diff --git a/gap/gaptypes.json b/gap/gaptypes.json
index b3433d0aae143708ff43e9097180d5a71fba4711..4609a4d5274955ac1f7acfc72144a27fdb81eb49 100644
--- a/gap/gaptypes.json
+++ b/gap/gaptypes.json
@@ -1 +1,407689 @@
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["Tester(IsNonTrivial)","Tester(IsLeftActedOnByDivisionRing)","Tester(IsAssociative)","Tester(IsCommutative)","Tester(IsAdditivelyCommutative)","Tester(IsLDistributive)","Tester(IsRDistributive)"]},{"name" : "((IsObject and Tester(RespectsMultiplication)) and Tester(RespectsInverses))","type" : "GAP_AndFilter","aka" : ["HasIsGroupGeneralMapping"],"conjunction_of" : ["Tester(RespectsMultiplication)","Tester(RespectsInverses)"]},{"name" : "(((IsObject and Tester(RespectsMultiplication)) and Tester(RespectsInverses)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))","type" : "GAP_AndFilter","aka" : ["HasIsGroupHomomorphism"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)","Tester(RespectsMultiplication)","Tester(RespectsInverses)"]},{"name" : "((IsObject and Tester(TransformsMultiplicationIntoAddition)) and Tester(TransformsInversesIntoAdditiveInverses))","type" : "GAP_AndFilter","aka" : ["HasIsGroupToAdditiveGroupGeneralMapping"],"conjunction_of" : ["Tester(TransformsMultiplicationIntoAddition)","Tester(TransformsInversesIntoAdditiveInverses)"]},{"name" : "(((IsObject and Tester(TransformsMultiplicationIntoAddition)) and Tester(TransformsInversesIntoAdditiveInverses)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))","type" : "GAP_AndFilter","aka" : ["HasIsGroupToAdditiveGroupHomomorphism"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)","Tester(TransformsMultiplicationIntoAddition)","Tester(TransformsInversesIntoAdditiveInverses)"]},{"name" : "(((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses)) and Tester(RespectsScalarMultiplication))","type" : "GAP_AndFilter","aka" : ["HasIsLeftModuleGeneralMapping"],"conjunction_of" : ["Tester(RespectsAddition)","Tester(RespectsAdditiveInverses)","Tester(RespectsScalarMultiplication)"]},{"name" : "((((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses)) and Tester(RespectsScalarMultiplication)) and ((IsObject 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["Tester(IsLeftActedOnByDivisionRing)","Tester(IsAdditivelyCommutative)","Tester(IsLDistributive)","Tester(IsRDistributive)","Tester(IsJacobianRing)","Tester(IsZeroSquaredRing)"]},{"name" : "(((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)) and Tester(RespectsMultiplication))","type" : "GAP_AndFilter","aka" : ["HasIsMagmaHomomorphism"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)","Tester(RespectsMultiplication)"]},{"name" : "((IsObject and Tester(IsTotal)) and Tester(IsSingleValued))","type" : "GAP_AndFilter","aka" : ["HasIsMapping"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)"]},{"name" : "(IsObject and Tester(IsAssociative))","type" : "GAP_AndFilter","aka" : ["HasIsMonoid"],"conjunction_of" : ["Tester(IsAssociative)"]},{"name" : "((IsObject and Tester(IsRDistributive)) and Tester(IsAssociative))","type" : "GAP_AndFilter","aka" : ["HasIsNearRing"],"conjunction_of" : ["Tester(IsAssociative)","Tester(IsRDistributive)"]},{"name" : "(((IsObject and Tester(IsRDistributive)) and Tester(IsAssociative)) and IsObject)","type" : "GAP_AndFilter","aka" : ["HasIsNearRingWithOne"],"conjunction_of" : ["Tester(IsAssociative)","Tester(IsRDistributive)"]},{"name" : "((IsObject and Tester(IsAssociative)) and IsObject)","type" : "GAP_AndFilter","aka" : ["HasIsReesMatrixSubsemigroup"],"conjunction_of" : ["Tester(IsAssociative)"]},{"name" : "((IsObject and Tester(IsAssociative)) and IsObject)","type" : "GAP_AndFilter","aka" : ["HasIsReesZeroMatrixSubsemigroup"],"conjunction_of" : ["Tester(IsAssociative)"]},{"name" : "(((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive)))","type" : "GAP_AndFilter","aka" : ["HasIsRing"],"conjunction_of" : ["Tester(IsAdditivelyCommutative)","Tester(IsLDistributive)","Tester(IsRDistributive)"]},{"name" : "((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and 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Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses))) and Tester(RespectsOne))","type" : "GAP_AndFilter","aka" : ["HasIsRingWithOneGeneralMapping"],"conjunction_of" : ["Tester(RespectsMultiplication)","Tester(RespectsOne)","Tester(RespectsAddition)","Tester(RespectsAdditiveInverses)"]},{"name" : "((((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses))) and Tester(RespectsOne)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))","type" : "GAP_AndFilter","aka" : ["HasIsRingWithOneHomomorphism"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)","Tester(RespectsMultiplication)","Tester(RespectsOne)","Tester(RespectsAddition)","Tester(RespectsAdditiveInverses)"]},{"name" : "(IsObject and Tester(IsAssociative))","type" : "GAP_AndFilter","aka" : ["HasIsSemigroup"],"conjunction_of" : ["Tester(IsAssociative)"]},{"name" : "(IsObject and Tester(RespectsMultiplication))","type" : "GAP_AndFilter","aka" : ["HasIsSemigroupGeneralMapping"],"conjunction_of" : ["Tester(RespectsMultiplication)"]},{"name" : "((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))","type" : "GAP_AndFilter","aka" : ["HasIsSemigroupHomomorphism"],"conjunction_of" : ["Tester(IsTotal)","Tester(IsSingleValued)","Tester(RespectsMultiplication)"]},{"name" : "(((IsObject and Tester(IsAdditivelyCommutative)) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive)))","type" : "GAP_AndFilter","aka" : ["HasIsSemiring"],"conjunction_of" : ["Tester(IsAdditivelyCommutative)","Tester(IsLDistributive)","Tester(IsRDistributive)"]},{"name" : "(((IsObject and Tester(IsAdditivelyCommutative)) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive)))","type" : "GAP_AndFilter","aka" : ["HasIsSemiringWithOne"],"conjunction_of" : ["Tester(IsAdditivelyCommutative)","Tester(IsLDistributive)","Tester(IsRDistributive)"]},{"name" : "(((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive)))","type" : "GAP_AndFilter","aka" : ["HasIsSemiringWithOneAndZero"],"conjunction_of" : ["Tester(IsAdditivelyCommutative)","Tester(IsLDistributive)","Tester(IsRDistributive)"]},{"name" : "(((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive)))","type" : "GAP_AndFilter","aka" : ["HasIsSemiringWithZero"],"conjunction_of" : ["Tester(IsAdditivelyCommutative)","Tester(IsLDistributive)","Tester(IsRDistributive)"]},{"name" : "((IsObject and Tester(IsAssociative)) and IsObject)","type" : "GAP_AndFilter","aka" : ["HasIsSubmonoidFpMonoid"],"conjunction_of" : ["Tester(IsAssociative)"]},{"name" : "((IsObject and Tester(IsAssociative)) and IsObject)","type" : "GAP_AndFilter","aka" : ["HasIsSubsemigroupFpSemigroup"],"conjunction_of" : ["Tester(IsAssociative)"]},{"name" : "(Tester(IsPolynomial) and Tester(IsUnivariateRationalFunction))","type" : "GAP_AndFilter","aka" : ["HasIsUnivariatePolynomial"],"conjunction_of" : ["Tester(IsPolynomial)","Tester(IsUnivariateRationalFunction)"]},{"name" : "(Tester(IsZero) and IsObject)","type" : "GAP_AndFilter","aka" : ["HasIsZeroRationalFunction"],"conjunction_of" : ["Tester(IsZero)"]},{"name" : "(((IsANFAutomorphismRep and IsFieldHomomorphism) and ((IsGeneralMapping and IsTotal) and IsSingleValued)) and (((IsSingleValued and IsTotal) and IsInjective) and IsSurjective))","type" : "GAP_AndFilter","aka" : ["IsANFAutomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)","IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsANFAutomorphismRep"]},{"name" : "(CategoryCollections(IsAdditiveElement) and IsList)","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementList"],"conjunction_of" : ["IsList","CategoryCollections(IsAdditiveElement)"]},{"name" : "(CategoryCollections(CategoryCollections(IsAdditiveElement)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsAdditiveElement))"]},{"name" : "(IsNearAdditiveElementWithInverse and IsAdditiveElement)","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithInverse"],"conjunction_of" : ["IsNearAdditiveElementWithInverse","IsAdditiveElement"]},{"name" : "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement)))","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithInverseCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))"]},{"name" : "(CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement))))","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithInverseCollCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))"]},{"name" : "(CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement))","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithInverseCollection"],"conjunction_of" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)"]},{"name" : "((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and IsList)","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithInverseList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)"]},{"name" : "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithInverseTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))"]},{"name" : "(IsNearAdditiveElementWithZero and IsAdditiveElement)","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithZero"],"conjunction_of" : ["IsNearAdditiveElementWithZero","IsAdditiveElement"]},{"name" : "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)) and CategoryCollections(CategoryCollections(IsAdditiveElement)))","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithZeroCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsAdditiveElement))"]},{"name" : "(CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement))))","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithZeroCollCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))"]},{"name" : "(CategoryCollections(IsNearAdditiveElementWithZero) and CategoryCollections(IsAdditiveElement))","type" : "GAP_AndFilter","aka" : ["IsAdditiveElementWithZeroCollection"],"conjunction_of" : ["CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsAdditiveElement)"]},{"name" : "((CategoryCollections(IsNearAdditiveElementWithZero) and 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["IsGeneralMapping","TransformsAdditionIntoMultiplication","Tester(TransformsAdditionIntoMultiplication)","TransformsAdditiveInversesIntoInverses","Tester(TransformsAdditiveInversesIntoInverses)"]},{"name" : "(((IsGeneralMapping and TransformsAdditionIntoMultiplication) and TransformsAdditiveInversesIntoInverses) and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsAdditiveGroupToGroupHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","TransformsAdditionIntoMultiplication","Tester(TransformsAdditionIntoMultiplication)","TransformsAdditiveInversesIntoInverses","Tester(TransformsAdditiveInversesIntoInverses)"]},{"name" : "(IsNearAdditiveMagma and IsAdditivelyCommutative)","type" : "GAP_AndFilter","aka" : ["IsAdditiveMagma"],"conjunction_of" : ["IsNearAdditiveMagma","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]},{"name" : "(IsNearAdditiveMagmaWithZero and (IsNearAdditiveMagma and IsAdditivelyCommutative))","type" : "GAP_AndFilter","aka" : ["IsAdditiveMagmaWithZero"],"conjunction_of" : ["IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]},{"name" : "(((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing) and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and (((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))) and IsAssociativeLOpDProd))","type" : "GAP_AndFilter","aka" : ["IsAlgebra"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "(((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)) and (((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and RespectsScalarMultiplication))","type" : "GAP_AndFilter","aka" : ["IsAlgebraGeneralMapping"],"conjunction_of" : ["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]},{"name" : "((((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)) and (((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and RespectsScalarMultiplication)) and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsAlgebraHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]},{"name" : "(((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing) and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and ((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)) and IsAssociativeLOpDProd))","type" : "GAP_AndFilter","aka" : ["IsAlgebraWithOne"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "((((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)) and (((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and RespectsScalarMultiplication)) and RespectsOne)","type" : "GAP_AndFilter","aka" : ["IsAlgebraWithOneGeneralMapping"],"conjunction_of" : ["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]},{"name" : "(((((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)) and (((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and RespectsScalarMultiplication)) and RespectsOne) and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsAlgebraWithOneHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]},{"name" : "(IsWord and IsAssociativeElement)","type" : "GAP_AndFilter","aka" : ["IsAssocWord"],"conjunction_of" : ["IsAssociativeElement","IsWord"]},{"name" : "((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse))","type" : "GAP_AndFilter","aka" : ["IsAssocWordWithInverse","IsElementOfFreeGroup"],"conjunction_of" : ["IsMultiplicativeElementWithInverse","IsAssociativeElement","IsWord"]},{"name" : "((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne))","type" : "GAP_AndFilter","aka" : ["IsAssocWordWithOne"],"conjunction_of" : ["IsMultiplicativeElementWithOne","IsAssociativeElement","IsWord"]},{"name" : "(((IsSingleValued and IsTotal) and IsInjective) and IsSurjective)","type" : "GAP_AndFilter","aka" : ["IsBijective"],"conjunction_of" : ["IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)"]},{"name" : "(IsEndoGeneralMapping and IsConjugatorIsomorphism)","type" : "GAP_AndFilter","aka" : ["IsConjugatorAutomorphism"],"conjunction_of" : ["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"]},{"name" : "(CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic))) and (((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))) and (IsMagmaWithInverses and IsAssociative)))","type" : "GAP_AndFilter","aka" : ["IsCyclotomicMatrixGroup"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]},{"name" : "(IsLDistributive and IsRDistributive)","type" : "GAP_AndFilter","aka" : ["IsDistributive"],"conjunction_of" : ["IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "(((((IsMagmaWithInversesIfNonzero and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and ((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)) and IsAssociativeLOpDProd)) and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing)) and IsNonTrivial) and IsAssociative) and IsEuclideanRing)","type" : "GAP_AndFilter","aka" : ["IsDivisionRing"],"conjunction_of" : ["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]},{"name" : "(IsGeneralizedDomain and IsCollection)","type" : "GAP_AndFilter","aka" : ["IsDomain"],"conjunction_of" : ["IsCollection","IsGeneralizedDomain"]},{"name" : "(IsCollection and IsDuplicateFree)","type" : "GAP_AndFilter","aka" : ["IsDuplicateFreeCollection"],"conjunction_of" : ["IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)"]},{"name" : "(IsDuplicateFree and IsList)","type" : "GAP_AndFilter","aka" : ["IsDuplicateFreeList"],"conjunction_of" : ["IsList","IsDuplicateFree","Tester(IsDuplicateFree)"]},{"name" : "(((IsGeneralMapping and IsTotal) and IsSingleValued) and IsEndoGeneralMapping)","type" : "GAP_AndFilter","aka" : ["IsEndoMapping"],"conjunction_of" : ["IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]},{"name" : "((IsEnumeratorByFunctionsRep and IsDenseList) and (IsDuplicateFree and IsList))","type" : "GAP_AndFilter","aka" : ["IsEnumeratorByFunctions"],"conjunction_of" : ["IsList","IsDenseList","IsDuplicateFree","Tester(IsDuplicateFree)","IsEnumeratorByFunctionsRep"]},{"name" : "(CategoryCollections(IsExtAElement) and IsList)","type" : "GAP_AndFilter","aka" : ["IsExtAElementList"],"conjunction_of" : ["IsList","CategoryCollections(IsExtAElement)"]},{"name" : "(CategoryCollections(CategoryCollections(IsExtAElement)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsExtAElementTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsExtAElement))"]},{"name" : "(CategoryCollections(IsExtLElement) and IsList)","type" : "GAP_AndFilter","aka" : ["IsExtLElementList"],"conjunction_of" : ["IsList","CategoryCollections(IsExtLElement)"]},{"name" : "(CategoryCollections(CategoryCollections(IsExtLElement)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsExtLElementTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsExtLElement))"]},{"name" : "(CategoryCollections(IsExtRElement) and IsList)","type" : "GAP_AndFilter","aka" : ["IsExtRElementList"],"conjunction_of" : ["IsList","CategoryCollections(IsExtRElement)"]},{"name" : "(CategoryCollections(CategoryCollections(IsExtRElement)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsExtRElementTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsExtRElement))"]},{"name" : "(CategoryCollections(CategoryCollections(CategoryCollections(IsFFE))) and (((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))) and (IsMagmaWithInverses and IsAssociative)))","type" : "GAP_AndFilter","aka" : ["IsFFEMatrixGroup"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]},{"name" : "(IsFreeLeftModule and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and (((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))) and IsAssociativeLOpDProd))","type" : "GAP_AndFilter","aka" : ["IsFLMLOR"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]},{"name" : "(IsFreeLeftModule and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and ((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)) and IsAssociativeLOpDProd))","type" : "GAP_AndFilter","aka" : ["IsFLMLORWithOne"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]},{"name" : "((((((IsMagmaWithInversesIfNonzero and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and ((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)) and IsAssociativeLOpDProd)) and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing)) and IsNonTrivial) and IsAssociative) and IsEuclideanRing) and IsCommutative)","type" : "GAP_AndFilter","aka" : ["IsField"],"conjunction_of" : ["IsNonTrivial","Tester(IsNonTrivial)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing"]},{"name" : "((IsBasis and IsCopyable) and IsListDefault)","type" : "GAP_AndFilter","aka" : ["IsFiniteBasisDefault"],"conjunction_of" : ["IsCopyable","IsListDefault","IsBasis"]},{"name" : "(IsFloatRationalFunction and IsPolynomial)","type" : "GAP_AndFilter","aka" : ["IsFloatPolynomial"],"conjunction_of" : ["IsPolynomial","Tester(IsPolynomial)","IsFloatRationalFunction"]},{"name" : "(IsFloatRationalFunction and (IsPolynomial and IsUnivariateRationalFunction))","type" : "GAP_AndFilter","aka" : ["IsFloatUnivariatePolynomial"],"conjunction_of" : ["IsPolynomial","Tester(IsPolynomial)","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)","IsFloatRationalFunction"]},{"name" : "(IsSubgroupFpGroup and IsGroupOfFamily)","type" : "GAP_AndFilter","aka" : ["IsFpGroup"],"conjunction_of" : ["IsGroupOfFamily","IsSubgroupFpGroup"]},{"name" : "(((IsMagmaWithOne and IsAssociative) and CategoryCollections(IsElementOfFpMonoid)) and IsWholeFamily)","type" : "GAP_AndFilter","aka" : ["IsFpMonoid"],"conjunction_of" : ["IsWholeFamily","Tester(IsWholeFamily)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpMonoid)"]},{"name" : "(((IsMagma and IsAssociative) and CategoryCollections(IsElementOfFpSemigroup)) and IsWholeFamily)","type" : "GAP_AndFilter","aka" : ["IsFpSemigroup"],"conjunction_of" : ["IsWholeFamily","Tester(IsWholeFamily)","IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsElementOfFpSemigroup)"]},{"name" : "(CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse))) and (IsMagmaWithInverses and IsAssociative))","type" : "GAP_AndFilter","aka" : ["IsFreeGroup"],"conjunction_of" : ["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"]},{"name" : "(CategoryCollections(IsNonassocWord) and IsMagma)","type" : "GAP_AndFilter","aka" : ["IsFreeMagma"],"conjunction_of" : ["IsMagma","CategoryCollections(IsNonassocWord)"]},{"name" : "(IsFreeMagmaRing and IsMagmaWithOne)","type" : "GAP_AndFilter","aka" : ["IsFreeMagmaRingWithOne"],"conjunction_of" : ["IsMagmaWithOne","IsFreeMagmaRing"]},{"name" : "(IsFromFpGroupGeneralMapping 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((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing)))","type" : "GAP_AndFilter","aka" : ["IsGaussianMatrixSpace"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsMatrixModule","Tester(IsMatrixModule)","IsGaussianSpace"]},{"name" : "(IsGaussianSpace and (IsRowModule and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing)))","type" : "GAP_AndFilter","aka" : ["IsGaussianRowSpace"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsRowModule","Tester(IsRowModule)","IsGaussianSpace"]},{"name" : "(IsMagmaWithInverses and IsAssociative)","type" : "GAP_AndFilter","aka" : ["IsGroup"],"conjunction_of" : ["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]},{"name" : "((IsGeneralMapping and RespectsMultiplication) and RespectsInverses)","type" : "GAP_AndFilter","aka" : ["IsGroupGeneralMapping"],"conjunction_of" : ["IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]},{"name" : "(((IsGeneralMapping and RespectsMultiplication) and RespectsInverses) and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsGroupHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsInverses","Tester(RespectsInverses)"]},{"name" : "((IsGeneralMapping and TransformsMultiplicationIntoAddition) and TransformsInversesIntoAdditiveInverses)","type" : "GAP_AndFilter","aka" : ["IsGroupToAdditiveGroupGeneralMapping"],"conjunction_of" : ["IsGeneralMapping","TransformsMultiplicationIntoAddition","Tester(TransformsMultiplicationIntoAddition)","TransformsInversesIntoAdditiveInverses","Tester(TransformsInversesIntoAdditiveInverses)"]},{"name" : "(((IsGeneralMapping and TransformsMultiplicationIntoAddition) and TransformsInversesIntoAdditiveInverses) and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsGroupToAdditiveGroupHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","TransformsMultiplicationIntoAddition","Tester(TransformsMultiplicationIntoAddition)","TransformsInversesIntoAdditiveInverses","Tester(TransformsInversesIntoAdditiveInverses)"]},{"name" : "(CategoryCollections(IsInfoClass) and IsSSortedList)","type" : "GAP_AndFilter","aka" : ["IsInfoSelector"],"conjunction_of" : ["IsSSortedList","Tester(IS_SSORT_LIST)","CategoryCollections(IsInfoClass)"]},{"name" : "((IsMagmaWithOne and IsAssociative) and IsInverseSemigroup)","type" : "GAP_AndFilter","aka" : ["IsInverseMonoid"],"conjunction_of" : ["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsInverseSemigroup","Tester(IsInverseSemigroup)"]},{"name" : "(IsIteratorByFunctionsRep and IsIterator)","type" : "GAP_AndFilter","aka" : ["IsIteratorByFunctions"],"conjunction_of" : ["IsIterator","IsIteratorByFunctionsRep"]},{"name" : "(IsMagma and IsLeftActedOnBySuperset)","type" : "GAP_AndFilter","aka" : ["IsLeftMagmaIdeal"],"conjunction_of" : ["IsLeftActedOnBySuperset","IsMagma"]},{"name" : "(((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne)","type" : "GAP_AndFilter","aka" : ["IsLeftModule"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]},{"name" : "(((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and RespectsScalarMultiplication)","type" : "GAP_AndFilter","aka" : ["IsLeftModuleGeneralMapping"],"conjunction_of" : ["IsGeneralMapping","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]},{"name" : "((((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and RespectsScalarMultiplication) and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsLeftModuleHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsAddition","Tester(RespectsAddition)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]},{"name" : "(((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum)","type" : "GAP_AndFilter","aka" : ["IsLeftOperatorAdditiveGroup"],"conjunction_of" : ["IsExtLSet","IsDistributiveLOpDSum","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]},{"name" : "(((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and (((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))) and IsAssociativeLOpDProd)","type" : "GAP_AndFilter","aka" : ["IsLeftOperatorRing"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "(((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and ((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)) and IsAssociativeLOpDProd)","type" : "GAP_AndFilter","aka" : ["IsLeftOperatorRingWithOne"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsMagmaWithOne","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing)","type" : "GAP_AndFilter","aka" : ["IsLeftVectorSpace","IsVectorSpace"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]},{"name" : "(((((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing) and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and (((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))) and IsAssociativeLOpDProd)) and IsZeroSquaredRing) and IsJacobianRing)","type" : "GAP_AndFilter","aka" : ["IsLieAlgebra"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsJacobianRing","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)"]},{"name" : "(((IsGeneralMapping and IsTotal) and IsSingleValued) and RespectsMultiplication)","type" : "GAP_AndFilter","aka" : ["IsMagmaHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)"]},{"name" : "((IsMagma and IsLeftActedOnBySuperset) and (IsMagma and IsRightActedOnBySuperset))","type" : "GAP_AndFilter","aka" : ["IsMagmaIdeal"],"conjunction_of" : ["IsLeftActedOnBySuperset","IsRightActedOnBySuperset","IsMagma"]},{"name" : "((IsGeneralMapping and IsTotal) and IsSingleValued)","type" : "GAP_AndFilter","aka" : ["IsMapping"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)"]},{"name" : "(((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElement)) and IsTable))","type" : "GAP_AndFilter","aka" : ["IsMatrix","IsRingElementTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]},{"name" : "((IsFreeLeftModule and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and (((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))) and IsAssociativeLOpDProd)) and ((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))))","type" : "GAP_AndFilter","aka" : ["IsMatrixFLMLOR"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsExtLSet","IsAssociativeLOpDProd","IsDistributiveLOpDSum","IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"]},{"name" : "(((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))) and (IsMagmaWithInverses and IsAssociative))","type" : "GAP_AndFilter","aka" : ["IsMatrixGroup"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]},{"name" : "(IsMatrixModule and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing))","type" : "GAP_AndFilter","aka" : ["IsMatrixSpace"],"conjunction_of" : ["IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsMatrixModule","Tester(IsMatrixModule)"]},{"name" : "(IsMagmaWithOne and IsAssociative)","type" : "GAP_AndFilter","aka" : ["IsMonoid"],"conjunction_of" : ["IsMagmaWithOne","IsAssociative","Tester(IsAssociative)"]},{"name" : "(CategoryCollections(IsMultiplicativeElement) and IsList)","type" : "GAP_AndFilter","aka" : ["IsMultiplicativeElementList"],"conjunction_of" : ["IsList","CategoryCollections(IsMultiplicativeElement)"]},{"name" : "(CategoryCollections(CategoryCollections(IsMultiplicativeElement)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsMultiplicativeElementTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]},{"name" : "(CategoryCollections(IsMultiplicativeElementWithInverse) and IsList)","type" : "GAP_AndFilter","aka" : ["IsMultiplicativeElementWithInverseList"],"conjunction_of" : ["IsList","CategoryCollections(IsMultiplicativeElementWithInverse)"]},{"name" : "(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsMultiplicativeElementWithInverseTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"]},{"name" : "(CategoryCollections(IsMultiplicativeElementWithOne) and IsList)","type" : "GAP_AndFilter","aka" : ["IsMultiplicativeElementWithOneList"],"conjunction_of" : ["IsList","CategoryCollections(IsMultiplicativeElementWithOne)"]},{"name" : "(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsMultiplicativeElementWithOneTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))"]},{"name" : "(IsNaturalGL and IsIntegerMatrixGroup)","type" : "GAP_AndFilter","aka" : ["IsNaturalGLnZ"],"conjunction_of" : ["IsNaturalGL","Tester(IsNaturalGL)","IsIntegerMatrixGroup","Tester(IsIntegerMatrixGroup)"]},{"name" : "(IsNaturalSL and IsIntegerMatrixGroup)","type" : "GAP_AndFilter","aka" : ["IsNaturalSLnZ"],"conjunction_of" : ["IsNaturalSL","Tester(IsNaturalSL)","IsIntegerMatrixGroup","Tester(IsIntegerMatrixGroup)"]},{"name" : "(CategoryCollections(IsNearAdditiveElement) and IsList)","type" : "GAP_AndFilter","aka" : ["IsNearAdditiveElementList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElement)"]},{"name" : "(CategoryCollections(CategoryCollections(IsNearAdditiveElement)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsNearAdditiveElementTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElement))"]},{"name" : "(CategoryCollections(IsNearAdditiveElementWithInverse) and IsList)","type" : "GAP_AndFilter","aka" : ["IsNearAdditiveElementWithInverseList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)"]},{"name" : "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsNearAdditiveElementWithInverseTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))"]},{"name" : "(CategoryCollections(IsNearAdditiveElementWithZero) and IsList)","type" : "GAP_AndFilter","aka" : ["IsNearAdditiveElementWithZeroList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithZero)"]},{"name" : "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsNearAdditiveElementWithZeroTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))"]},{"name" : "(((IsNearAdditiveGroup and IsMagma) and IsRDistributive) and IsAssociative)","type" : "GAP_AndFilter","aka" : ["IsNearRing"],"conjunction_of" : ["IsMagma","IsAssociative","Tester(IsAssociative)","IsNearAdditiveGroup","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "(IsNearAdditiveElementWithInverse and IsMultiplicativeElement)","type" : "GAP_AndFilter","aka" : ["IsNearRingElement"],"conjunction_of" : ["IsNearAdditiveElementWithInverse","IsMultiplicativeElement"]},{"name" : "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]},{"name" : "(CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement))))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementCollCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))"]},{"name" : "(CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsMultiplicativeElement))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementCollection"],"conjunction_of" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsMultiplicativeElement)"]},{"name" : "((CategoryCollections(IsNearAdditiveElementWithInverse) and IsList) and (CategoryCollections(IsMultiplicativeElement) and IsList))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsMultiplicativeElement)"]},{"name" : "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElement)) and IsTable))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]},{"name" : "(IsNearAdditiveElementWithInverse and IsMultiplicativeElementWithInverse)","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithInverse"],"conjunction_of" : ["IsNearAdditiveElementWithInverse","IsMultiplicativeElementWithInverse"]},{"name" : "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithInverseCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"]},{"name" : "(CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithInverseCollCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))"]},{"name" : "(CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsMultiplicativeElementWithInverse))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithInverseCollection"],"conjunction_of" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsMultiplicativeElementWithInverse)"]},{"name" : "((CategoryCollections(IsNearAdditiveElementWithInverse) and IsList) and (CategoryCollections(IsMultiplicativeElementWithInverse) and IsList))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithInverseList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsMultiplicativeElementWithInverse)"]},{"name" : "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)) and IsTable))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithInverseTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"]},{"name" : "(IsNearAdditiveElementWithInverse and IsMultiplicativeElementWithOne)","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithOne"],"conjunction_of" : ["IsNearAdditiveElementWithInverse","IsMultiplicativeElementWithOne"]},{"name" : "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithOneCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))"]},{"name" : "(CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithOneCollCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))"]},{"name" : "(CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsMultiplicativeElementWithOne))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithOneCollection"],"conjunction_of" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsMultiplicativeElementWithOne)"]},{"name" : "((CategoryCollections(IsNearAdditiveElementWithInverse) and IsList) and (CategoryCollections(IsMultiplicativeElementWithOne) and IsList))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithOneList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsMultiplicativeElementWithOne)"]},{"name" : "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)) and IsTable))","type" : "GAP_AndFilter","aka" : ["IsNearRingElementWithOneTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))"]},{"name" : "((((IsNearAdditiveGroup and IsMagma) and IsRDistributive) and IsAssociative) and IsMagmaWithOne)","type" : "GAP_AndFilter","aka" : ["IsNearRingWithOne"],"conjunction_of" : ["IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","IsNearAdditiveGroup","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "(IsInt and IsNegRat)","type" : "GAP_AndFilter","aka" : ["IsNegInt"],"conjunction_of" : ["IsInt","IsNegRat"]},{"name" : "(IsNonassocWord and (IsWord and IsMultiplicativeElementWithOne))","type" : "GAP_AndFilter","aka" : ["IsNonassocWordWithOne"],"conjunction_of" : ["IsMultiplicativeElementWithOne","IsWord","IsNonassocWord"]},{"name" : "(CategoryCollections(IsPadicNumber) and IsList)","type" : "GAP_AndFilter","aka" : ["IsPadicNumberList"],"conjunction_of" : ["IsList","CategoryCollections(IsPadicNumber)"]},{"name" : "(CategoryCollections(CategoryCollections(IsPadicNumber)) and IsTable)","type" : "GAP_AndFilter","aka" : ["IsPadicNumberTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsPadicNumber))"]},{"name" : "((IsMagmaWithOne and IsAssociative) and CategoryCollections(IsPartialPerm))","type" : "GAP_AndFilter","aka" : ["IsPartialPermMonoid"],"conjunction_of" : ["CategoryCollections(IsPartialPerm)","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)"]},{"name" : "((IsMagma and IsAssociative) and CategoryCollections(IsPartialPerm))","type" : "GAP_AndFilter","aka" : ["IsPartialPermSemigroup"],"conjunction_of" : ["CategoryCollections(IsPartialPerm)","IsMagma","IsAssociative","Tester(IsAssociative)"]},{"name" : "(CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector) and (IsMagmaWithInverses and IsAssociative))","type" : "GAP_AndFilter","aka" : ["IsPcGroup"],"conjunction_of" : ["IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]},{"name" : "(IsPcGroupGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsPcGroupHomomorphismByImages"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsPcGroupGeneralMappingByImages"]},{"name" : "(IsPcgsToPcgsGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsPcgsToPcgsHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsPcgsToPcgsGeneralMappingByImages"]},{"name" : "((IsMagmaWithInverses and IsAssociative) and CategoryCollections(IsPerm))","type" : "GAP_AndFilter","aka" : ["IsPermGroup"],"conjunction_of" : ["CategoryCollections(IsPerm)","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)"]},{"name" : "(IsPermGroupGeneralMapping and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsPermGroupHomomorphism"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsPermGroupGeneralMapping"]},{"name" : "(IsPermGroupGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))","type" : "GAP_AndFilter","aka" : ["IsPermGroupHomomorphismByImages"],"conjunction_of" : ["IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsPermGroupGeneralMappingByImages"]},{"name" : "((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and CategoryCollections(IsRationalFunction)) and Tester(LeftActingRingOfIdeal)) and Tester(RightActingRingOfIdeal))","type" : "GAP_AndFilter","aka" : ["IsPolynomialRingIdeal"],"conjunction_of" : ["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","Tester(LeftActingRingOfIdeal)","Tester(RightActingRingOfIdeal)","CategoryCollections(IsRationalFunction)"]},{"name" : "(IsInt and IsPosRat)","type" : "GAP_AndFilter","aka" : ["IsPosInt"],"conjunction_of" : ["IsInt","IsPosRat"]},{"name" : "((CategoryCollections(IsCyclotomic) and ((((((IsMagmaWithInversesIfNonzero and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and ((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)) and IsAssociativeLOpDProd)) and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing)) and IsNonTrivial) and IsAssociative) and IsEuclideanRing) and IsCommutative)) and IsPrimeField)","type" : "GAP_AndFilter","aka" : ["IsRationals"],"conjunction_of" : ["IsNonTrivial","Tester(IsNonTrivial)","CategoryCollections(IsCyclotomic)","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsEuclideanRing","IsPrimeField","Tester(IsPrimeField)"]},{"name" : "(IsTranslationInvariantOrdering and IsWellFoundedOrdering)","type" : "GAP_AndFilter","aka" : ["IsReductionOrdering"],"conjunction_of" : ["IsWellFoundedOrdering","Tester(IsWellFoundedOrdering)","IsTranslationInvariantOrdering","Tester(IsTranslationInvariantOrdering)"]},{"name" : "((IsMagma and IsAssociative) and CategoryCollections(IsReesMatrixSemigroupElement))","type" : "GAP_AndFilter","aka" : ["IsReesMatrixSubsemigroup"],"conjunction_of" : ["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesMatrixSemigroupElement)"]},{"name" : "((IsMagma and IsAssociative) and CategoryCollections(IsReesZeroMatrixSemigroupElement))","type" : "GAP_AndFilter","aka" : ["IsReesZeroMatrixSubsemigroup"],"conjunction_of" : ["IsMagma","IsAssociative","Tester(IsAssociative)","CategoryCollections(IsReesZeroMatrixSemigroupElement)"]},{"name" : "(IsLieObject and IsRestrictedJacobianElement)","type" : "GAP_AndFilter","aka" : ["IsRestrictedLieObject"],"conjunction_of" : ["IsRestrictedJacobianElement","IsLieObject"]},{"name" : "(IsMagma and IsRightActedOnBySuperset)","type" : "GAP_AndFilter","aka" : ["IsRightMagmaIdeal"],"conjunction_of" : ["IsRightActedOnBySuperset","IsMagma"]},{"name" : "(((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtRSet) and IsDistributiveROpDSum) and IsRightActedOnByRing) and IsDistributiveROpESum) and IsAssociativeROpEProd) and IsTrivialROpEOne)","type" : "GAP_AndFilter","aka" : ["IsRightModule"],"conjunction_of" : ["IsExtRSet","IsAssociativeROpEProd","IsDistributiveROpDSum","IsDistributiveROpESum","IsTrivialROpEOne","IsRightActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]},{"name" : "(((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtRSet) and IsDistributiveROpDSum)","type" : "GAP_AndFilter","aka" : ["IsRightOperatorAdditiveGroup"],"conjunction_of" : ["IsExtRSet","IsDistributiveROpDSum","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]},{"name" : "(((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))","type" : "GAP_AndFilter","aka" : ["IsRing"],"conjunction_of" : ["IsMagma","IsNearAdditiveMagma","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)"]},{"name" : "((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement)","type" : "GAP_AndFilter","aka" : ["IsRingElement"],"conjunction_of" : ["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElement"]},{"name" : "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","type" : "GAP_AndFilter","aka" : ["IsRingElementCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"]},{"name" : "((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement))))","type" : "GAP_AndFilter","aka" : ["IsRingElementCollCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))"]},{"name" : "((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and CategoryCollections(IsMultiplicativeElement))","type" : "GAP_AndFilter","aka" : ["IsRingElementCollection"],"conjunction_of" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]},{"name" : "(((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and IsList) and (CategoryCollections(IsMultiplicativeElement) and IsList))","type" : "GAP_AndFilter","aka" : ["IsRingElementList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElement)"]},{"name" : "((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElementWithInverse)","type" : "GAP_AndFilter","aka" : ["IsRingElementWithInverse","IsScalar"],"conjunction_of" : ["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithInverse"]},{"name" : "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithInverseCollColl","IsScalarCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"]},{"name" : "((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithInverseCollCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))"]},{"name" : "((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and CategoryCollections(IsMultiplicativeElementWithInverse))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithInverseCollection","IsScalarCollection"],"conjunction_of" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElementWithInverse)"]},{"name" : "(((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and IsList) and (CategoryCollections(IsMultiplicativeElementWithInverse) and IsList))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithInverseList","IsScalarList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElementWithInverse)"]},{"name" : "(((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)) and IsTable))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithInverseTable","IsScalarTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"]},{"name" : "((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElementWithOne)","type" : "GAP_AndFilter","aka" : ["IsRingElementWithOne"],"conjunction_of" : ["IsNearAdditiveElementWithInverse","IsAdditiveElement","IsMultiplicativeElementWithOne"]},{"name" : "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithOneCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))"]},{"name" : "((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithOneCollCollColl"],"conjunction_of" : ["CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))"]},{"name" : "((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and CategoryCollections(IsMultiplicativeElementWithOne))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithOneCollection"],"conjunction_of" : ["CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElementWithOne)"]},{"name" : "(((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and IsList) and (CategoryCollections(IsMultiplicativeElementWithOne) and IsList))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithOneList"],"conjunction_of" : ["IsList","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsMultiplicativeElementWithOne)"]},{"name" : "(((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)) and IsTable))","type" : "GAP_AndFilter","aka" : ["IsRingElementWithOneTable"],"conjunction_of" : ["IsTable","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))"]},{"name" : "((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses))","type" : "GAP_AndFilter","aka" : ["IsRingGeneralMapping"],"conjunction_of" : 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\ No newline at end of file
+[
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+            "IsAdditiveElement",
+            "IsExtLElement",
+            "IsExtRElement",
+            "IsMultiplicativeElement",
+            "IsMultiplicativeElementWithOne",
+            "IsMultiplicativeElementWithInverse",
+            "IsAssociativeElement",
+            "IsAdditivelyCommutativeElement",
+            "IsCommutativeElement",
+            "IsZmodnZObj"
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+            "IsNearAdditiveElementWithInverse",
+            "IsAdditiveElement",
+            "IsExtLElement",
+            "IsExtRElement",
+            "IsMultiplicativeElement",
+            "IsMultiplicativeElementWithOne",
+            "IsMultiplicativeElementWithInverse",
+            "IsAssociativeElement",
+            "IsAdditivelyCommutativeElement",
+            "IsCommutativeElement",
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+        "name": "IsZmodnZObjNonprime",
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+            "Tester(IsFinite)",
+            "IsConstantTimeAccessList",
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+            "Tester(IsDuplicateFree)",
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+            "IsExtRElement",
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+            "CategoryCollections(IsMultiplicativeElementWithOne)",
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+            "IsGeneralPcgs",
+            "IsModuloPcgs"
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+            "IsExtRElement",
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+            "CategoryCollections(IsMultiplicativeElementWithOne)",
+            "CategoryCollections(IsMultiplicativeElementWithInverse)",
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+            "IsPcgs"
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+        "name": "Tester(IsPcgsCentralSeries)",
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+            "IsZeroSquaredRing",
+            "IsJacobianRing"
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+        },
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+        "name": "LieCentralizerInParent",
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+            "IsMagmaWithInverses",
+            "IsAssociative"
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+            "line": 820
+        },
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+        "type": "GAP_Property"
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+            "IsMagmaWithInverses",
+            "IsAssociative"
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+        "type": "GAP_Property"
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+        "name": "DixonRecord",
+        "type": "GAP_Attribute"
+    },
+    {
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+            "IsMagmaWithInverses",
+            "IsAssociative"
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+        "name": "IrrDixonSchneider",
+        "type": "GAP_Attribute"
+    },
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+        "filters": [
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+        "location": {
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+        },
+        "name": "PermutationTom",
+        "type": "GAP_Attribute"
+    },
+    {
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+        "filters": [
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+        "name": "MarksTom",
+        "type": "GAP_Attribute"
+    },
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+        "name": "SubsTom",
+        "type": "GAP_Attribute"
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+        "location": {
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+        "name": "NrSubsTom",
+        "type": "GAP_Attribute"
+    },
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+        "location": {
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+        },
+        "name": "OrdersTom",
+        "type": "GAP_Attribute"
+    },
+    {
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+        "filters": [
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+        "location": {
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+        },
+        "name": "LengthsTom",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
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+        "filters": [
+            "IsTableOfMarks"
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+        "location": {
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+            "line": 836
+        },
+        "name": "ClassTypesTom",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            "IsTableOfMarks"
+        ],
+        "location": {
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+            "line": 884
+        },
+        "name": "ClassNamesTom",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            "IsTableOfMarks"
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+        "location": {
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+        },
+        "name": "FusionsTom",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
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+        ],
+        "location": {
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+            "line": 993
+        },
+        "name": "IdempotentsTom",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
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+        "filters": [
+            "IsTableOfMarks"
+        ],
+        "location": {
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+            "line": 994
+        },
+        "name": "IdempotentsTomInfo",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
+            "MatTom"
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+        "filters": [
+            "IsTableOfMarks"
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+        "location": {
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+            "line": 1059
+        },
+        "name": "MatTom",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            "IsTableOfMarks"
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+        "location": {
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+        },
+        "name": "MoebiusTom",
+        "type": "GAP_Attribute"
+    },
+    {
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+        "filters": [
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+        "location": {
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+        "name": "WeightsTom",
+        "type": "GAP_Attribute"
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+        "aka": [
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+        "filters": [
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+        "location": {
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+        },
+        "name": "IsAbelianTom",
+        "type": "GAP_Property"
+    },
+    {
+        "aka": [
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+        "filters": [
+            "IsTableOfMarks"
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+        "location": {
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+        },
+        "name": "IsCyclicTom",
+        "type": "GAP_Property"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            "IsTableOfMarks"
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+        "location": {
+            "file": "/home/makx/ac/gap/lib/tom.gd",
+            "line": 1249
+        },
+        "name": "IsNilpotentTom",
+        "type": "GAP_Property"
+    },
+    {
+        "aka": [
+            "IsPerfectTom"
+        ],
+        "filters": [
+            "IsTableOfMarks"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/lib/tom.gd",
+            "line": 1269
+        },
+        "name": "IsPerfectTom",
+        "type": "GAP_Property"
+    },
+    {
+        "aka": [
+            "IsSolubleTom",
+            "IsSolvableTom"
+        ],
+        "filters": [
+            "IsTableOfMarks"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/lib/tom.gd",
+            "line": 1289
+        },
+        "name": "IsSolvableTom",
+        "type": "GAP_Property"
+    },
+    {
+        "aka": [
+            "DerivedSubgroupsTomPossible"
+        ],
+        "filters": [
+            "IsTableOfMarks"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/lib/tom.gd",
+            "line": 1393
+        },
+        "name": "DerivedSubgroupsTomPossible",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
+            "DerivedSubgroupsTomUnique"
+        ],
+        "filters": [
+            "IsTableOfMarks"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/lib/tom.gd",
+            "line": 1394
+        },
+        "name": "DerivedSubgroupsTomUnique",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
+            "NormalisersTom",
+            "NormalizersTom"
+        ],
+        "filters": [
+            "IsTableOfMarks"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/lib/tom.gd",
+            "line": 1446
+        },
+        "name": "NormalizersTom",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
+            "CyclicExtensionsTom"
+        ],
+        "filters": [
+            "IsTableOfMarks"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/lib/tom.gd",
+            "line": 1539
+        },
+        "name": "CyclicExtensionsTom",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
+            "ComputedCyclicExtensionsTom"
+        ],
+        "filters": [
+            "IsTableOfMarks"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/lib/tom.gd",
+            "line": 1566
+        },
+        "name": "ComputedCyclicExtensionsTom",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
+            "MaximalSubgroupsTom"
+        ],
+        "filters": [
+            "IsTableOfMarks"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/lib/tom.gd",
+            "line": 1750
+        },
+        "name": "MaximalSubgroupsTom",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
+            "GeneratorsSubgroupsTom"
+        ],
+        "filters": [
+            "IsTableOfMarks"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/lib/tom.gd",
+            "line": 1851
+        },
+        "name": "GeneratorsSubgroupsTom",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
+            "StraightLineProgramsTom"
+        ],
+        "filters": [
+            "IsTableOfMarks"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/lib/tom.gd",
+            "line": 1883
+        },
+        "name": "StraightLineProgramsTom",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
+            "IdGroup",
+            "IdSmallGroup"
+        ],
+        "filters": [
+            "IsMagmaWithInverses",
+            "IsAssociative"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/small/small.gd",
+            "line": 306
+        },
+        "name": "IdGroup",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
+            "Gap3CatalogueIdGroup",
+            "IdGap3SolvableGroup"
+        ],
+        "filters": [
+            "IsMagmaWithInverses",
+            "IsAssociative"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/small/small.gd",
+            "line": 369
+        },
+        "name": "Gap3CatalogueIdGroup",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
+            "FrattinifactorSize"
+        ],
+        "filters": [
+            "IsMagmaWithInverses",
+            "IsAssociative"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/small/small.gd",
+            "line": 400
+        },
+        "name": "FrattinifactorSize",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
+            "FrattinifactorId"
+        ],
+        "filters": [
+            "IsMagmaWithInverses",
+            "IsAssociative"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/small/small.gd",
+            "line": 413
+        },
+        "name": "FrattinifactorId",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
+            "GaloisType"
+        ],
+        "filters": [
+            "IsRationalFunction"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/lib/galois.gd",
+            "line": 56
+        },
+        "name": "GaloisType",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
+            "SimsNo"
+        ],
+        "filters": [
+            "IsMagmaWithInverses",
+            "IsAssociative",
+            "CategoryCollections(IsPerm)"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/prim/primitiv.gd",
+            "line": 238
+        },
+        "name": "SimsNo",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
+            "MinimalBlockDimension"
+        ],
+        "filters": [
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+            "IsMagmaWithInverses",
+            "IsAssociative"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/prim/irredsol.gd",
+            "line": 243
+        },
+        "name": "MinimalBlockDimension",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
+            "IsLinearlyPrimitive",
+            "IsPrimitiveMatrixGroup"
+        ],
+        "filters": [
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+            "IsMagmaWithInverses",
+            "IsAssociative"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/prim/irredsol.gd",
+            "line": 257
+        },
+        "name": "IsPrimitiveMatrixGroup",
+        "type": "GAP_Property"
+    },
+    {
+        "aka": [
+            "ProcessID"
+        ],
+        "filters": [
+            "IsFile"
+        ],
+        "location": {
+            "file": "/home/makx/ac/gap/pkg/io-4.4.4/gap/io.gd",
+            "line": 17
+        },
+        "name": "ProcessID",
+        "type": "GAP_Attribute"
+    },
+    {
+        "aka": [
+            "VIEW_OBJ",
+            "ViewObj"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oper.g",
+                "line": 1454
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ViewObj: for groups with known structure description",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(StructureDescription)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnames.gi",
+                        "line": 1756
+                    },
+                    "rank": 10036
+                },
+                {
+                    "aka": [
+                        "ViewFullHomModule"
+                    ],
+                    "comment": "ViewObj: for full hom space of linear mappings",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsGeneralMapping)",
+                            "IsFreeLeftModule",
+                            "IsFullHomModule",
+                            "Tester(IsFullHomModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 2006
+                    },
+                    "rank": 10036
+                },
+                {
+                    "comment": "ViewObj: for a Lie matrix in default representation",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 147
+                    },
+                    "rank": 10033
+                },
+                {
+                    "comment": "ViewObj: for full ring Z/nZ",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "CategoryCollections(IsZmodnZObjNonprime)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 828
+                    },
+                    "rank": 10023
+                },
+                {
+                    "comment": "ViewObj: for zero mapping",
+                    "filters": [
+                        [
+                            "IsZero",
+                            "Tester(IsZero)",
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1625
+                    },
+                    "rank": 10017
+                },
+                {
+                    "comment": "ViewObj: for identity mapping",
+                    "filters": [
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1344
+                    },
+                    "rank": 10017
+                },
+                {
+                    "comment": "ViewObj: for a canonical basis",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsCanonicalBasis",
+                            "Tester(IsCanonicalBasis)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 303
+                    },
+                    "rank": 10009
+                },
+                {
+                    "comment": "ViewObj: for an object with name",
+                    "filters": [
+                        [
+                            "Tester(Name)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 399
+                    },
+                    "rank": 10001
+                },
+                {
+                    "comment": "ViewObj",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/teaching.g",
+                        "line": 774
+                    },
+                    "rank": 10000
+                },
+                {
+                    "comment": "ViewObj: for a field of FFEs",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 661
+                    },
+                    "rank": 429
+                },
+                {
+                    "comment": "ViewObj: subgroup by property",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(ElementTestFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4292
+                    },
+                    "rank": 136
+                },
+                {
+                    "comment": "ViewObj: for a two-sided ideal with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfTwoSidedIdeal)",
+                            "Tester(LeftActingRingOfIdeal)",
+                            "Tester(RightActingRingOfIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 394
+                    },
+                    "rank": 129
+                },
+                {
+                    "comment": "ViewObj: for a right ideal with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRightIdeal)",
+                            "Tester(RightActingRingOfIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 377
+                    },
+                    "rank": 128
+                },
+                {
+                    "comment": "ViewObj: for a left ideal with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfLeftIdeal)",
+                            "Tester(LeftActingRingOfIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 361
+                    },
+                    "rank": 128
+                },
+                {
+                    "comment": "ViewObj: for a restricted mapping",
+                    "filters": [
+                        [
+                            "IsGeneralRestrictedMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1924
+                    },
+                    "rank": 110
+                },
+                {
+                    "comment": "ViewObj: for a composition mapping",
+                    "filters": [
+                        [
+                            "IsCompositionMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 465
+                    },
+                    "rank": 110
+                },
+                {
+                    "comment": "ViewObj: for an inverse mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInverseGeneralMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1100
+                    },
+                    "rank": 109
+                },
+                {
+                    "comment": "ViewObj: objects with memory",
+                    "filters": [
+                        [
+                            "IsObjWithMemory"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 167
+                    },
+                    "rank": 107
+                },
+                {
+                    "comment": "ViewObj: straight line program elements",
+                    "filters": [
+                        [
+                            "IsStraightLineProgElm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1009
+                    },
+                    "rank": 107
+                },
+                {
+                    "comment": "ViewObj: for cyclotomic field of cyclotomics",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsCyclotomicField",
+                            "Tester(IsCyclotomicField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 301
+                    },
+                    "rank": 67
+                },
+                {
+                    "comment": "ViewObj: for abelian number field of cyclotomics",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 289
+                    },
+                    "rank": 65
+                },
+                {
+                    "comment": "ViewObj: for natural symmetric group",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1759
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "ViewObj: for natural alternating group",
+                    "filters": [
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1751
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "ViewObj: for function field",
+                    "filters": [
+                        [
+                            "IsFunctionField"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 762
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "ViewObj: for a polynomial ring",
+                    "filters": [
+                        [
+                            "IsPolynomialRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 337
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "ViewObj: for algebraic extension",
+                    "filters": [
+                        [
+                            "IsNumberField",
+                            "Tester(IsNumberField)",
+                            "IsAlgebraicExtension"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 249
+                    },
+                    "rank": 57
+                },
+                {
+                    "comment": "ViewObj: for full matrix module",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsFullMatrixModule",
+                            "Tester(IsFullMatrixModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modulmat.gi",
+                        "line": 232
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "ViewObj: for full row module",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsFullRowModule",
+                            "Tester(IsFullRowModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modulrow.gi",
+                        "line": 160
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "ViewObj: fp group",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 4956
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "ViewObj: for a matrix group with stored generators",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagmaWithInverses)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpmat.gi",
+                        "line": 691
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "ViewObj: for a matrix group",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpmat.gi",
+                        "line": 713
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "ViewObj: subgroup of free group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfree.gi",
+                        "line": 599
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ViewObj: for GF2 matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsGF2MatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 694
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ViewObj: for a Lie algebra with known dimension",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)",
+                            "Tester(Dimension)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2109
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ViewObj: pc group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 2265
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "ViewObj: for a Lie algebra with known generators",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)",
+                            "Tester(GeneratorsOfLeftOperatorRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2117
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "ViewObj: for a Lie algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2101
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "ViewObj: for an algebra-with-one with known dimension",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(Dimension)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2054
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "ViewObj: for an algebra-with-one with known generators",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfLeftOperatorRingWithOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2062
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "ViewObj: for an algebra-with-one",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2046
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "ViewObj: for a FLMLOR-with-one with known dimension",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "Tester(Dimension)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1941
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "ViewObj: for an algebra with known dimension",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(Dimension)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1998
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "ViewObj: for a FLMLOR-with-one with known generators",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "Tester(GeneratorsOfLeftOperatorRingWithOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1951
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "ViewObj: for an algebra with known generators",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfLeftOperatorRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2006
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "ViewObj: for a FLMLOR-with-one",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1933
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "ViewObj: for an algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1990
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "ViewObj: for a FLMLOR with known dimension",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "Tester(Dimension)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1885
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "ViewObj: for a character",
+                    "filters": [
+                        [
+                            "IsClassFunction",
+                            "IsCharacter",
+                            "Tester(IsCharacter)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 1120
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "ViewObj: for a FLMLOR with known generators",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "Tester(GeneratorsOfLeftOperatorRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1894
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "ViewObj: for a group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4005
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "ViewObj: for a FLMLOR",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1877
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "ViewObj: for an ordinary block matrix",
+                    "filters": [
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 628
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "ViewObj: for a virtual character",
+                    "filters": [
+                        [
+                            "IsClassFunction",
+                            "IsVirtualCharacter",
+                            "Tester(IsVirtualCharacter)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 1109
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "ViewObj: for a semigroup Congruence with known generating pairs",
+                    "filters": [
+                        [
+                            "Tester(GeneratingPairsOfMagmaCongruence)",
+                            "IsSemigroupCongruence",
+                            "Tester(IsSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gi",
+                        "line": 335
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "ViewObj: for a semigroup congruence",
+                    "filters": [
+                        [
+                            "IsSemigroupCongruence",
+                            "Tester(IsSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gi",
+                        "line": 325
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "ViewObj: for ranges",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsRange",
+                            "IsFinite",
+                            "Tester(IsFinite)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 3678
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "ViewObj: for a class function",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 1098
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "ViewObj: for null map matrix",
+                    "filters": [
+                        [
+                            "IsNullMapMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 331
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "ViewObj: for a ring-with-one with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRingWithOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 97
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "ViewObj: for an alg. hom. from f. p. algebra",
+                    "filters": [
+                        [
+                            "IsAlgebraHomomorphismFromFpRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 963
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "ViewObj: for an operation algebra homomorphism",
+                    "filters": [
+                        [
+                            "IsOperationAlgebraHomomorphismDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 762
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "ViewObj: for a ring-with-one",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 88
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "ViewObj: for a RightSemigroupCongruence with generators",
+                    "filters": [
+                        [
+                            "Tester(GeneratingPairsOfMagmaCongruence)",
+                            "IsRightSemigroupCongruence",
+                            "Tester(IsRightSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gi",
+                        "line": 315
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "ViewObj: for a LeftSemigroupCongruence with known generating pairs",
+                    "filters": [
+                        [
+                            "Tester(GeneratingPairsOfMagmaCongruence)",
+                            "IsLeftSemigroupCongruence",
+                            "Tester(IsLeftSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gi",
+                        "line": 295
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "ViewObj: For a compressed MatFFE",
+                    "filters": [
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "Is8BitMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mat8bit.gi",
+                        "line": 132
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "ViewObj: for an empty row vector",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsEmptyRowVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rvecempt.gi",
+                        "line": 48
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "ViewObj: for algebra module",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsAlgebraModule",
+                            "Tester(IsAlgebraModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 77
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "ViewObj: for vector space with known dimension",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(Dimension)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gi",
+                        "line": 194
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "ViewObj: for a ring with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 75
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "ViewObj: for a magma congruence with generating pairs",
+                    "filters": [
+                        [
+                            "IsMagmaCongruence",
+                            "Tester(GeneratingPairsOfMagmaCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 147
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "ViewObj: for a RightMagmaCongruence with generators",
+                    "filters": [
+                        [
+                            "IsRightMagmaCongruence",
+                            "Tester(GeneratingPairsOfMagmaCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 127
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "ViewObj: for a LeftMagmaCongruence with known generating pairs",
+                    "filters": [
+                        [
+                            "IsLeftMagmaCongruence",
+                            "Tester(GeneratingPairsOfMagmaCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 107
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "ViewObj: for an enumerator that perhaps has its own `ViewObj' function",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsDenseList",
+                            "IsDuplicateFree",
+                            "Tester(IsDuplicateFree)",
+                            "IsEnumeratorByFunctionsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 527
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "ViewObj: for vector space with known generators",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfLeftOperatorAdditiveGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gi",
+                        "line": 185
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "ViewObj: for a ring",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 66
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "ViewObj: for a magma congruence",
+                    "filters": [
+                        [
+                            "IsMagmaCongruence"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 137
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "ViewObj: for a fp monoid with generators",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagmaWithOne",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsElementOfFpMonoid)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpmon.gi",
+                        "line": 231
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "ViewObj: for a free monoid containing the whole family",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections((IsWord and IsAssociativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/monofree.gi",
+                        "line": 290
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "ViewObj: for an algebra g.m.b.i",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 218
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "ViewObj: for vector space",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gi",
+                        "line": 201
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "ViewObj: pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPcgsDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 141
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "ViewObj: For a compressed VecFFE",
+                    "filters": [
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 150
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "ViewObj: for free left module with known generators",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "Tester(GeneratorsOfLeftOperatorAdditiveGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modfree.gi",
+                        "line": 508
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "ViewObj: for free left module with known dimension",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "Tester(Dimension)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modfree.gi",
+                        "line": 500
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "ViewObj: for a RightSemigrouCongruence",
+                    "filters": [
+                        [
+                            "IsRightSemigroupCongruence",
+                            "Tester(IsRightSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gi",
+                        "line": 305
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "ViewObj: for a LeftSemigroupCongruence",
+                    "filters": [
+                        [
+                            "IsLeftSemigroupCongruence",
+                            "Tester(IsLeftSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gi",
+                        "line": 285
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "ViewObj: for GreensHRelation",
+                    "filters": [
+                        [
+                            "IsGreensHRelation"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 218
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ViewObj: for GreensDRelation",
+                    "filters": [
+                        [
+                            "IsGreensDRelation"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 211
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ViewObj: for GreensJRelation",
+                    "filters": [
+                        [
+                            "IsGreensJRelation"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 204
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ViewObj: for embedding into wreath product",
+                    "filters": [
+                        [
+                            "IsEmbeddingWreathProductPermGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 772
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ViewObj: for projection from subdirect product",
+                    "filters": [
+                        [
+                            "IsProjectionSubdirectProductPermGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 519
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ViewObj: for projection from a direct product",
+                    "filters": [
+                        [
+                            "IsProjectionDirectProductPermGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 328
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ViewObj: for embedding into direct product",
+                    "filters": [
+                        [
+                            "IsEmbeddingDirectProductPermGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 211
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ViewObj: for nat. hom. of pc group",
+                    "filters": [
+                        [
+                            "IsNaturalHomomorphismPcGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghompcgs.gi",
+                        "line": 580
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ViewObj: for conjugator isomorphism",
+                    "filters": [
+                        [
+                            "IsConjugatorIsomorphism",
+                            "Tester(IsConjugatorIsomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 1230
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ViewObj: for an ring g.m.b.i",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsRingGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 107
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ViewObj: for a left module m.b.m.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearMappingByMatrixDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1256
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ViewObj: for a left module g.m.b.i",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 521
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ViewObj: for free left module",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modfree.gi",
+                        "line": 515
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ViewObj: for a zero group",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsMagmaWithZeroAdjoined"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmadj.gi",
+                        "line": 199
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ViewObj: for an iterator that perhaps has its own `ViewObj' function",
+                    "filters": [
+                        [
+                            "IsIterator",
+                            "IsIteratorByFunctionsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 1028
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ViewObj: for a Brauer table",
+                    "filters": [
+                        [
+                            "IsBrauerTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 4435
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "ViewObj: for an ordinary table",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 4420
+                    },
+                    "rank": 22
+                },
+                {
+                    "aka": [
+                        "VPActionHom"
+                    ],
+                    "comment": "ViewObj: for action homomorphism",
+                    "filters": [
+                        [
+                            "IsActionHomomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 798
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "ViewObj: for GF2 vector",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 237
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "ViewObj: for a RightMagmaCongruence",
+                    "filters": [
+                        [
+                            "IsRightMagmaCongruence"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 117
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "ViewObj: for a LeftMagmaCongruence",
+                    "filters": [
+                        [
+                            "IsLeftMagmaCongruence"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 97
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "ViewObj: for a free semigroup with generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsFreeSemigroup",
+                            "Tester(IsFreeSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpsemi.gi",
+                        "line": 299
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "ViewObj: combinatorial collector rep (32 Bits, up to date)",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is32BitsSingleCollectorRep",
+                            "IsCombinatorialCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspccoc.gi",
+                        "line": 464
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "ViewObj: combinatorial collector rep (16 Bits, up to date)",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is16BitsSingleCollectorRep",
+                            "IsCombinatorialCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspccoc.gi",
+                        "line": 437
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "ViewObj: combinatorial collector rep (8 Bits, up to date)",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is8BitsSingleCollectorRep",
+                            "IsCombinatorialCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspccoc.gi",
+                        "line": 410
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "ViewObj",
+                    "filters": [
+                        [
+                            "IsUnicodeCharacter"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/UnicodeTools.gi",
+                        "line": 461
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "ViewObj: for a Rees 0-matrix semigroup",
+                    "filters": [
+                        [
+                            "IsReesZeroMatrixSemigroup",
+                            "Tester(IsReesZeroMatrixSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 385
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "ViewObj: for a Rees matrix semigroup",
+                    "filters": [
+                        [
+                            "IsReesMatrixSemigroup",
+                            "Tester(IsReesMatrixSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 352
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "ViewObj: for a fp semigroup with generators",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsElementOfFpSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpsemi.gi",
+                        "line": 310
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "ViewObj: combinatorial collector rep (32 Bits)",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "Is32BitsSingleCollectorRep",
+                            "IsCombinatorialCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspccoc.gi",
+                        "line": 450
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "ViewObj: combinatorial collector rep (16 Bits)",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "Is16BitsSingleCollectorRep",
+                            "IsCombinatorialCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspccoc.gi",
+                        "line": 423
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "ViewObj: combinatorial collector rep (8 Bits)",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "Is8BitsSingleCollectorRep",
+                            "IsCombinatorialCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspccoc.gi",
+                        "line": 396
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "ViewObj: combinatorial collector rep (up to date)",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "IsCombinatorialCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspccoc.gi",
+                        "line": 383
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "ViewObj",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is32BitsSingleCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcsng.gi",
+                        "line": 1351
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "ViewObj",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is16BitsSingleCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcsng.gi",
+                        "line": 1327
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "ViewObj",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is8BitsSingleCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcsng.gi",
+                        "line": 1303
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "ViewObj: for a free semigroup containing the whole family",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections((IsWord and IsAssociativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/smgrpfre.gi",
+                        "line": 479
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "ViewObj: combinatorial collector rep",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsCombinatorialCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspccoc.gi",
+                        "line": 370
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "ViewObj",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "Is32BitsSingleCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcsng.gi",
+                        "line": 1339
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "ViewObj",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "Is16BitsSingleCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcsng.gi",
+                        "line": 1315
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "ViewObj",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "Is8BitsSingleCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcsng.gi",
+                        "line": 1291
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "ViewObj",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "IsSingleCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcsng.gi",
+                        "line": 1279
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "ViewObj: for mapping by function with inverse",
+                    "filters": [
+                        [
+                            "IsMappingByFunctionWithInverseRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 818
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "ViewObj",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsSingleCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcsng.gi",
+                        "line": 1267
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "ViewObj: for a semigroup ideal with known generators",
+                    "filters": [
+                        [
+                            "IsLeftActedOnBySuperset",
+                            "IsRightActedOnBySuperset",
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagmaIdeal)",
+                            "IsSemigroupIdeal",
+                            "Tester(IsSemigroupIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/smgideal.gi",
+                        "line": 445
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "ViewObj: empty strings",
+                    "filters": [
+                        [
+                            "IsString",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/string.gi",
+                        "line": 460
+                    },
+                    "rank": 18
+                },
+                {
+                    "aka": [
+                        "PRINT_OBJ",
+                        "PrintObj"
+                    ],
+                    "comment": "ViewObj: for a subsemigroup of a Rees 0-matrix semigroup",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsReesZeroMatrixSemigroupElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/read1.g",
+                        "line": 15
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "ViewObj: for a subsemigroup of a Rees matrix semigroup",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsReesMatrixSemigroupElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/read1.g",
+                        "line": 15
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "ViewObj: for semigroup homomorphism by images",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSPGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "IsSemigroupHomomorphismByImagesRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 1323
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "ViewObj: for GHBI",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 881
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "ViewObj: for a free magma-with-one containing the whole family",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagmaWithOne",
+                            "CategoryCollections(IsWord)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmfree.gi",
+                        "line": 436
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "ViewObj: For large finite field elements",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 300
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "ViewObj: for an add. magma-with-inverses with generators",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfNearAdditiveGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 98
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "ViewObj: for a semigroup ideal",
+                    "filters": [
+                        [
+                            "IsLeftActedOnBySuperset",
+                            "IsRightActedOnBySuperset",
+                            "IsMagma",
+                            "IsSemigroupIdeal",
+                            "Tester(IsSemigroupIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/smgideal.gi",
+                        "line": 437
+                    },
+                    "rank": 17
+                },
+                {
+                    "aka": [
+                        "ViewMolienSeries"
+                    ],
+                    "comment": "ViewObj: for a Molien series",
+                    "filters": [
+                        [
+                            "IsRationalFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)",
+                            "Tester(MolienSeriesInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmoli.gi",
+                        "line": 667
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "ViewObj: for a quotient semigroup with generators",
+                    "filters": [
+                        [
+                            "IsQuotientSemigroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semiquo.gi",
+                        "line": 97
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "ViewObj: RightCoset",
+                    "filters": [
+                        [
+                            "IsRightCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 432
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "ViewObj: for a MagmaIdeal with generators",
+                    "filters": [
+                        [
+                            "IsLeftActedOnBySuperset",
+                            "IsRightActedOnBySuperset",
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagmaIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gi",
+                        "line": 138
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "ViewObj: for a plist matrix",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1249
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "ViewObj: for an add. magma-with-zero with generators",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveMagmaWithZero",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfNearAdditiveMagmaWithZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 85
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "ViewObj: for a MagmaIdeal",
+                    "filters": [
+                        [
+                            "IsLeftActedOnBySuperset",
+                            "IsRightActedOnBySuperset",
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gi",
+                        "line": 129
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "ViewObj: for a direct product element",
+                    "filters": [
+                        [
+                            "IsDirectProductElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 174
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "ViewObj",
+                    "filters": [
+                        [
+                            "IsPowerConjugateCollector",
+                            "IsDeepThoughtCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwsdt.gi",
+                        "line": 381
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "ViewObj: for a free magma containing the whole family",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagma",
+                            "CategoryCollections(IsWord)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmfree.gi",
+                        "line": 418
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "ViewObj: for a RightMagmaIdeal with generators",
+                    "filters": [
+                        [
+                            "IsRightActedOnBySuperset",
+                            "Tester(GeneratorsOfExtRSet)",
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gi",
+                        "line": 118
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "ViewObj: for a LeftMagmaIdeal with generators",
+                    "filters": [
+                        [
+                            "IsLeftActedOnBySuperset",
+                            "Tester(GeneratorsOfExtLSet)",
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gi",
+                        "line": 98
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+                        [
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 786
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+                    "filters": [
+                        [
+                            "IsFloat"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 439
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+                {
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+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfNearAdditiveMagma)"
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+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 72
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+                {
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+                    "filters": [
+                        [
+                            "IsRightActedOnBySuperset",
+                            "IsMagma"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gi",
+                        "line": 109
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+                {
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+                    "filters": [
+                        [
+                            "IsLeftActedOnBySuperset",
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gi",
+                        "line": 89
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+                {
+                    "comment": "ViewObj",
+                    "filters": [
+                        [
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcclt.gi",
+                        "line": 365
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+                {
+                    "comment": "ViewObj",
+                    "filters": [
+                        [
+                            "IsPowerConjugateCollector"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcclt.gi",
+                        "line": 357
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+                {
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+                    "filters": [
+                        [
+                            "IsAdditiveCoset"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addcoset.gi",
+                        "line": 282
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+                {
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+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
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+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
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+                        [
+                            "IsConjugacyClassGroupRep"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 191
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+                {
+                    "comment": "ViewObj",
+                    "filters": [
+                        [
+                            "IsPolycyclicCollector"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcclt.gi",
+                        "line": 349
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+                {
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+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 144
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+                {
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+                        [
+                            "IsExternalOrbit"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
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+                },
+                {
+                    "comment": "ViewObj",
+                    "filters": [
+                        [
+                            "IsRewritingSystem",
+                            "IsBuiltFromGroup",
+                            "Tester(IsBuiltFromGroup)"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rws.gi",
+                        "line": 91
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+                    "rank": 10
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+                {
+                    "comment": "ViewObj: for a semi-echelonized basis with basis vectors",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsSemiEchelonized",
+                            "Tester(IsSemiEchelonized)",
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+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 285
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+                {
+                    "comment": "ViewObj: method for a weak pointer object",
+                    "filters": [
+                        [
+                            "IsWeakPointerObject"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wpobj.gi",
+                        "line": 146
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+                {
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+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
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+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 55
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+                {
+                    "comment": "ViewObj: sliced perm",
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+                        [
+                            "IsSlicedPermInv"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbcbckt.gi",
+                        "line": 137
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+                {
+                    "comment": "ViewObj: sliced perm",
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+                        [
+                            "IsSlicedPerm"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbcbckt.gi",
+                        "line": 114
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+                {
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+                        [
+                            "IsExternalSubset"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 236
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+                },
+                {
+                    "comment": "ViewObj: for a semi-echelonized basis",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsSemiEchelonized",
+                            "Tester(IsSemiEchelonized)"
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+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 294
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+                    "rank": 9
+                },
+                {
+                    "comment": "ViewObj: for right transversal",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsRightTransversalRep"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2534
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+                {
+                    "comment": "ViewObj: IsString",
+                    "filters": [
+                        [
+                            "IsString",
+                            "IsFinite",
+                            "Tester(IsFinite)"
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+                        "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/UnicodeTools.gi",
+                        "line": 1180
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+                {
+                    "comment": "ViewObj: for a basis with basis vectors",
+                    "filters": [
+                        [
+                            "IsBasis",
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 265
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+                    "rank": 8
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+                {
+                    "comment": "ViewObj: IsString",
+                    "filters": [
+                        [
+                            "IsString",
+                            "IsFinite",
+                            "Tester(IsFinite)"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/string.gi",
+                        "line": 451
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+                    "rank": 8
+                },
+                {
+                    "comment": "ViewObj: for a permutation",
+                    "filters": [
+                        [
+                            "IsPerm"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/permutat.g",
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+                {
+                    "comment": "ViewObj",
+                    "filters": [
+                        [
+                            "IsUnicodeString"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/UnicodeTools.gi",
+                        "line": 582
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+                    "rank": 7
+                },
+                {
+                    "comment": "ViewObj: for sparse hash tables",
+                    "filters": [
+                        [
+                            "IsSparseHashRep"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 631
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+                    "rank": 7
+                },
+                {
+                    "comment": "ViewObj: for dense hash tables",
+                    "filters": [
+                        [
+                            "IsDenseHashRep"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 472
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+                    "rank": 7
+                },
+                {
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+                        [
+                            "IsBasis"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 274
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+                    "rank": 7
+                },
+                {
+                    "comment": "ViewObj: for finite lists",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsFinite",
+                            "Tester(IsFinite)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 3659
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "ViewObj",
+                    "filters": [
+                        [
+                            "IsMonoidByAdjoiningIdentityElt"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/adjoin.gi",
+                        "line": 174
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+                    "rank": 6
+                },
+                {
+                    "comment": "ViewObj: External Set",
+                    "filters": [
+                        [
+                            "IsExternalSet"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 170
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+                    "rank": 6
+                },
+                {
+                    "comment": "ViewObj: iostream",
+                    "filters": [
+                        [
+                            "IsInputOutputStream",
+                            "IsInputOutputStreamByPtyRep"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/streams.gi",
+                        "line": 1421
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "ViewObj: for a Knuth Bendix rewriting system",
+                    "filters": [
+                        [
+                            "IsBuiltFromSemigroup",
+                            "Tester(IsBuiltFromSemigroup)",
+                            "IsKnuthBendixRewritingSystem"
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+                        "file": "/home/makx/ac/gap/lib/kbsemi.gi",
+                        "line": 770
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+                    "rank": 5
+                },
+                {
+                    "comment": "ViewObj: for a Knuth Bendix rewriting system",
+                    "filters": [
+                        [
+                            "IsBuiltFromMonoid",
+                            "Tester(IsBuiltFromMonoid)",
+                            "IsKnuthBendixRewritingSystem"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/kbsemi.gi",
+                        "line": 761
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsAdditiveElementAsMultiplicativeElementRep"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 751
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+                    "rank": 5
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+                {
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+                    "filters": [
+                        [
+                            "IsWorkerFarmByFork"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/io-4.4.4/gap/background.gi",
+                        "line": 557
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+                {
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+                    "filters": [
+                        [
+                            "IsBackgroundJobByFork"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/io-4.4.4/gap/background.gi",
+                        "line": 216
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsRewritingSystem",
+                            "IsBuiltFromMonoid",
+                            "Tester(IsBuiltFromMonoid)"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwssmg.gi",
+                        "line": 249
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+                    "rank": 4
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsRewritingSystem",
+                            "IsBuiltFromSemigroup",
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwssmg.gi",
+                        "line": 240
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsList",
+                            "IsInfiniteListOfGeneratorsRep"
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+                        "line": 1210
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+                {
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+                    "filters": [
+                        [
+                            "IsList",
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 1095
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+                    "location": {
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+                        "line": 88
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+                        [
+                            "IsLatticeSubgroupsRep"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grplatt.gi",
+                        "line": 1240
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+                {
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+                            "IsDictionary"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 411
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+                    "rank": 3
+                },
+                {
+                    "comment": "ViewObj: p-quotient system",
+                    "filters": [
+                        [
+                            "IsPQuotientSystem",
+                            "Tester(IsPQuotientSystem)"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pquot.gi",
+                        "line": 1777
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+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisOfGaussianMatrixSpaceRep"
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+                        "file": "/home/makx/ac/gap/lib/vspcmat.gi",
+                        "line": 968
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+                {
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+                    "filters": [
+                        [
+                            "IsMutableBasis",
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 1484
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+                    "rank": 3
+                },
+                {
+                    "comment": "ViewObj: for mutable basis represented by a nice mutable basis",
+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisViaNiceMutableBasisRep"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basismut.gi",
+                        "line": 334
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+                    "rank": 3
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+                {
+                    "comment": "ViewObj: for mutable basis represented by an immutable basis",
+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisByImmutableBasisRep"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basismut.gi",
+                        "line": 157
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+                        [
+                            "IO_Result"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/io-4.4.4/gap/io.gi",
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rws.gi",
+                        "line": 81
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 2448
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+                {
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+                            "IsDirectoryRep"
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+                    "location": {
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+                    "location": {
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+                {
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+                    "filters": [
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+                            "IsFile"
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+                    "location": {
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+                {
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+                    "filters": [
+                        [
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+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/PrintUtil.gi",
+                        "line": 202
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+                    "rank": 1
+                },
+                {
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+                    "filters": [
+                        [
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 606
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+                    "rank": 1
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+                {
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+                    "filters": [
+                        [
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 1012
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+                    "rank": 1
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+                {
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+                    "filters": [
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+                            "IsOrdering"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 38
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+                    "rank": 1
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+                {
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+                    "filters": [
+                        [
+                            "IsRecord"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbc.gi",
+                        "line": 1840
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+                    "rank": 1
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+                {
+                    "comment": "ViewObj: IsChar",
+                    "filters": [
+                        [
+                            "IsChar"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/string.gi",
+                        "line": 434
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+                    "rank": 1
+                },
+                {
+                    "comment": "ViewObj: default method trying ViewString",
+                    "filters": [
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 426
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+                    "rank": 1
+                },
+                {
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+                    "filters": [
+                        [
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+                    "filters": [
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+                            "IsGroupAsSemigroup",
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
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+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
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+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 447
+                    },
+                    "rank": 1
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ViewString",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "NAME_FUNC",
+            "NameFunction"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/function.g",
+                "line": 160
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NameFunction",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SET_NAME_FUNC",
+            "SetNameFunction"
+        ],
+        "filters": [
+            [
+                [],
+                [
+                    "IsString"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/function.g",
+                "line": 180
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SetNameFunction",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "NARG_FUNC",
+            "NumberArgumentsFunction"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/function.g",
+                "line": 214
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NumberArgumentsFunction",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CALL_FUNC_LIST",
+            "CallFuncList"
+        ],
+        "filters": [
+            [
+                [],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/function.g",
+                "line": 384
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CallFuncList",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "=",
+            "EQ"
+        ],
+        "filters": [
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 142
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "=: for two lists, the second being empty",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 138
+                    },
+                    "rank": 10019
+                },
+                {
+                    "comment": "=: for two lists, the first being empty",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 129
+                    },
+                    "rank": 10019
+                },
+                {
+                    "comment": "=: handled by nice monomorphism: attribute CollColl",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 206
+                    },
+                    "rank": 738
+                },
+                {
+                    "aka": [
+                        "32Bits_Equal"
+                    ],
+                    "comment": "=: for 32 bits pc word rep",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "Is32BitsPcWordRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "Is32BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 643
+                    },
+                    "rank": 222
+                },
+                {
+                    "aka": [
+                        "16Bits_Equal"
+                    ],
+                    "comment": "=: for 16 bits pc word rep",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "Is16BitsPcWordRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "Is16BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 550
+                    },
+                    "rank": 222
+                },
+                {
+                    "aka": [
+                        "8Bits_Equal"
+                    ],
+                    "comment": "=: for 8 bits pc word rep",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "Is8BitsPcWordRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "Is8BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 457
+                    },
+                    "rank": 222
+                },
+                {
+                    "comment": "=: straight line program perms",
+                    "filters": [
+                        [
+                            "IsPerm",
+                            "IsStraightLineProgElm"
+                        ],
+                        [
+                            "IsPerm",
+                            "IsStraightLineProgElm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1870
+                    },
+                    "rank": 220
+                },
+                {
+                    "comment": "=: two objects with memory",
+                    "filters": [
+                        [
+                            "IsObjWithMemory"
+                        ],
+                        [
+                            "IsObjWithMemory"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 262
+                    },
+                    "rank": 214
+                },
+                {
+                    "comment": "=: perm with straight line program element",
+                    "filters": [
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsPerm",
+                            "IsStraightLineProgElm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1838
+                    },
+                    "rank": 118
+                },
+                {
+                    "comment": "=: straight line program element with perm",
+                    "filters": [
+                        [
+                            "IsPerm",
+                            "IsStraightLineProgElm"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1819
+                    },
+                    "rank": 118
+                },
+                {
+                    "comment": "=: for two abelian number fields",
+                    "filters": [
+                        [
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ],
+                        [
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 395
+                    },
+                    "rank": 118
+                },
+                {
+                    "comment": "=: for two finite fields in the same family",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 99
+                    },
+                    "rank": 116
+                },
+                {
+                    "comment": "=: objects with memory with x",
+                    "filters": [
+                        [
+                            "IsObjWithMemory"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 285
+                    },
+                    "rank": 110
+                },
+                {
+                    "comment": "=: x with straight line program element",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsStraightLineProgElm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1604
+                    },
+                    "rank": 110
+                },
+                {
+                    "comment": "=: straight line program element with x",
+                    "filters": [
+                        [
+                            "IsStraightLineProgElm"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1551
+                    },
+                    "rank": 110
+                },
+                {
+                    "aka": [
+                        "EQ_MAT8BIT_MAT8BIT"
+                    ],
+                    "comment": "=: for two compressed 8 bit matrices",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "CategoryCollections(CategoryCollections(IsFFE))",
+                            "Is8BitMatrixRep"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "CategoryCollections(CategoryCollections(IsFFE))",
+                            "Is8BitMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mat8bit.gi",
+                        "line": 896
+                    },
+                    "rank": 110
+                },
+                {
+                    "comment": "=: for two division rings",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 575
+                    },
+                    "rank": 104
+                },
+                {
+                    "aka": [
+                        "EQ_GF2MAT_GF2MAT"
+                    ],
+                    "comment": "=: for GF2 matrix and GF2 matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsListDefault",
+                            "IsGF2MatrixRep"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsListDefault",
+                            "IsGF2MatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1082
+                    },
+                    "rank": 90
+                },
+                {
+                    "comment": "=: for certain cyclotomic semirings",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.gi",
+                        "line": 2027
+                    },
+                    "rank": 82
+                },
+                {
+                    "comment": "=: subgroups of fp group",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 525
+                    },
+                    "rank": 74
+                },
+                {
+                    "comment": "=: pcgs computable groups using family pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(CanonicalPcgsWrtFamilyPcgs)",
+                            "Tester(FamilyPcgs)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(CanonicalPcgsWrtFamilyPcgs)",
+                            "Tester(FamilyPcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 554
+                    },
+                    "rank": 74
+                },
+                {
+                    "comment": "=: pcgs computable groups using home pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(CanonicalPcgsWrtHomePcgs)",
+                            "Tester(HomePcgs)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(CanonicalPcgsWrtHomePcgs)",
+                            "Tester(HomePcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 534
+                    },
+                    "rank": 74
+                },
+                {
+                    "comment": "=: generic method for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 3120
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "=: for two ordinary block matrices",
+                    "filters": [
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ],
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 275
+                    },
+                    "rank": 68
+                },
+                {
+                    "comment": "=: for two class functions",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ],
+                        [
+                            "IsClassFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 132
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "=: for two rings with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRing)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 1460
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "=: for two ANF automorphisms",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ],
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 1870
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "=: for two Frobenius automorphisms",
+                    "filters": [
+                        [
+                            "IsFrobeniusAutomorphism"
+                        ],
+                        [
+                            "IsFrobeniusAutomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 704
+                    },
+                    "rank": 52
+                },
+                {
+                    "aka": [
+                        "EQ_VEC8BIT_VEC8BIT"
+                    ],
+                    "comment": "=: For 2 8 bit vectors",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 484
+                    },
+                    "rank": 50
+                },
+                {
+                    "comment": "=: pc group homomorphisms",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsPcGroupGeneralMappingByImages"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsPcGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghompcgs.gi",
+                        "line": 638
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "=: for two field homomorphisms",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)"
+                        ],
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 1283
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "=: for two free left modules (at least one fin. dim.)",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modfree.gi",
+                        "line": 43
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "=: method for two s.v. gen. mappings that is a field homomorphism",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1192
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "=: for GreensRelation",
+                    "filters": [
+                        [
+                            "IsGreensRelation"
+                        ],
+                        [
+                            "IsGreensRelation"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 237
+                    },
+                    "rank": 44
+                },
+                {
+                    "aka": [
+                        "EQ_GF2VEC_GF2VEC"
+                    ],
+                    "comment": "=: for GF2 vectors",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 327
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "=: for an inverse semigroups with generators",
+                    "filters": [
+                        [
+                            "IsInverseSemigroup",
+                            "Tester(IsInverseSemigroup)",
+                            "Tester(GeneratorsOfInverseSemigroup)"
+                        ],
+                        [
+                            "IsInverseSemigroup",
+                            "Tester(IsInverseSemigroup)",
+                            "Tester(GeneratorsOfInverseSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/invsgp.gi",
+                        "line": 359
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "=: for ANF automorphism and identity mapping",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ],
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 1890
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "=: for identity mapping and ANF automorphism",
+                    "filters": [
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ],
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 1880
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "=: for Frobenius automorphism and identity mapping",
+                    "filters": [
+                        [
+                            "IsFrobeniusAutomorphism"
+                        ],
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 720
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "=: for identity mapping and Frobenius automorphism",
+                    "filters": [
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ],
+                        [
+                            "IsFrobeniusAutomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 712
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "=: for eqivalence relations",
+                    "filters": [
+                        [
+                            "IsEquivalenceRelation",
+                            "Tester(IsEquivalenceRelation)"
+                        ],
+                        [
+                            "IsEquivalenceRelation",
+                            "Tester(IsEquivalenceRelation)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1855
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "=: method for two s.v. gen. mappings that respect add.,add.inv.,mult.,one,scal. mult.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsOne",
+                            "Tester(RespectsOne)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsOne",
+                            "Tester(RespectsOne)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1182
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "=",
+                    "filters": [
+                        [
+                            "IsUnicodeCharacter"
+                        ],
+                        [
+                            "IsUnicodeCharacter"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/UnicodeTools.gi",
+                        "line": 469
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "=: for two underlying relations of general mappings",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain",
+                            "CategoryCollections(IsDirectProductElement)",
+                            "Tester(UnderlyingGeneralMapping)"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain",
+                            "CategoryCollections(IsDirectProductElement)",
+                            "Tester(UnderlyingGeneralMapping)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1398
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "=: homomorphism by images with homomorphism: compare generator images",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)",
+                            "IsGroupGeneralMappingByImages"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 580
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "=: homomorphism with general mapping: test b=a",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)",
+                            "IsGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 589
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "=: for ring ring general mapping and ring g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "IsRingGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 340
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "=: for ring g.m.b.i. and ring general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "IsRingGeneralMappingByImagesDefaultRep"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 323
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "=: method for two s.v. gen. mappings that respect add.,add.inv.,mult.,scal. mult.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1171
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "=: method for two s.v. gen. mappings that respect mult.,one,add.,add.inv.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsOne",
+                            "Tester(RespectsOne)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsOne",
+                            "Tester(RespectsOne)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1149
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "=: for two unknowns in default representation",
+                    "filters": [
+                        [
+                            "IsUnknown",
+                            "IsUnknownDefaultRep"
+                        ],
+                        [
+                            "IsUnknown",
+                            "IsUnknownDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/unknown.gi",
+                        "line": 111
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "=: for internal FFE and element in Z/pZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 180
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "=: for element in Z/pZ (ModulusRep) and internal FFE",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 172
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "=: for semigroup homomorphism by images",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSPGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "IsSemigroupHomomorphismByImagesRep"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsSPGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "IsSemigroupHomomorphismByImagesRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 1386
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "=",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 589
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "=: BFElm=BFElm",
+                    "filters": [
+                        [
+                            "IsAlgBFRep"
+                        ],
+                        [
+                            "IsAlgBFRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 736
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "=: BFElm<AlgElm",
+                    "filters": [
+                        [
+                            "IsAlgBFRep"
+                        ],
+                        [
+                            "IsKroneckerConstRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 731
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "=: AlgElm=BFElm",
+                    "filters": [
+                        [
+                            "IsKroneckerConstRep"
+                        ],
+                        [
+                            "IsAlgBFRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 719
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "=: AlgElm=AlgElm",
+                    "filters": [
+                        [
+                            "IsKroneckerConstRep"
+                        ],
+                        [
+                            "IsKroneckerConstRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 707
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "=: laurent",
+                    "filters": [
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ],
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 804
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "=: method for two s.v. gen. mappings that respect add.,add.inv.,scal. mult.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1160
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "=: method for two s.v. gen. mappings that respect mult.,add.,add.inv.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1138
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "=: for a list and a class function",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsClassFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 154
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "=: for a class function and a list",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 143
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "=: IsTransformationRepOfEndo, IsTransformationRepOfEndo",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsTransformationRepOfEndo"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsTransformationRepOfEndo"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fastendo.gi",
+                        "line": 155
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "=: RightCosets",
+                    "filters": [
+                        [
+                            "IsRightCoset"
+                        ],
+                        [
+                            "IsRightCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 448
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "=",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 618
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "=",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 604
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "=: for two elements in Z/nZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 164
+                    },
+                    "rank": 32
+                },
+                {
+                    "aka": [
+                        "IsProtected",
+                        "IsReadOnly",
+                        "RETURN_FALSE",
+                        "ReturnFalse"
+                    ],
+                    "comment": "=: for cyclotomic and unknown",
+                    "filters": [
+                        [
+                            "IsCyc"
+                        ],
+                        [
+                            "IsUnknown"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 483
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "=: for unknown and cyclotomic",
+                    "filters": [
+                        [
+                            "IsUnknown"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 483
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "=: for semigroup with generators and semigroup with generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 301
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "=: for `-infinity' and cyclotomic",
+                    "filters": [
+                        [
+                            "IsNegInfinity"
+                        ],
+                        [
+                            "IsCyclotomic"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 483
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "=: for cyclotomic and `-infinity'",
+                    "filters": [
+                        [
+                            "IsCyclotomic"
+                        ],
+                        [
+                            "IsNegInfinity"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 483
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "=: for `infinity' and cyclotomic",
+                    "filters": [
+                        [
+                            "IsInfinity"
+                        ],
+                        [
+                            "IsCyclotomic"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 483
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "=: for cyclotomic and `infinity'",
+                    "filters": [
+                        [
+                            "IsCyclotomic"
+                        ],
+                        [
+                            "IsInfinity"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 483
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "=: for two plist matrices",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ],
+                        [
+                            "IsPlistMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1423
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "=: univariate = univariate",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1537
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "=: method for two s.v. gen. mappings that respect add. and add. inv.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1127
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "=: method for two s.v. gen. mappings that respect mult. and inv.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1097
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "=: for two direct product elements",
+                    "filters": [
+                        [
+                            "IsDirectProductElement"
+                        ],
+                        [
+                            "IsDirectProductElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 214
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "=: for a collection, and an empty row vector in the same family",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsEmptyRowVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rvecempt.gi",
+                        "line": 113
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "=: for an empty row vector, and a collection in the same family",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsEmptyRowVectorRep"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rvecempt.gi",
+                        "line": 100
+                    },
+                    "rank": 30
+                },
+                {
+                    "aka": [
+                        "COMPARE_FLOAT_ANY"
+                    ],
+                    "comment": "=: for float and rational",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 988
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "=: for rational and float",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 988
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "=: IsEndoMapping, IsTransformationRepOfEndo",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsTransformationRepOfEndo"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fastendo.gi",
+                        "line": 183
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "=: IsTransformationRepOfEndo, IsEndoMapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsTransformationRepOfEndo"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fastendo.gi",
+                        "line": 169
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "=",
+                    "filters": [
+                        [
+                            "IsPadicExtensionNumber"
+                        ],
+                        [
+                            "IsPadicExtensionNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 1322
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "=",
+                    "filters": [
+                        [
+                            "IsPurePadicNumber"
+                        ],
+                        [
+                            "IsPurePadicNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 709
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "=: polynomial",
+                    "filters": [
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 951
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "=: for additive group and additive coset",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ],
+                        [
+                            "IsAdditiveCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addcoset.gi",
+                        "line": 219
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "=: for additive coset and additive group",
+                    "filters": [
+                        [
+                            "IsAdditiveCoset"
+                        ],
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addcoset.gi",
+                        "line": 205
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "=: classes for perm group",
+                    "filters": [
+                        [
+                            "IsConjugacyClassPermGroupRep"
+                        ],
+                        [
+                            "IsConjugacyClassPermGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clasperm.gi",
+                        "line": 62
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "=: compare source generator images",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 168
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "=: zmodnze : for two elements in Z/nZ(m) (ZmodnZepsRep)",
+                    "filters": [
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ],
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 154
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "=: rational functions",
+                    "filters": [
+                        [
+                            "IsRationalFunction"
+                        ],
+                        [
+                            "IsRationalFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 945
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "=: for s. c. ring elements in dense vector rep.",
+                    "filters": [
+                        [
+                            "IsSCRingObj",
+                            "IsDenseCoeffVectorRep"
+                        ],
+                        [
+                            "IsSCRingObj",
+                            "IsDenseCoeffVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 194
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "=: for two Lie objects in default representation",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 160
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "=: for s. c. algebra elements in dense vector rep.",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj",
+                            "IsDenseCoeffVectorRep"
+                        ],
+                        [
+                            "IsSCAlgebraObj",
+                            "IsDenseCoeffVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 304
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "=: method for two s.v. gen. mappings that respect add. and zero",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsZero",
+                            "Tester(RespectsZero)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsZero",
+                            "Tester(RespectsZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1117
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "=: method for two s.v. gen. mappings that respect mult. and one",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsOne",
+                            "Tester(RespectsOne)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsOne",
+                            "Tester(RespectsOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1087
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "=: for floats",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ],
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 991
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "=: FElm=BFElm",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsAlgBFRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 770
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "=: BFElm=FElm",
+                    "filters": [
+                        [
+                            "IsAlgBFRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 765
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "=: FElm=AlgElm",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsKroneckerConstRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 760
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "=: AlgElm=FElm",
+                    "filters": [
+                        [
+                            "IsKroneckerConstRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 748
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "=",
+                    "filters": [
+                        [
+                            "IsRationalClassPermGroupRep"
+                        ],
+                        [
+                            "IsRationalClassPermGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clasperm.gi",
+                        "line": 148
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "=: xorbs which know their size",
+                    "filters": [
+                        [
+                            "Tester(Size)",
+                            "IsExternalOrbit"
+                        ],
+                        [
+                            "Tester(Size)",
+                            "IsExternalOrbit"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 437
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "=: for two UEALattice elements",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsUEALatticeElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsUEALatticeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 1474
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "=: for two additive cosets",
+                    "filters": [
+                        [
+                            "IsAdditiveCoset"
+                        ],
+                        [
+                            "IsAdditiveCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addcoset.gi",
+                        "line": 176
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "=: for binary relss over [1..n] with images list",
+                    "filters": [
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ],
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1167
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "=",
+                    "filters": [
+                        [
+                            "IsConjugacyClassSubgroupsRep"
+                        ],
+                        [
+                            "IsConjugacyClassSubgroupsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grplatt.gi",
+                        "line": 122
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "=",
+                    "filters": [
+                        [
+                            "IsRationalClassGroupRep"
+                        ],
+                        [
+                            "IsRationalClassGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 495
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "=: xorbs with canonicalRepresentativeDeterminator",
+                    "filters": [
+                        [
+                            "IsExternalOrbit",
+                            "Tester(CanEasilyDetermineCanonicalRepresentativeExternalSet)"
+                        ],
+                        [
+                            "IsExternalOrbit",
+                            "Tester(CanEasilyDetermineCanonicalRepresentativeExternalSet)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 452
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "=: for two plist vectors",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
+                        ],
+                        [
+                            "IsPlistVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 426
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "=: for s. c. algebra elements",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj"
+                        ],
+                        [
+                            "IsSCAlgebraObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 297
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "=: for two normalized f.p. algebra elements",
+                    "filters": [
+                        [
+                            "IsElementOfFpAlgebra",
+                            "IsNormalForm",
+                            "Tester(IsNormalForm)"
+                        ],
+                        [
+                            "IsElementOfFpAlgebra",
+                            "IsNormalForm",
+                            "Tester(IsNormalForm)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 174
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "=: for two free magma ring elements",
+                    "filters": [
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ],
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 274
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "=: method for two s.v. gen. mappings that respect add.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1107
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "=: method for two s.v. gen. mappings that respect mult.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1077
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "=: xorbs",
+                    "filters": [
+                        [
+                            "IsExternalOrbit"
+                        ],
+                        [
+                            "IsExternalOrbit"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 407
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "=: for two weight rep elements",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsWeightRepElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsWeightRepElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 2890
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "=: for two cochains",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsCochain"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsCochain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 323
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "=: for direct sum elements",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsDirectSumElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsDirectSumElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 3321
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "=: for sparse rowspace elements",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsSparseRowSpaceElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsSparseRowSpaceElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 2948
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "=: for monomial elements",
+                    "filters": [
+                        [
+                            "IsMonomialElement",
+                            "IsMonomialElementRep"
+                        ],
+                        [
+                            "IsMonomialElement",
+                            "IsMonomialElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 1479
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "=: for two algebra module elements in packed representation",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsAlgebraModuleElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsAlgebraModuleElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 632
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "=: for two f.p. algebra elements (try nice monomorphism)",
+                    "filters": [
+                        [
+                            "IsElementOfFpAlgebra"
+                        ],
+                        [
+                            "IsElementOfFpAlgebra"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 195
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "=: method for two s.v. gen. mappings",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1067
+                    },
+                    "rank": 18
+                },
+                {
+                    "aka": [
+                        "EQ_LIST_LIST_DEFAULT"
+                    ],
+                    "comment": "=: for two small lists",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsSmallList",
+                            "Tester(IsSmallList)"
+                        ],
+                        [
+                            "IsList",
+                            "IsSmallList",
+                            "Tester(IsSmallList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 75
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "=: for fp monoid elts produced by the Froidure-Pin algorithm",
+                    "filters": [
+                        [
+                            "IsFpMonoidReducedElt",
+                            "Tester(IsFpMonoidReducedElt)"
+                        ],
+                        [
+                            "IsFpMonoidReducedElt",
+                            "Tester(IsFpMonoidReducedElt)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 1422
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "=: DoubleCosets",
+                    "filters": [
+                        [
+                            "IsDoubleCoset"
+                        ],
+                        [
+                            "IsDoubleCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 261
+                    },
+                    "rank": 16
+                },
+                {
+                    "aka": [
+                        "InfBits_Equal"
+                    ],
+                    "comment": "=: for two inf. bits assoc. words",
+                    "filters": [
+                        [
+                            "IsInfBitsAssocWord"
+                        ],
+                        [
+                            "IsInfBitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 738
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "=: for two 32 bits assoc. words",
+                    "filters": [
+                        [
+                            "Is32BitsAssocWord"
+                        ],
+                        [
+                            "Is32BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 643
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "=: for two 16 bits assoc. words",
+                    "filters": [
+                        [
+                            "Is16BitsAssocWord"
+                        ],
+                        [
+                            "Is16BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 550
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "=: for two 8 bits assoc. words",
+                    "filters": [
+                        [
+                            "Is8BitsAssocWord"
+                        ],
+                        [
+                            "Is8BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 457
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "=",
+                    "filters": [
+                        [
+                            "IsUnicodeString"
+                        ],
+                        [
+                            "IsUnicodeString"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/UnicodeTools.gi",
+                        "line": 640
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "=: for fp semigp elts produced by the Froidure-Pin algorithm",
+                    "filters": [
+                        [
+                            "IsFpSemigpReducedElt",
+                            "Tester(IsFpSemigpReducedElt)"
+                        ],
+                        [
+                            "IsFpSemigpReducedElt",
+                            "Tester(IsFpSemigpReducedElt)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 1408
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "=: for Green's classes",
+                    "filters": [
+                        [
+                            "IsGreensClass"
+                        ],
+                        [
+                            "IsGreensClass"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 387
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "=: for two f.p. group elements",
+                    "filters": [
+                        [
+                            "IsElementOfFpGroup"
+                        ],
+                        [
+                            "IsElementOfFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 166
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "=: wreath elements",
+                    "filters": [
+                        [
+                            "IsWreathProductElement"
+                        ],
+                        [
+                            "IsWreathProductElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 955
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "=: for two elements of magma by mult. table",
+                    "filters": [
+                        [
+                            "IsMagmaByMultiplicationTableObj"
+                        ],
+                        [
+                            "IsMagmaByMultiplicationTableObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grptbl.gi",
+                        "line": 51
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "=: for two elements of a magma with zero adjoined",
+                    "filters": [
+                        [
+                            "IsMagmaWithZeroAdjoinedElementRep"
+                        ],
+                        [
+                            "IsMagmaWithZeroAdjoinedElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmadj.gi",
+                        "line": 232
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "=: for two general mappings",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 749
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "=: for two finite lists (not necessarily small)",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsFinite",
+                            "Tester(IsFinite)"
+                        ],
+                        [
+                            "IsList",
+                            "IsFinite",
+                            "Tester(IsFinite)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 120
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "=",
+                    "filters": [
+                        [
+                            "IsMonoidByAdjoiningIdentityElt"
+                        ],
+                        [
+                            "IsMonoidByAdjoiningIdentityElt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/adjoin.gi",
+                        "line": 112
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "=: for two elements of a f.p. monoid",
+                    "filters": [
+                        [
+                            "IsElementOfFpMonoid"
+                        ],
+                        [
+                            "IsElementOfFpMonoid"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpmon.gi",
+                        "line": 93
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "=",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwsgrp.gi",
+                        "line": 262
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "=: assoc words in letter rep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsLetterAssocWordRep"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsLetterAssocWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 298
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "=: for two equivalence classes",
+                    "filters": [
+                        [
+                            "IsEquivalenceClass"
+                        ],
+                        [
+                            "IsEquivalenceClass"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 2160
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "=: for elements of a Rees 0-matrix semigroup",
+                    "filters": [
+                        [
+                            "IsReesZeroMatrixSemigroupElement"
+                        ],
+                        [
+                            "IsReesZeroMatrixSemigroupElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 959
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "=: for elements of a Rees matrix semigroup",
+                    "filters": [
+                        [
+                            "IsReesMatrixSemigroupElement"
+                        ],
+                        [
+                            "IsReesMatrixSemigroupElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 947
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "=: for two Knuth-Bendix rewriting systems",
+                    "filters": [
+                        [
+                            "IsKnuthBendixRewritingSystem",
+                            "IsKnuthBendixRewritingSystemRep"
+                        ],
+                        [
+                            "IsKnuthBendixRewritingSystem",
+                            "IsKnuthBendixRewritingSystemRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/kbsemi.gi",
+                        "line": 807
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "=: for two elements of a f.p. semigroup",
+                    "filters": [
+                        [
+                            "IsElementOfFpSemigroup"
+                        ],
+                        [
+                            "IsElementOfFpSemigroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpsemi.gi",
+                        "line": 103
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "=: for two domains",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/domain.gi",
+                        "line": 56
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "=: for a domain and a list",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ],
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/domain.gi",
+                        "line": 41
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "=: for a list and a domain",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/domain.gi",
+                        "line": 26
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "=: wrapped additive elements",
+                    "filters": [
+                        [
+                            "IsAdditiveElementAsMultiplicativeElementRep"
+                        ],
+                        [
+                            "IsAdditiveElementAsMultiplicativeElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 846
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "=: for two words",
+                    "filters": [
+                        [
+                            "IsWord"
+                        ],
+                        [
+                            "IsWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/word.gi",
+                        "line": 24
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "=: for two lists with length - last resort",
+                    "filters": [
+                        [
+                            "IsList",
+                            "Tester(LENGTH)"
+                        ],
+                        [
+                            "IsList",
+                            "Tester(LENGTH)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 165
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "=: for two IO_Results",
+                    "filters": [
+                        [
+                            "IO_Result"
+                        ],
+                        [
+                            "IO_Result"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/io-4.4.4/gap/io.gi",
+                        "line": 52
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "=: for two lists - last resort",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 201
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "=: for two info classes",
+                    "filters": [
+                        [
+                            "IsInfoClassListRep"
+                        ],
+                        [
+                            "IsInfoClassListRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/info.gi",
+                        "line": 188
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "=: for two IsFile objects",
+                    "filters": [
+                        [
+                            "IsFile"
+                        ],
+                        [
+                            "IsFile"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/io-4.4.4/gap/io.gi",
+                        "line": 178
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "=: for another object and an IO_Result",
+                    "filters": [
+                        [],
+                        [
+                            "IO_Result"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 483
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "=: for an IO_Result and another object",
+                    "filters": [
+                        [
+                            "IO_Result"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 483
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "=: for two directories",
+                    "filters": [
+                        [
+                            "IsDirectory"
+                        ],
+                        [
+                            "IsDirectory"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/files.gi",
+                        "line": 71
+                    },
+                    "rank": 2
+                },
+                {
+                    "aka": [
+                        "IS_IDENTICAL_OBJ",
+                        "IsIdenticalObj"
+                    ],
+                    "comment": "=: for two families: delegate to `IsIdenticalObj'",
+                    "filters": [
+                        [
+                            "IsFamily"
+                        ],
+                        [
+                            "IsFamily"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 35
+                    },
+                    "rank": 2
+                },
+                {
+                    "aka": [
+                        "EQ_PREC"
+                    ],
+                    "comment": "=: record = record",
+                    "filters": [
+                        [
+                            "IsRecord"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/record.g",
+                        "line": 330
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "=:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpramat.gi",
+                        "line": 447
+                    },
+                    "rank": 0
+                },
+                {
+                    "comment": "=: for two objects in different families",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 483
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "=",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "<",
+            "LT"
+        ],
+        "filters": [
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 149
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "aka": [
+                        "32Bits_Less"
+                    ],
+                    "comment": "<: for 32 bits pc word rep",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "Is32BitsPcWordRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "Is32BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 649
+                    },
+                    "rank": 222
+                },
+                {
+                    "aka": [
+                        "16Bits_Less"
+                    ],
+                    "comment": "<: for 16 bits pc word rep",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "Is16BitsPcWordRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "Is16BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 556
+                    },
+                    "rank": 222
+                },
+                {
+                    "aka": [
+                        "8Bits_Less"
+                    ],
+                    "comment": "<: method for 8 bits pc word rep",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "Is8BitsPcWordRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "Is8BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 463
+                    },
+                    "rank": 222
+                },
+                {
+                    "comment": "<: straight line program perms",
+                    "filters": [
+                        [
+                            "IsPerm",
+                            "IsStraightLineProgElm"
+                        ],
+                        [
+                            "IsPerm",
+                            "IsStraightLineProgElm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1895
+                    },
+                    "rank": 220
+                },
+                {
+                    "comment": "<: two objects with memory",
+                    "filters": [
+                        [
+                            "IsObjWithMemory"
+                        ],
+                        [
+                            "IsObjWithMemory"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 279
+                    },
+                    "rank": 214
+                },
+                {
+                    "comment": "<: RightCosets of perm group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsRightCoset"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsRightCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetperm.gi",
+                        "line": 519
+                    },
+                    "rank": 134
+                },
+                {
+                    "comment": "<: for two abelian number fields",
+                    "filters": [
+                        [
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ],
+                        [
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 405
+                    },
+                    "rank": 118
+                },
+                {
+                    "aka": [
+                        "InfBits_Less"
+                    ],
+                    "comment": "<: for two inf. bits assoc. words",
+                    "filters": [
+                        [
+                            "IsInfBitsAssocWord"
+                        ],
+                        [
+                            "IsInfBitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 820
+                    },
+                    "rank": 116
+                },
+                {
+                    "comment": "<: x with objects with memory",
+                    "filters": [
+                        [
+                            "IsObjWithMemory"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 297
+                    },
+                    "rank": 110
+                },
+                {
+                    "comment": "<: objects with memory with x",
+                    "filters": [
+                        [
+                            "IsObjWithMemory"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 291
+                    },
+                    "rank": 110
+                },
+                {
+                    "comment": "<: x with straight line program element",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsStraightLineProgElm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1563
+                    },
+                    "rank": 110
+                },
+                {
+                    "comment": "<: straight line program element with x",
+                    "filters": [
+                        [
+                            "IsStraightLineProgElm"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1557
+                    },
+                    "rank": 110
+                },
+                {
+                    "aka": [
+                        "LT_MAT8BIT_MAT8BIT"
+                    ],
+                    "comment": "<: for two compressed 8 bit matrices",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "CategoryCollections(CategoryCollections(IsFFE))",
+                            "Is8BitMatrixRep"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "CategoryCollections(CategoryCollections(IsFFE))",
+                            "Is8BitMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mat8bit.gi",
+                        "line": 887
+                    },
+                    "rank": 110
+                },
+                {
+                    "aka": [
+                        "LT_GF2MAT_GF2MAT"
+                    ],
+                    "comment": "<: for GF2 matrix and GF2 matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsListDefault",
+                            "IsGF2MatrixRep"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsListDefault",
+                            "IsGF2MatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1069
+                    },
+                    "rank": 90
+                },
+                {
+                    "comment": "<: cgs comparison",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 1724
+                    },
+                    "rank": 86
+                },
+                {
+                    "comment": "<: groups by smallest generating sets",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4698
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "<: for two class functions",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ],
+                        [
+                            "IsClassFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 166
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "<: for two ANF automorphisms",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ],
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 1906
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "<: for two Frobenius automorphisms",
+                    "filters": [
+                        [
+                            "IsFrobeniusAutomorphism"
+                        ],
+                        [
+                            "IsFrobeniusAutomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 888
+                    },
+                    "rank": 52
+                },
+                {
+                    "aka": [
+                        "LT_VEC8BIT_VEC8BIT"
+                    ],
+                    "comment": "<: For 2 8 bit vectors",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 497
+                    },
+                    "rank": 50
+                },
+                {
+                    "comment": "<: for two free left modules",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modfree.gi",
+                        "line": 73
+                    },
+                    "rank": 46
+                },
+                {
+                    "aka": [
+                        "LT_GF2VEC_GF2VEC"
+                    ],
+                    "comment": "<: for GF2 vectors",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 335
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "<: for ANF automorphism and identity mapping",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ],
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 1926
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "<: for identity mapping and ANF automorphism",
+                    "filters": [
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ],
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 1917
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "<: for a Frobenius automorphism, and an identity mapping",
+                    "filters": [
+                        [
+                            "IsFrobeniusAutomorphism"
+                        ],
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 852
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "<: for an identity mapping, and a Frobenius automorphism",
+                    "filters": [
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ],
+                        [
+                            "IsFrobeniusAutomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 816
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "<: for two underlying relations of general mappings",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain",
+                            "CategoryCollections(IsDirectProductElement)",
+                            "Tester(UnderlyingGeneralMapping)"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain",
+                            "CategoryCollections(IsDirectProductElement)",
+                            "Tester(UnderlyingGeneralMapping)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1432
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "<: for transformation semigroups",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsTransformation)",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsTransformation)",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semitran.gi",
+                        "line": 36
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "<: for two elements in Z/pZ (ModulusRep, small)",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsLogOrderedFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsLogOrderedFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 212
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "<: for two elements in Z/pZ (ModulusRep, large)",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsLexOrderedFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsLexOrderedFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 194
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "<",
+                    "filters": [
+                        [
+                            "IsLexOrderedFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ],
+                        [
+                            "IsLexOrderedFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 1077
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "<: for internal FFE and element in Z/pZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsLogOrderedFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 228
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "<: for element in Z/pZ (ModulusRep) and internal FFE",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsLogOrderedFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 220
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "<: for two unknowns in default representation",
+                    "filters": [
+                        [
+                            "IsUnknown",
+                            "IsUnknownDefaultRep"
+                        ],
+                        [
+                            "IsUnknown",
+                            "IsUnknownDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/unknown.gi",
+                        "line": 138
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "<: group homomorphisms: Images of smallest generators",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 607
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "<: for two elements in Z/nZ (ModulusRep, nonprime)",
+                    "filters": [
+                        [
+                            "IsZmodnZObjNonprime",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsZmodnZObjNonprime",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 187
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "<: BFElm<BFElm",
+                    "filters": [
+                        [
+                            "IsAlgBFRep"
+                        ],
+                        [
+                            "IsAlgBFRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 648
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "<: BFElm<AlgElm",
+                    "filters": [
+                        [
+                            "IsAlgBFRep"
+                        ],
+                        [
+                            "IsKroneckerConstRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 643
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "<: AlgElm<BFElm",
+                    "filters": [
+                        [
+                            "IsKroneckerConstRep"
+                        ],
+                        [
+                            "IsAlgBFRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 624
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "<: AlgElm<AlgElm",
+                    "filters": [
+                        [
+                            "IsKroneckerConstRep"
+                        ],
+                        [
+                            "IsKroneckerConstRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 605
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "<: Univariate Polynomials",
+                    "filters": [
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ],
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 868
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "<: for a list and a class function",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 188
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "<: for a class function and a list",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 177
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "<: IsTransformationRepOfEndo, IsTransformationRepOfEndo",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsTransformationRepOfEndo"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsTransformationRepOfEndo"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fastendo.gi",
+                        "line": 197
+                    },
+                    "rank": 32
+                },
+                {
+                    "aka": [
+                        "IsLockable",
+                        "IsShared",
+                        "RETURN_TRUE",
+                        "ReturnTrue"
+                    ],
+                    "comment": "<: for cyclotomic and unknown",
+                    "filters": [
+                        [
+                            "IsCyc"
+                        ],
+                        [
+                            "IsUnknown"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "<: for unknown and cyclotomic",
+                    "filters": [
+                        [
+                            "IsUnknown"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "<: for `-infinity' and cyclotomic",
+                    "filters": [
+                        [
+                            "IsNegInfinity"
+                        ],
+                        [
+                            "IsCyclotomic"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "<: for cyclotomic and `-infinity'",
+                    "filters": [
+                        [
+                            "IsCyclotomic"
+                        ],
+                        [
+                            "IsNegInfinity"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "<: for `infinity' and cyclotomic",
+                    "filters": [
+                        [
+                            "IsInfinity"
+                        ],
+                        [
+                            "IsCyclotomic"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "<: for cyclotomic and `infinity'",
+                    "filters": [
+                        [
+                            "IsCyclotomic"
+                        ],
+                        [
+                            "IsInfinity"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "<: for two plist matrices",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ],
+                        [
+                            "IsPlistMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1429
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "<: for two direct product elements",
+                    "filters": [
+                        [
+                            "IsDirectProductElement"
+                        ],
+                        [
+                            "IsDirectProductElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 195
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "<: for two finite field elements in different characteristic",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 111
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "<: for a finite field element, and a cyclotomic",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsCyclotomic"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "<: for a cyclotomic, and a finite field element",
+                    "filters": [
+                        [
+                            "IsCyclotomic"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "<: for float and rational",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 983
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "<: for rational and float",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 983
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "<: IsTransformationRepOfEndo, IsEndoMapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsTransformationRepOfEndo"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fastendo.gi",
+                        "line": 231
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "<: IsEndoMapping, IsTransformationRepOfEndo",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsTransformationRepOfEndo"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fastendo.gi",
+                        "line": 214
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "<",
+                    "filters": [
+                        [
+                            "IsPadicExtensionNumber"
+                        ],
+                        [
+                            "IsPadicExtensionNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 1361
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "<",
+                    "filters": [
+                        [
+                            "IsPurePadicNumber"
+                        ],
+                        [
+                            "IsPurePadicNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 729
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "<: zmodnze : for two elements in Z/nZ(m) (ZmodnZepsRep)",
+                    "filters": [
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ],
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 173
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "<: for s. c. ring elements in dense vector rep.",
+                    "filters": [
+                        [
+                            "IsSCRingObj",
+                            "IsDenseCoeffVectorRep"
+                        ],
+                        [
+                            "IsSCRingObj",
+                            "IsDenseCoeffVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 201
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "<: for two Lie objects in default representation",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 167
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "<: for s. c. algebra elements in dense vector rep.",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj",
+                            "IsDenseCoeffVectorRep"
+                        ],
+                        [
+                            "IsSCAlgebraObj",
+                            "IsDenseCoeffVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 317
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "<: for floats",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ],
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 986
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "<: FElm<BFElm",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsAlgBFRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 696
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "<: BFElm<FElm",
+                    "filters": [
+                        [
+                            "IsAlgBFRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 691
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "<: FElm<AlgElm",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsKroneckerConstRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 686
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "<: AlgElm<FElm",
+                    "filters": [
+                        [
+                            "IsKroneckerConstRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 667
+                    },
+                    "rank": 25
+                },
+                {
+                    "aka": [
+                        "SMALLER_RATFUN"
+                    ],
+                    "comment": "<: rational functions",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction"
+                        ],
+                        [
+                            "IsPolynomialFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 958
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "<: for two UEALattice elements",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsUEALatticeElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsUEALatticeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 1464
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "<: for binary rels over [1..n] with images list",
+                    "filters": [
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ],
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1195
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "<: for a permutation, and a finite field element",
+                    "filters": [
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "<: for a permutation, and a cyclotomic",
+                    "filters": [
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsCyclotomic"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "<: for a finite field element, and a permutation",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "<: for a cyclotomic, and a permutation",
+                    "filters": [
+                        [
+                            "IsCyclotomic"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "<: for a transformation and finite field element",
+                    "filters": [
+                        [
+                            "IsTransformation"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "<: for a finite field element and transformation",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsTransformation"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "<: for a cyclotomic and transformation",
+                    "filters": [
+                        [
+                            "IsCyclotomic"
+                        ],
+                        [
+                            "IsTransformation"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "<: for a transformation and cyclotomic",
+                    "filters": [
+                        [
+                            "IsTransformation"
+                        ],
+                        [
+                            "IsCyclotomic"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "<: for two plist vectors",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
+                        ],
+                        [
+                            "IsPlistVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 432
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "<: for s. c. algebra elements",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj"
+                        ],
+                        [
+                            "IsSCAlgebraObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 310
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "<: for two normalized f.p. algebra elements",
+                    "filters": [
+                        [
+                            "IsElementOfFpAlgebra",
+                            "IsNormalForm",
+                            "Tester(IsNormalForm)"
+                        ],
+                        [
+                            "IsElementOfFpAlgebra",
+                            "IsNormalForm",
+                            "Tester(IsNormalForm)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 239
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "<: for two free magma ring elements",
+                    "filters": [
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ],
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 298
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "<: xorbs, via AsSSortedList",
+                    "filters": [
+                        [
+                            "IsExternalOrbit"
+                        ],
+                        [
+                            "IsExternalOrbit"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 422
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "<: for two weight rep elements",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsWeightRepElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsWeightRepElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 2898
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "<: for two cochains",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsCochain"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsCochain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 315
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "<: for direct sum elements",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsDirectSumElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsDirectSumElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 3312
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "<: for sparse rowspace elements",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsSparseRowSpaceElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsSparseRowSpaceElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 2939
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "<: for monomial elements",
+                    "filters": [
+                        [
+                            "IsMonomialElement",
+                            "IsMonomialElementRep"
+                        ],
+                        [
+                            "IsMonomialElement",
+                            "IsMonomialElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 1465
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "<: for two algebra module elements in packed representation",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsAlgebraModuleElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsAlgebraModuleElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 638
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "<",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 1136
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "<",
+                    "filters": [
+                        [
+                            "IsCoeffsModConwayPolRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 1121
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "<",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 1107
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "<",
+                    "filters": [
+                        [
+                            "IsCoeffsModConwayPolRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 1092
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "<: for two f.p. algebra elements (try nice monomorphism)",
+                    "filters": [
+                        [
+                            "IsElementOfFpAlgebra"
+                        ],
+                        [
+                            "IsElementOfFpAlgebra"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 258
+                    },
+                    "rank": 18
+                },
+                {
+                    "aka": [
+                        "LT_LIST_LIST_DEFAULT"
+                    ],
+                    "comment": "<: for two small homogeneous lists",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsSmallList",
+                            "Tester(IsSmallList)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsSmallList",
+                            "Tester(IsSmallList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 117
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "<: for two small lists, possibly in different families",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsSmallList",
+                            "Tester(IsSmallList)"
+                        ],
+                        [
+                            "IsList",
+                            "IsSmallList",
+                            "Tester(IsSmallList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 117
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "<: for a list, and a finite field element",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "<: for a list, and a cyclotomic",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsCyclotomic"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "<: for a finite field element, and a list",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "<: for a cyclotomic, and a list",
+                    "filters": [
+                        [
+                            "IsCyclotomic"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "<: for fp monoid elts produced by the Froidure-Pin algorithm",
+                    "filters": [
+                        [
+                            "IsFpMonoidReducedElt",
+                            "Tester(IsFpMonoidReducedElt)"
+                        ],
+                        [
+                            "IsFpMonoidReducedElt",
+                            "Tester(IsFpMonoidReducedElt)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 1417
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "<: for two 32 bits assoc. words",
+                    "filters": [
+                        [
+                            "Is32BitsAssocWord"
+                        ],
+                        [
+                            "Is32BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 649
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "<: for two 16 bits assoc. words",
+                    "filters": [
+                        [
+                            "Is16BitsAssocWord"
+                        ],
+                        [
+                            "Is16BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 556
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "<: for two 8 bits assoc. words",
+                    "filters": [
+                        [
+                            "Is8BitsAssocWord"
+                        ],
+                        [
+                            "Is8BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 463
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "<: for a character, and a finite field element",
+                    "filters": [
+                        [
+                            "IsChar"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "<: for a character, and a cyclotomic",
+                    "filters": [
+                        [
+                            "IsChar"
+                        ],
+                        [
+                            "IsCyclotomic"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "<: for a boolean, and a finite field element",
+                    "filters": [
+                        [
+                            "IsBool"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "<: for a boolean, and a cyclotomic",
+                    "filters": [
+                        [
+                            "IsBool"
+                        ],
+                        [
+                            "IsCyclotomic"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "<: for a finite field element, and a character",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsChar"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "<: for a finite field element, and a boolean",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsBool"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "<: for a cyclotomic, and a character",
+                    "filters": [
+                        [
+                            "IsCyclotomic"
+                        ],
+                        [
+                            "IsChar"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "<: for a cyclotomic, and a boolean",
+                    "filters": [
+                        [
+                            "IsCyclotomic"
+                        ],
+                        [
+                            "IsBool"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "<: for fp semigp elts produced by the Froidure-Pin algorithm",
+                    "filters": [
+                        [
+                            "IsFpSemigpReducedElt",
+                            "Tester(IsFpSemigpReducedElt)"
+                        ],
+                        [
+                            "IsFpSemigpReducedElt",
+                            "Tester(IsFpSemigpReducedElt)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 1403
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "<: for two f.p. group elements",
+                    "filters": [
+                        [
+                            "IsElementOfFpGroup"
+                        ],
+                        [
+                            "IsElementOfFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 177
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "<: wreath elements",
+                    "filters": [
+                        [
+                            "IsWreathProductElement"
+                        ],
+                        [
+                            "IsWreathProductElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 974
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "<: for two elements of magma by mult. table",
+                    "filters": [
+                        [
+                            "IsMagmaByMultiplicationTableObj"
+                        ],
+                        [
+                            "IsMagmaByMultiplicationTableObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grptbl.gi",
+                        "line": 58
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "<: for two elements of magmas with zero adjoined",
+                    "filters": [
+                        [
+                            "IsMagmaWithZeroAdjoinedElementRep"
+                        ],
+                        [
+                            "IsMagmaWithZeroAdjoinedElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmadj.gi",
+                        "line": 250
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "<: for two general mappings",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 770
+                    },
+                    "rank": 14
+                },
+                {
+                    "aka": [
+                        "LT_LIST_LIST_FINITE"
+                    ],
+                    "comment": "<: for two finite homogeneous lists (not necessarily small)",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsFinite",
+                            "Tester(IsFinite)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsFinite",
+                            "Tester(IsFinite)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 148
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "<",
+                    "filters": [
+                        [
+                            "IsMonoidByAdjoiningIdentityElt"
+                        ],
+                        [
+                            "IsMonoidByAdjoiningIdentityElt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/adjoin.gi",
+                        "line": 92
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "<: for two elements of a f.p. monoid",
+                    "filters": [
+                        [
+                            "IsElementOfFpMonoid"
+                        ],
+                        [
+                            "IsElementOfFpMonoid"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpmon.gi",
+                        "line": 73
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "<",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwsgrp.gi",
+                        "line": 277
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "<: assoc words in letter rep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsLetterAssocWordRep"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsLetterAssocWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 329
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "<: for two equivalence classes",
+                    "filters": [
+                        [
+                            "IsEquivalenceClass"
+                        ],
+                        [
+                            "IsEquivalenceClass"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 2176
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "<: for elements of a Rees 0-matrix semigroup",
+                    "filters": [
+                        [
+                            "IsReesZeroMatrixSemigroupElement"
+                        ],
+                        [
+                            "IsReesZeroMatrixSemigroupElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 938
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "<: for elements of a Rees matrix semigroup",
+                    "filters": [
+                        [
+                            "IsReesMatrixSemigroupElement"
+                        ],
+                        [
+                            "IsReesMatrixSemigroupElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 922
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "<: for two elements of a f.p. semigroup",
+                    "filters": [
+                        [
+                            "IsElementOfFpSemigroup"
+                        ],
+                        [
+                            "IsElementOfFpSemigroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpsemi.gi",
+                        "line": 82
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "<: assoc words",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordass.gi",
+                        "line": 189
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "<: for a domain and a list",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ],
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/domain.gi",
+                        "line": 82
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "<: for a list and a domain",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/domain.gi",
+                        "line": 69
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "<: for a list, and a permutation",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "<: for a permutation, and a list",
+                    "filters": [
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "<: wrapped additive elements",
+                    "filters": [
+                        [
+                            "IsAdditiveElementAsMultiplicativeElementRep"
+                        ],
+                        [
+                            "IsAdditiveElementAsMultiplicativeElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 835
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "<: for a character, and a permutation",
+                    "filters": [
+                        [
+                            "IsChar"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "<: for a boolean, and a permutation",
+                    "filters": [
+                        [
+                            "IsBool"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "<: for a permutation, and a character",
+                    "filters": [
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsChar"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "<: for a permutation, and a boolean",
+                    "filters": [
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsBool"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "<: nonassoc words",
+                    "filters": [
+                        [
+                            "IsWord"
+                        ],
+                        [
+                            "IsWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/word.gi",
+                        "line": 61
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "<: for two info classes",
+                    "filters": [
+                        [
+                            "IsInfoClassListRep"
+                        ],
+                        [
+                            "IsInfoClassListRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/info.gi",
+                        "line": 195
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "<: for two finite lists, possibly in different families",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 148
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "<: for a list, and a character",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsChar"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "<: for a list, and a boolean",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsBool"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "<: for a character, and a list",
+                    "filters": [
+                        [
+                            "IsChar"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "<: for a boolean, and a list",
+                    "filters": [
+                        [
+                            "IsBool"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "<: for two IsFile objects",
+                    "filters": [
+                        [
+                            "IsFile"
+                        ],
+                        [
+                            "IsFile"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/io-4.4.4/gap/io.gi",
+                        "line": 182
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "<: for a character, and a boolean",
+                    "filters": [
+                        [
+                            "IsChar"
+                        ],
+                        [
+                            "IsBool"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 495
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "<: for a boolean, and a character",
+                    "filters": [
+                        [
+                            "IsBool"
+                        ],
+                        [
+                            "IsChar"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 491
+                    },
+                    "rank": 2
+                },
+                {
+                    "aka": [
+                        "LT_PREC"
+                    ],
+                    "comment": "<: record < record",
+                    "filters": [
+                        [
+                            "IsRecord"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/record.g",
+                        "line": 341
+                    },
+                    "rank": 2
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "<",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IN",
+            "in"
+        ],
+        "filters": [
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 156
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "in: for an object, and a collection that contains the whole family",
+                    "filters": [
+                        [],
+                        [
+                            "IsCollection",
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 271
+                    },
+                    "rank": 10004
+                },
+                {
+                    "comment": "in: for wrong family relation",
+                    "filters": [
+                        [],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 225
+                    },
+                    "rank": 10002
+                },
+                {
+                    "comment": "in: TF method, use tree",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(FittingFreeLiftSetup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fitfree.gi",
+                        "line": 281
+                    },
+                    "rank": 438
+                },
+                {
+                    "comment": "in: for a FFE, and a field of FFEs",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 680
+                    },
+                    "rank": 434
+                },
+                {
+                    "comment": "in: special linear group",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNaturalSL",
+                            "Tester(IsNaturalSL)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpffmat.gi",
+                        "line": 234
+                    },
+                    "rank": 429
+                },
+                {
+                    "comment": "in: general linear group",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNaturalGL",
+                            "Tester(IsNaturalGL)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpffmat.gi",
+                        "line": 224
+                    },
+                    "rank": 427
+                },
+                {
+                    "comment": "in: respecting sesquilinear form",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
+                            "IsFullSubgroupGLorSLRespectingSesquilinearForm",
+                            "Tester(IsFullSubgroupGLorSLRespectingSesquilinearForm)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpmat.gi",
+                        "line": 783
+                    },
+                    "rank": 410
+                },
+                {
+                    "comment": "in: respecting bilinear form",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
+                            "IsFullSubgroupGLorSLRespectingBilinearForm",
+                            "Tester(IsFullSubgroupGLorSLRespectingBilinearForm)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpmat.gi",
+                        "line": 767
+                    },
+                    "rank": 410
+                },
+                {
+                    "comment": "in: for groups of FFE",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "CategoryCollections(IsFFE)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 241
+                    },
+                    "rank": 410
+                },
+                {
+                    "comment": "in: by nice monomorphism",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 227
+                    },
+                    "rank": 374
+                },
+                {
+                    "comment": "in: subgroup by property",
+                    "filters": [
+                        [],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(ElementTestFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4298
+                    },
+                    "rank": 136
+                },
+                {
+                    "comment": "in: for matrix and SL(n,Z)",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
+                            "IsNaturalSL",
+                            "Tester(IsNaturalSL)",
+                            "IsIntegerMatrixGroup",
+                            "Tester(IsIntegerMatrixGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpramat.gi",
+                        "line": 127
+                    },
+                    "rank": 88
+                },
+                {
+                    "comment": "in: for matrix and GL(n,Z)",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
+                            "IsNaturalGL",
+                            "Tester(IsNaturalGL)",
+                            "IsIntegerMatrixGroup",
+                            "Tester(IsIntegerMatrixGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpramat.gi",
+                        "line": 114
+                    },
+                    "rank": 86
+                },
+                {
+                    "comment": "in: for cyclotomic and Rationals",
+                    "filters": [
+                        [
+                            "IsCyclotomic"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing",
+                            "IsPrimeField",
+                            "Tester(IsPrimeField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rational.gi",
+                        "line": 58
+                    },
+                    "rank": 84
+                },
+                {
+                    "comment": "in: for subgroups of Z/p^aZ, p<>2",
+                    "filters": [
+                        [
+                            "IsZmodnZObjNonprime"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsZmodnZObjNonprime)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 950
+                    },
+                    "rank": 84
+                },
+                {
+                    "comment": "in: for cyclotomic and cyclotomic field",
+                    "filters": [
+                        [
+                            "IsCyc"
+                        ],
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsCyclotomicField",
+                            "Tester(IsCyclotomicField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 430
+                    },
+                    "rank": 83
+                },
+                {
+                    "comment": "in: for cyclotomic and abelian number field",
+                    "filters": [
+                        [
+                            "IsCyc"
+                        ],
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 422
+                    },
+                    "rank": 81
+                },
+                {
+                    "comment": "in: perm in natsymmetric group",
+                    "filters": [
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 709
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "in: alternating",
+                    "filters": [
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 51
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "in: Alg in Ext",
+                    "filters": [
+                        [
+                            "IsAlgebraicElement"
+                        ],
+                        [
+                            "IsAlgebraicExtension"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 786
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "in: for a permutation, and a permutation group",
+                    "filters": [
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagmaWithInverses)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 644
+                    },
+                    "rank": 67
+                },
+                {
+                    "comment": "in: FElm in Ext",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsAlgebraicExtension"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 792
+                    },
+                    "rank": 63
+                },
+                {
+                    "comment": "in: for full row module",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ],
+                        [
+                            "IsFreeLeftModule",
+                            "IsFullRowModule",
+                            "Tester(IsFullRowModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modulrow.gi",
+                        "line": 204
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "in: for Gaussian integers",
+                    "filters": [
+                        [
+                            "IsCyc"
+                        ],
+                        [
+                            "IsGaussianIntegers"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gaussian.gi",
+                        "line": 36
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "in: for integers",
+                    "filters": [
+                        [
+                            "IsCyclotomic"
+                        ],
+                        [
+                            "IsIntegers"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1856
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "in",
+                    "filters": [
+                        [
+                            "IsIEEE754FloatRep"
+                        ],
+                        [
+                            "IsIEEE754PseudoField"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 271
+                    },
+                    "rank": 53
+                },
+                {
+                    "comment": "in: for s. c. algebra element, and full s. c. algebra",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj"
+                        ],
+                        [
+                            "IsFullSCAlgebra",
+                            "Tester(IsFullSCAlgebra)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 503
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "in: generic direct product",
+                    "filters": [
+                        [
+                            "IsDirectProductElement"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(DirectProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 105
+                    },
+                    "rank": 51
+                },
+                {
+                    "comment": "in: generic wreath product",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(WreathProductInfo)",
+                            "CategoryCollections(IsWreathProductElement)"
+                        ],
+                        [
+                            "IsWreathProductElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 1058
+                    },
+                    "rank": 49
+                },
+                {
+                    "comment": "in: for full matrix module",
+                    "filters": [
+                        [],
+                        [
+                            "IsFreeLeftModule",
+                            "IsFullMatrixModule",
+                            "Tester(IsFullMatrixModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modulmat.gi",
+                        "line": 264
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "in: polynomial ideal",
+                    "filters": [
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(LeftActingRingOfIdeal)",
+                            "Tester(RightActingRingOfIdeal)",
+                            "CategoryCollections(IsRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/groebner.gi",
+                        "line": 1168
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "in",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsConjugacyClassSubgroupsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grplatt.gi",
+                        "line": 133
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "in: for ring element, and magma ring",
+                    "filters": [
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ],
+                        [
+                            "IsMagmaRingModuloRelations"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1068
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "in: for pc group",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(FamilyPcgs)",
+                            "CanEasilyComputePcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 458
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "in: subgroup of fp group by quotient rep",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsSubgroupFpGroup",
+                            "IsSubgroupOfWholeGroupByQuotientRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 513
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "in: for pcgs computable groups with home pcgs",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(InducedPcgsWrtHomePcgs)",
+                            "CanEasilyComputePcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 486
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "in: for full hom space of linear mappings",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "CategoryCollections(IsGeneralMapping)",
+                            "IsFreeLeftModule",
+                            "IsFullHomModule",
+                            "Tester(IsFullHomModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 2031
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "in: for nonnegative integers",
+                    "filters": [
+                        [
+                            "IsCyclotomic"
+                        ],
+                        [
+                            "IsNonnegativeIntegers"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1882
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "in: subgroup of fp group",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 501
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "in: for pcgs computable groups with induced pcgs",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(ComputedInducedPcgses)",
+                            "CanEasilyComputePcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 515
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "in: for row vector and Gaussian row space",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsRowModule",
+                            "Tester(IsRowModule)",
+                            "IsGaussianSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 489
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "in: for positive integers",
+                    "filters": [
+                        [
+                            "IsCyclotomic"
+                        ],
+                        [
+                            "IsPositiveIntegers"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1869
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "in: SC Rings",
+                    "filters": [
+                        [
+                            "IsSCRingObj"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRing)",
+                            "CategoryCollections(IsSCRingObj)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 812
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "in: default method, checking for <g> being among the generators",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagmaWithInverses)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4261
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "in: ratfun in fctfield",
+                    "filters": [
+                        [
+                            "IsRationalFunction"
+                        ],
+                        [
+                            "IsFunctionField"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 817
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "in: polynomial in polynomial ring",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction"
+                        ],
+                        [
+                            "IsPolynomialRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 498
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "in: for an element and an underlying relation of a general mapping",
+                    "filters": [
+                        [
+                            "IsDirectProductElement"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain",
+                            "CategoryCollections(IsDirectProductElement)",
+                            "Tester(UnderlyingGeneralMapping)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1506
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "in: for vector and free left module that is handled by a nice basis",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ],
+                        [
+                            "IsFreeLeftModule",
+                            "IsHandledByNiceBasis"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1260
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "in: for vector and fin. dim. free left module",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ],
+                        [
+                            "IsFreeLeftModule",
+                            "IsFiniteDimensional",
+                            "Tester(IsFiniteDimensional)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modfree.gi",
+                        "line": 88
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "in: for eq relation with partition",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsEquivalenceRelation",
+                            "Tester(IsEquivalenceRelation)",
+                            "Tester(EquivalenceRelationPartition)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1896
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "in: for a transformation and a full transformation semigroup",
+                    "filters": [
+                        [
+                            "IsTransformation"
+                        ],
+                        [
+                            "IsFullTransformationSemigroup",
+                            "Tester(IsFullTransformationSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semitran.gi",
+                        "line": 237
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "in: perm class rep",
+                    "filters": [
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsConjugacyClassPermGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clasperm.gi",
+                        "line": 81
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "in: for a right coset with representative",
+                    "filters": [
+                        [],
+                        [
+                            "Tester(Representative)",
+                            "Tester(ActingDomain)",
+                            "Tester(FunctionAction)",
+                            "IsRightCosetDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 1159
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "in",
+                    "filters": [
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsRationalClassPermGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clasperm.gi",
+                        "line": 168
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "in: xset: Test representative equal",
+                    "filters": [
+                        [],
+                        [
+                            "Tester(Representative)",
+                            "IsExternalSet"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 505
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "in: for an object, and an empty list",
+                    "filters": [
+                        [],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 225
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "in: for additive element and additive coset",
+                    "filters": [
+                        [
+                            "IsAdditiveElement"
+                        ],
+                        [
+                            "IsAdditiveCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addcoset.gi",
+                        "line": 232
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "in: for binary rels over [1..n] with images list",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1182
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "in: double coset",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsDoubleCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 307
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "in: by CanonicalRepresentativeDeterminator",
+                    "filters": [
+                        [],
+                        [
+                            "IsExternalOrbit",
+                            "Tester(CanonicalRepresentativeDeterminatorOfExternalSet)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 547
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "in: xorb HasAsSSortedList",
+                    "filters": [
+                        [],
+                        [
+                            "Tester(AsSSortedList)",
+                            "IsExternalOrbit"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 534
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "in: xorb HasAsList",
+                    "filters": [
+                        [],
+                        [
+                            "Tester(AsList)",
+                            "IsExternalOrbit"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 524
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "in: very small xorbs: test in AsList",
+                    "filters": [
+                        [],
+                        [
+                            "Tester(Size)",
+                            "IsExternalOrbit"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 486
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "in",
+                    "filters": [
+                        [],
+                        [
+                            "IsRationalClassGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 510
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "in: xorb: HasEnumerator",
+                    "filters": [
+                        [],
+                        [
+                            "Tester(Enumerator)",
+                            "IsExternalOrbit"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 514
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "in: xorb: RepresentativeAction",
+                    "filters": [
+                        [],
+                        [
+                            "IsExternalOrbit"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 493
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "in: for a magma congruence class",
+                    "filters": [
+                        [],
+                        [
+                            "IsCongruenceClass"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 925
+                    },
+                    "rank": 10
+                },
+                {
+                    "aka": [
+                        "IN_LIST_DEFAULT"
+                    ],
+                    "comment": "in: for an object, and a small list",
+                    "filters": [
+                        [],
+                        [
+                            "IsList",
+                            "IsSmallList",
+                            "Tester(IsSmallList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 237
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "in: membership test of Green's class",
+                    "filters": [
+                        [],
+                        [
+                            "IsGreensClass"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 416
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "in: for an enumerator that perhaps has its own membership test function",
+                    "filters": [
+                        [],
+                        [
+                            "IsList",
+                            "IsDenseList",
+                            "IsDuplicateFree",
+                            "Tester(IsDuplicateFree)",
+                            "IsEnumeratorByFunctionsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 497
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "in: for element and equivalence class",
+                    "filters": [
+                        [],
+                        [
+                            "IsEquivalenceClass"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 2115
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "in: for a domain, and an element",
+                    "filters": [
+                        [],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/domain.gi",
+                        "line": 248
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "in: for an object, and a list",
+                    "filters": [
+                        [],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 259
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "in:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpramat.gi",
+                        "line": 443
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "in",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SHALLOW_COPY_OBJ",
+            "ShallowCopy"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 276
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "aka": [
+                        "SHALLOWCOPY_GF2MAT"
+                    ],
+                    "comment": "ShallowCopy: for GF2 matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsGF2MatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 718
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ShallowCopy: for class function",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 104
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "ShallowCopy: For a compressed MatFFE",
+                    "filters": [
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "Is8BitMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mat8bit.gi",
+                        "line": 174
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "ShallowCopy: for an empty row vector",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsEmptyRowVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rvecempt.gi",
+                        "line": 87
+                    },
+                    "rank": 28
+                },
+                {
+                    "aka": [
+                        "SHALLOWCOPY_VEC8BIT"
+                    ],
+                    "comment": "ShallowCopy: For a compressed VecFFE",
+                    "filters": [
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 184
+                    },
+                    "rank": 24
+                },
+                {
+                    "aka": [
+                        "SHALLOWCOPY_GF2VEC"
+                    ],
+                    "comment": "ShallowCopy: for GF2 vectors",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1621
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "ShallowCopy: combinatorial collector rep",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsCombinatorialCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspccoc.gi",
+                        "line": 352
+                    },
+                    "rank": 19
+                },
+                {
+                    "aka": [
+                        "ShallowCopy_SingleCollector"
+                    ],
+                    "comment": "ShallowCopy",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsSingleCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcsng.gi",
+                        "line": 1206
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "ShallowCopy: for a plist matrix",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1019
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "ShallowCopy",
+                    "filters": [
+                        [
+                            "IsCopyable",
+                            "IsSortLookupDictionary"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 74
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "ShallowCopy: for a plist vector",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 338
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "ShallowCopy: method for a weak pointer object",
+                    "filters": [
+                        [
+                            "IsWeakPointerObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wpobj.gi",
+                        "line": 172
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "ShallowCopy",
+                    "filters": [
+                        [
+                            "IsCopyable",
+                            "TableHasIntKeyFun",
+                            "IsSparseHashRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 617
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "ShallowCopy",
+                    "filters": [
+                        [
+                            "IsCopyable",
+                            "IsPositionLookupDictionary"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 254
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "ShallowCopy",
+                    "filters": [
+                        [
+                            "IsCopyable",
+                            "IsListLookupDictionary"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 60
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "ShallowCopy: for a strictly sorted dense list",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsDenseList",
+                            "IsSSortedList",
+                            "Tester(IS_SSORT_LIST)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 573
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "ShallowCopy",
+                    "filters": [
+                        [
+                            "IsCopyable",
+                            "IsSparseHashRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 605
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "ShallowCopy",
+                    "filters": [
+                        [
+                            "IsCopyable",
+                            "IsSortDictionary"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 81
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "ShallowCopy: for a strictly sorted list",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsSSortedList",
+                            "Tester(IS_SSORT_LIST)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 573
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "ShallowCopy",
+                    "filters": [
+                        [
+                            "IsUnicodeString"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/UnicodeTools.gi",
+                        "line": 625
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "ShallowCopy",
+                    "filters": [
+                        [
+                            "IsCopyable",
+                            "IsPositionDictionary"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 244
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "ShallowCopy",
+                    "filters": [
+                        [
+                            "IsCopyable",
+                            "IsListDictionary"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 67
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "ShallowCopy: for a Knuth Bendix rewriting system",
+                    "filters": [
+                        [
+                            "IsKnuthBendixRewritingSystem",
+                            "IsKnuthBendixRewritingSystemRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/kbsemi.gi",
+                        "line": 787
+                    },
+                    "rank": 5
+                },
+                {
+                    "aka": [
+                        "DEEP_COPY_OBJ",
+                        "StructuralCopy"
+                    ],
+                    "comment": "ShallowCopy: for a presentation in default representation",
+                    "filters": [
+                        [
+                            "IsPresentation",
+                            "IsPresentationDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tietze.gi",
+                        "line": 389
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "ShallowCopy: for a dense list",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsDenseList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 573
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "ShallowCopy: for `IsIteratorByFunctions'",
+                    "filters": [
+                        [
+                            "IsIterator",
+                            "IsIteratorByFunctionsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 1011
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "ShallowCopy: for a list",
+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 573
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "ShallowCopy: generic method for mutable basis",
+                    "filters": [
+                        [
+                            "IsMutableBasis"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basismut.gi",
+                        "line": 24
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "ShallowCopy: for a (not copyable) object",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 466
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ShallowCopy",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 356
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Name: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Name)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gd",
+                        "line": 356
+                    },
+                    "rank": 20003
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Name",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetName"
+        ],
+        "filters": [
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 356
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(Name): generic test routine",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 677
+                    },
+                    "rank": 10001
+                },
+                {
+                    "comment": "Setter(Name): set name of indeterminate",
+                    "filters": [
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ],
+                        [
+                            "IsString"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 61
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "Setter(Name): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gd",
+                        "line": 356
+                    },
+                    "rank": 2
+                },
+                {
+                    "aka": [
+                        "DO_NOTHING_SETTER"
+                    ],
+                    "comment": "Setter(Name): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gd",
+                        "line": 356
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(Name)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasName"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 356
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(Name)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                []
+            ],
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 373
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "InfoText: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(InfoText)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gd",
+                        "line": 373
+                    },
+                    "rank": 20003
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "InfoText",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetInfoText"
+        ],
+        "filters": [
+            [
+                [],
+                []
+            ],
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 373
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(InfoText): system mutable setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gd",
+                        "line": 373
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(InfoText): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gd",
+                        "line": 373
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(InfoText)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasInfoText"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 373
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(InfoText)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                []
+            ],
+            [
+                [],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 412
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 413
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "String: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(String)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gd",
+                        "line": 412
+                    },
+                    "rank": 20003
+                },
+                {
+                    "comment": "String",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/teaching.g",
+                        "line": 790
+                    },
+                    "rank": 10000
+                },
+                {
+                    "comment": "String: for a field of FFEs",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 653
+                    },
+                    "rank": 429
+                },
+                {
+                    "comment": "String: for cyclotomic field of cyclotomics",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsCyclotomicField",
+                            "Tester(IsCyclotomicField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 376
+                    },
+                    "rank": 67
+                },
+                {
+                    "comment": "String: for abelian number field of cyclotomics",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 350
+                    },
+                    "rank": 65
+                },
+                {
+                    "comment": "String: for natural alternating group",
+                    "filters": [
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1785
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "String: for natural symmetric group",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1774
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "String: for a polynomial ring",
+                    "filters": [
+                        [
+                            "IsPolynomialRing"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 349
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "String: for full row modules",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsFullRowModule",
+                            "Tester(IsFullRowModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modulrow.gi",
+                        "line": 190
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "String: for a group with generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagmaWithInverses)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 3951
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "String: for a group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 3929
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "String: for a range",
+                    "filters": [
+                        [
+                            "IsRange"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 394
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "String: for a inverse monoid with known generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsInverseSemigroup",
+                            "Tester(IsInverseSemigroup)",
+                            "Tester(GeneratorsOfInverseMonoid)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/invsgp.gi",
+                        "line": 434
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "String: for a inverse monoid",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsInverseSemigroup",
+                            "Tester(IsInverseSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/invsgp.gi",
+                        "line": 419
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "String: for conjugator isomorphism",
+                    "filters": [
+                        [
+                            "IsConjugatorIsomorphism",
+                            "Tester(IsConjugatorIsomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 1240
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "String: for a inverse semigroup with known generators",
+                    "filters": [
+                        [
+                            "IsInverseSemigroup",
+                            "Tester(IsInverseSemigroup)",
+                            "Tester(GeneratorsOfInverseSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/invsgp.gi",
+                        "line": 381
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "String: for a inverse semigroup",
+                    "filters": [
+                        [
+                            "IsInverseSemigroup",
+                            "Tester(IsInverseSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/invsgp.gi",
+                        "line": 366
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "String: for monoid with known generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "Tester(GeneratorsOfMagmaWithOne)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/monoid.gi",
+                        "line": 41
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "String: for monoid",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/monoid.gi",
+                        "line": 25
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "String: for element in Z/pZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 152
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "String: for an unknown in default representation",
+                    "filters": [
+                        [
+                            "IsUnknown",
+                            "IsUnknownDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/unknown.gi",
+                        "line": 317
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "String: for an integer",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 1021
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "String: for GHBI",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 893
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "String: For large finite field elements",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 233
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "String: for an internal FFE",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 950
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "String: AlgElm",
+                    "filters": [
+                        [
+                            "IsKroneckerConstRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 355
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "String: BFElm",
+                    "filters": [
+                        [
+                            "IsAlgBFRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 348
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "String: laurent polynomial",
+                    "filters": [
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1279
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "String: for a rational",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 1035
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "String: for element in Z/nZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 144
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "String: for a semigroup with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 395
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "String: for -infinity",
+                    "filters": [
+                        [
+                            "IsNegInfinity"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 1105
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "String: for infinity",
+                    "filters": [
+                        [
+                            "IsInfinity"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 1100
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "String: for a cyclotomic",
+                    "filters": [
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 1095
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "String: for macfloats",
+                    "filters": [
+                        [
+                            "IsIEEE754FloatRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ieee754.g",
+                        "line": 61
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "String: for plist matrix",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1304
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "String: univar",
+                    "filters": [
+                        [
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1349
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "String: for a semigroup",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 380
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "String: polynomial",
+                    "filters": [
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 592
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "String: rational function",
+                    "filters": [
+                        [
+                            "IsRationalFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 587
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "String: for a plist vector",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 174
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "String: for s. c. ring element",
+                    "filters": [
+                        [
+                            "IsSCRingObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 176
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "String: for s. c. algebra element",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 260
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "String: for magma ring element",
+                    "filters": [
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 259
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "String: pcword",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "IsNBitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcgrp.gi",
+                        "line": 243
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "String: for an element of an f.p. group (default repres.)",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsElementOfFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 65
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "String: for a permutation",
+                    "filters": [
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/permutat.g",
+                        "line": 706
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "String: for a partial perm",
+                    "filters": [
+                        [
+                            "IsPartialPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pperm.gi",
+                        "line": 601
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "String: for a transformation",
+                    "filters": [
+                        [
+                            "IsTransformation"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/trans.gi",
+                        "line": 394
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "String: for an fp monoid element",
+                    "filters": [
+                        [
+                            "IsElementOfFpMonoid"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpmon.gi",
+                        "line": 136
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "String: for an f.p. semigroup element",
+                    "filters": [
+                        [
+                            "IsElementOfFpSemigroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpsemi.gi",
+                        "line": 123
+                    },
+                    "rank": 5
+                },
+                {
+                    "aka": [
+                        "NiceStringAssocWord"
+                    ],
+                    "comment": "String: for an associative word",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 312
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "String: for a nonassociative word",
+                    "filters": [
+                        [
+                            "IsNonassocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/word.gi",
+                        "line": 221
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "String: for a string (do nothing)",
+                    "filters": [
+                        [
+                            "IsString"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/string.g",
+                        "line": 310
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "String: for a (finite) list",
+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 328
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "String: for a boolean",
+                    "filters": [
+                        [
+                            "IsBool"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/boolean.g",
+                        "line": 86
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "String: record",
+                    "filters": [
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/record.g",
+                        "line": 279
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "String: for a character",
+                    "filters": [
+                        [
+                            "IsChar"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/string.g",
+                        "line": 322
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "String",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 155
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "String: for an object, and zero",
+                    "filters": [
+                        [],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 375
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "String: for an object, and a negative integer",
+                    "filters": [
+                        [],
+                        [
+                            "IsInt",
+                            "IsNegRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 363
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "String: for an object, and a positive integer",
+                    "filters": [
+                        [],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 330
+                    },
+                    "rank": 19
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "String",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetString"
+        ],
+        "filters": [
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 412
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(String): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gd",
+                        "line": 412
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(String): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gd",
+                        "line": 412
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(String)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasString"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 412
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(String)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 437
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "PrintObj: for full hom space of linear mappings",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsGeneralMapping)",
+                            "IsFreeLeftModule",
+                            "IsFullHomModule",
+                            "Tester(IsFullHomModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 2012
+                    },
+                    "rank": 10036
+                },
+                {
+                    "comment": "PrintObj: for full ring Z/nZ",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "CategoryCollections(IsZmodnZObjNonprime)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 835
+                    },
+                    "rank": 10023
+                },
+                {
+                    "comment": "PrintObj: for zero mapping",
+                    "filters": [
+                        [
+                            "IsZero",
+                            "Tester(IsZero)",
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1633
+                    },
+                    "rank": 10017
+                },
+                {
+                    "comment": "PrintObj: for identity mapping",
+                    "filters": [
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1352
+                    },
+                    "rank": 10017
+                },
+                {
+                    "comment": "PrintObj: for a Lie object in default representation",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 131
+                    },
+                    "rank": 10013
+                },
+                {
+                    "comment": "PrintObj: for a canonical basis",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsCanonicalBasis",
+                            "Tester(IsCanonicalBasis)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 246
+                    },
+                    "rank": 10009
+                },
+                {
+                    "comment": "PrintObj: for an object with name",
+                    "filters": [
+                        [
+                            "Tester(Name)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 387
+                    },
+                    "rank": 10001
+                },
+                {
+                    "comment": "PrintObj: for a field of FFEs",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 666
+                    },
+                    "rank": 429
+                },
+                {
+                    "comment": "PrintObj: subgroup by property",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(ElementTestFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4284
+                    },
+                    "rank": 136
+                },
+                {
+                    "comment": "PrintObj: for a restricted mapping",
+                    "filters": [
+                        [
+                            "IsGeneralRestrictedMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1933
+                    },
+                    "rank": 110
+                },
+                {
+                    "comment": "PrintObj: for a composition mapping",
+                    "filters": [
+                        [
+                            "IsCompositionMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 473
+                    },
+                    "rank": 110
+                },
+                {
+                    "comment": "PrintObj: for an inverse mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInverseGeneralMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1108
+                    },
+                    "rank": 109
+                },
+                {
+                    "comment": "PrintObj: objects with memory",
+                    "filters": [
+                        [
+                            "IsObjWithMemory"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 174
+                    },
+                    "rank": 107
+                },
+                {
+                    "comment": "PrintObj: for cyclotomic field of cyclotomics",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsCyclotomicField",
+                            "Tester(IsCyclotomicField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 331
+                    },
+                    "rank": 67
+                },
+                {
+                    "comment": "PrintObj: for abelian number field of cyclotomics",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 319
+                    },
+                    "rank": 65
+                },
+                {
+                    "comment": "PrintObj: for natural symmetric group",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1801
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "PrintObj: for natural alternating group",
+                    "filters": [
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1793
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "PrintObj: for a function field",
+                    "filters": [
+                        [
+                            "IsFunctionField"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 782
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "PrintObj: for a polynomial ring",
+                    "filters": [
+                        [
+                            "IsPolynomialRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 372
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "PrintObj: for algebraic extension",
+                    "filters": [
+                        [
+                            "IsNumberField",
+                            "Tester(IsNumberField)",
+                            "IsAlgebraicExtension"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 242
+                    },
+                    "rank": 57
+                },
+                {
+                    "comment": "PrintObj: for a field with known generators",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing",
+                            "Tester(GeneratorsOfDivisionRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 271
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": "PrintObj: for a field",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 284
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "PrintObj: for full matrix module",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsFullMatrixModule",
+                            "Tester(IsFullMatrixModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modulmat.gi",
+                        "line": 247
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "PrintObj: for full row module",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsFullRowModule",
+                            "Tester(IsFullRowModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modulrow.gi",
+                        "line": 180
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "PrintObj: for a matrix group",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpmat.gi",
+                        "line": 729
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "PrintObj: for a semigroup with known generators",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPartialPerm)",
+                            "IsMagma",
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semipperm.gi",
+                        "line": 18
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "PrintObj: for an algebra-with-one with known generators",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfLeftOperatorRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2087
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "PrintObj: for an algebra-with-one",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2074
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "PrintObj: for a semigroup with known generators",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsTransformation)",
+                            "IsMagma",
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semitran.gi",
+                        "line": 19
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "PrintObj: for a FLMLOR-with-one with known generators",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "Tester(GeneratorsOfLeftOperatorRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1976
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "PrintObj: for an algebra with known generators",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfLeftOperatorRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2030
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "PrintObj: for a FLMLOR-with-one",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1963
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "PrintObj: for an algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2018
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "PrintObj: for a free magma ring",
+                    "filters": [
+                        [
+                            "IsFreeMagmaRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 679
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "PrintObj: for a group with generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagmaWithInverses)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 3940
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "PrintObj: for a character",
+                    "filters": [
+                        [
+                            "IsClassFunction",
+                            "IsCharacter",
+                            "Tester(IsCharacter)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 1149
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "PrintObj: for a FLMLOR with known generators",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "Tester(GeneratorsOfLeftOperatorRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1918
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "PrintObj: for a group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 3922
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "PrintObj: for a FLMLOR",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1906
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "PrintObj: for an ordinary block matrix",
+                    "filters": [
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 641
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "PrintObj: for a virtual character",
+                    "filters": [
+                        [
+                            "IsClassFunction",
+                            "IsVirtualCharacter",
+                            "Tester(IsVirtualCharacter)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 1141
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "PrintObj: for a semigroup Congruence with known generating pairs",
+                    "filters": [
+                        [
+                            "Tester(GeneratingPairsOfMagmaCongruence)",
+                            "IsSemigroupCongruence",
+                            "Tester(IsSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gi",
+                        "line": 269
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "PrintObj: for a semigroup congruence",
+                    "filters": [
+                        [
+                            "IsSemigroupCongruence",
+                            "Tester(IsSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gi",
+                        "line": 260
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "PrintObj: for a class function",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 1133
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "PrintObj: for an algebra-with-one hom. b.i",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsOne",
+                            "Tester(RespectsOne)",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 234
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "PrintObj: for null map matrix",
+                    "filters": [
+                        [
+                            "IsNullMapMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 338
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "PrintObj: for a ring-with-one with generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRingWithOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 53
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "PrintObj: for an alg. hom. from f. p. algebra",
+                    "filters": [
+                        [
+                            "IsAlgebraHomomorphismFromFpRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 977
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "PrintObj: for an operation algebra homomorphism",
+                    "filters": [
+                        [
+                            "IsOperationAlgebraHomomorphismDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 781
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "PrintObj: for an algebra hom. b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 245
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "PrintObj: for a two-sided ideal with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfTwoSidedIdeal)",
+                            "Tester(LeftActingRingOfIdeal)",
+                            "Tester(RightActingRingOfIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 340
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "PrintObj: for a ring-with-one",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 45
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "PrintObj: for a right semigroup congruence with known generating pairs",
+                    "filters": [
+                        [
+                            "Tester(GeneratingPairsOfMagmaCongruence)",
+                            "IsRightSemigroupCongruence",
+                            "Tester(IsRightSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gi",
+                        "line": 250
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "PrintObj: for a left semigroup congruence with known generating pairs",
+                    "filters": [
+                        [
+                            "Tester(GeneratingPairsOfMagmaCongruence)",
+                            "IsLeftSemigroupCongruence",
+                            "Tester(IsLeftSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gi",
+                        "line": 231
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "PrintObj: For a compressed MatFFE",
+                    "filters": [
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "Is8BitMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mat8bit.gi",
+                        "line": 155
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "PrintObj: for a right ideal with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRightIdeal)",
+                            "Tester(RightActingRingOfIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 329
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "PrintObj: for a left ideal with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfLeftIdeal)",
+                            "Tester(LeftActingRingOfIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 319
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "PrintObj: for inner automorphism",
+                    "filters": [
+                        [
+                            "IsInnerAutomorphism",
+                            "Tester(IsInnerAutomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 1273
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "PrintObj: for an ring hom. b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsRingGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 123
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "PrintObj: for algebra module",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsAlgebraModule",
+                            "Tester(IsAlgebraModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 47
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "PrintObj: for an algebra-with-one g.m.b.i",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsOne",
+                            "Tester(RespectsOne)",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 256
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "PrintObj: for a left module hom. b.i",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 550
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "PrintObj: for a ring with generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 32
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "PrintObj: for a inverse monoid with known generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsInverseSemigroup",
+                            "Tester(IsInverseSemigroup)",
+                            "Tester(GeneratorsOfInverseMonoid)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/invsgp.gi",
+                        "line": 426
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "PrintObj: for a magma Congruence with known generating pairs",
+                    "filters": [
+                        [
+                            "IsMagmaCongruence",
+                            "Tester(GeneratingPairsOfMagmaCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 81
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "PrintObj: for a right magma congruence with known generating pairs",
+                    "filters": [
+                        [
+                            "IsRightMagmaCongruence",
+                            "Tester(GeneratingPairsOfMagmaCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 61
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "PrintObj: for a left magma congruence with known generating pairs",
+                    "filters": [
+                        [
+                            "IsLeftMagmaCongruence",
+                            "Tester(GeneratingPairsOfMagmaCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 42
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "PrintObj: for ANF automorphism",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 2082
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "PrintObj: for a Frobenius automorphism",
+                    "filters": [
+                        [
+                            "IsFrobeniusAutomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 900
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "PrintObj: method for vector space with left module generators",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfLeftOperatorAdditiveGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gi",
+                        "line": 219
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "PrintObj: for a ring",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 24
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "PrintObj: for a magma congruence",
+                    "filters": [
+                        [
+                            "IsMagmaCongruence"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 72
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "PrintObj: for an algebra g.m.b.i",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 267
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "PrintObj: method for vector space",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gi",
+                        "line": 226
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "PrintObj: pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPcgsDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 130
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "PrintObj: For a compressed VecFFE",
+                    "filters": [
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 173
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "PrintObj: for free left module with known generators",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "Tester(GeneratorsOfLeftOperatorAdditiveGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modfree.gi",
+                        "line": 533
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "PrintObj: for a right semigroup congruence",
+                    "filters": [
+                        [
+                            "IsRightSemigroupCongruence",
+                            "Tester(IsRightSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gi",
+                        "line": 241
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "PrintObj: for a left semigroup congruence",
+                    "filters": [
+                        [
+                            "IsLeftSemigroupCongruence",
+                            "Tester(IsLeftSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gi",
+                        "line": 222
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "PrintObj: for embedding into wreath product",
+                    "filters": [
+                        [
+                            "IsEmbeddingImprimitiveWreathProductMatrixGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdmat.gi",
+                        "line": 396
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PrintObj: for projection from a direct product",
+                    "filters": [
+                        [
+                            "IsProjectionDirectProductMatrixGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdmat.gi",
+                        "line": 247
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PrintObj: for embedding into direct product",
+                    "filters": [
+                        [
+                            "IsEmbeddingDirectProductMatrixGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdmat.gi",
+                        "line": 124
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PrintObj: for embedding into wreath product",
+                    "filters": [
+                        [
+                            "IsEmbeddingWreathProductPermGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 785
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PrintObj: for projection from subdirect product",
+                    "filters": [
+                        [
+                            "IsProjectionSubdirectProductPermGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 532
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PrintObj: for projection from a direct product",
+                    "filters": [
+                        [
+                            "IsProjectionDirectProductPermGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 341
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PrintObj: for embedding into direct product",
+                    "filters": [
+                        [
+                            "IsEmbeddingDirectProductPermGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 224
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PrintObj: method for a PcGroupHomomorphisms",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsPcGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghompcgs.gi",
+                        "line": 648
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PrintObj: for nat. hom. of pc group",
+                    "filters": [
+                        [
+                            "IsNaturalHomomorphismPcGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghompcgs.gi",
+                        "line": 595
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PrintObj: for conjugator isomorphism",
+                    "filters": [
+                        [
+                            "IsConjugatorIsomorphism",
+                            "Tester(IsConjugatorIsomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 1259
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PrintObj: for an ring g.m.b.i",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsRingGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 134
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PrintObj: for a left module m.b.m.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearMappingByMatrixDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1270
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PrintObj: for a left module g.m.b.i",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 538
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PrintObj: for free left module",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modfree.gi",
+                        "line": 540
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PrintObj: for a magma with zero adjoined",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsMagmaWithZeroAdjoined"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmadj.gi",
+                        "line": 188
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PrintObj: for a Brauer table",
+                    "filters": [
+                        [
+                            "IsBrauerTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 4466
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "PrintObj: for an ordinary table",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 4451
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "PrintObj: for action homomorphism",
+                    "filters": [
+                        [
+                            "IsActionHomomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 805
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "PrintObj: for a inverse semigroup with known generators",
+                    "filters": [
+                        [
+                            "IsInverseSemigroup",
+                            "Tester(IsInverseSemigroup)",
+                            "Tester(GeneratorsOfInverseSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/invsgp.gi",
+                        "line": 373
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "PrintObj: for a right magma congruence",
+                    "filters": [
+                        [
+                            "IsRightMagmaCongruence"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 52
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "PrintObj: for a left magma congruence",
+                    "filters": [
+                        [
+                            "IsLeftMagmaCongruence"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 33
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "PrintObj: for a Rees 0-matrix semigroup",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsReesZeroMatrixSemigroup",
+                            "Tester(IsReesZeroMatrixSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 428
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "PrintObj: for a Rees matrix semigroup",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsReesMatrixSemigroup",
+                            "Tester(IsReesMatrixSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 416
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "PrintObj: for GHBI",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 918
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "PrintObj: combinatorial collector rep (32 Bits, up to date)",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is32BitsSingleCollectorRep",
+                            "IsCombinatorialCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspccoc.gi",
+                        "line": 584
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "PrintObj: combinatorial collector rep (16 Bits, up to date)",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is16BitsSingleCollectorRep",
+                            "IsCombinatorialCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspccoc.gi",
+                        "line": 555
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "PrintObj: combinatorial collector rep (8 Bits, up to date)",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is8BitsSingleCollectorRep",
+                            "IsCombinatorialCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspccoc.gi",
+                        "line": 526
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "PrintObj: for monoid with known generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "Tester(GeneratorsOfMagmaWithOne)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/monoid.gi",
+                        "line": 33
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "PrintObj: for an equivalence relation",
+                    "filters": [
+                        [
+                            "IsEquivalenceRelation",
+                            "Tester(IsEquivalenceRelation)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1963
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsUnicodeCharacter"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/UnicodeTools.gi",
+                        "line": 464
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "PrintObj: modulo pcgs",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 126
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "PrintObj: combinatorial collector rep (32 Bits)",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "Is32BitsSingleCollectorRep",
+                            "IsCombinatorialCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspccoc.gi",
+                        "line": 569
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "PrintObj: combinatorial collector rep (16 Bits)",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "Is16BitsSingleCollectorRep",
+                            "IsCombinatorialCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspccoc.gi",
+                        "line": 540
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "PrintObj: combinatorial collector rep (8 Bits)",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "Is8BitsSingleCollectorRep",
+                            "IsCombinatorialCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspccoc.gi",
+                        "line": 511
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "PrintObj: combinatorial collector (up to date)",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "IsCombinatorialCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspccoc.gi",
+                        "line": 497
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is32BitsSingleCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcsng.gi",
+                        "line": 1459
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is16BitsSingleCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcsng.gi",
+                        "line": 1433
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is8BitsSingleCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcsng.gi",
+                        "line": 1407
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "PrintObj: combinatorial collector",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsCombinatorialCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspccoc.gi",
+                        "line": 483
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "Is32BitsSingleCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcsng.gi",
+                        "line": 1446
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "Is16BitsSingleCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcsng.gi",
+                        "line": 1420
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "Is8BitsSingleCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcsng.gi",
+                        "line": 1394
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "IsSingleCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcsng.gi",
+                        "line": 1381
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "PrintObj: for mapping by function with inverse",
+                    "filters": [
+                        [
+                            "IsMappingByFunctionWithInverseRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 828
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "PrintObj: for a subsemigroup of a Rees 0-matrix semigroup",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsReesZeroMatrixSemigroupElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 404
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "PrintObj: for a subsemigroup of a Rees matrix semigroup",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsReesMatrixSemigroupElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 373
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsSingleCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcsng.gi",
+                        "line": 1368
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "PrintObj: zmodnze : for full collection Z/nZ(m)",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "CategoryCollections(IsZmodnZepsObj)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 121
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "PrintObj: for element in Z/pZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 135
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "PrintObj: for unknown in default representation",
+                    "filters": [
+                        [
+                            "IsUnknown",
+                            "IsUnknownDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/unknown.gi",
+                        "line": 84
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "PrintObj: for a semigroup ideal with known generators",
+                    "filters": [
+                        [
+                            "IsLeftActedOnBySuperset",
+                            "IsRightActedOnBySuperset",
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagmaIdeal)",
+                            "IsSemigroupIdeal",
+                            "Tester(IsSemigroupIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/smgideal.gi",
+                        "line": 425
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "PrintObj: for semigroup homomorphism by images",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSPGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "IsSemigroupHomomorphismByImagesRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 1332
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "PrintObj: for group general mapping b.i.",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 908
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "PrintObj: for large finite field elements (use String)",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 239
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "PrintObj: AlgElm",
+                    "filters": [
+                        [
+                            "IsKroneckerConstRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 339
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "PrintObj: BFElm",
+                    "filters": [
+                        [
+                            "IsAlgBFRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 332
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "PrintObj: laurent polynomial",
+                    "filters": [
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1270
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "PrintObj: for an add. magma-with-inverses with generators",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfNearAdditiveGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 52
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "PrintObj: for a semigroup ideal",
+                    "filters": [
+                        [
+                            "IsLeftActedOnBySuperset",
+                            "IsRightActedOnBySuperset",
+                            "IsMagma",
+                            "IsSemigroupIdeal",
+                            "Tester(IsSemigroupIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/smgideal.gi",
+                        "line": 418
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "PrintObj: for a Molien series",
+                    "filters": [
+                        [
+                            "IsRationalFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)",
+                            "Tester(MolienSeriesInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmoli.gi",
+                        "line": 673
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "PrintObj: RightCoset",
+                    "filters": [
+                        [
+                            "IsRightCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 427
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "PrintObj: for element in Z/nZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 128
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "PrintObj: for a semigroup with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 387
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "PrintObj: for a magma ideal with known generators",
+                    "filters": [
+                        [
+                            "IsLeftActedOnBySuperset",
+                            "IsRightActedOnBySuperset",
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagmaIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gi",
+                        "line": 73
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "PrintObj: for -infinity",
+                    "filters": [
+                        [
+                            "IsNegInfinity"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 506
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "PrintObj: for infinity",
+                    "filters": [
+                        [
+                            "IsInfinity"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 479
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "PrintObj: for a plist matrix",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1263
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "PrintObj: for GF2 matrix",
+                    "filters": [
+                        [
+                            "IsGF2MatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 666
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "PrintObj: univar",
+                    "filters": [
+                        [
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1333
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "PrintObj: for an add. magma-with-zero with generators",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveMagmaWithZero",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfNearAdditiveMagmaWithZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 40
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "PrintObj: for a magma ideal",
+                    "filters": [
+                        [
+                            "IsLeftActedOnBySuperset",
+                            "IsRightActedOnBySuperset",
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gi",
+                        "line": 65
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "PrintObj: for a direct product element",
+                    "filters": [
+                        [
+                            "IsDirectProductElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 160
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsPowerConjugateCollector",
+                            "IsDeepThoughtCollectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwsdt.gi",
+                        "line": 396
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsPadicExtensionNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 896
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsPurePadicNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 471
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "PrintObj: polynomial",
+                    "filters": [
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 611
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "PrintObj: for a right magma ideal with known generators",
+                    "filters": [
+                        [
+                            "IsRightActedOnBySuperset",
+                            "Tester(GeneratorsOfExtRSet)",
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gi",
+                        "line": 54
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "PrintObj: for a left magma ideal with known generators",
+                    "filters": [
+                        [
+                            "IsLeftActedOnBySuperset",
+                            "Tester(GeneratorsOfExtLSet)",
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gi",
+                        "line": 36
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "PrintObj: for mapping by function",
+                    "filters": [
+                        [
+                            "IsMappingByFunctionRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 796
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "PrintObj: for floats",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 449
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "PrintObj: zmodnze : for element in Z/nZ(m) (ZmodnZepsRep)",
+                    "filters": [
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 138
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "PrintObj: rational function",
+                    "filters": [
+                        [
+                            "IsRationalFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 605
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "PrintObj: for an add. magma with generators",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfNearAdditiveMagma)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 28
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "PrintObj: for a right magma ideal",
+                    "filters": [
+                        [
+                            "IsRightActedOnBySuperset",
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gi",
+                        "line": 46
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "PrintObj: for a left magma ideal",
+                    "filters": [
+                        [
+                            "IsLeftActedOnBySuperset",
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gi",
+                        "line": 28
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsPowerCommutatorCollector"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcclt.gi",
+                        "line": 397
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsPowerConjugateCollector"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcclt.gi",
+                        "line": 388
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "PrintObj: for UEALattice element",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsUEALatticeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 1427
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "PrintObj: for an additive coset",
+                    "filters": [
+                        [
+                            "IsAdditiveCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addcoset.gi",
+                        "line": 267
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "PrintObj: for an add. magma",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 21
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "PrintObj: for a binary relation on  n points",
+                    "filters": [
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1388
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsConjugacyClassSubgroupsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grplatt.gi",
+                        "line": 193
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsRationalClassGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 527
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsConjugacyClassGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 181
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsPolycyclicCollector"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcclt.gi",
+                        "line": 379
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "PrintObj: for a plist vector",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 157
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "PrintObj: for GF2 vector",
+                    "filters": [
+                        [
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 218
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "PrintObj: for s. c. ring element",
+                    "filters": [
+                        [
+                            "IsSCRingObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 113
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "PrintObj: for symmetric elements",
+                    "filters": [
+                        [
+                            "IsSymmetricPowerElement",
+                            "IsMonomialElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 2505
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "PrintObj: for wedge elements",
+                    "filters": [
+                        [
+                            "IsWedgeElement",
+                            "IsMonomialElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 2170
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "PrintObj: for tensor elements",
+                    "filters": [
+                        [
+                            "IsTensorElement",
+                            "IsMonomialElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 1795
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "PrintObj: for s. c. algebra element",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 194
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "PrintObj: fp algebra elements",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsElementOfFpAlgebra"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 463
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "PrintObj: for magma ring element",
+                    "filters": [
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 233
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "PrintObj: for a mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 124
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "PrintObj: for external orbit",
+                    "filters": [
+                        [
+                            "IsExternalOrbit"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 374
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "PrintObj: pcword",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "IsNBitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcgrp.gi",
+                        "line": 207
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsRewritingSystem",
+                            "IsBuiltFromGroup",
+                            "Tester(IsBuiltFromGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rws.gi",
+                        "line": 119
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "PrintObj: for weight rep element",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsWeightRepElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 2755
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "PrintObj: for direct sum elements",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsDirectSumElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 3238
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "PrintObj: for algebra module element in packed representation",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsAlgebraModuleElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 614
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "PrintObj: method for a subspaces domain",
+                    "filters": [
+                        [
+                            "IsSubspacesVectorSpace",
+                            "IsSubspacesVectorSpaceDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gi",
+                        "line": 407
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "PrintObj: for a semi-echelonized basis with basis vectors",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsSemiEchelonized",
+                            "Tester(IsSemiEchelonized)",
+                            "Tester(BasisVectors)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 232
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "PrintObj: method for a weak pointer object",
+                    "filters": [
+                        [
+                            "IsWeakPointerObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wpobj.gi",
+                        "line": 115
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "PrintObj: for an element of an f.p. group (default repres.)",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsElementOfFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 45
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "PrintObj: sliced perm",
+                    "filters": [
+                        [
+                            "IsSlicedPermInv"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbcbckt.gi",
+                        "line": 132
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "PrintObj: sliced perm",
+                    "filters": [
+                        [
+                            "IsSlicedPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbcbckt.gi",
+                        "line": 109
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "PrintObj: for external subset",
+                    "filters": [
+                        [
+                            "IsExternalSubset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 247
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "PrintObj: for a semi-echelonized basis",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsSemiEchelonized",
+                            "Tester(IsSemiEchelonized)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 239
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "PrintObj: for right transversal",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsRightTransversalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2516
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwsgrp.gi",
+                        "line": 61
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "PrintObj: for a cochain",
+                    "filters": [
+                        [
+                            "IsCochain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 102
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "PrintObj: for a sparse rowspace element",
+                    "filters": [
+                        [
+                            "IsSparseRowSpaceElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 2839
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "PrintObj: for a basis with basis vectors",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "Tester(BasisVectors)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 215
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsUnicodeString"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/UnicodeTools.gi",
+                        "line": 588
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "PrintObj: for a Green's class",
+                    "filters": [
+                        [
+                            "IsGreensClass"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 47
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "PrintObj: for a partial perm",
+                    "filters": [
+                        [
+                            "IsPartialPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pperm.gi",
+                        "line": 622
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "PrintObj: wreath elements",
+                    "filters": [
+                        [
+                            "IsWreathProductElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 891
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "PrintObj: for element of magma by mult. table",
+                    "filters": [
+                        [
+                            "IsMagmaByMultiplicationTableObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grptbl.gi",
+                        "line": 36
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "PrintObj: for sparse hash tables",
+                    "filters": [
+                        [
+                            "IsSparseHashRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 654
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "PrintObj: for dense hash tables",
+                    "filters": [
+                        [
+                            "IsDenseHashRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 496
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "PrintObj: for a basis",
+                    "filters": [
+                        [
+                            "IsBasis"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 222
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "PrintObj: for an element of a magma with zero adjoined",
+                    "filters": [
+                        [
+                            "IsMagmaWithZeroAdjoinedElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmadj.gi",
+                        "line": 279
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "PrintObj: for a general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 111
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "PrintObj: for an enumerator that perhaps has its own `PrintObj' function",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsDenseList",
+                            "IsDuplicateFree",
+                            "Tester(IsDuplicateFree)",
+                            "IsEnumeratorByFunctionsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 540
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsMonoidByAdjoiningIdentityElt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/adjoin.gi",
+                        "line": 165
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "PrintObj: for an fp monoid element",
+                    "filters": [
+                        [
+                            "IsElementOfFpMonoid"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpmon.gi",
+                        "line": 126
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "PrintObj: External Set",
+                    "filters": [
+                        [
+                            "IsExternalSet"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 145
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "PrintObj: assoc word in letter rep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsLetterAssocWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 289
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "PrintObj: for an eq. class",
+                    "filters": [
+                        [
+                            "IsEquivalenceClass"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 2087
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "PrintObj: iostream",
+                    "filters": [
+                        [
+                            "IsInputOutputStream",
+                            "IsInputOutputStreamByPtyRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/streams.gi",
+                        "line": 1436
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "PrintObj: for a Rees 0-matrix semigroup element",
+                    "filters": [
+                        [
+                            "IsReesZeroMatrixSemigroupElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 817
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "PrintObj: for a Rees matrix semigroup element",
+                    "filters": [
+                        [
+                            "IsReesMatrixSemigroupElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 801
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "PrintObj: for an f.p. semigroup element",
+                    "filters": [
+                        [
+                            "IsElementOfFpSemigroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpsemi.gi",
+                        "line": 113
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "PrintObj: for a presentation in default representation",
+                    "filters": [
+                        [
+                            "IsPresentation",
+                            "IsPresentationDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tietze.gi",
+                        "line": 380
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "PrintObj: for an associative word",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 304
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "PrintObj: for a nonassociative word",
+                    "filters": [
+                        [
+                            "IsNonassocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/word.gi",
+                        "line": 191
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "PrintObj: wrapped additive elements",
+                    "filters": [
+                        [
+                            "IsAdditiveElementAsMultiplicativeElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 741
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "PrintObj: for an infinite list of generators",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsInfiniteListOfGeneratorsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 1218
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "PrintObj: for an infinite list of names",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsInfiniteListOfNamesRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 1087
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "PrintObj: for an enumerator",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsAttributeStoringRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 386
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "PrintObj: lattice",
+                    "filters": [
+                        [
+                            "IsLatticeSubgroupsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grplatt.gi",
+                        "line": 1250
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "PrintObj: for mutable basis with underlying mutable basis",
+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisViaUnderlyingMutableBasisRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 545
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "PrintObj: for a mutable basis of a Gaussian matrix space",
+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisOfGaussianMatrixSpaceRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcmat.gi",
+                        "line": 985
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "PrintObj: for a mutable basis of a Gaussian row space",
+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisOfGaussianRowSpaceRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 1501
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "PrintObj: for mutable basis represented by a nice mutable basis",
+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisViaNiceMutableBasisRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basismut.gi",
+                        "line": 356
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "PrintObj: for mutable basis represented by an immutable basis",
+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisByImmutableBasisRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basismut.gi",
+                        "line": 176
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "PrintObj: for an iterator that perhaps has its own `PrintObj' function",
+                    "filters": [
+                        [
+                            "IsIterator",
+                            "IsIteratorByFunctionsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 1041
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsRewritingSystem"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rws.gi",
+                        "line": 108
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsRandomSource"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/random.gi",
+                        "line": 66
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "PrintObj: output text none",
+                    "filters": [
+                        [
+                            "IsOutputTextNoneRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/streams.gi",
+                        "line": 1253
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "PrintObj: output text file",
+                    "filters": [
+                        [
+                            "IsOutputTextFileRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/streams.gi",
+                        "line": 1128
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "PrintObj: output text string",
+                    "filters": [
+                        [
+                            "IsOutputTextStringRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/streams.gi",
+                        "line": 976
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "PrintObj: input text none",
+                    "filters": [
+                        [
+                            "IsInputTextNoneRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/streams.gi",
+                        "line": 841
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "PrintObj: input text file",
+                    "filters": [
+                        [
+                            "IsInputTextFileRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/streams.gi",
+                        "line": 709
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "PrintObj: input text string",
+                    "filters": [
+                        [
+                            "IsInputTextStringRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/streams.gi",
+                        "line": 482
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "PrintObj: default directory rep",
+                    "filters": [
+                        [
+                            "IsDirectoryRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/files.gi",
+                        "line": 95
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "PrintObj: for an info class",
+                    "filters": [
+                        [
+                            "IsInfoClassListRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/info.gi",
+                        "line": 202
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "PrintObj: for an operation",
+                    "filters": [
+                        [
+                            "IsOperation"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gd",
+                        "line": 444
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/PrintUtil.gi",
+                        "line": 210
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "PrintObj: IsObjToBePrinted",
+                    "filters": [
+                        [
+                            "IsObjToBePrinted"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/PrintUtil.gi",
+                        "line": 19
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "PrintObj: for a straight line program",
+                    "filters": [
+                        [
+                            "IsStraightLineProgram"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 594
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "PrintObj",
+                    "filters": [
+                        [
+                            "IsTableOfMarks"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 1033
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "PrintObj: for a root system",
+                    "filters": [
+                        [
+                            "IsRootSystem"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 2804
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "PrintObj: closed stream",
+                    "filters": [
+                        [
+                            "IsClosedStream"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/streams.gi",
+                        "line": 60
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "PrintObj: for an iterator",
+                    "filters": [
+                        [
+                            "IsIterator"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 86
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "PrintObj: record",
+                    "filters": [
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/record.g",
+                        "line": 243
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "PrintObj: for 'to be defined' objects",
+                    "filters": [
+                        [
+                            "IsToBeDefinedObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/variable.g",
+                        "line": 60
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "PRINT_OBJ: for a type",
+                    "filters": [
+                        [
+                            "IsType"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/type.g",
+                        "line": 582
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "PRINT_OBJ: for a family",
+                    "filters": [
+                        [
+                            "IsFamily"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/type.g",
+                        "line": 552
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "PrintObj: default method delegating to PrintString",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 163
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PrintObj",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PrintString"
+        ],
+        "filters": [
+            [
+                []
+            ],
+            [
+                [],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 485
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 486
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "PrintString: for a group with generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagmaWithInverses)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 3962
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "PrintString: for a inverse monoid with known generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsInverseSemigroup",
+                            "Tester(IsInverseSemigroup)",
+                            "Tester(GeneratorsOfInverseMonoid)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/invsgp.gi",
+                        "line": 442
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "PrintString: for a inverse semigroup with known generators",
+                    "filters": [
+                        [
+                            "IsInverseSemigroup",
+                            "Tester(IsInverseSemigroup)",
+                            "Tester(GeneratorsOfInverseSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/invsgp.gi",
+                        "line": 389
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "PrintString: for monoid with known generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "Tester(GeneratorsOfMagmaWithOne)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/monoid.gi",
+                        "line": 49
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "PrintString: for a magma-with-inverses with generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagmaWithInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 56
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "PrintString: RightCoset",
+                    "filters": [
+                        [
+                            "IsRightCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 422
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "PrintString: for a semigroup with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 402
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "PrintString: for a magma-with-one with generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "Tester(GeneratorsOfMagmaWithOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 44
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "PrintString: for a magma with generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 32
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "PrintString: for a magma",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 24
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "PrintString: for right transversal",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsRightTransversalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2523
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "PrintString: for a Green's class",
+                    "filters": [
+                        [
+                            "IsGreensClass"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 73
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "PrintString: for a partial perm",
+                    "filters": [
+                        [
+                            "IsPartialPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pperm.gi",
+                        "line": 612
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "PrintString: for a transformation",
+                    "filters": [
+                        [
+                            "IsTransformation"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/trans.gi",
+                        "line": 414
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "PrintString: default method delegating to String",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 171
+                    },
+                    "rank": -1
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "PrintString: for an object, and zero",
+                    "filters": [
+                        [],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 293
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "PrintString: for an object, and a negative integer",
+                    "filters": [
+                        [],
+                        [
+                            "IsInt",
+                            "IsNegRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 281
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "PrintString: for an object, and a positive integer",
+                    "filters": [
+                        [],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 248
+                    },
+                    "rank": 19
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PrintString",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "Display"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 548
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Display: for matrix of FFEs (for larger fields)",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "CategoryCollections(CategoryCollections(IsFFE))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 1645
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "Display: for matrix of FFEs",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "CategoryCollections(CategoryCollections(IsFFE))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 636
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "Display: for matrix over Integers mod n",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "CategoryCollections(CategoryCollections(IsZmodnZObjNonprime))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 650
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "Display: for finitely presented groups",
+                    "filters": [
+                        [
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1502
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "Display: for a class function",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 1162
+                    },
+                    "rank": 31
+                },
+                {
+                    "aka": [
+                        "PrintArray"
+                    ],
+                    "comment": "Display: for a matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 110
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "Display: for a nearly character table",
+                    "filters": [
+                        [
+                            "IsNearlyCharacterTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 5079
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "Display: For large finite field elements",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 279
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "Display: for a plist matrix",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1281
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "Display: for floats",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 444
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "Display: for a plist vector",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 182
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "Display: for vector search tables in default representation",
+                    "filters": [
+                        [
+                            "IsVectorSearchTableDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 2493
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "Display: for a (finite) list",
+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 283
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Display: for a straight line program",
+                    "filters": [
+                        [
+                            "IsStraightLineProgram"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 380
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "Display: for a table of marks (add empty options record)",
+                    "filters": [
+                        [
+                            "IsTableOfMarks"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 1045
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "Display: generic: use DisplayString or otherwise PrintObj",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 632
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "Display: for a class function, and a record",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 1171
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "Display: for a nearly character table, and a list",
+                    "filters": [
+                        [
+                            "IsNearlyCharacterTable"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 5086
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "Display: for a nearly character table, and a record",
+                    "filters": [
+                        [
+                            "IsNearlyCharacterTable"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 5097
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "Display: for a straight line program, and a record",
+                    "filters": [
+                        [
+                            "IsStraightLineProgram"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 480
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Display: for a table of marks and an options record",
+                    "filters": [
+                        [
+                            "IsTableOfMarks"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 1130
+                    },
+                    "rank": 2
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Display",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "DisplayString"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 572
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "DisplayString: for a partial perm semigroup with generators",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPartialPerm)",
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/trans.gi",
+                        "line": 375
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "DisplayString: for a transformation semigroup with generators",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsTransformation)",
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/trans.gi",
+                        "line": 375
+                    },
+                    "rank": 20
+                },
+                {
+                    "aka": [
+                        "DisplayStringForLargeFiniteFieldElements"
+                    ],
+                    "comment": "DisplayString: For large finite field elements",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 273
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "DisplayString: for an internal FFE via String",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 956
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "DisplayString: for floats",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 451
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "DisplayString: for a transformation",
+                    "filters": [
+                        [
+                            "IsTransformation"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/trans.gi",
+                        "line": 375
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "DisplayString: IsList",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsFinite",
+                            "Tester(IsFinite)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/string.gi",
+                        "line": 506
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "DisplayString: IsChar",
+                    "filters": [
+                        [
+                            "IsChar"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/string.gi",
+                        "line": 486
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "DisplayString: generic: return default string",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 648
+                    },
+                    "rank": -1
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "DisplayString",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsInternallyConsistent"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 598
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsInternallyConsistent: for a Brauer table",
+                    "filters": [
+                        [
+                            "IsBrauerTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 3694
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "IsInternallyConsistent: for an ordinary character table",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 3560
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "IsInternallyConsistent: for a straight line program",
+                    "filters": [
+                        [
+                            "IsStraightLineProgram"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 577
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "IsInternallyConsistent: for a table of marks, decomposition test",
+                    "filters": [
+                        [
+                            "IsTableOfMarks"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 1975
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "IsInternallyConsistent: default method 'ReturnTrue'",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 477
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsInternallyConsistent",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 619
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsImpossible: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsImpossible)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gd",
+                        "line": 619
+                    },
+                    "rank": 20003
+                },
+                {
+                    "comment": "IsImpossible",
+                    "filters": [
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsLieMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 29
+                    },
+                    "rank": 33
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsImpossible",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsImpossible"
+        ],
+        "filters": [
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 619
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsImpossible): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gd",
+                        "line": 619
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsImpossible): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gd",
+                        "line": 619
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsImpossible)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasIsImpossible"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 619
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsImpossible)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ExtRepOfObj"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 634
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ExtRepOfObj: for a straight line program word",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsStraightLineProgElm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1980
+                    },
+                    "rank": 109
+                },
+                {
+                    "aka": [
+                        "32Bits_ExtRepOfObj"
+                    ],
+                    "comment": "ExtRepOfObj: using 32Bits_ExtRepOfObj",
+                    "filters": [
+                        [
+                            "Is32BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 637
+                    },
+                    "rank": 103
+                },
+                {
+                    "aka": [
+                        "16Bits_ExtRepOfObj"
+                    ],
+                    "comment": "ExtRepOfObj: using 16Bits_ExtRepOfObj",
+                    "filters": [
+                        [
+                            "Is16BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 544
+                    },
+                    "rank": 103
+                },
+                {
+                    "aka": [
+                        "8Bits_ExtRepOfObj"
+                    ],
+                    "comment": "ExtRepOfObj: using 8Bits_ExtRepOfObj",
+                    "filters": [
+                        [
+                            "Is8BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 451
+                    },
+                    "rank": 103
+                },
+                {
+                    "aka": [
+                        "COEFFS_CYC"
+                    ],
+                    "comment": "ExtRepOfObj: for an internal cyclotomic",
+                    "filters": [
+                        [
+                            "IsCyc",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.gi",
+                        "line": 178
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "ExtRepOfObj: for element in Z/nZ (ModulusRep, nonprime)",
+                    "filters": [
+                        [
+                            "IsZmodnZObjNonprime",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 115
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "ExtRepOfObj: ExtElm",
+                    "filters": [
+                        [
+                            "IsAlgebraicElement",
+                            "IsKroneckerConstRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 274
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "ExtRepOfObj: baseFieldElm",
+                    "filters": [
+                        [
+                            "IsAlgebraicElement",
+                            "IsAlgBFRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 268
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "ExtRepOfObj: for s. c. ring element in dense coeff. vector rep.",
+                    "filters": [
+                        [
+                            "IsSCRingObj",
+                            "IsDenseCoeffVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 52
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "ExtRepOfObj: for s. c. algebra element in dense coeff. vector rep.",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj",
+                            "IsDenseCoeffVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 134
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "ExtRepOfObj: for floats",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 412
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "ExtRepOfObj: for f.p. algebra element",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsElementOfFpAlgebra"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 55
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "ExtRepOfObj: for magma ring element",
+                    "filters": [
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1374
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "ExtRepOfObj: for weight rep element",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsWeightRepElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 2728
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "ExtRepOfObj: for an UEALattice element",
+                    "filters": [
+                        [
+                            "IsUEALatticeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 1372
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "ExtRepOfObj: for a cochain",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsCochain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 88
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "ExtRepOfObj: for a direct sum element",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsDirectSumElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 3258
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "ExtRepOfObj: for a sparse rowspace element",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsSparseRowSpaceElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 2816
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "ExtRepOfObj: for a monomial element",
+                    "filters": [
+                        [
+                            "IsMonomialElement",
+                            "IsMonomialElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 1344
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "ExtRepOfObj: for algebra module element in packed element rep",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsAlgebraModuleElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 87
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "ExtRepOfObj: for an element of an f.p. group (default repres.)",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsElementOfFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 89
+                    },
+                    "rank": 9
+                },
+                {
+                    "aka": [
+                        "InfBits_ExtRepOfObj"
+                    ],
+                    "comment": "ExtRepOfObj: for a inf. bits assoc. word",
+                    "filters": [
+                        [
+                            "IsInfBitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 731
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "ExtRepOfObj: for a 32 bits assoc. word",
+                    "filters": [
+                        [
+                            "Is32BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 637
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "ExtRepOfObj: for a 16 bits assoc. word",
+                    "filters": [
+                        [
+                            "Is16BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 544
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "ExtRepOfObj: for an 8 bits assoc. word",
+                    "filters": [
+                        [
+                            "Is8BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 451
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "ExtRepOfObj: for a nonassoc. word",
+                    "filters": [
+                        [
+                            "IsNonassocWord",
+                            "IsBracketRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/word.gi",
+                        "line": 257
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "ExtRepOfObj",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwsgrp.gi",
+                        "line": 89
+                    },
+                    "rank": 6
+                },
+                {
+                    "aka": [
+                        "ERepLettWord"
+                    ],
+                    "comment": "ExtRepOfObj: assoc word in letter rep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsLetterAssocWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 166
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ExtRepOfObj",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "NonassocWord",
+            "ObjByExtRep"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/object.gd",
+                "line": 650
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ObjByExtRep: for floats",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsFloat)"
+                        ],
+                        [
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 434
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "ObjByExtRep: for family of elements in Z/nZ (nonprime), and integer",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsZmodnZObjNonprime)"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 105
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ObjByExtRep: for a family of nonassociative words, and an integer",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsNonassocWord)"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/word.gi",
+                        "line": 238
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "ObjByExtRep: baseFieldElm",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsAlgebraicElement)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 286
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "ObjByExtRep: for s. c. alg. elms. family with coefficients family",
+                    "filters": [
+                        [
+                            "IsFamilyOverFullCoefficientsFamily",
+                            "CategoryFamily(IsSCAlgebraObj)"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 124
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "ObjByExtRep: for a InfBits-family of associative words, and a homogeneous list",
+                    "filters": [
+                        [
+                            "CategoryFamily((IsWord and IsAssociativeElement))",
+                            "IsInfBitsFamily"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 400
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "ObjByExtRep: for a 32Bits-family of associative words, and a homogeneous list",
+                    "filters": [
+                        [
+                            "CategoryFamily((IsWord and IsAssociativeElement))",
+                            "Is32BitsFamily"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 392
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "ObjByExtRep: for a 16Bits-family of associative words, and a homogeneous list",
+                    "filters": [
+                        [
+                            "CategoryFamily((IsWord and IsAssociativeElement))",
+                            "Is16BitsFamily"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 384
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "ObjByExtRep: for a 8Bits-family of associative words, and a homogeneous list",
+                    "filters": [
+                        [
+                            "CategoryFamily((IsWord and IsAssociativeElement))",
+                            "Is8BitsFamily"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 376
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "ObjByExtRep: for s. c. ring elements family",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsSCRingObj)"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 44
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "ObjByExtRep: for s. c. algebra elements family",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsSCAlgebraObj)"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 109
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "ObjByExtRep: letter rep family",
+                    "filters": [
+                        [
+                            "CategoryFamily((IsWord and IsAssociativeElement))",
+                            "IsLetterWordsFamily"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 109
+                    },
+                    "rank": 7
+                },
+                {
+                    "aka": [
+                        "SyllableWordObjByExtRep"
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+                    "filters": [
+                        [
+                            "CategoryFamily((IsWord and IsAssociativeElement))",
+                            "IsSyllableWordsFamily"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 361
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "ObjByExtRep: ExtElm",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsAlgebraicElement)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 299
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "ObjByExtRep: for family of f.p. algebra elements with normal form",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsElementOfFpAlgebra)",
+                            "Tester(NiceNormalFormByExtRepFunction)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 69
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "ObjByExtRep: for family of UEALattice elements, and list",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsUEALatticeElement)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 1363
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "ObjByExtRep: for magma ring elements family, and list",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsElementOfMagmaRingModuloRelations)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1400
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "ObjByExtRep: using 32Bits_AssocWord",
+                    "filters": [
+                        [
+                            "IsElementsFamilyBy32BitsSingleCollector"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcgrp.gi",
+                        "line": 833
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "ObjByExtRep: using 16Bits_AssocWord",
+                    "filters": [
+                        [
+                            "IsElementsFamilyBy16BitsSingleCollector"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcgrp.gi",
+                        "line": 662
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "ObjByExtRep: using 8Bits_AssocWord",
+                    "filters": [
+                        [
+                            "IsElementsFamilyBy8BitsSingleCollector"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcgrp.gi",
+                        "line": 491
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "ObjByExtRep: for a family of nonassociative words, and a list",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsNonassocWord)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/word.gi",
+                        "line": 246
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "ObjByExtRep: for a family of weight rep elements and a list",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsWeightRepElement)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 2719
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "ObjByExtRep: for a family of direct sum elements and a list",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsDirectSumElement)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 3251
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "ObjByExtRep: for a sparse rowspace element family and a list",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsSparseRowSpaceElement)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 2809
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "ObjByExtRep: for a family of monomial elements and a list",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsMonomialElement)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 1337
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "ObjByExtRep: for algebra module elements family, object",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsAlgebraModuleElement)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 104
+                    },
+                    "rank": 2
+                }
+            ],
+            "3args": [],
+            "4args": [
+                {
+                    "comment": "ObjByExtRep: for a 32 bits assoc. words family, two integers, and a list",
+                    "filters": [
+                        [
+                            "CategoryFamily((IsWord and IsAssociativeElement))",
+                            "Is32BitsFamily"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 950
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ObjByExtRep: for a 16 bits assoc. words family, two integers, and a list",
+                    "filters": [
+                        [
+                            "CategoryFamily((IsWord and IsAssociativeElement))",
+                            "Is16BitsFamily"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 941
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ObjByExtRep: for an 8 bits assoc. words family, two integers, and a list",
+                    "filters": [
+                        [
+                            "CategoryFamily((IsWord and IsAssociativeElement))",
+                            "Is8BitsFamily"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 932
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ObjByExtRep: letter rep family,integers (ignored)",
+                    "filters": [
+                        [
+                            "CategoryFamily((IsWord and IsAssociativeElement))",
+                            "IsLetterWordsFamily"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 115
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "ObjByExtRep: for an inf. bits assoc. words family, two integers, and a list",
+                    "filters": [
+                        [
+                            "CategoryFamily((IsWord and IsAssociativeElement))",
+                            "IsInfBitsFamily"
+                        ],
+                        [
+                            "IsCyclotomic"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 959
+                    },
+                    "rank": 41
+                },
+                {
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+                    "filters": [
+                        [
+                            "CategoryFamily((IsWord and IsAssociativeElement))",
+                            "IsSyllableWordsFamily"
+                        ],
+                        [
+                            "IsCyclotomic"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 440
+                    },
+                    "rank": 40
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "KnownAttributesOfObject"
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+        "filters": [
+            [
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+                "line": 676
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+            "1args": [
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+                    "filters": [
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/object.gi",
+                        "line": 502
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+                    "rank": 0
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
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+    {
+        "aka": [
+            "KnownPropertiesOfObject"
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+        "filters": [
+            [
+                []
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+        ],
+        "locations": [
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+                "line": 694
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+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
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+                    "filters": [
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+                    "location": {
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+                        "line": 527
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+                    "rank": 0
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "KnownPropertiesOfObject",
+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+        "filters": [
+            [
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+                "line": 749
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+        "methods": {
+            "0args": [],
+            "1args": [
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+                    "filters": [
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+                },
+                {
+                    "comment": "Iterator: for a permutation group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 603
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "Iterator: for a free group",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfree.gi",
+                        "line": 106
+                    },
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+                },
+                {
+                    "comment": "Iterator: for `Integers'",
+                    "filters": [
+                        [
+                            "IsIntegers"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1607
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "Iterator: for `PositiveIntegers'",
+                    "filters": [
+                        [
+                            "IsPositiveIntegers"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1625
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "Iterator: for free left module (delegate to 'IteratorByBasis')",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modfree.gi",
+                        "line": 377
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "Iterator: more helpful error for integers",
+                    "filters": [
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1926
+                    },
+                    "rank": 19
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/monofree.gi",
+                        "line": 58
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "Iterator: for a free semigroup",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "CategoryCollections((IsWord and IsAssociativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/smgrpfre.gi",
+                        "line": 151
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsSubspacesVectorSpace",
+                            "IsSubspacesFullRowSpaceDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 1328
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsSubspacesVectorSpace",
+                            "IsSubspacesVectorSpaceDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gi",
+                        "line": 569
+                    },
+                    "rank": 10
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 906
+                    },
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+                },
+                {
+                    "aka": [
+                        "ADOPT",
+                        "ADOPT_NORECURSE",
+                        "AdoptObj",
+                        "AdoptSingleObj",
+                        "AutoReadLock",
+                        "CLONE_REACHABLE",
+                        "CopyFromRegion",
+                        "CopyRegion",
+                        "CopyToRegion",
+                        "FromAtomicComObj",
+                        "FromAtomicList",
+                        "FromAtomicRecord",
+                        "ID_FUNC",
+                        "IdFunc",
+                        "LockAndAdoptObj",
+                        "MakeProjectedObj",
+                        "MakeProtected",
+                        "MakeReadOnly",
+                        "MakeReadOnlyObj",
+                        "MakeReadOnlyRaw",
+                        "MakeStrictWriteOnceAtomic",
+                        "MakeThreadLocal",
+                        "MakeWriteOnceAtomic",
+                        "REACHABLE",
+                        "RegionSubObjects",
+                        "ShareAutoReadObj"
+                    ],
+                    "comment": "Iterator: for a mutable iterator",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsIterator"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 911
+                    },
+                    "rank": 3
+                },
+                {
+                    "aka": [
+                        "IteratorList"
+                    ],
+                    "comment": "Iterator: for a list",
+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 788
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Iterator: for a collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 901
+                    },
+                    "rank": 2
+                }
+            ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Iterator",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IteratorSorted"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1158
+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 942
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "IteratorSorted: for a list",
+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 805
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "IteratorSorted: for a collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 937
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IteratorSorted",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsDoneIterator"
+        ],
+        "filters": [
+            [
+                [
+                    "IsIterator"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1195
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsDoneIterator: primitive groups iterator",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsIterator",
+                            "IsPrimGrpIterRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/prim/primitiv.gi",
+                        "line": 545
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "IsDoneIterator: for `IsIteratorByFunctions'",
+                    "filters": [
+                        [
+                            "IsIterator",
+                            "IsIteratorByFunctionsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 988
+                    },
+                    "rank": 3
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsDoneIterator",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "NextIterator"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMutable",
+                    "IsIterator"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1243
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NextIterator: primitive groups iterator",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsIterator",
+                            "IsPrimGrpIterRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/prim/primitiv.gi",
+                        "line": 557
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "NextIterator: for `IsIteratorByFunctions'",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsIterator",
+                            "IsIteratorByFunctionsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 993
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "NextIterator: for an immutable iterator (print a reasonable error message)",
+                    "filters": [
+                        [
+                            "IsIterator"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 957
+                    },
+                    "rank": 1
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NextIterator",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1344
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsEmpty: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1344
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "IsEmpty",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "Tester(Size)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 95
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "IsEmpty: for a list",
+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 105
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "IsEmpty: for a collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 100
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsEmpty",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsEmpty"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1344
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsEmpty): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1344
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsEmpty): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1344
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsEmpty)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1344
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsEmpty)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1363
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsTrivial: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsTrivial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1363
+                    },
+                    "rank": 20005
+                },
+                {
+                    "comment": "IsTrivial: for a division ring",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 294
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "IsTrivial: for finitely presented groups",
+                    "filters": [
+                        [
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 2135
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "IsTrivial: for a FLMLOR-with-one",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2799
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "IsTrivial",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 514
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "IsTrivial: for a FLMLOR",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2786
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "IsTrivial",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "Tester(Dimension)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modfree.gi",
+                        "line": 139
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "IsTrivial: for a free left module",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modfree.gi",
+                        "line": 144
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "IsTrivial",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfNearAdditiveGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 115
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "IsTrivial",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagmaWithInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 130
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "IsTrivial",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveMagmaWithZero",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfNearAdditiveMagmaWithZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 109
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "IsTrivial",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "Tester(GeneratorsOfMagmaWithOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 120
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "IsTrivial",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "Tester(Size)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 114
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "IsTrivial",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "Tester(IsNonTrivial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 123
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "IsTrivial: for a collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 119
+                    },
+                    "rank": 2
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+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "IsTrivial",
+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+        "filters": [
+            [
+                [
+                    "IsCollection"
+                ],
+                [
+                    "IsBool"
+                ]
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+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1469
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsWholeFamily)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ],
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1505
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Size: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Size)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1505
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "Size: natural SL",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNaturalSL",
+                            "Tester(IsNaturalSL)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpffmat.gi",
+                        "line": 215
+                    },
+                    "rank": 399
+                },
+                {
+                    "comment": "Size: general linear group",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNaturalGL",
+                            "Tester(IsNaturalGL)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpffmat.gi",
+                        "line": 198
+                    },
+                    "rank": 397
+                },
+                {
+                    "comment": "Size: for groups of FFE",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsFFE)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 263
+                    },
+                    "rank": 395
+                },
+                {
+                    "comment": "Size: handled by nice monomorphism: Attribute",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 829
+                    },
+                    "rank": 370
+                },
+                {
+                    "comment": "Size",
+                    "filters": [
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 848
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "Size",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 755
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "Size: for a permutation group that knows to be a direct product",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(DirectProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 76
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "Size: for a permutation group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 487
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "Size: cyclotomic matrix group not known to be finite",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpramat.gi",
+                        "line": 366
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "Size: for a matrix group that knows to be a wreath product",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(WreathProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdmat.gi",
+                        "line": 303
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "Size: for a matrix group that knows to be a direct product",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(DirectProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdmat.gi",
+                        "line": 82
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "Size: for a free group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfree.gi",
+                        "line": 341
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "Size: pcgs computable groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcatr.gi",
+                        "line": 250
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "Size: infinite abelianization",
+                    "filters": [
+                        [
+                            "Tester(AbelianInvariants)",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 3833
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "Size: for finitely presented groups",
+                    "filters": [
+                        [
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 3804
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "Size: subgroups of finitely presented groups",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 3823
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "Size: for a group with known ordinary character table",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(OrdinaryCharacterTable)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 1570
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "Size: subdirect product",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(SubdirectProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 576
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "Size: group direct product",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(DirectProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 195
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "Size: for sc rings and their subrings",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRing)",
+                            "CategoryCollections(IsSCRingObj)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 803
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "Size: characteristic zero ring is infinite",
+                    "filters": [
+                        [
+                            "Tester(Characteristic)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 667
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "Size: for a free monoid",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/monofree.gi",
+                        "line": 133
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "Size: for a free left module",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modfree.gi",
+                        "line": 163
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "Size: for a character table",
+                    "filters": [
+                        [
+                            "IsNearlyCharacterTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 1557
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "Size: for a free semigroup",
+                    "filters": [
+                        [
+                            "IsFreeSemigroup",
+                            "Tester(IsFreeSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpsemi.gi",
+                        "line": 270
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "Size: for a free semigroup",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/smgrpfre.gi",
+                        "line": 305
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "Size: for an underlying relation of a general mapping",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain",
+                            "CategoryCollections(IsDirectProductElement)",
+                            "Tester(UnderlyingGeneralMapping)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1528
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "Size",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections((IsWord and IsAssociativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/smgrpfre.gi",
+                        "line": 324
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "Size: zmodnze : for full ring Z/nZ(m)",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "CategoryCollections(IsZmodnZepsObj)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 328
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "Size: for a Rees 0-matrix semigroup",
+                    "filters": [
+                        [
+                            "IsReesZeroMatrixSemigroup",
+                            "Tester(IsReesZeroMatrixSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 452
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "Size: for a Rees matrix semigroup",
+                    "filters": [
+                        [
+                            "IsReesMatrixSemigroup",
+                            "Tester(IsReesMatrixSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 440
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "Size: for a free magma",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "CategoryCollections(IsNonassocWord)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmfree.gi",
+                        "line": 231
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "Size: for an additive coset",
+                    "filters": [
+                        [
+                            "IsAdditiveCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addcoset.gi",
+                        "line": 160
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "Size: for a magma with a zero adjoined",
+                    "filters": [
+                        [
+                            "IsMagmaWithZeroAdjoined"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmadj.gi",
+                        "line": 207
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "Size: method for a rational class",
+                    "filters": [
+                        [
+                            "IsRationalClassGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 538
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "Size: for a conjugacy class",
+                    "filters": [
+                        [
+                            "IsConjugacyClassGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 201
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "Size: method for an ext. orbit by stabilizer",
+                    "filters": [
+                        [
+                            "IsExternalOrbitByStabilizerRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 97
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "Size: method for a subspaces domain",
+                    "filters": [
+                        [
+                            "IsSubspacesVectorSpace",
+                            "IsSubspacesVectorSpaceDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gi",
+                        "line": 501
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "Size: for a trivial domain",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsTrivial",
+                            "Tester(IsTrivial)",
+                            "IsGeneralizedDomain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/domain.gi",
+                        "line": 273
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "Size: double coset",
+                    "filters": [
+                        [
+                            "IsDoubleCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 313
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "Size: for Green's classes",
+                    "filters": [
+                        [
+                            "IsGreensClass"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 400
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "Size: for sparse hash tables",
+                    "filters": [
+                        [
+                            "IsHash",
+                            "IsSparseHashRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 662
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "Size: for dense hash tables",
+                    "filters": [
+                        [
+                            "IsDenseHashRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 506
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "Size: for a list that is a collection",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 404
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "Size",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsCollection",
+                            "Tester(AsList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 181
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "Size",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsCollection",
+                            "Tester(IsFinite)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 177
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "Size: for a list",
+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 404
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Size: for a collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 186
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Size",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetSize"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ],
+                []
+            ],
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1505
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(Size): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1505
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(Size): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1505
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(Size)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasSize"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1505
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(Size)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1545
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Representative: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Representative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1545
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "Representative: for additive-magma-with-zero with known zero",
+                    "filters": [
+                        [
+                            "Tester(ZeroImmutable)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveMagmaWithZero",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 527
+                    },
+                    "rank": 10018
+                },
+                {
+                    "comment": "Representative: for magma-with-one with known one",
+                    "filters": [
+                        [
+                            "Tester(OneImmutable)",
+                            "IsMagmaWithOne"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 877
+                    },
+                    "rank": 10016
+                },
+                {
+                    "comment": "Representative: for additive coset in default repres.",
+                    "filters": [
+                        [
+                            "IsAdditiveCoset",
+                            "IsAdditiveCosetDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addcoset.gi",
+                        "line": 66
+                    },
+                    "rank": 10014
+                },
+                {
+                    "comment": "Representative",
+                    "filters": [
+                        [
+                            "IsCyclotomicField",
+                            "Tester(IsCyclotomicField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 2117
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "Representative: for a division ring with known generators",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing",
+                            "Tester(GeneratorsOfDivisionRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 484
+                    },
+                    "rank": 53
+                },
+                {
+                    "comment": "Representative: for full matrix module",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsFullMatrixModule",
+                            "Tester(IsFullMatrixModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modulmat.gi",
+                        "line": 176
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "Representative: for full row module",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsFullRowModule",
+                            "Tester(IsFullRowModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modulrow.gi",
+                        "line": 136
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "Representative: for full hom space of linear mappings",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsGeneralMapping)",
+                            "IsFreeLeftModule",
+                            "IsFullHomModule",
+                            "Tester(IsFullHomModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1914
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "Representative: for left operator ring-with-one with known generators",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfLeftOperatorRingWithOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 32
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "Representative: for left operator ring with known generators",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfLeftOperatorRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 22
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "Representative: for a ring-with-one with generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRingWithOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 297
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "Representative: for a ring with generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 291
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "Representative: for a subsemigroup of Rees 0-matrix semigroup with generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsReesZeroMatrixSemigroupElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 482
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "Representative: for a subsemigroup of Rees matrix semigroup with generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsReesMatrixSemigroupElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 462
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "Representative: for right operator additive group with known generators",
+                    "filters": [
+                        [
+                            "IsExtRSet",
+                            "IsDistributiveROpDSum",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfRightOperatorAdditiveGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/module.gi",
+                        "line": 211
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "Representative: for left operator additive group with known generators",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsDistributiveLOpDSum",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfLeftOperatorAdditiveGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/module.gi",
+                        "line": 200
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "Representative: for a Rees 0-matrix semigroup",
+                    "filters": [
+                        [
+                            "IsReesZeroMatrixSemigroup",
+                            "Tester(IsReesZeroMatrixSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 492
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "Representative: for a Rees matrix semigroup",
+                    "filters": [
+                        [
+                            "IsReesMatrixSemigroup",
+                            "Tester(IsReesMatrixSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 472
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "Representative: for additive-magma-with-inverses with known generators",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfNearAdditiveGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 522
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "Representative: for magma-with-inverses with generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagmaWithInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 871
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "Representative: for additive-magma-with-zero with stored parent",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveMagmaWithZero",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 537
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "Representative: for additive-magma-with-zero with known generators",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveMagmaWithZero",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfNearAdditiveMagmaWithZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 517
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "Representative: for magma-with-one with stored parent",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsMagmaWithOne"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 887
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "Representative: for magma-with-one with generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "Tester(GeneratorsOfMagmaWithOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 865
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "Representative: for additive magma with known generators",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfNearAdditiveMagma)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 512
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "Representative: for magma with generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 859
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "Representative: External Set",
+                    "filters": [
+                        [
+                            "IsExternalSet"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 177
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "Representative: for a domain with known domain generators",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain",
+                            "Tester(GeneratorsOfDomain)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/domain.gi",
+                        "line": 263
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "Representative: for a domain with known elements list",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "Tester(AsList)",
+                            "IsGeneralizedDomain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/domain.gi",
+                        "line": 258
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "Representative: for a collection that is a list",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 202
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "Representative: for a list",
+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 425
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Representative",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetRepresentative"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1545
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(Representative): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1545
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(Representative): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1545
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(Representative)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasRepresentative"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1545
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(Representative)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1575
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "RepresentativeSmallest: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RepresentativeSmallest)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1575
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "RepresentativeSmallest: for an empty list",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 437
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "RepresentativeSmallest: for a strictly sorted list",
+                    "filters": [
+                        [
+                            "IsSSortedList",
+                            "Tester(IS_SSORT_LIST)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 444
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "RepresentativeSmallest",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsCollection",
+                            "Tester(AsSSortedList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 224
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "RepresentativeSmallest",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsCollection",
+                            "Tester(EnumeratorSorted)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 213
+                    },
+                    "rank": 5
+                },
+                {
+                    "aka": [
+                        "MinimumList"
+                    ],
+                    "comment": "RepresentativeSmallest: for a list",
+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 450
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "RepresentativeSmallest: for a collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 235
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RepresentativeSmallest",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetRepresentativeSmallest"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1575
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(RepresentativeSmallest): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1575
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(RepresentativeSmallest): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1575
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(RepresentativeSmallest)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasRepresentativeSmallest"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1575
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(RepresentativeSmallest)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "Random"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ],
+            [
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsInt"
+                ]
+            ],
+            [
+                [
+                    "IsRandomSource"
+                ],
+                [
+                    "IsList"
+                ]
+            ],
+            [
+                [
+                    "IsRandomSource"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1636
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1637
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/random.gd",
+                "line": 72
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/random.gd",
+                "line": 73
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Random",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 1545
+                    },
+                    "rank": 432
+                },
+                {
+                    "comment": "Random: for natural SL",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNaturalSL",
+                            "Tester(IsNaturalSL)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpffmat.gi",
+                        "line": 509
+                    },
+                    "rank": 399
+                },
+                {
+                    "comment": "Random: for natural GL",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNaturalGL",
+                            "Tester(IsNaturalGL)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpffmat.gi",
+                        "line": 485
+                    },
+                    "rank": 397
+                },
+                {
+                    "comment": "Random: handled by nice monomorphism",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 781
+                    },
+                    "rank": 370
+                },
+                {
+                    "comment": "Random: for an internal list",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/random.gi",
+                        "line": 228
+                    },
+                    "rank": 119
+                },
+                {
+                    "comment": "Random: for sparse hash tables",
+                    "filters": [
+                        [
+                            "IsHash",
+                            "IsSparseHashRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 691
+                    },
+                    "rank": 107
+                },
+                {
+                    "comment": "Random: for dense hash tables",
+                    "filters": [
+                        [
+                            "IsHash",
+                            "IsDenseHashRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 538
+                    },
+                    "rank": 107
+                },
+                {
+                    "comment": "Random: alternating group: floyd's algorithm",
+                    "filters": [
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 831
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "Random: symmetric group: floyd's algorithm",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 803
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "Random: for Rationals",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing",
+                            "IsPrimeField",
+                            "Tester(IsPrimeField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rational.gi",
+                        "line": 72
+                    },
+                    "rank": 69
+                },
+                {
+                    "comment": "Random: for a permutation group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 626
+                    },
+                    "rank": 68
+                },
+                {
+                    "comment": "Random: for a finite prime field",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing",
+                            "IsPrimeField",
+                            "Tester(IsPrimeField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 58
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "Random: for a finite field with known primitive root",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing",
+                            "Tester(PrimitiveRoot)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 72
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "Random: Alg",
+                    "filters": [
+                        [
+                            "IsAlgebraicExtension"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 888
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": "Random: for full ring Z/nZ",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "CategoryCollections(IsZmodnZObjNonprime)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 878
+                    },
+                    "rank": 49
+                },
+                {
+                    "comment": "Random: for full matrix module",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsFullMatrixModule",
+                            "Tester(IsFullMatrixModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modulmat.gi",
+                        "line": 162
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "Random: for full row module",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsFullRowModule",
+                            "Tester(IsFullRowModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modulrow.gi",
+                        "line": 125
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "Random: fp group",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 302
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "Random: pcgs computable groups",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 1299
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "Random: for a free group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfree.gi",
+                        "line": 325
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "Random: for `Integers'",
+                    "filters": [
+                        [
+                            "IsIntegers"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1756
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "Random: for full hom space of linear mappings",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsGeneralMapping)",
+                            "IsFreeLeftModule",
+                            "IsFullHomModule",
+                            "Tester(IsFullHomModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1888
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "Random: for a free monoid",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/monofree.gi",
+                        "line": 117
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "Random: for a free left module",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modfree.gi",
+                        "line": 235
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "Random: for a free semigroup",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections((IsWord and IsAssociativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/smgrpfre.gi",
+                        "line": 357
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "Random: zmodnze : for full collection Z/nZ(m)",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "CategoryCollections(IsZmodnZepsObj)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 353
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "Random: RightCoset",
+                    "filters": [
+                        [
+                            "IsRightCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 437
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "Random: for a free magma",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "CategoryCollections(IsNonassocWord)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmfree.gi",
+                        "line": 267
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "Random: for an additive coset",
+                    "filters": [
+                        [
+                            "IsAdditiveCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addcoset.gi",
+                        "line": 149
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "Random: for external orbit: via acting domain",
+                    "filters": [
+                        [
+                            "IsExternalOrbit"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 306
+                    },
+                    "rank": 10
+                },
+                {
+                    "aka": [
+                        "RandomList"
+                    ],
+                    "comment": "Random: for a dense small list",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsDenseList",
+                            "IsSmallList",
+                            "Tester(IsSmallList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 460
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "Random: double coset",
+                    "filters": [
+                        [
+                            "IsDoubleCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 275
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "Random",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsPadicExtensionNumber)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 925
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "Random",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsPurePadicNumber)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 499
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "Random: for an infinite list of generators",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsInfiniteListOfGeneratorsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 1290
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "Random: for a (finite) collection",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsFinite",
+                            "Tester(IsFinite)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 253
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "Random: for a dense (small) list",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsDenseList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 471
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "Random:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 255
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "Random: for two integers",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/random.gi",
+                        "line": 238
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "Random: for a real random source and a list",
+                    "filters": [
+                        [
+                            "IsRealRandomSource"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/io-4.4.4/gap/realrandom.gi",
+                        "line": 82
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "Random",
+                    "filters": [
+                        [
+                            "IsMersenneTwister"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/random.gi",
+                        "line": 202
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "Random",
+                    "filters": [
+                        [
+                            "IsGAPRandomSource"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/random.gi",
+                        "line": 154
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "Random",
+                    "filters": [
+                        [
+                            "IsGlobalRandomSource"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/random.gi",
+                        "line": 101
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "Random",
+                    "filters": [
+                        [
+                            "IsRandomSource"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/random.gi",
+                        "line": 59
+                    },
+                    "rank": 4
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "Random: for a real random source and two integers",
+                    "filters": [
+                        [
+                            "IsRealRandomSource"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/io-4.4.4/gap/realrandom.gi",
+                        "line": 72
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "Random",
+                    "filters": [
+                        [
+                            "IsMersenneTwister"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/random.gi",
+                        "line": 217
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "Random",
+                    "filters": [
+                        [
+                            "IsRandomSource"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/random.gi",
+                        "line": 55
+                    },
+                    "rank": 38
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Random",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PseudoRandom"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1729
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "PseudoRandom: for an internal list",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 265
+                    },
+                    "rank": 111
+                },
+                {
+                    "comment": "PseudoRandom: subgroups fp group: force generators",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 394
+                    },
+                    "rank": 37
+                },
+                {
+                    "aka": [
+                        "Group_PseudoRandom"
+                    ],
+                    "comment": "PseudoRandom: product replacement",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagmaWithInverses)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4951
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "PseudoRandom: polynomial ring",
+                    "filters": [
+                        [
+                            "IsPolynomialRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 610
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "PseudoRandom: RightCoset",
+                    "filters": [
+                        [
+                            "IsRightCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 442
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "PseudoRandom: double coset",
+                    "filters": [
+                        [
+                            "IsDoubleCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 281
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "PseudoRandom: for a list or collection (delegate to `Random')",
+                    "filters": [
+                        [
+                            "IsListOrCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 274
+                    },
+                    "rank": 1
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PseudoRandom",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1743
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "PseudoRandomSeed: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(PseudoRandomSeed)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1743
+                    },
+                    "rank": 20004
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PseudoRandomSeed",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetPseudoRandomSeed"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1743
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(PseudoRandomSeed): system mutable setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1743
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(PseudoRandomSeed): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1743
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(PseudoRandomSeed)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasPseudoRandomSeed"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1743
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(PseudoRandomSeed)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1777
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Enumerator: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Enumerator)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1777
+                    },
+                    "rank": 20004
+                },
+                {
+                    "aka": [
+                        "EnumeratorOfZmodnZ"
+                    ],
+                    "comment": "Enumerator: for full ring Z/nZ",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "CategoryCollections(IsZmodnZObjNonprime)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 990
+                    },
+                    "rank": 10023
+                },
+                {
+                    "comment": "Enumerator: for a collection with known `AsSSortedList' value",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "Tester(AsSSortedList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 348
+                    },
+                    "rank": 10003
+                },
+                {
+                    "comment": "Enumerator: for a collection with known `AsList' value",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "Tester(AsList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 334
+                    },
+                    "rank": 10003
+                },
+                {
+                    "comment": "Enumerator",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 1499
+                    },
+                    "rank": 432
+                },
+                {
+                    "comment": "Enumerator: use nice monomorphism",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 1036
+                    },
+                    "rank": 379
+                },
+                {
+                    "aka": [
+                        "EnumeratorOfTrivialMagmaWithOne"
+                    ],
+                    "comment": "Enumerator: for trivial magma-with-one",
+                    "filters": [
+                        [
+                            "IsTrivial",
+                            "Tester(IsTrivial)",
+                            "IsMagmaWithOne"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 1003
+                    },
+                    "rank": 71
+                },
+                {
+                    "comment": "Enumerator: for `Rationals'",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing",
+                            "IsPrimeField",
+                            "Tester(IsPrimeField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rational.gi",
+                        "line": 344
+                    },
+                    "rank": 69
+                },
+                {
+                    "aka": [
+                        "EnumeratorOfPrimeField"
+                    ],
+                    "comment": "Enumerator: for a finite prime field",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing",
+                            "IsPrimeField",
+                            "Tester(IsPrimeField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 509
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "Enumerator: for a permutation group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 585
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "Enumerator: for enumerator of a free group",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfree.gi",
+                        "line": 272
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "Enumerator: fp gp.",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 5225
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "Enumerator: finite pc computable groups",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 1877
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "Enumerator: for integers",
+                    "filters": [
+                        [
+                            "IsIntegers"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1476
+                    },
+                    "rank": 39
+                },
+                {
+                    "aka": [
+                        "GroupEnumeratorByClosure"
+                    ],
+                    "comment": "Enumerator: generic method for a group",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 3242
+                    },
+                    "rank": 37
+                },
+                {
+                    "aka": [
+                        "EnumeratorOfRing"
+                    ],
+                    "comment": "Enumerator: generic method for a ring-with-one with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRingWithOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 643
+                    },
+                    "rank": 30
+                },
+                {
+                    "aka": [
+                        "EnumeratorOfIdeal"
+                    ],
+                    "comment": "Enumerator: generic method for a two-sided ideal with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfTwoSidedIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 1413
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "Enumerator: generic method for a right ideal with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRightIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 1413
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "Enumerator: generic method for a left ideal with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfLeftIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 1413
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "Enumerator: generic method for a two-sided ideal with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfTwoSidedIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 517
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "Enumerator: generic method for a right ideal with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRightIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 517
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "Enumerator: generic method for a left ideal with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfLeftIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 517
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "Enumerator: generic method for a ring with known generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 643
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "Enumerator: for a free monoid",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/monofree.gi",
+                        "line": 83
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "Enumerator: for free left module (delegate to 'EnumeratorByBasis')",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modfree.gi",
+                        "line": 363
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "Enumerator: for a full transformation semigroup",
+                    "filters": [
+                        [
+                            "IsFullTransformationSemigroup",
+                            "Tester(IsFullTransformationSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semitran.gi",
+                        "line": 276
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "Enumerator: for a Rees 0-matrix semigroup",
+                    "filters": [
+                        [
+                            "IsReesZeroMatrixSemigroup",
+                            "Tester(IsReesZeroMatrixSemigroup)",
+                            "Tester(UnderlyingSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 559
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "Enumerator: for a free semigroup",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections((IsWord and IsAssociativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/smgrpfre.gi",
+                        "line": 279
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "Enumerator: for an underlying relation of a general mapping",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain",
+                            "CategoryCollections(IsDirectProductElement)",
+                            "Tester(UnderlyingGeneralMapping)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1492
+                    },
+                    "rank": 20
+                },
+                {
+                    "aka": [
+                        "EnumeratorOfTrivialAdditiveMagmaWithZero"
+                    ],
+                    "comment": "Enumerator: for trivial add. magma-with-zero",
+                    "filters": [
+                        [
+                            "IsTrivial",
+                            "Tester(IsTrivial)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveMagmaWithZero",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 629
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "Enumerator: zmodnze : for full collection Z/nZ(m)",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "CategoryCollections(IsZmodnZepsObj)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 371
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "Enumerator: for a semigroup ideal",
+                    "filters": [
+                        [
+                            "Tester(GeneratorsOfMagmaIdeal)",
+                            "IsSemigroupIdeal",
+                            "Tester(IsSemigroupIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/smgideal.gi",
+                        "line": 385
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "Enumerator: for a Rees matrix semigroup",
+                    "filters": [
+                        [
+                            "IsReesMatrixSemigroup",
+                            "Tester(IsReesMatrixSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 520
+                    },
+                    "rank": 17
+                },
+                {
+                    "aka": [
+                        "EnumeratorOfMagmaIdeal"
+                    ],
+                    "comment": "Enumerator: generic method for a magma ideal",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsLeftActedOnBySuperset",
+                            "IsRightActedOnBySuperset",
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gi",
+                        "line": 302
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "Enumerator: for a right coset",
+                    "filters": [
+                        [
+                            "IsRightCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 49
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "Enumerator: for a left semigroup ideal",
+                    "filters": [
+                        [
+                            "Tester(GeneratorsOfExtLSet)",
+                            "IsLeftSemigroupIdeal",
+                            "Tester(IsLeftSemigroupIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/smgideal.gi",
+                        "line": 378
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "Enumerator: for a right semigroup ideal",
+                    "filters": [
+                        [
+                            "Tester(GeneratorsOfExtRSet)",
+                            "IsRightSemigroupIdeal",
+                            "Tester(IsRightSemigroupIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/smgideal.gi",
+                        "line": 371
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "Enumerator: for a generic semigroup",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 653
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "Enumerator: for a free magma",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagma",
+                            "CategoryCollections(IsWord)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmfree.gi",
+                        "line": 195
+                    },
+                    "rank": 14
+                },
+                {
+                    "aka": [
+                        "EnumeratorOfAdditiveMagma"
+                    ],
+                    "comment": "Enumerator: generic method for an add. magma",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsNearAdditiveMagma",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 719
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "Enumerator",
+                    "filters": [
+                        [
+                            "IsConjugacyClassPermGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clasperm.gi",
+                        "line": 44
+                    },
+                    "rank": 13
+                },
+                {
+                    "aka": [
+                        "EnumeratorOfMagma"
+                    ],
+                    "comment": "Enumerator: generic method for a magma",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 1101
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "Enumerator",
+                    "filters": [
+                        [
+                            "IsRationalClassPermGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clasperm.gi",
+                        "line": 123
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "Enumerator: for an additive coset",
+                    "filters": [
+                        [
+                            "IsAdditiveCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addcoset.gi",
+                        "line": 127
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "Enumerator",
+                    "filters": [
+                        [
+                            "IsRationalClassGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 630
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "Enumerator: xorb by stabilizer",
+                    "filters": [
+                        [
+                            "IsExternalOrbitByStabilizerRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 60
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "Enumerator: <xorb by pcgs>",
+                    "filters": [
+                        [
+                            "IsExternalOrbit",
+                            "IsExternalSetByPcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtpcgs.gi",
+                        "line": 324
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "Enumerator: for external orbit: compute orbit",
+                    "filters": [
+                        [
+                            "IsExternalOrbit"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 295
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "Enumerator: for external subset with home enumerator",
+                    "filters": [
+                        [
+                            "IsExternalSubset",
+                            "Tester(HomeEnumerator)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 284
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "Enumerator: method for a subspaces domain",
+                    "filters": [
+                        [
+                            "IsSubspacesVectorSpace",
+                            "IsSubspacesVectorSpaceDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gi",
+                        "line": 524
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "Enumerator: for a magma congruence class",
+                    "filters": [
+                        [
+                            "IsCongruenceClass"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 952
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "Enumerator: for a double coset",
+                    "filters": [
+                        [
+                            "IsDoubleCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 354
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "Enumerator",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsCollection",
+                            "Tester(EnumeratorSorted)",
+                            "IsGeneralizedDomain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/domain.gi",
+                        "line": 211
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "Enumerator: for sparse hash tables",
+                    "filters": [
+                        [
+                            "IsHash",
+                            "IsSparseHashRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 671
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "Enumerator: for dense hash tables",
+                    "filters": [
+                        [
+                            "IsDenseHashRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 516
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "Enumerator: external set -> HomeEnumerator",
+                    "filters": [
+                        [
+                            "IsExternalSet"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 110
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "Enumerator: for list dictionaries",
+                    "filters": [
+                        [
+                            "IsListDictionary"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/dict.gi",
+                        "line": 383
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "Enumerator: for equivalence classes",
+                    "filters": [
+                        [
+                            "IsEquivalenceClass"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 2148
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "Enumerator: for a domain with stored domain generators",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain",
+                            "Tester(GeneratorsOfDomain)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/domain.gi",
+                        "line": 221
+                    },
+                    "rank": 6
+                },
+                {
+                    "aka": [
+                        "IMMUTABLE_COPY_OBJ",
+                        "Immutable"
+                    ],
+                    "comment": "Enumerator: for a collection that is a list",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 353
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "Enumerator",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsCollection",
+                            "Tester(AsList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 334
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "Enumerator: for a list",
+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 353
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Enumerator",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetEnumerator"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1777
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(Enumerator): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1777
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(Enumerator): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1777
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(Enumerator)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasEnumerator"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1777
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(Enumerator)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 1821
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "EnumeratorSorted: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(EnumeratorSorted)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 1821
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "EnumeratorSorted: for a collection with known `AsSSortedList' value",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "Tester(AsSSortedList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 365
+                    },
+                    "rank": 10003
+                },
+                {
+                    "comment": "EnumeratorSorted: for a finite prime field",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing",
+                            "IsPrimeField",
+                            "Tester(IsPrimeField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 514
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "EnumeratorSorted: for a plist",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsPlistRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 666
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "EnumeratorSorted: for a domain",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/domain.gi",
+                        "line": 231
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "EnumeratorSorted",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsCollection",
+                            "Tester(AsSSortedList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 365
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "EnumeratorSorted: for a list",
+                    "filters": [
+                        [
+                            "IsList"
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+                        "file": "/home/makx/ac/gap/lib/list.gi",
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "filters": [
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+                        []
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+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "Setter(EnumeratorSorted)",
+        "type": "GAP_Operation"
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+                [
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+                "file": "/home/makx/ac/gap/lib/coll.gd",
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+            "6args": []
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+        "type": "GAP_Operation"
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+                    "filters": [
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                        "line": 2011
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+                    "rank": 2
+                },
+                {
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+                [
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+            "3args": [],
+            "4args": [],
+            "5args": [],
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+                [
+                    "IsListOrCollection"
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+            ],
+            [
+                [
+                    "IsListOrCollection"
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+                [
+                    "IsFunction"
+                ]
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+            [
+                [
+                    "IsRowVectorObj"
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+            ],
+            [
+                [
+                    "IsRowVectorObj"
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+                [
+                    "IsFunction"
+                ]
+            ],
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+                [
+                    "IsRowListMatrix"
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+            [
+                [
+                    "IsRowListMatrix"
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+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
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+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
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+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
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+            },
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 172
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
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+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
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+                    ],
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+                            "IsList",
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+                            "IsCollection"
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+                    ],
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+                    "filters": [
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+                        [
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+                [
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+                            "IsList",
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+                        [
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+                            "Tester(AsList)"
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+                            "Tester(IsNonTrivial)",
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+                            "IsAssociativeLOpDProd",
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+                    "rank": 8
+                },
+                {
+                    "comment": "AsList",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsCollection",
+                            "Tester(AsSSortedList)",
+                            "IsGeneralizedDomain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/domain.gi",
+                        "line": 206
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "AsList: for an enumerator that perhaps has its own `AsList' function",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsDenseList",
+                            "IsDuplicateFree",
+                            "Tester(IsDuplicateFree)",
+                            "IsEnumeratorByFunctionsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 508
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "AsList: for a domain with stored domain generators",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain",
+                            "Tester(GeneratorsOfDomain)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/domain.gi",
+                        "line": 216
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "AsList: for collections that are constant time access lists",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsConstantTimeAccessList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 288
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "AsList: for a constant time access list",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsConstantTimeAccessList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 288
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "AsList: for a list",
+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 591
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "AsList: for a collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 283
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AsList",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetAsList"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 2217
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(AsList): for an underlying relation and a list of direct product elements",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsCollection",
+                            "IsGeneralizedDomain",
+                            "CategoryCollections(IsDirectProductElement)",
+                            "Tester(UnderlyingGeneralMapping)"
+                        ],
+                        [
+                            "CategoryCollections(IsDirectProductElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1343
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "Setter(AsList): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 2217
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(AsList): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 2217
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(AsList)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasAsList"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 2217
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(AsList)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 2258
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "AsSortedList: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(AsSortedList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 2258
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "AsSortedList: for a list or collection",
+                    "filters": [
+                        [
+                            "IsListOrCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 853
+                    },
+                    "rank": 1
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AsSortedList",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetAsSortedList"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 2258
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(AsSortedList): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 2258
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(AsSortedList): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 2258
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(AsSortedList)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasAsSortedList"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 2258
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(AsSortedList)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 2320
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "AsSSortedList: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(AsSSortedList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 2320
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "AsSSortedList: via stabchain",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 2040
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "AsSSortedList: pcgs computable groups",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcatr.gi",
+                        "line": 42
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "AsSSortedList: for full ring Z/nZ",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "CategoryCollections(IsZmodnZObjNonprime)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 866
+                    },
+                    "rank": 49
+                },
+                {
+                    "comment": "AsSSortedList: for a free left module",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modfree.gi",
+                        "line": 212
+                    },
+                    "rank": 23
+                },
+                {
+                    "aka": [
+                        "AS_LIST_SORTED_LIST",
+                        "AsSSortedListList"
+                    ],
+                    "comment": "AsSSortedList: for a plist",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsPlistRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 636
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "AsSSortedList: for a left magma ideal",
+                    "filters": [
+                        [
+                            "IsLeftActedOnBySuperset",
+                            "Tester(GeneratorsOfExtLSet)",
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gi",
+                        "line": 364
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "AsSSortedList: for a right magma ideal",
+                    "filters": [
+                        [
+                            "IsRightActedOnBySuperset",
+                            "Tester(GeneratorsOfExtRSet)",
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gi",
+                        "line": 338
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "AsSSortedList: external orbit",
+                    "filters": [
+                        [
+                            "IsExternalOrbit"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 391
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "AsSSortedList: for a Green's class",
+                    "filters": [
+                        [
+                            "IsGreensClass"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 369
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "AsSSortedList: for a collection that is a constant time access list",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsConstantTimeAccessList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 303
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "AsSSortedList: for a list",
+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 641
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "AsSSortedList: for a list",
+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 631
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "AsSSortedList: for a collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 298
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AsSSortedList",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetAsSSortedList"
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+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 2320
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(AsSSortedList): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 2320
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(AsSSortedList): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gd",
+                        "line": 2320
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(AsSSortedList)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasAsSSortedList"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 2320
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(AsSSortedList)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 2345
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "AsSSortedListNonstored: if `AsSSortedList' is known",
+                    "filters": [
+                        [
+                            "IsListOrCollection",
+                            "Tester(AsSSortedList)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 313
+                    },
+                    "rank": 10002
+                },
+                {
+                    "comment": "AsSSortedListNonstored: if `AsList' is known:sort",
+                    "filters": [
+                        [
+                            "IsListOrCollection",
+                            "Tester(AsList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 325
+                    },
+                    "rank": 2502
+                },
+                {
+                    "comment": "AsSSortedListNonstored: via stabchain",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 2045
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "AsSSortedListNonstored: pcgs computable groups",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcatr.gi",
+                        "line": 38
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "AsSSortedListNonstored: generic method for groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 3242
+                    },
+                    "rank": 35
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AsSSortedListNonstored",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SumOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 2449
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "SumOp: for a dense list",
+                    "filters": [
+                        [
+                            "IsDenseList"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 826
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "SumOp: for a list/collection",
+                    "filters": [
+                        [
+                            "IsListOrCollection"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 1195
+                    },
+                    "rank": 1
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "SumOp: for a list, and initial value",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsAdditiveElement"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 842
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "SumOp: for a dense list, and a function",
+                    "filters": [
+                        [
+                            "IsDenseList"
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+                        [
+                            "IsFunction"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 863
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "SumOp: for a list/collection, and init. value",
+                    "filters": [
+                        [
+                            "IsListOrCollection"
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+                        [
+                            "IsAdditiveElement"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 1233
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "SumOp: for a list/collection, and a function",
+                    "filters": [
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsFunction"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 1217
+                    },
+                    "rank": 2
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+            ],
+            "3args": [
+                {
+                    "comment": "SumOp: for a list, a function, and initial value",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ],
+                        [
+                            "IsAdditiveElement"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 879
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "SumOp: for a list/collection, and a function, and an initial value",
+                    "filters": [
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsFunction"
+                        ],
+                        [
+                            "IsAdditiveElement"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 1249
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+                    "rank": 5
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+                [
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+                    "location": {
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+                {
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+                    "filters": [
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+                    ],
+                    "location": {
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+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
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+                    ],
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+                {
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+                    "filters": [
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+                        [
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+                    ],
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+                {
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+                    "filters": [
+                        [
+                            "IsListOrCollection"
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+                        [
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+                    "filters": [
+                        [
+                            "IsListOrCollection"
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+                        [
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+                    "filters": [
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+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ],
+                        [
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+                    "filters": [
+                        [
+                            "IsListOrCollection"
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+                        [
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+                        [
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+                    ],
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+                    "filters": [
+                        [
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
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+                        [
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+                    ],
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+                },
+                {
+                    "comment": "FilteredOp: for a dense list, and a function",
+                    "filters": [
+                        [
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+                        [
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+                    "rank": 4
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+                {
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+                    "filters": [
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+                        [
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+                {
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+                    "filters": [
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
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+                    ],
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+            "4args": [],
+            "5args": [],
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+            [
+                [
+                    "IsListOrCollection"
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+                [
+                    "IsFunction"
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+        ],
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+                    "filters": [
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+                            "IsDenseList"
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+                    ],
+                    "location": {
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+                {
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+                    "filters": [
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+                    ],
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsListOrCollection"
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+                    ],
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+                    "filters": [
+                        [
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+                        ],
+                        [
+                            "IsFunction"
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+                    ],
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+                },
+                {
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+                    "filters": [
+                        [
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+                        ],
+                        [
+                            "IsFunction"
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+                    ],
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+                },
+                {
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+                    "filters": [
+                        [
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+                        ],
+                        [
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+                    ],
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+                [
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+                [
+                    "IsFunction"
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+                    "filters": [
+                        [
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
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+                        [
+                            "IsFunction"
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+                    ],
+                    "location": {
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+                },
+                {
+                    "comment": "ForAllOp: for a dense list, and a function",
+                    "filters": [
+                        [
+                            "IsDenseList",
+                            "IsFinite",
+                            "Tester(IsFinite)"
+                        ],
+                        [
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+                    ],
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+                {
+                    "comment": "ForAllOp: for a list, and a function",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsFinite",
+                            "Tester(IsFinite)"
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+                        [
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+                    ],
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsFunction"
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+                    ],
+                    "location": {
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "aka": [
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+        "filters": [
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+                [
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+                [
+                    "IsFunction"
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+        ],
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+                    "filters": [
+                        [
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsFunction"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
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+                },
+                {
+                    "comment": "ForAnyOp: for a dense list, and a function",
+                    "filters": [
+                        [
+                            "IsDenseList",
+                            "IsFinite",
+                            "Tester(IsFinite)"
+                        ],
+                        [
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+                    ],
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+                },
+                {
+                    "comment": "ForAnyOp: for a list, and a function",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsFinite",
+                            "Tester(IsFinite)"
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+                        [
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+                    ],
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+                },
+                {
+                    "comment": "ForAnyOp: for a list/collection, and a function",
+                    "filters": [
+                        [
+                            "IsListOrCollection"
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+                        [
+                            "IsFunction"
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+                    ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+            [
+                [
+                    "IsListOrCollection"
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+                [
+                    "IsListOrCollection"
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+        ],
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+                "file": "/home/makx/ac/gap/lib/coll.gd",
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+            "1args": [],
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+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    ],
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+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 722
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+                },
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+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain",
+                            "Tester(ParentAttr)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/domain.gi",
+                        "line": 290
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsCollection",
+                            "Tester(Size)"
+                        ],
+                        [
+                            "IsCollection",
+                            "Tester(Size)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2315
+                    },
+                    "rank": 10008
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2276
+                    },
+                    "rank": 10008
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsCollection"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2300
+                    },
+                    "rank": 10005
+                },
+                {
+                    "comment": "IsSubset: handled by nice monomorphism: attribute CollColl",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 547
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
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+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
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+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsFFE)",
+                            "Is8BitVectorRep"
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+                    ],
+                    "location": {
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+                        "line": 656
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+                    "rank": 475
+                },
+                {
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+                    "filters": [
+                        [
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+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
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+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsFFE)",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1700
+                    },
+                    "rank": 472
+                },
+                {
+                    "comment": "IsSubset: polynomial rings",
+                    "filters": [
+                        [
+                            "IsPolynomialRing"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 520
+                    },
+                    "rank": 129
+                },
+                {
+                    "comment": "IsSubset: for two finite fields in the same family",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 116
+                    },
+                    "rank": 116
+                },
+                {
+                    "aka": [
+                        "DivisionRing_IsSubset"
+                    ],
+                    "comment": "IsSubset: for two division rings",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 562
+                    },
+                    "rank": 104
+                },
+                {
+                    "comment": "IsSubset: for certain cyclotomic semirings",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.gi",
+                        "line": 2038
+                    },
+                    "rank": 82
+                },
+                {
+                    "comment": "IsSubset: 2-sided ideal in ring, naive",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(LeftActingRingOfIdeal)",
+                            "Tester(RightActingRingOfIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 873
+                    },
+                    "rank": 80
+                },
+                {
+                    "comment": "IsSubset: subgroups of fp group by quot. rep",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup",
+                            "IsSubgroupOfWholeGroupByQuotientRep"
+                        ],
+                        [
+                            "IsSubgroupFpGroup",
+                            "IsSubgroupOfWholeGroupByQuotientRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 597
+                    },
+                    "rank": 76
+                },
+                {
+                    "comment": "IsSubset: subgroups of fp group: test generators",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "Tester(GeneratorsOfMagmaWithInverses)",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 542
+                    },
+                    "rank": 75
+                },
+                {
+                    "comment": "IsSubset: subgp fp group: via quotient rep",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 604
+                    },
+                    "rank": 74
+                },
+                {
+                    "comment": "IsSubset: for two FLMLORs-with-one",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1863
+                    },
+                    "rank": 74
+                },
+                {
+                    "comment": "IsSubset: pcgs computable groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(FamilyPcgs)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 583
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "IsSubset: generic method for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 3175
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "IsSubset: for two FLMLORs",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1845
+                    },
+                    "rank": 68
+                },
+                {
+                    "comment": "IsSubset: for two rings-with-one",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRingWithOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 587
+                    },
+                    "rank": 56
+                },
+                {
+                    "comment": "IsSubset: for two rings",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 569
+                    },
+                    "rank": 53
+                },
+                {
+                    "comment": "IsSubset: for two free left modules",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modfree.gi",
+                        "line": 307
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "IsSubset: for two magmas with inverses",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ],
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 1174
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "IsSubset: for two additive magmas with inverses",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ],
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 759
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "IsSubset: for two additive magmas with zero",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveMagmaWithZero",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ],
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveMagmaWithZero",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 746
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "IsSubset: for two magmas with one",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne"
+                        ],
+                        [
+                            "IsMagmaWithOne"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 1161
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "IsSubset: for two additive magmas",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ],
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 733
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "IsSubset: for two magmas",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ],
+                        [
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 1148
+                    },
+                    "rank": 22
+                },
+                {
+                    "aka": [
+                        "IsSubsetSet"
+                    ],
+                    "comment": "IsSubset: for two collections that are internal lists",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsInternalRep",
+                            "IsCollection"
+                        ],
+                        [
+                            "IsList",
+                            "IsInternalRep",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2322
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "IsSubset: for two internal lists",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsList",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2322
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "IsSubset: for collection and empty list",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2276
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "IsSubset: for empty list and collection",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2270
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "IsSubset: for two collections with known `AsSSortedList'",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "Tester(AsSSortedList)"
+                        ],
+                        [
+                            "IsCollection",
+                            "Tester(AsSSortedList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2340
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "IsSubset: for two collections (loop over the elements of the second)",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2350
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "IsSubset: for two collections in different families",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2262
+                    },
+                    "rank": 4
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsSubset",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "Intersection2"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ],
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 3047
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Intersection2: domain and whole family",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/domain.gi",
+                        "line": 324
+                    },
+                    "rank": 10009
+                },
+                {
+                    "comment": "Intersection2: whole family and domain",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/domain.gi",
+                        "line": 315
+                    },
+                    "rank": 10009
+                },
+                {
+                    "comment": "Intersection2: for two fields of FFEs",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 694
+                    },
+                    "rank": 838
+                },
+                {
+                    "comment": "Intersection2: handled by nice monomorphism:group CollColl",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 483
+                    },
+                    "rank": 740
+                },
+                {
+                    "comment": "Intersection2: for two cyclotomic fields of cyclotomics",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsCyclotomicField",
+                            "Tester(IsCyclotomicField)"
+                        ],
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsCyclotomicField",
+                            "Tester(IsCyclotomicField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 444
+                    },
+                    "rank": 134
+                },
+                {
+                    "comment": "Intersection2: for abelian number field and cyclotomic field",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ],
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsCyclotomicField",
+                            "Tester(IsCyclotomicField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 478
+                    },
+                    "rank": 132
+                },
+                {
+                    "comment": "Intersection2: for cyclotomic field and abelian number field",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsCyclotomicField",
+                            "Tester(IsCyclotomicField)"
+                        ],
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 461
+                    },
+                    "rank": 132
+                },
+                {
+                    "comment": "Intersection2: for two abelian number fields",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ],
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 506
+                    },
+                    "rank": 130
+                },
+                {
+                    "comment": "Intersection2",
+                    "filters": [
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ],
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 873
+                    },
+                    "rank": 124
+                },
+                {
+                    "comment": "Intersection2",
+                    "filters": [
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ],
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 868
+                    },
+                    "rank": 124
+                },
+                {
+                    "comment": "Intersection2",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ],
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 863
+                    },
+                    "rank": 124
+                },
+                {
+                    "comment": "Intersection2",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ],
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 858
+                    },
+                    "rank": 124
+                },
+                {
+                    "comment": "Intersection2",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 894
+                    },
+                    "rank": 120
+                },
+                {
+                    "comment": "Intersection2",
+                    "filters": [
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 889
+                    },
+                    "rank": 120
+                },
+                {
+                    "comment": "Intersection2",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 884
+                    },
+                    "rank": 120
+                },
+                {
+                    "comment": "Intersection2",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 879
+                    },
+                    "rank": 120
+                },
+                {
+                    "comment": "Intersection2: perm groups",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbcbckt.gi",
+                        "line": 3004
+                    },
+                    "rank": 116
+                },
+                {
+                    "comment": "Intersection2: for certain cyclotomic semirings",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.gi",
+                        "line": 2051
+                    },
+                    "rank": 82
+                },
+                {
+                    "comment": "Intersection2: subgroups of fp group by quotient",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup",
+                            "IsSubgroupOfWholeGroupByQuotientRep"
+                        ],
+                        [
+                            "IsSubgroupFpGroup",
+                            "IsSubgroupOfWholeGroupByQuotientRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1984
+                    },
+                    "rank": 76
+                },
+                {
+                    "comment": "Intersection2: subgroups of fp group",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1920
+                    },
+                    "rank": 74
+                },
+                {
+                    "comment": "Intersection2: generic method for two FLMLORs-with-one",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1091
+                    },
+                    "rank": 74
+                },
+                {
+                    "comment": "Intersection2: groups with pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(HomePcgs)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(HomePcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcint.gi",
+                        "line": 328
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "Intersection2: for two spaces in a common s.c. algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "CategoryCollections(IsSCAlgebraObj)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "CategoryCollections(IsSCAlgebraObj)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 1140
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "Intersection2: generic method for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 3201
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "Intersection2: generic method for two FLMLORs",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1079
+                    },
+                    "rank": 68
+                },
+                {
+                    "comment": "Intersection2: for two Gaussian row spaces",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsRowModule",
+                            "Tester(IsRowModule)",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsRowModule",
+                            "Tester(IsRowModule)",
+                            "IsGaussianSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 882
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "Intersection2: method for two vector spaces",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gi",
+                        "line": 342
+                    },
+                    "rank": 50
+                },
+                {
+                    "comment": "Intersection2: for two additive cosets",
+                    "filters": [
+                        [
+                            "IsAdditiveCoset"
+                        ],
+                        [
+                            "IsAdditiveCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addcoset.gi",
+                        "line": 253
+                    },
+                    "rank": 24
+                },
+                {
+                    "aka": [
+                        "IntersectionSet"
+                    ],
+                    "comment": "Intersection2: for two collections in the same family, both lists",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ],
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2372
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "Intersection2: for two collections in the same family, the first being a list",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2434
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "Intersection2: for two collections in the same family, the second being a list",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ],
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2414
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "Intersection2: for two collections in the same family",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2465
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "Intersection2: for two collections in different families",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2394
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "Intersection2: for two lists or collections, the first being empty",
+                    "filters": [
+                        [
+                            "IsListOrCollection",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2382
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "Intersection2: for two lists or collections, the second being empty",
+                    "filters": [
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsListOrCollection",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2377
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "Intersection2: for two lists (not necessarily in the same family)",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2372
+                    },
+                    "rank": 4
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Intersection2",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "Union2"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ],
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
+                "line": 3105
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "aka": [
+                        "UnionSet"
+                    ],
+                    "comment": "Union2: for two collections that are lists",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ],
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2527
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "Union2: for two collections, the first being a list",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 2560
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "Union2: for two collections, the second being a list",
+                    "filters": [
+                        [
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(CheapRandomizerAttr)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasCheapRandomizerAttr"
+        ],
+        "filters": [
+            [
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/coll.gd",
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+        ],
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+            "0args": [],
+            "1args": [],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(CheapRandomizerAttr)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/list.gd",
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+            }
+        ],
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+            "1args": [
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+                    "comment": "IsSmallList: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsSmallList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gd",
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+                    },
+                    "rank": 20005
+                },
+                {
+                    "comment": "IsSmallList",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsBasis",
+                            "Tester(UnderlyingLeftModule)"
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+                    ],
+                    "location": {
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+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "IsSmallList",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsBasis",
+                            "Tester(BasisVectors)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
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+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "IsSmallList: for a list",
+                    "filters": [
+                        [
+                            "IsList"
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+                    ],
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+                        "file": "/home/makx/ac/gap/lib/list.gi",
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+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "IsSmallList: for a non-list",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
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+                    "rank": 0
+                }
+            ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsSmallList",
+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+            [
+                [
+                    "IsList"
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+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/list.gd",
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+            }
+        ],
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+                    "comment": "Setter(IsSmallList): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gd",
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+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsSmallList): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gd",
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+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsSmallList)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/list.gd",
+                "line": 112
+            }
+        ],
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+            "0args": [],
+            "1args": [],
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+        },
+        "name": "Tester(IsSmallList)",
+        "type": "GAP_Operation"
+    },
+    {
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+            [
+                [
+                    "IsList"
+                ]
+            ],
+            [
+                [
+                    "IsAssociativeElement",
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+                ]
+            ],
+            [
+                [
+                    "IsRowVectorObj"
+                ]
+            ],
+            [
+                [
+                    "IsMatrixObj"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/list.gd",
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+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Length: system getter",
+                    "filters": [
+                        [
+                            "Tester(LENGTH)",
+                            "IsAttributeStoringRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gd",
+                        "line": 136
+                    },
+                    "rank": 20005
+                },
+                {
+                    "comment": "Length: for a matrix with memory",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsObjWithMemory"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 374
+                    },
+                    "rank": 134
+                },
+                {
+                    "comment": "Length: for a straight line program word",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsStraightLineProgElm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 2030
+                    },
+                    "rank": 109
+                },
+                {
+                    "comment": "Length: for a word with memory",
+                    "filters": [
+                        [
+                            "IsWord",
+                            "IsObjWithMemory"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 409
+                    },
+                    "rank": 108
+                },
+                {
+                    "comment": "Length: for GF2 matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsGF2MatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 549
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "Length: for an ordinary block matrix",
+                    "filters": [
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 138
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "Length: for Lie matrix in default representation",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
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+                },
+                {
+                    "comment": "Length: for class function",
+                    "filters": [
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+                            "IsClassFunction"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
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+                },
+                {
+                    "comment": "Length: for null map matrix",
+                    "filters": [
+                        [
+                            "IsNullMapMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 248
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "Length: For a compressed MatFFE",
+                    "filters": [
+                        [
+                            "IsList",
+                            "Is8BitMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mat8bit.gi",
+                        "line": 64
+                    },
+                    "rank": 28
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsEmptyRowVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rvecempt.gi",
+                        "line": 59
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "Length: pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPcgsDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 96
+                    },
+                    "rank": 24
+                },
+                {
+                    "aka": [
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+                    ],
+                    "comment": "Length: For a compressed VecFFE",
+                    "filters": [
+                        [
+                            "IsList",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
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+                },
+                {
+                    "aka": [
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+                    "filters": [
+                        [
+                            "IsList",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 100
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "Length: modulo pcgs",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 95
+                    },
+                    "rank": 20
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsDefaultDirectProductElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 284
+                    },
+                    "rank": 17
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 759
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "Length: for a plist vector",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 204
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "Length: for a right transversal in cosets representation",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsRightTransversalViaCosetsRep"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 1152
+                    },
+                    "rank": 10
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsList",
+                            "IsRightTransversalViaCosetsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 1093
+                    },
+                    "rank": 10
+                },
+                {
+                    "aka": [
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+                    "filters": [
+                        [
+                            "IsWeakPointerObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wpobj.gi",
+                        "line": 58
+                    },
+                    "rank": 10
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsElementOfFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 94
+                    },
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+                },
+                {
+                    "comment": "Length: for right transversal",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsRightTransversalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2539
+                    },
+                    "rank": 9
+                },
+                {
+                    "aka": [
+                        "32Bits_LengthWord"
+                    ],
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+                    "filters": [
+                        [
+                            "Is32BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 719
+                    },
+                    "rank": 8
+                },
+                {
+                    "aka": [
+                        "16Bits_LengthWord"
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+                    "comment": "Length: for a 16 bits assoc. word",
+                    "filters": [
+                        [
+                            "Is16BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 626
+                    },
+                    "rank": 8
+                },
+                {
+                    "aka": [
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+                    "comment": "Length: for an 8 bits assoc. word",
+                    "filters": [
+                        [
+                            "Is8BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 533
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "Length",
+                    "filters": [
+                        [
+                            "IsUnicodeString"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/UnicodeTools.gi",
+                        "line": 593
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "Length: for a basis",
+                    "filters": [
+                        [
+                            "IsBasis"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 83
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "Length: for an enumerator that perhaps has its own `Length' function",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsDenseList",
+                            "IsDuplicateFree",
+                            "Tester(IsDuplicateFree)",
+                            "IsEnumeratorByFunctionsRep"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 475
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsLetterAssocWordRep"
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+                    ],
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
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+                },
+                {
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+                        [
+                            "IsList",
+                            "IsEnumeratorByNiceomorphismRep"
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+                },
+                {
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+                },
+                {
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+                    "rank": 5
+                },
+                {
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+                        [
+                            "IsList",
+                            "IsInfiniteListOfGeneratorsRep"
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+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsList",
+                            "IsInfiniteListOfNamesRep"
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+                    "location": {
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+            [
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+            [
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+            ],
+            [
+                [
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+                },
+                {
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+            ],
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+            [
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+                [
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+                        [
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+                        "line": 387
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "IsBound[]: for class function and positive integer",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 92
+                    },
+                    "rank": 50
+                },
+                {
+                    "comment": "IsBound[]: for an empty row vector, and a positive integer",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsEmptyRowVectorRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rvecempt.gi",
+                        "line": 73
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "IsBound[]: pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 84
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "IsBound[]",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 84
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "IsBound[]: for a plist matrix, and a position",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 949
+                    },
+                    "rank": 34
+                },
+                {
+                    "aka": [
+                        "IsBoundElmWPObj"
+                    ],
+                    "comment": "IsBound[]: method for a weak pointer object",
+                    "filters": [
+                        [
+                            "IsWeakPointerObject"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wpobj.gi",
+                        "line": 70
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "IsBound[]: for an enumerator that perhaps has its own `IsBound' function",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsDenseList",
+                            "IsDuplicateFree",
+                            "Tester(IsDuplicateFree)",
+                            "IsEnumeratorByFunctionsRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 486
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "IsBound[]: for a dense list and positive integer",
+                    "filters": [
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 2788
+                    },
+                    "rank": 22
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsBound[]",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ELM_LIST",
+            "[]"
+        ],
+        "filters": [
+            [
+                [
+                    "IsList"
+                ],
+                []
+            ],
+            [
+                [
+                    "IsRowVectorObj"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ],
+            [
+                [
+                    "IsMatrixObj"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ],
+            [
+                [
+                    "IsReesMatrixSemigroupElement"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ],
+            [
+                [
+                    "IsReesZeroMatrixSemigroupElement"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/list.gd",
+                "line": 184
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 155
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 388
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/reesmat.gd",
+                "line": 23
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/reesmat.gd",
+                "line": 24
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "[]: for a matrix with memory",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsObjWithMemory"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 380
+                    },
+                    "rank": 153
+                },
+                {
+                    "comment": "[]: for GF2 matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsGF2MatrixRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 565
+                    },
+                    "rank": 63
+                },
+                {
+                    "comment": "[]: for an ordinary block matrix and a positive integer",
+                    "filters": [
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 168
+                    },
+                    "rank": 53
+                },
+                {
+                    "comment": "[]: for Lie matrix in default representation, and positive integer",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieMatrix"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 375
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "[]: for class function and positive integer",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 80
+                    },
+                    "rank": 50
+                },
+                {
+                    "comment": "[]: For a compressed MatFFE",
+                    "filters": [
+                        [
+                            "IsList",
+                            "Is8BitMatrixRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mat8bit.gi",
+                        "line": 73
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "[]: pcgs, pos int",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPcgsDefaultRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 157
+                    },
+                    "rank": 43
+                },
+                {
+                    "aka": [
+                        "ELM_VEC8BIT"
+                    ],
+                    "comment": "[]: For a compressed VecFFE",
+                    "filters": [
+                        [
+                            "IsList",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 99
+                    },
+                    "rank": 43
+                },
+                {
+                    "aka": [
+                        "ELM_GF2VEC"
+                    ],
+                    "comment": "[]: for GF2 vector",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 126
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "[]: modulo pcgs",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 141
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "[]: for a direct product element in default repres., and a pos. integer",
+                    "filters": [
+                        [
+                            "IsDefaultDirectProductElementRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 271
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "[]: for a plist matrix and a positive integer",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 850
+                    },
+                    "rank": 34
+                },
+                {
+                    "aka": [
+                        "ClassElementLattice"
+                    ],
+                    "comment": "[]: for classes of subgroups",
+                    "filters": [
+                        [
+                            "IsConjugacyClassSubgroupsRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grplatt.gi",
+                        "line": 172
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "[]: for a plist vector and a positive integer",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 263
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "[]: right transversal fp group",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsRightTransversalFpGroupRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 5199
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "[]: for Pc transversals",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsRightTransversalPcGroupRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetpc.gi",
+                        "line": 279
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "[]: for right transversal of perm. group, and pos. integer",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsRightTransversalPermGroupRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetperm.gi",
+                        "line": 127
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "[]: factored transversal",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsFactoredTransversalRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 1204
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "[]: rt via coset",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsRightTransversalViaCosetsRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 1100
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "[]: method for a weak pointer object",
+                    "filters": [
+                        [
+                            "IsWeakPointerObject"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wpobj.gi",
+                        "line": 34
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "[]",
+                    "filters": [
+                        [
+                            "IsUnicodeString"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/UnicodeTools.gi",
+                        "line": 597
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "[]: for a basis and a positive integer",
+                    "filters": [
+                        [
+                            "IsBasis"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 71
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "[]: for enumerator by functions",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsDenseList",
+                            "IsDuplicateFree",
+                            "Tester(IsDuplicateFree)",
+                            "IsEnumeratorByFunctionsRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 439
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "[]: for a Rees 0-matrix semigroup element",
+                    "filters": [
+                        [
+                            "IsReesZeroMatrixSemigroupElement"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 863
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "[]: for a Rees matrix semigroup element",
+                    "filters": [
+                        [
+                            "IsReesMatrixSemigroupElement"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 849
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "[]: enum-by-niceo",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsEnumeratorByNiceomorphismRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 1057
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "[]: enum-by-pcgs",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsEnumeratorByPcgsRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1316
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "[]: for an infinite list of generators",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsInfiniteListOfGeneratorsRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 1242
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "[]: for an infinite list of names",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsInfiniteListOfNamesRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 1110
+                    },
+                    "rank": 23
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "[]",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ELMS_LIST",
+            "{}"
+        ],
+        "filters": [
+            [
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ]
+            ],
+            [
+                [
+                    "IsRowVectorObj"
+                ],
+                [
+                    "IsList"
+                ]
+            ],
+            [
+                [
+                    "IsRowListMatrix"
+                ],
+                [
+                    "IsList"
+                ]
+            ],
+            [
+                [
+                    "IsFlatMatrix"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/list.gd",
+                "line": 193
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 163
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 702
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 758
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "aka": [
+                        "ELMS_VEC8BIT_RANGE"
+                    ],
+                    "comment": "{}: For an 8 bit vector and a range",
+                    "filters": [
+                        [
+                            "IsList",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsRange",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 297
+                    },
+                    "rank": 63
+                },
+                {
+                    "aka": [
+                        "ELMS_VEC8BIT"
+                    ],
+                    "comment": "{}: For an 8 bit vector and a plain list",
+                    "filters": [
+                        [
+                            "IsList",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsDenseList",
+                            "IsPlistRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 292
+                    },
+                    "rank": 45
+                },
+                {
+                    "aka": [
+                        "ELMS_GF2VEC"
+                    ],
+                    "comment": "{}: for GF2 vector",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsList",
+                            "IsDenseList",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 139
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "{}: pcgs, range",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsDenseList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 166
+                    },
+                    "rank": 24
+                },
+                {
+                    "aka": [
+                        "ELMS_LIST_DEFAULT"
+                    ],
+                    "comment": "{}: for a small list and a small dense list",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsSmallList",
+                            "Tester(IsSmallList)"
+                        ],
+                        [
+                            "IsDenseList",
+                            "IsSmallList",
+                            "Tester(IsSmallList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 986
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "{}: for a plist matrix and a list",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
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+            },
+            {
+                "file": "/home/makx/ac/gap/lib/list.gd",
+                "line": 637
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 405
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 406
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Position",
+                    "filters": [
+                        [
+                            "IsUnicodeString"
+                        ],
+                        [
+                            "IsUnicodeCharacter"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/UnicodeTools.gi",
+                        "line": 646
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "Position: for a plist matrix, and a plist vector",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ],
+                        [
+                            "IsPlistVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1110
+                    },
+                    "rank": 26
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "Position: for class function, cyclotomic, and nonnegative integer",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ],
+                        [
+                            "IsCyc"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 99
+                    },
+                    "rank": 65
+                },
+                {
+                    "comment": "Position: for Lie matrix in default representation, row vector, and integer",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieMatrix"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 393
+                    },
+                    "rank": 63
+                },
+                {
+                    "comment": "Position",
+                    "filters": [
+                        [
+                            "IsUnicodeString"
+                        ],
+                        [
+                            "IsUnicodeCharacter"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/UnicodeTools.gi",
+                        "line": 650
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "Position: for a plist matrix, and a plist vector",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ],
+                        [
+                            "IsPlistVectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1125
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "Position: pcgs, object, int",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPcgsDefaultRep"
+                        ],
+                        [],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 120
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "Position: modulo pcgs",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 111
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "Position: for enumerator by functions",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsDenseList",
+                            "IsDuplicateFree",
+                            "Tester(IsDuplicateFree)",
+                            "IsEnumeratorByFunctionsRep"
+                        ],
+                        [],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 447
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "Position: right transversal fp gp.",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsRightTransversalFpGroupRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 5214
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "Position: for a small sorted list, an object, and an integer",
+                    "filters": [
+                        [
+                            "IsSSortedList",
+                            "Tester(IS_SSORT_LIST)",
+                            "IsSmallList",
+                            "Tester(IsSmallList)"
+                        ],
+                        [],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 1280
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "Position: right transversal: Use PositionCanonical",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsRightTransversalRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2553
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "Position: enum-by-niceo",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsEnumeratorByNiceomorphismRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 1071
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "Position: enum-by-pcgs",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsEnumeratorByPcgsRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1347
+                    },
+                    "rank": 31
+                },
+                {
+                    "aka": [
+                        "POS_LIST_DEFAULT"
+                    ],
+                    "comment": "Position: for a small list, an object, and an integer",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsSmallList",
+                            "Tester(IsSmallList)"
+                        ],
+                        [],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 1236
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "Position: for a sorted list, an object, and an integer",
+                    "filters": [
+                        [
+                            "IsSSortedList",
+                            "Tester(IS_SSORT_LIST)"
+                        ],
+                        [],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 1302
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "Position: for an infinite list of generators, an object, and zero",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsInfiniteListOfGeneratorsRep"
+                        ],
+                        [],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 1271
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "Position: for an infinite list of names, an object, and zero",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsInfiniteListOfNamesRep"
+                        ],
+                        [],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 1153
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "Position: for a basis, an object, and a nonnegative integer",
+                    "filters": [
+                        [
+                            "IsBasis"
+                        ],
+                        [],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 78
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "Position: for duplicate free list, object, and positive integer",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsDuplicateFree",
+                            "Tester(IsDuplicateFree)"
+                        ],
+                        [],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 1327
+                    },
+                    "rank": 23
+                },
+                {
+                    "aka": [
+                        "LOCKS_FUNC",
+                        "RETURN_FAIL",
+                        "ReturnFail"
+                    ],
+                    "comment": "Position: for a homog. list, an object not in the elements family, and an int.",
+                    "filters": [
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 1258
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "Position: for a (small) list, an object, and an integer",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 1247
+                    },
+                    "rank": 20
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Position",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PositionsOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsList"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/list.gd",
+                "line": 665
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "PositionsOp",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 1366
+                    },
+                    "rank": 2
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PositionsOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PositionCanonical"
+        ],
+        "filters": [
+            [
+                [
+                    "IsList"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/list.gd",
+                "line": 704
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "PositionCanonical: for 8bit matrices lists, fall back on `Position'",
+                    "filters": [
+                        [
+                            "IsList",
+                            "Is8BitMatrixRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mat8bit.gi",
+                        "line": 187
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "PositionCanonical: for internally represented lists, fall back on `Position'",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsGF2MatrixRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1612
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "PositionCanonical: internal small sorted lists, use `POSITION_SORTED_LIST'",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsSSortedList",
+                            "Tester(IS_SSORT_LIST)",
+                            "IsInternalRep",
+                            "IsSmallList",
+                            "Tester(IsSmallList)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 1390
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "PositionCanonical: for internally represented lists, fall back on `Position'",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsInternalRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 1377
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "PositionCanonical: for right transversal of perm. group, and permutation",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsRightTransversalPermGroupRep"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetperm.gi",
+                        "line": 137
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "PositionCanonical: right transversal fp gp.",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsRightTransversalFpGroupRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 5222
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "PositionCanonical: RT",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsRightTransversalPcGroupRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetpc.gi",
+                        "line": 305
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "PositionCanonical: factored transversal",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsFactoredTransversalRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 1219
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "PositionCanonical: rt via coset",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsRightTransversalViaCosetsRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 1107
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "PositionCanonical: enum-by-niceo",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsEnumeratorByNiceomorphismRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 1087
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "PositionCanonical: enum-by-pcgs",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsEnumeratorByPcgsRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1374
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "PositionCanonical: for enumerator by functions",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsDenseList",
+                            "IsDuplicateFree",
+                            "Tester(IsDuplicateFree)",
+                            "IsEnumeratorByFunctionsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/coll.gi",
+                        "line": 458
+                    },
+                    "rank": 7
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PositionCanonical",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PositionNthOccurrence"
+        ],
+        "filters": [
+            [
+                [
+                    "IsList"
+                ],
+                [],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/list.gd",
+                "line": 734
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "PositionNthOccurrence: for boolean list, boolean, integer",
+                    "filters": [
+                        [
+                            "IsBlist"
+                        ],
+                        [
+                            "IsBool"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 1424
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "PositionNthOccurrence: for list, object, integer",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 1411
+                    },
+                    "rank": 20
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PositionNthOccurrence",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PositionSortedOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsList"
+                ],
+                []
+            ],
+            [
+                [
+                    "IsList"
+                ],
+                [],
+                [
+                    "IsFunction"
+                ]
+            ],
+            [
+                [
+                    "IsMatrixObj"
+                ],
+                [
+                    "IsRowVectorObj"
+                ]
+            ],
+            [
+                [
+                    "IsMatrixObj"
+                ],
+                [
+                    "IsRowVectorObj"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/list.gd",
+                "line": 797
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/list.gd",
+                "line": 798
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 409
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 410
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "PositionSortedOp: for a plist matrix, and a plist vector",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ],
+                        [
+                            "IsPlistVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1131
+                    },
+                    "rank": 26
+                },
+                {
+                    "aka": [
+                        "POSITION_SORTED_LIST"
+                    ],
+                    "comment": "PositionSortedOp: for small list, and object",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsSmallList",
+                            "Tester(IsSmallList)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 1448
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "PositionSortedOp",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 1458
+                    },
+                    "rank": 2
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "PositionSortedOp: for a plist matrix, and a plist vector",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ],
+                        [
+                            "IsPlistVectorRep"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1137
+                    },
+                    "rank": 27
+                },
+                {
+                    "aka": [
+                        "POSITION_SORTED_LIST_COMP"
+                    ],
+                    "comment": "PositionSortedOp: for small list, object, and function",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsSmallList",
+                            "Tester(IsSmallList)"
+                        ],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 1463
+                    },
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+                        [
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+                        [
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+                        [
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+                        [
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
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+                        [
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+                            "IsEmpty",
+                            "Tester(IsEmpty)"
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+                        [
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+                        [
+                            "IsInt"
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+                        [
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+                        [
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+                        [
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
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+                        [
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+                            "IsEmpty",
+                            "Tester(IsEmpty)"
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+                        [
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+                        [
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+                        [
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+                        [
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+                            "IsPlistMatrixRep",
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+                        [
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+                            "Tester(IS_SSORT_LIST)",
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+                        [
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+                            "IsPosRat"
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+                        [
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+                            "IsList"
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+                            "IsInt",
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+                            "IsList"
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+                        [
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+                            "IsMutable",
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+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
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+                {
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+                },
+                {
+                    "comment": "NestingDepthM",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 63
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NestingDepthM",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetNestingDepthM"
+        ],
+        "filters": [
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 692
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(NestingDepthM): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 692
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(NestingDepthM): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 692
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(NestingDepthM)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasNestingDepthM"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 692
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(NestingDepthM)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithZero",
+                    "IsAdditiveElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1321
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsZero: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 1321
+                    },
+                    "rank": 20007
+                },
+                {
+                    "comment": "IsZero: for null map matrix",
+                    "filters": [
+                        [
+                            "IsNullMapMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 253
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "IsZero: method for a matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 1132
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "IsZero",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 952
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "IsZero: for a plist matrix",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1507
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "IsZero",
+                    "filters": [
+                        [
+                            "IsPadicExtensionNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 957
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "IsZero",
+                    "filters": [
+                        [
+                            "IsPurePadicNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 528
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "IsZero: for a row vector",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 763
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "IsZero: for a plist vector",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 701
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "IsZero: for general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 151
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "IsZero: for an additive-element-with-zero",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithZero",
+                            "IsAdditiveElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 184
+                    },
+                    "rank": 4
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsZero",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsZero"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithZero",
+                    "IsAdditiveElement"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1321
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsZero): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 1321
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsZero): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 1321
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsZero)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithZero",
+                    "IsAdditiveElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1321
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsZero)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMultiplicativeElementWithOne"
+                ]
+            ],
+            [
+                [
+                    "IsReesMatrixSemigroupElement"
+                ]
+            ],
+            [
+                [
+                    "IsReesZeroMatrixSemigroupElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1339
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsOne: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 1339
+                    },
+                    "rank": 20007
+                },
+                {
+                    "comment": "IsOne: straight line program perms",
+                    "filters": [
+                        [
+                            "IsPerm",
+                            "IsStraightLineProgElm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1920
+                    },
+                    "rank": 110
+                },
+                {
+                    "comment": "IsOne: object with memory",
+                    "filters": [
+                        [
+                            "IsObjWithMemory"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 307
+                    },
+                    "rank": 107
+                },
+                {
+                    "comment": "IsOne: method for s.v. gen. mapping that is a field homomorphism",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1192
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "IsOne: method for s.v. gen. mapping that respect add.,add.inv.,mult.,one,scal. mult.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsOne",
+                            "Tester(RespectsOne)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1182
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "IsOne: method for s.v. gen. mapping that respect add.,add.inv.,mult.,scal. mult.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1171
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "IsOne: method for s.v. gen. mapping that respect mult.,one,add.,add.inv.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsOne",
+                            "Tester(RespectsOne)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1149
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "IsOne: using `MappingGeneratorsImages'",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "Tester(MappingGeneratorsImages)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 185
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "IsOne",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 974
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "IsOne: method for s.v. gen. mapping that respect add.,add.inv.,scal. mult.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1160
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "IsOne: method for s.v. gen. mapping that respect mult.,add.,add.inv.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1138
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "IsOne: for a plist matrix",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1528
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "IsOne: method for s.v. gen. mapping that respect add. and add. inv.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1127
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "IsOne: method for s.v. gen. mapping that respect mult. and inv.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1097
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "IsOne: method for s.v. gen. mapping that respect add. and zero",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsZero",
+                            "Tester(RespectsZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1117
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "IsOne: method for s.v. gen. mapping that respect mult. and one",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsOne",
+                            "Tester(RespectsOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1087
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "IsOne: method for s.v. gen. mapping that respect add.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1107
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "IsOne: method for s.v. gen. mapping that respect mult.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1077
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "IsOne: method for s.v. gen. mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1067
+                    },
+                    "rank": 9
+                },
+                {
+                    "aka": [
+                        "IS_IDEM_PPERM"
+                    ],
+                    "comment": "IsOne: for a partial perm",
+                    "filters": [
+                        [
+                            "IsPartialPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pperm.gi",
+                        "line": 47
+                    },
+                    "rank": 7
+                },
+                {
+                    "aka": [
+                        "IS_ID_TRANS"
+                    ],
+                    "comment": "IsOne: for a transformation",
+                    "filters": [
+                        [
+                            "IsTransformation"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/trans.gi",
+                        "line": 253
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "IsOne: for a Rees 0-matrix semigroup element",
+                    "filters": [
+                        [
+                            "IsReesZeroMatrixSemigroupElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 115
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "IsOne: for a Rees matrix semigroup element",
+                    "filters": [
+                        [
+                            "IsReesMatrixSemigroupElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 98
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "IsOne: for a multiplicative-element-with-one",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithOne"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 362
+                    },
+                    "rank": 4
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsOne",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsOne"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMultiplicativeElementWithOne"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1339
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsOne): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 1339
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsOne): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
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+                    ],
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+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
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+                    "filters": [
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+                        "line": 632
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+                    "filters": [
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+                            "IsPackedElementDefaultRep",
+                            "IsUEALatticeElement"
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+                        "line": 1455
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+                    "filters": [
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+                            "IsCochain",
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+                        "line": 342
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+                    "filters": [
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+                            "IsElementOfFpAlgebra"
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+                    "filters": [
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+                        "line": 650
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+                    "filters": [
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+                            "IsPackedElementDefaultRep",
+                            "IsWeightRepElement"
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+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 2869
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+                    "filters": [
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+                            "IsPackedElementDefaultRep",
+                            "IsCochain"
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+                        "line": 334
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+                    "filters": [
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+                            "IsDirectSumElement"
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+                        "line": 3267
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+                    "filters": [
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+                            "IsSparseRowSpaceElement"
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+                        "line": 2858
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+                    "filters": [
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+                            "IsMonomialElementRep"
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+                        "line": 1365
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+                    "filters": [
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+                            "IsAlgebraModuleElement"
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+                        "line": 681
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+                            "IsAdditiveElement",
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+                            "IsAdditiveElement"
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+                            "IsListDefault",
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+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
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+                    ],
+                    "comment": "+: for linear m.b.m. and linear m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsLinearMappingByMatrixDefaultRep"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1601
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "+: method for two right ideals",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(RightActingRingOfIdeal)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(RightActingRingOfIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 694
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "+: method for two left ideals",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(LeftActingRingOfIdeal)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(LeftActingRingOfIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 679
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "+: for two rings",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 1175
+                    },
+                    "rank": 52
+                },
+                {
+                    "aka": [
+                        "SUM_VEC8BIT_VEC8BIT"
+                    ],
+                    "comment": "+: For two 8 bit vectors in same characteristic",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 198
+                    },
+                    "rank": 50
+                },
+                {
+                    "aka": [
+                        "SUM_GF2VEC_GF2VEC"
+                    ],
+                    "comment": "+: for GF2 vectors",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsListDefault",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsListDefault",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 348
+                    },
+                    "rank": 50
+                },
+                {
+                    "comment": "+: For an 8 bit vector of char 2 and a GF2 vector",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 222
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "+: For a GF2 vector and an 8 bit vector of char 2",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 210
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "+: for two left modules",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/module.gi",
+                        "line": 283
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "+: for a grv, and an ordinary block matrix",
+                    "filters": [
+                        [
+                            "IsGeneralizedRowVector"
+                        ],
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 345
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "+: for an ordinary block matrix, and a grv",
+                    "filters": [
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ],
+                        [
+                            "IsGeneralizedRowVector"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 337
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "+: for ring ring general mapping and ring g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "IsRingGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 306
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "+: for ring g.m.b.i. and ring general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "IsRingGeneralMappingByImagesDefaultRep"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 287
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "+: for mapping and linear m.b.m.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsLinearMappingByMatrixDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1608
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "+: for linear m.b.m. and mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsLinearMappingByMatrixDefaultRep"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1601
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "+: for mapping and linear m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1015
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "+: for linear m.b.i. and mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 944
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "+: for internal FFE and element in Z/pZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsLogOrderedFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 317
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "+: for element in Z/pZ (ModulusRep) and internal FFE",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsLogOrderedFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 311
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "+",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 703
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "+: for integer and element in Z/nZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 275
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "+: for element in Z/nZ (ModulusRep) and integer",
+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 265
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "+: BFElm+BFElm",
+                    "filters": [
+                        [
+                            "IsAlgBFRep"
+                        ],
+                        [
+                            "IsAlgBFRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 404
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "+: BFElm+AlgElm",
+                    "filters": [
+                        [
+                            "IsAlgBFRep"
+                        ],
+                        [
+                            "IsKroneckerConstRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 395
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "+: AlgElm+BFElm",
+                    "filters": [
+                        [
+                            "IsKroneckerConstRep"
+                        ],
+                        [
+                            "IsAlgBFRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 385
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "+: AlgElm+AlgElm",
+                    "filters": [
+                        [
+                            "IsKroneckerConstRep"
+                        ],
+                        [
+                            "IsKroneckerConstRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 376
+                    },
+                    "rank": 34
+                },
+                {
+                    "aka": [
+                        "SUM_LAURPOLS"
+                    ],
+                    "comment": "+: laurent + laurent",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction",
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ],
+                        [
+                            "IsPolynomialFunction",
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 395
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "+",
+                    "filters": [
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "IsListDefault"
+                        ],
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "IsListDefault"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 3008
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "+: for rational and element in Z/nZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 305
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "+: for element in Z/nZ (ModulusRep) and rational",
+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 290
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "+: for two checking plist matrices",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep",
+                            "IsCheckingMatrix"
+                        ],
+                        [
+                            "IsPlistMatrixRep",
+                            "IsCheckingMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1344
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "+",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 710
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "+",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 710
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "+: for a rational and a FFE",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 76
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "+: for a FFE and a rational",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 68
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "+: for two elements in Z/nZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 255
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "+: for two unknowns",
+                    "filters": [
+                        [
+                            "IsUnknown"
+                        ],
+                        [
+                            "IsUnknown"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/unknown.gi",
+                        "line": 173
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "+: for cyclotomic and unknown",
+                    "filters": [
+                        [
+                            "IsCyc"
+                        ],
+                        [
+                            "IsUnknown"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/unknown.gi",
+                        "line": 168
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "+: for unknown and cyclotomic",
+                    "filters": [
+                        [
+                            "IsUnknown"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/unknown.gi",
+                        "line": 157
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "+: for general mapping and algebra g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 704
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "+: for an algebra g.m.b.i. and general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ],
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 695
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "+: for `-infinity' and `-infinity'",
+                    "filters": [
+                        [
+                            "IsNegInfinity"
+                        ],
+                        [
+                            "IsNegInfinity"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 555
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "+: for cyclotomic and `-infinity'",
+                    "filters": [
+                        [
+                            "IsCyc"
+                        ],
+                        [
+                            "IsNegInfinity"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 551
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "+: for `-infinity' and cyclotomic",
+                    "filters": [
+                        [
+                            "IsNegInfinity"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 547
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "+: for `infinity' and `infinity'",
+                    "filters": [
+                        [
+                            "IsInfinity"
+                        ],
+                        [
+                            "IsInfinity"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 543
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "+: for cyclotomic and `infinity'",
+                    "filters": [
+                        [
+                            "IsCyc"
+                        ],
+                        [
+                            "IsInfinity"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 539
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "+: for `infinity' and cyclotomic",
+                    "filters": [
+                        [
+                            "IsInfinity"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 535
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "+: for object, and class function",
+                    "filters": [
+                        [],
+                        [
+                            "IsClassFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 240
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "+: for class function, and object",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 224
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "+: for two plist matrices",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ],
+                        [
+                            "IsPlistMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1321
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "+",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 733
+                    },
+                    "rank": 30
+                },
+                {
+                    "aka": [
+                        "SUM_UNIVFUNCS"
+                    ],
+                    "comment": "+: univariate + univariate",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1505
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "+: for general mapping and linear g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 864
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "+: for linear g.m.b.i. and general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ],
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 802
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "+: for two direct product elements",
+                    "filters": [
+                        [
+                            "IsDirectProductElement"
+                        ],
+                        [
+                            "IsDirectProductElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 392
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "+: for float and rational",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 996
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "+: for rational and float",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 994
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "+",
+                    "filters": [
+                        [
+                            "IsPadicExtensionNumber"
+                        ],
+                        [
+                            "IsPadicExtensionNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 1167
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "+",
+                    "filters": [
+                        [
+                            "IsPurePadicNumber"
+                        ],
+                        [
+                            "IsPurePadicNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 650
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "+: zmodnze : for cyclotomic and element in Z/nZ(m) (ZmodnZepsRep)",
+                    "filters": [
+                        [
+                            "IsCyclotomic"
+                        ],
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 208
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "+: zmodnze : for element in Z/nZ(m) (ZmodnZepsRep) and cyclotomic",
+                    "filters": [
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ],
+                        [
+                            "IsCyclotomic"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 201
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "+: polynomial + polynomial",
+                    "filters": [
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 883
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "+: zmodnze : for two elements in Z/nZ(m) (ZmodnZepsRep)",
+                    "filters": [
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ],
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 194
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "+: rat-fun + rat-fun",
+                    "filters": [
+                        [
+                            "IsRationalFunction"
+                        ],
+                        [
+                            "IsRationalFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 1226
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "+: for s. c. ring elements in dense vector rep.",
+                    "filters": [
+                        [
+                            "IsSCRingObj",
+                            "IsDenseCoeffVectorRep"
+                        ],
+                        [
+                            "IsSCRingObj",
+                            "IsDenseCoeffVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 213
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "+: for two Lie objects in default representation",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 187
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "+: for s. c. algebra elements in dense vector rep.",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj",
+                            "IsDenseCoeffVectorRep"
+                        ],
+                        [
+                            "IsSCAlgebraObj",
+                            "IsDenseCoeffVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 334
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "+: for floats",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ],
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 998
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "+: FElm+BFElm",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsAlgBFRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 442
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "+: BFElm+FElm",
+                    "filters": [
+                        [
+                            "IsAlgBFRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 433
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "+: FElm+AlgElm",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsKroneckerConstRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 424
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "+: AlgElm+FElm",
+                    "filters": [
+                        [
+                            "IsKroneckerConstRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 414
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "+: laurent + coeff",
+                    "filters": [
+                        [
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)",
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 548
+                    },
+                    "rank": 25
+                },
+                {
+                    "aka": [
+                        "SumCoeffLaurpol"
+                    ],
+                    "comment": "+: coeff + laurent",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)",
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 544
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "+: laurent + coeff(embed)",
+                    "filters": [
+                        [
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)",
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 539
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "+: coeff(embed) + laurent",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)",
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 526
+                    },
+                    "rank": 25
+                },
+                {
+                    "aka": [
+                        "SUM_LIST_SCL_DEFAULT"
+                    ],
+                    "comment": "+: for a default list, and a direct product element",
+                    "filters": [
+                        [
+                            "IsListDefault"
+                        ],
+                        [
+                            "IsDirectProductElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 434
+                    },
+                    "rank": 25
+                },
+                {
+                    "aka": [
+                        "SUM_SCL_LIST_DEFAULT"
+                    ],
+                    "comment": "+: for a direct product element, and a default list",
+                    "filters": [
+                        [
+                            "IsDirectProductElement"
+                        ],
+                        [
+                            "IsListDefault"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 429
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "+: for two checking plist vectors",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep",
+                            "IsCheckingVector"
+                        ],
+                        [
+                            "IsPlistVectorRep",
+                            "IsCheckingVector"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 385
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "+: for two UEALattice elements",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsUEALatticeElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsUEALatticeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 1484
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "+: for binary relations on points",
+                    "filters": [
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ],
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1286
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "+: for zero mapping and general mapping",
+                    "filters": [
+                        [
+                            "IsZero",
+                            "Tester(IsZero)",
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 796
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "+: for general mapping and zero mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsZero",
+                            "Tester(IsZero)",
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 783
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "+: for two info selectors",
+                    "filters": [
+                        [
+                            "IsSSortedList",
+                            "Tester(IS_SSORT_LIST)",
+                            "CategoryCollections(IsInfoClass)"
+                        ],
+                        [
+                            "IsSSortedList",
+                            "Tester(IS_SSORT_LIST)",
+                            "CategoryCollections(IsInfoClass)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/info.gi",
+                        "line": 240
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "+: univariate + coeff",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1609
+                    },
+                    "rank": 23
+                },
+                {
+                    "aka": [
+                        "SumCoeffUnivfunc"
+                    ],
+                    "comment": "+: coeff + univariate",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1605
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "+: for two plist vectors",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
+                        ],
+                        [
+                            "IsPlistVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 363
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "+: coeff + polynomial ",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 1044
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "+: polynomial + coeff",
+                    "filters": [
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 1038
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "+: for two 0-cochains",
+                    "filters": [
+                        [
+                            "IsCochain",
+                            "IsZeroCochainRep"
+                        ],
+                        [
+                            "IsCochain",
+                            "IsZeroCochainRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 209
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "+: for s. c. algebra elements",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj"
+                        ],
+                        [
+                            "IsSCAlgebraObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 325
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "+: fp algebra elements",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsElementOfFpAlgebra"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsElementOfFpAlgebra"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 477
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "+: for two magma ring elements",
+                    "filters": [
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ],
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 319
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "+: for ring element, and Lie object in default representation",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 215
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "+: for Lie object in default representation, and ring element",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 201
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "+: coeff + ratfun ",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsPolynomialFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 1267
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "+: ratfun + coeff",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 1261
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "+: for weight rep elements",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsWeightRepElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsWeightRepElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 2808
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "+: for two cochains",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsCochain"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsCochain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 200
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "+: for direct sum elements",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsDirectSumElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsDirectSumElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 3277
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "+: for sparse rowspace elements",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsSparseRowSpaceElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsSparseRowSpaceElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 2876
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "+: for monomial elements",
+                    "filters": [
+                        [
+                            "IsMonomialElement",
+                            "IsMonomialElementRep"
+                        ],
+                        [
+                            "IsMonomialElement",
+                            "IsMonomialElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 1396
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "+: for two algebra module elements in packed representation",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsAlgebraModuleElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsAlgebraModuleElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 644
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "+: for additive element and additive group",
+                    "filters": [
+                        [
+                            "IsAdditiveElement"
+                        ],
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addcoset.gi",
+                        "line": 88
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "+: for additive group and additive element",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ],
+                        [
+                            "IsAdditiveElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addcoset.gi",
+                        "line": 80
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "+: for a vector and an algebra module element in packed representation",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsAlgebraModuleElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 657
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "+: for an algebra module element in packed representation and a vector",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsAlgebraModuleElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 650
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "+",
+                    "filters": [
+                        [],
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "IsListDefault"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 2861
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "+",
+                    "filters": [
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "IsListDefault"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 2851
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "+: univariate + rat",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1620
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "+: rat + univariate",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1615
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "+: for additive element and additive coset",
+                    "filters": [
+                        [
+                            "IsAdditiveElement"
+                        ],
+                        [
+                            "IsAdditiveCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addcoset.gi",
+                        "line": 112
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "+: for additive coset and additive element",
+                    "filters": [
+                        [
+                            "IsAdditiveCoset"
+                        ],
+                        [
+                            "IsAdditiveElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addcoset.gi",
+                        "line": 103
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "+: for a non-list, and a direct product element",
+                    "filters": [
+                        [],
+                        [
+                            "IsDirectProductElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 464
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "+: for a direct product element, and a non-list",
+                    "filters": [
+                        [
+                            "IsDirectProductElement"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 454
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "+: for magma ring element and magma element",
+                    "filters": [
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 566
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "+: for magma element and magma ring element",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 551
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "+: for info selector and info class",
+                    "filters": [
+                        [
+                            "IsSSortedList",
+                            "Tester(IS_SSORT_LIST)",
+                            "CategoryCollections(IsInfoClass)"
+                        ],
+                        [
+                            "IsInfoClass"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/info.gi",
+                        "line": 233
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "+: for info class and info selector",
+                    "filters": [
+                        [
+                            "IsInfoClass"
+                        ],
+                        [
+                            "IsSSortedList",
+                            "Tester(IS_SSORT_LIST)",
+                            "CategoryCollections(IsInfoClass)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/info.gi",
+                        "line": 226
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "+: rat + ratfun ",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsPolynomialFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 1279
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "+: ratfun + rat",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 1273
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "+: for two info classes",
+                    "filters": [
+                        [
+                            "IsInfoClass"
+                        ],
+                        [
+                            "IsInfoClass"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/info.gi",
+                        "line": 219
+                    },
+                    "rank": 2
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "+",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1497
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "AdditiveInverseImmutable: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(AdditiveInverseImmutable)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 1497
+                    },
+                    "rank": 20008
+                },
+                {
+                    "comment": "AdditiveInverseImmutable: for GF2 matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsListDefault",
+                            "IsGF2MatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 226
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "AdditiveInverseImmutable: 8 bit matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "IsNearAdditiveElementWithZero",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "IsAdditiveElement",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "Is8BitMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mat8bit.gi",
+                        "line": 554
+                    },
+                    "rank": 44
+                },
+                {
+                    "aka": [
+                        "AINV_VEC8BIT_IMMUTABLE"
+                    ],
+                    "comment": "AdditiveInverseImmutable: For an 8 bit vector",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 442
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "AdditiveInverseImmutable: for GF2 vector",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsListDefault",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 226
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "AdditiveInverseImmutable: for a plist matrix",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1450
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "AdditiveInverseImmutable: for a plist vector",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 664
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "AdditiveInverseImmutable: for a zero element",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsZero",
+                            "Tester(IsZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 226
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "AdditiveInverseImmutable: for any object (call `AINV')",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 203
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AdditiveInverseImmutable",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetAdditiveInverse",
+            "SetAdditiveInverseAttr",
+            "SetAdditiveInverseImmutable"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1497
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(AdditiveInverseImmutable): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 1497
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(AdditiveInverseImmutable): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 1497
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(AdditiveInverseImmutable)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasAdditiveInverse",
+            "HasAdditiveInverseAttr",
+            "HasAdditiveInverseImmutable"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1497
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(AdditiveInverseImmutable)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AINV_MUT",
+            "AdditiveInverseMutable",
+            "AdditiveInverseOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1502
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "AdditiveInverseMutable: for GF2 matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsListDefault",
+                            "IsGF2MatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 747
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "AdditiveInverseMutable: 8 bit matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "IsNearAdditiveElementWithZero",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "IsAdditiveElement",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "Is8BitMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mat8bit.gi",
+                        "line": 538
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "AdditiveInverseMutable: for an ordinary block matrix",
+                    "filters": [
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 360
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "AdditiveInverseMutable: for a virtual character",
+                    "filters": [
+                        [
+                            "IsClassFunction",
+                            "IsVirtualCharacter",
+                            "Tester(IsVirtualCharacter)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 291
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "AdditiveInverseMutable: for a class function",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 284
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "AdditiveInverseMutable: for a null map matrix",
+                    "filters": [
+                        [
+                            "IsNullMapMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 275
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "AdditiveInverseMutable: for empty row vector",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsEmptyRowVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rvecempt.gi",
+                        "line": 145
+                    },
+                    "rank": 28
+                },
+                {
+                    "aka": [
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+                    ],
+                    "comment": "AdditiveInverseMutable: For an 8 bit vector",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 422
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "AdditiveInverseMutable: for GF2 vector",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsListDefault",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 249
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "AdditiveInverseMutable: for algebra g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 600
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "AdditiveInverseMutable: for ring g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsRingGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 268
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "AdditiveInverseMutable: for linear m.b.m.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearMappingByMatrixDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1466
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "AdditiveInverseMutable: for linear g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 670
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "AdditiveInverseMutable",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 881
+                    },
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+                },
+                {
+                    "comment": "AdditiveInverseMutable: BFElm",
+                    "filters": [
+                        [
+                            "IsAlgBFRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 456
+                    },
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+                },
+                {
+                    "comment": "AdditiveInverseMutable: AlgElm",
+                    "filters": [
+                        [
+                            "IsKroneckerConstRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 451
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "AdditiveInverseMutable: laurent polynomial",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction",
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
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+                    },
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+                },
+                {
+                    "aka": [
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+                    "comment": "AdditiveInverseMutable",
+                    "filters": [
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "IsListDefault"
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+                    ],
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+                    },
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+                },
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+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
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+                    ],
+                    "location": {
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+                        "line": 591
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+                },
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+                    "filters": [
+                        [
+                            "IsUnknown"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 217
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsNegInfinity"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 531
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsInfinity"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 527
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+                    "rank": 16
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
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+                    ],
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+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1462
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "AdditiveInverseMutable: univariate",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsDirectProductElement"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 366
+                    },
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+                },
+                {
+                    "comment": "AdditiveInverseMutable",
+                    "filters": [
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+                            "IsPadicExtensionNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 1046
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "AdditiveInverseMutable",
+                    "filters": [
+                        [
+                            "IsPurePadicNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
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+                    },
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+                {
+                    "aka": [
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+                    ],
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+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
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+                    ],
+                    "location": {
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+                    },
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+                },
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+                    "filters": [
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 290
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+                {
+                    "aka": [
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+                        [
+                            "IsRationalFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 833
+                    },
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+                },
+                {
+                    "comment": "AdditiveInverseMutable: for Lie object in default representation",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 361
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+                },
+                {
+                    "comment": "AdditiveInverseMutable: for UEALattice element",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsUEALatticeElement"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 1500
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "AdditiveInverseMutable: for a plist vector",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
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+                    ],
+                    "location": {
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+                },
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+                    "filters": [
+                        [
+                            "IsSCRingObj"
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+                    ],
+                    "location": {
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+                    },
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+                },
+                {
+                    "comment": "AdditiveInverseMutable: for a 0-cochain",
+                    "filters": [
+                        [
+                            "IsCochain",
+                            "IsZeroCochainRep"
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+                    ],
+                    "location": {
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+                        "line": 235
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsSCAlgebraObj"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 460
+                    },
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+                },
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+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsElementOfFpAlgebra"
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+                    ],
+                    "location": {
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+                },
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+                    "filters": [
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
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+                    ],
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+                },
+                {
+                    "comment": "AdditiveInverseMutable: for a weight rep element",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsWeightRepElement"
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+                    ],
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+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 2824
+                    },
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+                },
+                {
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+                    "filters": [
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+                            "IsPackedElementDefaultRep",
+                            "IsCochain"
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+                    ],
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+                        "line": 227
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+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsDirectSumElement"
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+                    ],
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+                        "line": 3285
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+                },
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+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsSparseRowSpaceElement"
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+                    ],
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+                    "filters": [
+                        [
+                            "IsMonomialElement",
+                            "IsMonomialElementRep"
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+                    ],
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+                        "line": 1414
+                    },
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+                },
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+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsAlgebraModuleElement"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 662
+                    },
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+                },
+                {
+                    "comment": "AdditiveInverseMutable: for a (non-copyable) zero element",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsZero",
+                            "Tester(IsZero)"
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+                    ],
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+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsListDefault",
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+                    ],
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+                        "line": 777
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+                },
+                {
+                    "comment": "AdditiveInverseSameMutability: 8 bit matrix",
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+                        [
+                            "IsTable",
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "IsNearAdditiveElementWithZero",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
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+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "Is8BitMatrixRep"
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+                    ],
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+                },
+                {
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+                        [
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+                },
+                {
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+                        [
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+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
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+                            "IsListDefault",
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+                            "IsListDefault",
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+                [
+                    "IsNearAdditiveElementWithInverse"
+                ]
+            ],
+            [
+                [
+                    "IsEndoGeneralMapping",
+                    "Tester(IsEndoGeneralMapping)"
+                ],
+                [
+                    "IsEndoGeneralMapping",
+                    "Tester(IsEndoGeneralMapping)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1515
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/relation.gd",
+                "line": 664
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "-: for GF2 matrix and GF2 matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsListDefault",
+                            "IsGF2MatrixRep"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsListDefault",
+                            "IsGF2MatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1096
+                    },
+                    "rank": 90
+                },
+                {
+                    "aka": [
+                        "DIFF_MAT8BIT_MAT8BIT"
+                    ],
+                    "comment": "-: For two 8 bit matrices in same characteristic",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "Is8BitMatrixRep"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "Is8BitMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mat8bit.gi",
+                        "line": 211
+                    },
+                    "rank": 88
+                },
+                {
+                    "aka": [
+                        "DIFF_VEC8BIT_VEC8BIT"
+                    ],
+                    "comment": "-: For two 8bit vectors",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 388
+                    },
+                    "rank": 50
+                },
+                {
+                    "comment": "-: for GF2 vectors",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsListDefault",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsListDefault",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 362
+                    },
+                    "rank": 50
+                },
+                {
+                    "comment": "-: For an 8 bit vector of char 2 and a GF2 vector",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 412
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "-: For a GF2 vector and an 8 bit vector of char 2",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 400
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "-: for internal FFE and element in Z/pZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsLogOrderedFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 391
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "-: for element in Z/pZ (ModulusRep) and internal FFE",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsLogOrderedFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 385
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "-: for two unknowns in default representation",
+                    "filters": [
+                        [
+                            "IsUnknown",
+                            "IsUnknownDefaultRep"
+                        ],
+                        [
+                            "IsUnknown",
+                            "IsUnknownDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/unknown.gi",
+                        "line": 212
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "-",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 774
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "-: for integer and element in Z/nZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 349
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "-: for element in Z/nZ (ModulusRep) and integer",
+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 339
+                    },
+                    "rank": 34
+                },
+                {
+                    "aka": [
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+                    ],
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+                    "filters": [
+                        [
+                            "IsPolynomialFunction",
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ],
+                        [
+                            "IsPolynomialFunction",
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 406
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "-",
+                    "filters": [
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "IsListDefault"
+                        ],
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "IsListDefault"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 3065
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "-: for rational and element in Z/nZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 379
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "-: for element in Z/nZ (ModulusRep) and rational",
+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 364
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "-: for two checking plist matrices",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep",
+                            "IsCheckingMatrix"
+                        ],
+                        [
+                            "IsPlistMatrixRep",
+                            "IsCheckingMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1380
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "-",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 781
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "-",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 781
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "-: for two elements in Z/nZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 329
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "-: for cyclotomic and unknown",
+                    "filters": [
+                        [
+                            "IsCyc"
+                        ],
+                        [
+                            "IsUnknown"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/unknown.gi",
+                        "line": 200
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "-: for unknown and cyclotomic",
+                    "filters": [
+                        [
+                            "IsUnknown"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/unknown.gi",
+                        "line": 193
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "-: for two plist matrices",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ],
+                        [
+                            "IsPlistMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1357
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "-",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 797
+                    },
+                    "rank": 30
+                },
+                {
+                    "aka": [
+                        "DIFF_UNIVFUNCS"
+                    ],
+                    "comment": "-: univariate - univariate",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1517
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "-: for float and rational",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 1003
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "-: for rational and float",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 1001
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "-",
+                    "filters": [
+                        [
+                            "IsPadicExtensionNumber"
+                        ],
+                        [
+                            "IsPadicExtensionNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 1195
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "-: for s. c. ring elements in dense vector rep.",
+                    "filters": [
+                        [
+                            "IsSCRingObj",
+                            "IsDenseCoeffVectorRep"
+                        ],
+                        [
+                            "IsSCRingObj",
+                            "IsDenseCoeffVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 225
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "-: for two Lie objects in default representation",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 222
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "-: for s. c. algebra elements in dense vector rep.",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj",
+                            "IsDenseCoeffVectorRep"
+                        ],
+                        [
+                            "IsSCAlgebraObj",
+                            "IsDenseCoeffVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 351
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "-: for floats",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ],
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 1005
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "-: for two checking plist vectors",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep",
+                            "IsCheckingVector"
+                        ],
+                        [
+                            "IsPlistVectorRep",
+                            "IsCheckingVector"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 420
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "-: for binary relations on points",
+                    "filters": [
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ],
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1299
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "-: for two plist vectors",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
+                        ],
+                        [
+                            "IsPlistVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 398
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "-: for s. c. algebra elements",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj"
+                        ],
+                        [
+                            "IsSCAlgebraObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 342
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "-: fp algebra elements",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsElementOfFpAlgebra"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsElementOfFpAlgebra"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 491
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "-: for ring element, and Lie object in default representation",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 250
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "-: for Lie object in default representation, and ring element",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 236
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "-",
+                    "filters": [
+                        [
+                            "IsGeneralizedRowVector"
+                        ],
+                        [
+                            "IsGeneralizedRowVector"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 3028
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "-: for magma ring element and magma element",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 594
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "-: for magma ring element and magma element",
+                    "filters": [
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 583
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "-",
+                    "filters": [
+                        [],
+                        [
+                            "IsGeneralizedRowVector"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 3046
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "-",
+                    "filters": [
+                        [
+                            "IsGeneralizedRowVector"
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 3037
+                    },
+                    "rank": 8
+                },
+                {
+                    "aka": [
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+                    "filters": [
+                        [
+                            "IsExtAElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 251
+                    },
+                    "rank": 5
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
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+    {
+        "aka": [
+            "*",
+            "PROD"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtRElement"
+                ],
+                [
+                    "IsExtLElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1522
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "*: additive element with zero * zero integer",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithZero"
+                        ],
+                        [
+                            "IsInt",
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 558
+                    },
+                    "rank": 10024
+                },
+                {
+                    "aka": [
+                        "PROD_INT_OBJ"
+                    ],
+                    "comment": "*: zero integer * additive element with zero",
+                    "filters": [
+                        [
+                            "IsInt",
+                            "IsZeroCyc"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithZero"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 529
+                    },
+                    "rank": 10024
+                },
+                {
+                    "comment": "*: objects with memory",
+                    "filters": [
+                        [
+                            "IsObjWithMemory"
+                        ],
+                        [
+                            "IsObjWithMemory"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 195
+                    },
+                    "rank": 214
+                },
+                {
+                    "comment": "*: straight line program elements",
+                    "filters": [
+                        [
+                            "IsStraightLineProgElm"
+                        ],
+                        [
+                            "IsStraightLineProgElm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1522
+                    },
+                    "rank": 214
+                },
+                {
+                    "comment": "*: for a row vector and a matrix with memory",
+                    "filters": [
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "IsListDefault"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsObjWithMemory"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 386
+                    },
+                    "rank": 151
+                },
+                {
+                    "comment": "*: for a matrix with memory and a scalar",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsObjWithMemory"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 398
+                    },
+                    "rank": 144
+                },
+                {
+                    "comment": "*: for a scalar and a matrix with memory",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsObjWithMemory"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 392
+                    },
+                    "rank": 144
+                },
+                {
+                    "comment": "*: x with straight line program element",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsStraightLineProgElm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1073
+                    },
+                    "rank": 110
+                },
+                {
+                    "comment": "*: straight line program element with x",
+                    "filters": [
+                        [
+                            "IsStraightLineProgElm"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1066
+                    },
+                    "rank": 110
+                },
+                {
+                    "comment": "*: More efficient non-recursive kernel method for vector*matrix of cyclotomics",
+                    "filters": [
+                        [
+                            "IsPlistRep",
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsListDefault"
+                        ],
+                        [
+                            "IsPlistRep",
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "CategoryCollections(CategoryCollections(IsCyclotomic))",
+                            "IsListDefault",
+                            "IsRectangularTable",
+                            "Tester(IsRectangularTable)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 3369
+                    },
+                    "rank": 96
+                },
+                {
+                    "comment": "*: More efficient non-recursive method for matrix*matrix of cyclotomics",
+                    "filters": [
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "CategoryCollections(CategoryCollections(IsCyclotomic))",
+                            "IsListDefault"
+                        ],
+                        [
+                            "IsPlistRep",
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "CategoryCollections(CategoryCollections(IsCyclotomic))",
+                            "IsListDefault",
+                            "IsRectangularTable",
+                            "Tester(IsRectangularTable)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 3387
+                    },
+                    "rank": 95
+                },
+                {
+                    "aka": [
+                        "PROD_GF2MAT_GF2MAT"
+                    ],
+                    "comment": "*: for GF2 matrix and GF2 matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsListDefault",
+                            "IsGF2MatrixRep"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsListDefault",
+                            "IsGF2MatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1150
+                    },
+                    "rank": 90
+                },
+                {
+                    "aka": [
+                        "PROD_MAT8BIT_MAT8BIT"
+                    ],
+                    "comment": "*: 8 bit matrix * 8 bit matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "Is8BitMatrixRep"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "Is8BitMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mat8bit.gi",
+                        "line": 462
+                    },
+                    "rank": 88
+                },
+                {
+                    "comment": "*: for two empty matrices",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
+                            "IsTable",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 1503
+                    },
+                    "rank": 84
+                },
+                {
+                    "aka": [
+                        "PROD_GF2VEC_GF2MAT"
+                    ],
+                    "comment": "*: for GF2 vector and GF2 matrix",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                            "IsAdditiveElement",
+                            "CategoryCollections(IsAdditiveElement)",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "CategoryCollections(IsMultiplicativeElement)",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsListDefault",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsListDefault",
+                            "IsGF2MatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1109
+                    },
+                    "rank": 78
+                },
+                {
+                    "aka": [
+                        "PROD_MAT8BIT_VEC8BIT"
+                    ],
+                    "comment": "*: 8 bit matrix * 8 bit vector",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "Is8BitMatrixRep"
+                        ],
+                        [
+                            "IsList",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                            "IsAdditiveElement",
+                            "CategoryCollections(IsAdditiveElement)",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "CategoryCollections(IsMultiplicativeElement)",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mat8bit.gi",
+                        "line": 451
+                    },
+                    "rank": 77
+                },
+                {
+                    "aka": [
+                        "PROD_VEC8BIT_MAT8BIT"
+                    ],
+                    "comment": "*: 8 bit vector * 8 bit matrix",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                            "IsAdditiveElement",
+                            "CategoryCollections(IsAdditiveElement)",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "CategoryCollections(IsMultiplicativeElement)",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "Is8BitMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mat8bit.gi",
+                        "line": 439
+                    },
+                    "rank": 77
+                },
+                {
+                    "aka": [
+                        "PROD_VEC8BIT_MATRIX"
+                    ],
+                    "comment": "*: For an 8 bit vector and a compatible matrix",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsHomogeneousList",
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "IsNearAdditiveElementWithInverse",
+                            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                            "IsAdditiveElement",
+                            "CategoryCollections(IsAdditiveElement)",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "CategoryCollections(IsMultiplicativeElement)",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsTable",
+                            "IsPlistRep",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 318
+                    },
+                    "rank": 74
+                },
+                {
+                    "comment": "*: for two ordinary block matrices",
+                    "filters": [
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ],
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 421
+                    },
+                    "rank": 74
+                },
+                {
+                    "aka": [
+                        "PROD_GF2VEC_ANYMAT"
+                    ],
+                    "comment": "*: For a GF2 vector and a compatible matrix",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsHomogeneousList",
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "IsNearAdditiveElementWithInverse",
+                            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                            "IsAdditiveElement",
+                            "CategoryCollections(IsAdditiveElement)",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "CategoryCollections(IsMultiplicativeElement)",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsTable",
+                            "IsPlistRep",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1123
+                    },
+                    "rank": 71
+                },
+                {
+                    "comment": "*: for two characters",
+                    "filters": [
+                        [
+                            "IsCharacter",
+                            "Tester(IsCharacter)"
+                        ],
+                        [
+                            "IsCharacter",
+                            "Tester(IsCharacter)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 428
+                    },
+                    "rank": 70
+                },
+                {
+                    "aka": [
+                        "PROD_GF2MAT_GF2VEC"
+                    ],
+                    "comment": "*: for GF2 matrix and GF2 vector",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsListDefault",
+                            "IsGF2MatrixRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsListDefault",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1136
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "*: for two virtual characters",
+                    "filters": [
+                        [
+                            "IsVirtualCharacter",
+                            "Tester(IsVirtualCharacter)"
+                        ],
+                        [
+                            "IsVirtualCharacter",
+                            "Tester(IsVirtualCharacter)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 411
+                    },
+                    "rank": 66
+                },
+                {
+                    "aka": [
+                        "PROD_GF2VEC_GF2VEC"
+                    ],
+                    "comment": "*: for GF2 vectors",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                            "IsAdditiveElement",
+                            "CategoryCollections(IsAdditiveElement)",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "CategoryCollections(IsMultiplicativeElement)",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsListDefault",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsList",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                            "IsAdditiveElement",
+                            "CategoryCollections(IsAdditiveElement)",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "CategoryCollections(IsMultiplicativeElement)",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsListDefault",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 375
+                    },
+                    "rank": 66
+                },
+                {
+                    "aka": [
+                        "PROD_VEC8BIT_VEC8BIT"
+                    ],
+                    "comment": "*: For 2 8 bit vectors",
+                    "filters": [
+                        [
+                            "IsList",
+                            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                            "CategoryCollections(IsAdditiveElement)",
+                            "CategoryCollections(IsMultiplicativeElement)",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                            "CategoryCollections(IsAdditiveElement)",
+                            "CategoryCollections(IsMultiplicativeElement)",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 509
+                    },
+                    "rank": 64
+                },
+                {
+                    "comment": "*: for two class functions",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ],
+                        [
+                            "IsClassFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 394
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "*: for ffe and ordinary block matrix of integers",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsOrdinaryMatrix",
+                            "CategoryCollections(CategoryCollections(IsCyclotomic))",
+                            "IsBlockMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 549
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "*: for ordinary block matrix of integers and ffe",
+                    "filters": [
+                        [
+                            "IsOrdinaryMatrix",
+                            "CategoryCollections(CategoryCollections(IsCyclotomic))",
+                            "IsBlockMatrixRep"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 539
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "*: for two null map matrices",
+                    "filters": [
+                        [
+                            "IsNullMapMatrix"
+                        ],
+                        [
+                            "IsNullMapMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 282
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "*: for matrix and null map matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
+                            "IsNullMapMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 317
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "*: for GF2 matrix and GF2 element",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsListDefault",
+                            "IsGF2MatrixRep"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1190
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "*: for GF2 element and GF2 matrix",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsListDefault",
+                            "IsGF2MatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1170
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "*: scalar * 8 bit matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "Is8BitMatrixRep"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mat8bit.gi",
+                        "line": 515
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "*: scalar * 8 bit matrix",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "Is8BitMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mat8bit.gi",
+                        "line": 488
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "*: for empty list, and empty matrix",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsTable",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 1515
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "*: for empty matrix, and empty list",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 1509
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "*",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsRowModule",
+                            "Tester(IsRowModule)"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 461
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "*: for two empty row vectors in the same family",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsEmptyRowVectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsEmptyRowVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rvecempt.gi",
+                        "line": 224
+                    },
+                    "rank": 56
+                },
+                {
+                    "comment": "*: for GF2 vector and FFE",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                            "IsAdditiveElement",
+                            "CategoryCollections(IsAdditiveElement)",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "CategoryCollections(IsMultiplicativeElement)",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 437
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": "*: for FFE and GF2 vector",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsList",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                            "IsAdditiveElement",
+                            "CategoryCollections(IsAdditiveElement)",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "CategoryCollections(IsMultiplicativeElement)",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 405
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": "*: for character, and positive integer",
+                    "filters": [
+                        [
+                            "IsCharacter",
+                            "Tester(IsCharacter)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 363
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "*: for positive integer, and character",
+                    "filters": [
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsCharacter",
+                            "Tester(IsCharacter)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 339
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "*: for ring and right ideal (construct a two-sided ideal)",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(RightActingRingOfIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 807
+                    },
+                    "rank": 53
+                },
+                {
+                    "comment": "*: for left ideal and ring (construct a two-sided ideal)",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(LeftActingRingOfIdeal)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 791
+                    },
+                    "rank": 53
+                },
+                {
+                    "comment": "*: for integer and ordinary block matrix",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 523
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "*: for ordinary block matrix and integer",
+                    "filters": [
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 514
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "*: for virtual character, and integer",
+                    "filters": [
+                        [
+                            "IsVirtualCharacter",
+                            "Tester(IsVirtualCharacter)"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 355
+                    },
+                    "rank": 51
+                },
+                {
+                    "comment": "*: for integer, and virtual character",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsVirtualCharacter",
+                            "Tester(IsVirtualCharacter)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 331
+                    },
+                    "rank": 51
+                },
+                {
+                    "comment": "*: for ring element, and empty matrix",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsTable",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 1527
+                    },
+                    "rank": 50
+                },
+                {
+                    "comment": "*: for empty matrix, and ring element",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 1521
+                    },
+                    "rank": 50
+                },
+                {
+                    "comment": "*: for empty list and null map matrix",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsNullMapMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 310
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "*: for class function, and cyclotomic",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 347
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "*: for cyclotomic, and class function",
+                    "filters": [
+                        [
+                            "IsCyc"
+                        ],
+                        [
+                            "IsClassFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 323
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "*: For an 8 bit vector of char 2 and a GF2 vector",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 533
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "*: For a GF2 vector and an 8 bit vector of char 2",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 521
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "*: for vector and ordinary block matrix",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ],
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 479
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "*: for ordinary block matrix and vector",
+                    "filters": [
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 450
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "*: for empty row vector, and integer",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsEmptyRowVectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rvecempt.gi",
+                        "line": 210
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "*: for integer, and empty row vector",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsEmptyRowVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rvecempt.gi",
+                        "line": 197
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "*: for FFE and GF2 vector",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsList",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                            "IsAdditiveElement",
+                            "CategoryCollections(IsAdditiveElement)",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "CategoryCollections(IsMultiplicativeElement)",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 377
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "*: for FFE and GF2 vector",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsList",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                            "IsAdditiveElement",
+                            "CategoryCollections(IsAdditiveElement)",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "CategoryCollections(IsMultiplicativeElement)",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 342
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "*",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsPadicNumber)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 329
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "*",
+                    "filters": [
+                        [
+                            "IsList",
+                            "CategoryCollections(IsPadicNumber)"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 314
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "*: for a mgrv, and an ordinary block matrix",
+                    "filters": [
+                        [
+                            "IsMultiplicativeGeneralizedRowVector"
+                        ],
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 573
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "*: for an ordinary block matrix, and a mgrv",
+                    "filters": [
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ],
+                        [
+                            "IsMultiplicativeGeneralizedRowVector"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 564
+                    },
+                    "rank": 43
+                },
+                {
+                    "aka": [
+                        "PROD_FFE_VEC8BIT"
+                    ],
+                    "comment": "*: For an FFE and an 8 bit vector ",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 353
+                    },
+                    "rank": 42
+                },
+                {
+                    "aka": [
+                        "PROD_VEC8BIT_FFE"
+                    ],
+                    "comment": "*: For an 8 bit vector and an FFE",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 307
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "*: for ring element and ordinary block matrix",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 499
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "*: for ordinary block matrix and ring element",
+                    "filters": [
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 489
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "*: for list in `IsListDefault', and class function",
+                    "filters": [
+                        [
+                            "IsListDefault"
+                        ],
+                        [
+                            "IsClassFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 448
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "*: for class function, and list in `IsListDefault'",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ],
+                        [
+                            "IsListDefault"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 441
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "*: for a null map matrix and a scalar",
+                    "filters": [
+                        [
+                            "IsNullMapMatrix"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 296
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "*: for a scalar and a null map matrix",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsNullMapMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 289
+                    },
+                    "rank": 41
+                },
+                {
+                    "aka": [
+                        "CharacterTableDirectProduct"
+                    ],
+                    "comment": "*: for two nearly character tables (call `CharacterTableDirectProduct')",
+                    "filters": [
+                        [
+                            "IsNearlyCharacterTable"
+                        ],
+                        [
+                            "IsNearlyCharacterTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 635
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "*: group times element",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 408
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "*: for vector and null map matrix",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ],
+                        [
+                            "IsNullMapMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 303
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "*: for internal FFE and element in Z/pZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsLogOrderedFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 465
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "*: for element in Z/pZ (ModulusRep) and internal FFE",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsLogOrderedFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 459
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "*: internal ffe * (large) integer",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.g",
+                        "line": 155
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "*",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 838
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "*: for integer and element in Z/nZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 423
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "*: for element in Z/nZ (ModulusRep) and integer",
+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 413
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "*: BFElm*BFElm",
+                    "filters": [
+                        [
+                            "IsAlgBFRep"
+                        ],
+                        [
+                            "IsAlgBFRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 516
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "*: BFElm*AlgElm",
+                    "filters": [
+                        [
+                            "IsAlgBFRep"
+                        ],
+                        [
+                            "IsKroneckerConstRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 511
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "*: AlgElm*BFElm",
+                    "filters": [
+                        [
+                            "IsKroneckerConstRep"
+                        ],
+                        [
+                            "IsAlgBFRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 501
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "*: AlgElm*AlgElm",
+                    "filters": [
+                        [
+                            "IsKroneckerConstRep"
+                        ],
+                        [
+                            "IsKroneckerConstRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 491
+                    },
+                    "rank": 34
+                },
+                {
+                    "aka": [
+                        "PRODUCT_LAURPOLS"
+                    ],
+                    "comment": "*: laurent * laurent",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction",
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ],
+                        [
+                            "IsPolynomialFunction",
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 387
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "*: for ring and ring element (construct a left ideal)",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 769
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "*: for ring element and ring (construct a right ideal)",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 746
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "*",
+                    "filters": [
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "IsListDefault"
+                        ],
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "IsListDefault"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 3350
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "*: for rational and element in Z/nZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 453
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "*: for element in Z/nZ (ModulusRep) and rational",
+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 438
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "*: for list and null map matrix",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsNullMapMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 324
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "*: RightCosets",
+                    "filters": [
+                        [
+                            "IsRightCoset"
+                        ],
+                        [
+                            "IsRightCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 463
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "*",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 845
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "*",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 845
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "*: for a rational and a FFE",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 102
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "*: for a FFE and a rational",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 89
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "*: for two elements in Z/nZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 403
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "*: for two unknowns",
+                    "filters": [
+                        [
+                            "IsUnknown"
+                        ],
+                        [
+                            "IsUnknown"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/unknown.gi",
+                        "line": 258
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "*: for cyclotomic and unknown",
+                    "filters": [
+                        [
+                            "IsCyc"
+                        ],
+                        [
+                            "IsUnknown"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/unknown.gi",
+                        "line": 251
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "*: for unknown and cyclotomic",
+                    "filters": [
+                        [
+                            "IsUnknown"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/unknown.gi",
+                        "line": 238
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "*: for s. c. ring element in dense vector rep. and integer",
+                    "filters": [
+                        [
+                            "IsSCRingObj",
+                            "IsDenseCoeffVectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 260
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "*: for integer and s. c. ring element in dense vector rep.",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsSCRingObj",
+                            "IsDenseCoeffVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 249
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "*: for s. c. algebra element in dense vector rep. and integer",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj",
+                            "IsDenseCoeffVectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 433
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "*: for integer and s. c. algebra element in dense vector rep.",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsSCAlgebraObj",
+                            "IsDenseCoeffVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 419
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "*: for empty row vector, and multiplicative element",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsEmptyRowVectorRep"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rvecempt.gi",
+                        "line": 184
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "*: for multiplicative element, and empty row vector",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsEmptyRowVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rvecempt.gi",
+                        "line": 170
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "*: for two plist matrices",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ],
+                        [
+                            "IsPlistMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1417
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "*",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsPadicNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 299
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "*",
+                    "filters": [
+                        [
+                            "IsPadicNumber"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 282
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "*",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 860
+                    },
+                    "rank": 30
+                },
+                {
+                    "aka": [
+                        "PRODUCT_UNIVFUNCS"
+                    ],
+                    "comment": "*: univariate * univariate",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1487
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "*: for two direct product elements",
+                    "filters": [
+                        [
+                            "IsDirectProductElement"
+                        ],
+                        [
+                            "IsDirectProductElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 322
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "*: for float and rational",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 1010
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "*: for rational and float",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 1008
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "*: zmodnze : for element x in Z/nZ and y in Z/nZ(m)",
+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 252
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "*: zmodnze : for element x in Z/nZ(m) and y in Z/nZ",
+                    "filters": [
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ],
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 244
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "*: for s. c. algebra element and integer",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 426
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "*: for integer and s. c. algebra element",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsSCAlgebraObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 412
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "*",
+                    "filters": [
+                        [
+                            "IsPadicExtensionNumber"
+                        ],
+                        [
+                            "IsPadicExtensionNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 1288
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "*",
+                    "filters": [
+                        [
+                            "IsPadicExtensionNumber"
+                        ],
+                        [
+                            "IsPurePadicNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 1249
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "*",
+                    "filters": [
+                        [
+                            "IsPurePadicNumber"
+                        ],
+                        [
+                            "IsPadicExtensionNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 1222
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "*",
+                    "filters": [
+                        [
+                            "IsPurePadicNumber"
+                        ],
+                        [
+                            "IsPurePadicNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 674
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "*: zmodnze : for element x in Z/nZ(m) (ZmodnZepsRep) and cyclotomic y",
+                    "filters": [
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ],
+                        [
+                            "IsCyclotomic"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 236
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "*: zmodnze : for cyclotomic x and element y in Z/nZ(m) (ZmodnZepsRep)",
+                    "filters": [
+                        [
+                            "IsCyclotomic"
+                        ],
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 228
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "*: polynomial * polynomial",
+                    "filters": [
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 915
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "*: for scalar and algebra g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 590
+                    },
+                    "rank": 28
+                },
+                {
+                    "aka": [
+                        "RingElmTimesElm"
+                    ],
+                    "comment": "*: for rational, and magma ring element",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 422
+                    },
+                    "rank": 28
+                },
+                {
+                    "aka": [
+                        "ElmTimesRingElm"
+                    ],
+                    "comment": "*: for magma ring element, and rational",
+                    "filters": [
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 392
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "*: for a plist vector and a plist matrix",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
+                        ],
+                        [
+                            "IsPlistMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1748
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "*: zmodnze : for two elements in Z/nZ(m) (ZmodnZepsRep)",
+                    "filters": [
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ],
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 261
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "*: univariate * coeff",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1572
+                    },
+                    "rank": 26
+                },
+                {
+                    "aka": [
+                        "ProdCoeffUnivfunc"
+                    ],
+                    "comment": "*: coeff * univariate",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1567
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "*: rat-fun * rat-fun",
+                    "filters": [
+                        [
+                            "IsRationalFunction"
+                        ],
+                        [
+                            "IsRationalFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 1130
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "*: for s. c. ring elements in dense vector rep.",
+                    "filters": [
+                        [
+                            "IsSCRingObj",
+                            "IsDenseCoeffVectorRep"
+                        ],
+                        [
+                            "IsSCRingObj",
+                            "IsDenseCoeffVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 238
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "*: for two Lie objects in default representation",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 257
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "*: for s. c. algebra elements in dense vector rep.",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj",
+                            "IsDenseCoeffVectorRep"
+                        ],
+                        [
+                            "IsSCAlgebraObj",
+                            "IsDenseCoeffVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 373
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "*: for scalar and linear m.b.m.",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearMappingByMatrixDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1430
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "*: for scalar and linear g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 619
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "*: for floats",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ],
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 1012
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "*: laurent * coeff",
+                    "filters": [
+                        [
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)",
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 434
+                    },
+                    "rank": 25
+                },
+                {
+                    "aka": [
+                        "ProdCoeffLaurpol"
+                    ],
+                    "comment": "*: coeff * laurent",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)",
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 430
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "*: for row vector and Lie object",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 702
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "*: for Lie object and row vector",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 695
+                    },
+                    "rank": 25
+                },
+                {
+                    "aka": [
+                        "PROD_LIST_SCL_DEFAULT"
+                    ],
+                    "comment": "*: for a default list, and a direct product element",
+                    "filters": [
+                        [
+                            "IsListDefault"
+                        ],
+                        [
+                            "IsDirectProductElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 444
+                    },
+                    "rank": 25
+                },
+                {
+                    "aka": [
+                        "PROD_SCL_LIST_DEFAULT"
+                    ],
+                    "comment": "*: for a direct product element, and a default list",
+                    "filters": [
+                        [
+                            "IsDirectProductElement"
+                        ],
+                        [
+                            "IsListDefault"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 439
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "*: for two UEALattice elements",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsUEALatticeElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsUEALatticeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 2199
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "*: for binary relations on points",
+                    "filters": [
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ],
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1220
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "*: FElm*Alg",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsAlgebraicElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 532
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "*: Alg*FElm",
+                    "filters": [
+                        [
+                            "IsAlgebraicElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 524
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "*: rat-fun * coeff",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 1026
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "*: coeff * rat-fun",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsPolynomialFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 1014
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "*: additive element with inverse * negative integer",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse"
+                        ],
+                        [
+                            "IsInt",
+                            "IsNegRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 565
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "*: negative integer * additive element with inverse",
+                    "filters": [
+                        [
+                            "IsInt",
+                            "IsNegRat"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 529
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "*: for UEALattice element and scalar",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsUEALatticeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 1535
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "*: for scalar and UEALattice element",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsUEALatticeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 1520
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "*: for cochain and scalar",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsCochain"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse",
+                            "IsZero",
+                            "Tester(IsZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 299
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "*: for scalar and cochain",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse",
+                            "IsZero",
+                            "Tester(IsZero)"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsCochain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 264
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "*: for s. c. algebra elements",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj"
+                        ],
+                        [
+                            "IsSCAlgebraObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 362
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "*: fp algebra elements",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsElementOfFpAlgebra"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsElementOfFpAlgebra"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 547
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "*: for two magma ring elements",
+                    "filters": [
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ],
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 360
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "*: RightCoset with element",
+                    "filters": [
+                        [
+                            "IsRightCoset"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 454
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "*: for a scalar and a checking plist vector",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsPlistVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 623
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "*: for a scalar and a plist vector",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsPlistVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 612
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "*: for a checking plist vector and a scalar",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 605
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "*: for a plist vector and a scalar",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 594
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "*: for 0-cochain and scalar",
+                    "filters": [
+                        [
+                            "IsCochain",
+                            "IsZeroCochainRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 307
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "*: for scalar and 0-cochain",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsCochain",
+                            "IsZeroCochainRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 272
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "*: for ring element, and Lie object in default representation",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 285
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "*: for Lie object in default representation, and ring element",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 271
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "*: for s. c. algebra element in dense vector rep. and ring element",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj",
+                            "IsDenseCoeffVectorRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 405
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "*: for ring element and s. c. algebra element in dense vector rep.",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsSCAlgebraObj",
+                            "IsDenseCoeffVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 389
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "*: additive element * positive integer",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElement"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 551
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "*: positive integer * additive element",
+                    "filters": [
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsNearAdditiveElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 529
+                    },
+                    "rank": 21
+                },
+                {
+                    "aka": [
+                        "NBitsPcWord_Product"
+                    ],
+                    "comment": "*: generic method for n bits pc word rep",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "IsNBitsPcWordRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "IsNBitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcgrp.gi",
+                        "line": 320
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "*: for cochain and scalar",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsCochain"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 291
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "*: for scalar and cochain",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsCochain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 256
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "*: for a scalar and an algebra module element in packed representation",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsAlgebraModuleElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 676
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "*: for an algebra module element in packed representation and a scalar",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsAlgebraModuleElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 669
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "*: for two magma congruence classes",
+                    "filters": [
+                        [
+                            "IsCongruenceClass"
+                        ],
+                        [
+                            "IsCongruenceClass"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 349
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "*: for permutation and binary relation on points",
+                    "filters": [
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1252
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "*: for binary relation on points and permutation",
+                    "filters": [
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1246
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "*: for s. c. algebra element and ring element",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 397
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "*: for ring element and s. c. algebra element",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsSCAlgebraObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 381
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "*: fp algebra el*ring el",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsElementOfFpAlgebra"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 569
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "*: ring el *fp algebra el",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsElementOfFpAlgebra"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 558
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "*: for ring element, and magma ring element",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 422
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "*: for magma ring element, and ring element",
+                    "filters": [
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 392
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "*: for binary relation on points and transformation",
+                    "filters": [
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ],
+                        [
+                            "IsTransformation"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1240
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "*: for transformation and binary relation on points",
+                    "filters": [
+                        [
+                            "IsTransformation"
+                        ],
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1233
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "*: for zero and total general mapping",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement",
+                            "IsZero",
+                            "Tester(IsZero)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 907
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "*: for weight rep element and a scalar",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsWeightRepElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 2859
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "*: for weight rep element and a scalar",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsWeightRepElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 2842
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "*: for a direct sum element and a scalar",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsDirectSumElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 3302
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "*: for a direct sum element and a scalar",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsDirectSumElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 3294
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "*: for a scalar and a sparse rowspace element",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsSparseRowSpaceElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 2929
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "*: for a sparse rowspace element and a scalar",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsSparseRowSpaceElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 2910
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "*: for a scalar and a monomial element",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsMonomialElement",
+                            "IsMonomialElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 1451
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "*: for a monomial element and a scalar",
+                    "filters": [
+                        [
+                            "IsMonomialElement",
+                            "IsMonomialElementRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 1433
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "*: List*Alg",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsAlgebraicElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 542
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "*: Alg*List",
+                    "filters": [
+                        [
+                            "IsAlgebraicElement"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 537
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "*",
+                    "filters": [
+                        [],
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "IsListDefault"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 3201
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "*",
+                    "filters": [
+                        [
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "IsListDefault"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 3191
+                    },
+                    "rank": 17
+                },
+                {
+                    "aka": [
+                        "32Bits_Product"
+                    ],
+                    "comment": "*: for two 32 bits assoc. words",
+                    "filters": [
+                        [
+                            "Is32BitsAssocWord"
+                        ],
+                        [
+                            "Is32BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 655
+                    },
+                    "rank": 16
+                },
+                {
+                    "aka": [
+                        "16Bits_Product"
+                    ],
+                    "comment": "*: for two 16 bits assoc. words",
+                    "filters": [
+                        [
+                            "Is16BitsAssocWord"
+                        ],
+                        [
+                            "Is16BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 562
+                    },
+                    "rank": 16
+                },
+                {
+                    "aka": [
+                        "8Bits_Product"
+                    ],
+                    "comment": "*: for two 8 bits assoc. words",
+                    "filters": [
+                        [
+                            "Is8BitsAssocWord"
+                        ],
+                        [
+                            "Is8BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 469
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "*: univariate * rat",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1583
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "*: rat * univariate",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1578
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "*: for a non-list, and a direct product element",
+                    "filters": [
+                        [],
+                        [
+                            "IsDirectProductElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 484
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "*: for a direct product element, and a non-list",
+                    "filters": [
+                        [
+                            "IsDirectProductElement"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 474
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "*: for two f.p. group elements",
+                    "filters": [
+                        [
+                            "IsElementOfFpGroup"
+                        ],
+                        [
+                            "IsElementOfFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 152
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "*: wreath elements",
+                    "filters": [
+                        [
+                            "IsWreathProductElement"
+                        ],
+                        [
+                            "IsWreathProductElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 938
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "*: for two elements of magma by mult. table",
+                    "filters": [
+                        [
+                            "IsMagmaByMultiplicationTableObj"
+                        ],
+                        [
+                            "IsMagmaByMultiplicationTableObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grptbl.gi",
+                        "line": 69
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "*: assoc words in B letter rep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsBLetterAssocWordRep"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsBLetterAssocWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 418
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "*: assoc words in W letter rep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsWLetterAssocWordRep"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsWLetterAssocWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 348
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "*: for magma ring element and magma element",
+                    "filters": [
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 530
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "*: for magma element and magma ring element",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 513
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "*: for two elements of a magma with zero adjoined",
+                    "filters": [
+                        [
+                            "IsMagmaWithZeroAdjoinedElementRep"
+                        ],
+                        [
+                            "IsMagmaWithZeroAdjoinedElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmadj.gi",
+                        "line": 223
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "*: for two general mappings",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 807
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "*: for list and binary relation on points",
+                    "filters": [
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1264
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "*: for binary relation on points and list",
+                    "filters": [
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1258
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "*",
+                    "filters": [
+                        [
+                            "IsMonoidByAdjoiningIdentityElt"
+                        ],
+                        [
+                            "IsMonoidByAdjoiningIdentityElt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/adjoin.gi",
+                        "line": 72
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "*: for two elements of a fp monoid",
+                    "filters": [
+                        [
+                            "IsElementOfFpMonoid"
+                        ],
+                        [
+                            "IsElementOfFpMonoid"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpmon.gi",
+                        "line": 52
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "*: rws-element * rws-element",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwsgrp.gi",
+                        "line": 207
+                    },
+                    "rank": 12
+                },
+                {
+                    "aka": [
+                        "AssocWord_Product"
+                    ],
+                    "comment": "*: for two assoc. words in syllable rep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsSyllableAssocWordRep"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsSyllableAssocWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordass.gi",
+                        "line": 290
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "*: for elements of a Rees 0-matrix semigroup",
+                    "filters": [
+                        [
+                            "IsReesZeroMatrixSemigroupElement"
+                        ],
+                        [
+                            "IsReesZeroMatrixSemigroupElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 912
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "*: for elements of a Rees matrix semigroup",
+                    "filters": [
+                        [
+                            "IsReesMatrixSemigroupElement"
+                        ],
+                        [
+                            "IsReesMatrixSemigroupElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 891
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "*: for two elements of a f.p. semigroup",
+                    "filters": [
+                        [
+                            "IsElementOfFpSemigroup"
+                        ],
+                        [
+                            "IsElementOfFpSemigroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpsemi.gi",
+                        "line": 62
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "*: for two assoc. words: force syllable rep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordass.gi",
+                        "line": 296
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "*: for two nonassoc. words",
+                    "filters": [
+                        [
+                            "IsNonassocWord"
+                        ],
+                        [
+                            "IsNonassocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/word.gi",
+                        "line": 92
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "*: wrapped additive elements",
+                    "filters": [
+                        [
+                            "IsAdditiveElementAsMultiplicativeElementRep"
+                        ],
+                        [
+                            "IsAdditiveElementAsMultiplicativeElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 774
+                    },
+                    "rank": 10
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "*",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMultiplicativeElementWithOne"
+                ]
+            ],
+            [
+                [
+                    "IsFamily"
+                ]
+            ],
+            [
+                [
+                    "IsCollection",
+                    "CategoryCollections(IsMultiplicativeElementWithOne)",
+                    "IsGeneralizedDomain"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1607
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "OneImmutable: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(OneImmutable)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 1607
+                    },
+                    "rank": 20007
+                },
+                {
+                    "comment": "OneImmutable: for a magma-with-one that has a parent",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsMagmaWithOne"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 983
+                    },
+                    "rank": 10015
+                },
+                {
+                    "comment": "OneImmutable: partial method for a group (beats to ask family)",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 160
+                    },
+                    "rank": 136
+                },
+                {
+                    "comment": "OneImmutable: partial method for a magma-with-one (ask family)",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 972
+                    },
+                    "rank": 114
+                },
+                {
+                    "comment": "OneImmutable: objects with memory",
+                    "filters": [
+                        [
+                            "IsObjWithMemory"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 207
+                    },
+                    "rank": 107
+                },
+                {
+                    "comment": "OneImmutable: 8 bit matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsMultiplicativeElementWithInverse",
+                            "IsOrdinaryMatrix",
+                            "CategoryCollections(CategoryCollections(IsCommutativeElement))",
+                            "CategoryCollections(CategoryCollections(IsFFE))",
+                            "Is8BitMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mat8bit.gi",
+                        "line": 755
+                    },
+                    "rank": 56
+                },
+                {
+                    "comment": "OneImmutable: for matrix group, call `IdentityMat'",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpmat.gi",
+                        "line": 118
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "OneImmutable: for GF2 Matrix",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithOne",
+                            "IsOrdinaryMatrix",
+                            "IsGF2MatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 925
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "OneImmutable: for a partial perm monoid with generators",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPartialPerm)",
+                            "IsMagmaWithOne",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semipperm.gi",
+                        "line": 52
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "OneImmutable: for SC Rings -- try generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 881
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "OneImmutable: for finite SC Rings",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 865
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "OneImmutable: for a partial perm semigroup with generators",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPartialPerm)",
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semipperm.gi",
+                        "line": 44
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "OneImmutable",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 1034
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "OneImmutable: for macfloats",
+                    "filters": [
+                        [
+                            "IsIEEE754FloatRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ieee754.g",
+                        "line": 114
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "OneImmutable: for a partial perm coll",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPartialPerm)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pperm.gi",
+                        "line": 766
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "OneImmutable: for a plist matrix",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1569
+                    },
+                    "rank": 15
+                },
+                {
+                    "aka": [
+                        "ONE",
+                        "OneMutable",
+                        "OneOp"
+                    ],
+                    "comment": "OneImmutable: univariate",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 295
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "OneImmutable: for a magma-with-one",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 989
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "OneImmutable: for floats",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 483
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "OneImmutable: for binary relation on points and a set of integers",
+                    "filters": [
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1376
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "OneImmutable: One(<congruence class>)",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithOne",
+                            "IsCongruenceClass"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 367
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "OneImmutable: for a magma",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 958
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "OneImmutable: for a multiplicative element with one collection",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsMultiplicativeElementWithOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 19
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "OneImmutable: for an f.p. group element",
+                    "filters": [
+                        [
+                            "IsElementOfFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 130
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "OneImmutable",
+                    "filters": [
+                        [
+                            "IsMonoidByAdjoiningIdentityElt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/adjoin.gi",
+                        "line": 128
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "OneImmutable: for an fp monoid element",
+                    "filters": [
+                        [
+                            "IsElementOfFpMonoid"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpmon.gi",
+                        "line": 112
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "OneImmutable: for an identity element",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithOne",
+                            "IsOne",
+                            "Tester(IsOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 280
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "OneImmutable",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsPadicExtensionNumber)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 975
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "OneImmutable",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsPurePadicNumber)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 542
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "OneImmutable: for a family of FFEs",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 266
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "OneImmutable: for family of s. c. algebra elements",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsSCAlgebraObj)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 279
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "OneImmutable: for a multiplicative-element-with-one (look at the family)",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithOne"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 325
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "OneImmutable: for a family of free monoid elements",
+                    "filters": [
+                        [
+                            "CategoryFamily(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/monofree.gi",
+                        "line": 143
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "OneImmutable: for a family of fp monoid elements",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsElementOfFpMonoid)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpmon.gi",
+                        "line": 104
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "OneImmutable: for a family of f.p. group elements",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsElementOfFpGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 122
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "OneImmutable: for any object (call `OneOp' and make immutable)",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 270
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "OneImmutable",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIdentity",
+            "SetOne",
+            "SetOneAttr",
+            "SetOneImmutable"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMultiplicativeElementWithOne"
+                ],
+                []
+            ],
+            [
+                [
+                    "IsFamily"
+                ],
+                []
+            ],
+            [
+                [
+                    "IsCollection",
+                    "CategoryCollections(IsMultiplicativeElementWithOne)",
+                    "IsGeneralizedDomain"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1607
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(OneImmutable): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 1607
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(OneImmutable): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 1607
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(OneImmutable)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasIdentity",
+            "HasOne",
+            "HasOneAttr",
+            "HasOneImmutable"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMultiplicativeElementWithOne"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1607
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(OneImmutable)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMultiplicativeElementWithOne"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1615
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "OneMutable: objects with memory",
+                    "filters": [
+                        [
+                            "IsObjWithMemory"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 219
+                    },
+                    "rank": 107
+                },
+                {
+                    "comment": "OneMutable: straight line program elements",
+                    "filters": [
+                        [
+                            "IsStraightLineProgElm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1019
+                    },
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+                },
+                {
+                    "comment": "OneMutable: 8 bit matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "IsMultiplicativeElementWithInverse",
+                            "IsOrdinaryMatrix",
+                            "CategoryCollections(CategoryCollections(IsCommutativeElement))",
+                            "CategoryCollections(CategoryCollections(IsFFE))",
+                            "Is8BitMatrixRep"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/mat8bit.gi",
+                        "line": 731
+                    },
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+                {
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+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithOne",
+                            "IsOrdinaryMatrix",
+                            "IsGF2MatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 906
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+                    "filters": [
+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 597
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+                        [
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 373
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+                },
+                {
+                    "comment": "OneMutable: for a quaternion",
+                    "filters": [
+                        [
+                            "IsQuaternion",
+                            "IsSCAlgebraObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 784
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+                {
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+                    "filters": [
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+                            "CategoryCollections(IsPartialPerm)",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semipperm.gi",
+                        "line": 151
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+                {
+                    "comment": "OneMutable",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 1030
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsRightCoset"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 481
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+                {
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+                    "filters": [
+                        [
+                            "CategoryCollections(IsPartialPerm)"
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+                    ],
+                    "location": {
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+                        "line": 772
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+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
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+                        "line": 1555
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+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
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+                    ],
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+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 291
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+                        [
+                            "IsDirectProductElement"
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+                        "line": 308
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+                    ],
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+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 601
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+                    "filters": [
+                        [
+                            "CategoryCollections(IsTransformation)"
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+                    "filters": [
+                        [
+                            "IsPadicNumber"
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+                        "file": "/home/makx/ac/gap/lib/padics.gi",
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+                        [
+                            "IsPolynomialFunction"
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+                        "line": 622
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+                            "IsPackedElementDefaultRep",
+                            "IsUEALatticeElement"
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+                            "IsAssociativeElement",
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+                            "IsInfBitsAssocWord"
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+                        [
+                            "IsMultiplicativeElementWithOne",
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "Is32BitsAssocWord"
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+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
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+                            "IsMultiplicativeElementWithOne",
+                            "IsAssociativeElement",
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+                            "Is16BitsAssocWord"
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+                        "line": 568
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+                            "IsMultiplicativeElementWithOne",
+                            "IsAssociativeElement",
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+                        "line": 475
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+                            "IsAssociativeElement",
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+                            "IsOne",
+                            "Tester(IsOne)"
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+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
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+        "aka": [
+            "/",
+            "QUO"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtRElement"
+                ],
+                [
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1715
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "/: x with straight line perm",
+                    "filters": [
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsPerm",
+                            "IsStraightLineProgElm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1762
+                    },
+                    "rank": 129
+                },
+                {
+                    "comment": "/: integer and permutation with memory",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsPerm",
+                            "IsObjWithMemory"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 327
+                    },
+                    "rank": 128
+                },
+                {
+                    "aka": [
+                        "FactorGroup"
+                    ],
+                    "comment": "/: generic method for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2310
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "/: generic method for two FLMLORs",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1129
+                    },
+                    "rank": 68
+                },
+                {
+                    "comment": "/: generic method for two rings",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 627
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "/: for two algebra modules",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsAlgebraModule",
+                            "Tester(IsAlgebraModule)"
+                        ],
+                        [
+                            "IsAlgebraModule",
+                            "Tester(IsAlgebraModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 1269
+                    },
+                    "rank": 51
+                },
+                {
+                    "comment": "/: for FLMLOR and empty list",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1121
+                    },
+                    "rank": 51
+                },
+                {
+                    "comment": "/: generic method for two vector spaces",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gi",
+                        "line": 252
+                    },
+                    "rank": 50
+                },
+                {
+                    "aka": [
+                        "CharacterTableFactorGroup"
+                    ],
+                    "comment": "/: for char. table, and positions list (call `CharacterTableFactorGroup')",
+                    "filters": [
+                        [
+                            "IsNearlyCharacterTable"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 645
+                    },
+                    "rank": 49
+                },
+                {
+                    "aka": [
+                        "FactorFreeGroupByRelators"
+                    ],
+                    "comment": "/: for a free group and an empty list of relators",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"
+                        ],
+                        [
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1583
+                    },
+                    "rank": 47
+                },
+                {
+                    "aka": [
+                        "FactorSemigroup"
+                    ],
+                    "comment": "/: for a semigroup and a congruence",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsSemigroupCongruence",
+                            "Tester(IsSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 1231
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "/: for free groups and relators",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1583
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "/: upol/upol",
+                    "filters": [
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 619
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "/: for internal FFE and element in Z/pZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsLogOrderedFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 560
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "/: for element in Z/pZ (ModulusRep) and internal FFE",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsLogOrderedFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 554
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "/: for FLMLOR and collection",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1112
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "/: for integer and element in Z/nZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 518
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "/: for element in Z/nZ (ModulusRep) and integer",
+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 501
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "/: for rational and element in Z/nZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 548
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "/: for element in Z/nZ (ModulusRep) and rational",
+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 533
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "/: for two elements in Z/nZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 484
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "/: for unknown and cyclotomic",
+                    "filters": [
+                        [
+                            "IsUnknown"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/unknown.gi",
+                        "line": 280
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "/",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 863
+                    },
+                    "rank": 30
+                },
+                {
+                    "aka": [
+                        "QUOT_UNIVFUNCS"
+                    ],
+                    "comment": "/: univariate / univariate",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsRationalFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1496
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "/: for float and rational",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 1017
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "/: for rational and float",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 1015
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "/: for an algebra module and collection",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsAlgebraModule",
+                            "Tester(IsAlgebraModule)"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 1261
+                    },
+                    "rank": 29
+                },
+                {
+                    "aka": [
+                        "ElmDivRingElm"
+                    ],
+                    "comment": "/: for magma ring element, and integer",
+                    "filters": [
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 616
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "/",
+                    "filters": [
+                        [
+                            "IsPurePadicNumber"
+                        ],
+                        [
+                            "IsPurePadicNumber"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/padics.gi",
+                        "line": 695
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "/: method for vector space and collection",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gi",
+                        "line": 244
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "/: for floats",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ],
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 1019
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "/: for s. c. algebra element in dense vector rep. and scalar",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj",
+                            "IsDenseCoeffVectorRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 449
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "/: for a checking plist vector and a scalar",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep",
+                            "IsCheckingVector"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 647
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "/: for a plist vector and a scalar",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 630
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "/: for s. c. algebra element and scalar",
+                    "filters": [
+                        [
+                            "IsSCAlgebraObj"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 441
+                    },
+                    "rank": 21
+                },
+                {
+                    "aka": [
+                        "NBitsPcWord_Quotient"
+                    ],
+                    "comment": "/: generic method for n bits pc word rep",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "IsNBitsPcWordRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "IsNBitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcgrp.gi",
+                        "line": 305
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "/: for magma ring element, and ring element",
+                    "filters": [
+                        [
+                            "IsElementOfMagmaRingModuloRelations"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 616
+                    },
+                    "rank": 19
+                },
+                {
+                    "aka": [
+                        "FactorSemigroupByClosure"
+                    ],
+                    "comment": "/: for a semigroup and an empty list",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 1212
+                    },
+                    "rank": 18
+                },
+                {
+                    "aka": [
+                        "QUO_DEFAULT"
+                    ],
+                    "comment": "/: for multiplicative grvs which might not be IsExtRElement",
+                    "filters": [
+                        [
+                            "IsMultiplicativeGeneralizedRowVector"
+                        ],
+                        [
+                            "IsMultiplicativeGeneralizedRowVector"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 443
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "/: for semigroup and list of pairs",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 1212
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "/: for empty list",
+                    "filters": [
+                        [
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 1029
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "/: rws-element, rws-element",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwsgrp.gi",
+                        "line": 187
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "/: wrapped additive elements",
+                    "filters": [
+                        [
+                            "IsAdditiveElementAsMultiplicativeElementRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse",
+                            "IsAdditiveElementAsMultiplicativeElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 788
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "/: for element, and inj. & surj. general mapping",
+                    "filters": [
+                        [],
+                        [
+                            "IsGeneralMapping",
+                            "IsInjective",
+                            "Tester(IsInjective)",
+                            "IsSurjective",
+                            "Tester(IsSurjective)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 920
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "/: sliced perm",
+                    "filters": [
+                        [],
+                        [
+                            "IsSlicedPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbcbckt.gi",
+                        "line": 104
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "/: for ext. r elm., and multiplicative-element-with-inverse",
+                    "filters": [
+                        [
+                            "IsExtRElement"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 443
+                    },
+                    "rank": 6
+                }
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+        "aka": [
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+            "LeftQuotient"
+        ],
+        "filters": [
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+                [
+                    "IsMultiplicativeElementWithInverse"
+                ],
+                [
+                    "IsExtLElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1737
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "LeftQuotient: for float and rational",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 1024
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "LeftQuotient: for rational and float",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 1022
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "LeftQuotient: for floats",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ],
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 1026
+                    },
+                    "rank": 25
+                },
+                {
+                    "aka": [
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+                    "filters": [
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+                            "IsNBitsPcWordRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "IsNBitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcgrp.gi",
+                        "line": 290
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "LeftQuotient",
+                    "filters": [
+                        [
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+                        ],
+                        [
+                            "IsMultiplicativeGeneralizedRowVector"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 3526
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "LeftQuotient: rws-element, rws-element",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwsgrp.gi",
+                        "line": 149
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "LeftQuotient",
+                    "filters": [
+                        [],
+                        [
+                            "IsMultiplicativeGeneralizedRowVector"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 3544
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "LeftQuotient",
+                    "filters": [
+                        [
+                            "IsMultiplicativeGeneralizedRowVector"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 3535
+                    },
+                    "rank": 9
+                },
+                {
+                    "aka": [
+                        "LQUO_DEFAULT"
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+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsExtLElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 469
+                    },
+                    "rank": 6
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+            "^"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMultiplicativeElement"
+                ],
+                [
+                    "IsMultiplicativeElement"
+                ]
+            ],
+            [
+                [
+                    "IsListOrCollection"
+                ],
+                [
+                    "IsEndoGeneralMapping",
+                    "Tester(IsEndoGeneralMapping)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1746
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/relation.gd",
+                "line": 662
+            }
+        ],
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+            "1args": [],
+            "2args": [
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+                    "comment": "^: for zero mapping and positive integer",
+                    "filters": [
+                        [
+                            "IsZero",
+                            "Tester(IsZero)",
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1487
+                    },
+                    "rank": 10036
+                },
+                {
+                    "comment": "^: for identity mapping and integer",
+                    "filters": [
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1206
+                    },
+                    "rank": 10035
+                },
+                {
+                    "comment": "^: integer and permutation with memory",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsPerm",
+                            "IsObjWithMemory"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 321
+                    },
+                    "rank": 128
+                },
+                {
+                    "comment": "^: int with straight line perm",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsPerm",
+                            "IsStraightLineProgElm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1756
+                    },
+                    "rank": 128
+                },
+                {
+                    "comment": "^: objects with memory",
+                    "filters": [
+                        [
+                            "IsObjWithMemory"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 256
+                    },
+                    "rank": 125
+                },
+                {
+                    "comment": "^: power straight line program elements",
+                    "filters": [
+                        [
+                            "IsStraightLineProgElm"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1545
+                    },
+                    "rank": 125
+                },
+                {
+                    "comment": "^: conjugacy class of a subgroup of a group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grplatt.gi",
+                        "line": 108
+                    },
+                    "rank": 70
+                },
+                {
+                    "aka": [
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+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 566
+                    },
+                    "rank": 66
+                },
+                {
+                    "comment": "^: for two class functions (conjugation, trivial action)",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ],
+                        [
+                            "IsClassFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 607
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "^: for empty matrix, and integer",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 1533
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "^",
+                    "filters": [
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+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsRowModule",
+                            "Tester(IsRowModule)"
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+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 468
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+                    "rank": 59
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+                {
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+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modulmat.gi",
+                        "line": 82
+                    },
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+                },
+                {
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+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblsolv.gi",
+                        "line": 2242
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+                },
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+                    "aka": [
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+                        [
+                            "IsOrdinaryMatrix",
+                            "IsBlockMatrixRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 578
+                    },
+                    "rank": 52
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ],
+                        [
+                            "IsNearlyCharacterTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 566
+                    },
+                    "rank": 51
+                },
+                {
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+                    "filters": [
+                        [
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+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 512
+                    },
+                    "rank": 50
+                },
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+                        [
+                            "IsList",
+                            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                            "CategoryCollections(IsAdditiveElement)",
+                            "CategoryCollections(IsMultiplicativeElement)"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 3171
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+                    "rank": 50
+                },
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+                    "aka": [
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+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 4292
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+                        [
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+                    ],
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+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 2070
+                    },
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+                        [
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+                        "line": 780
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+                },
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+                    "aka": [
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+                            "Tester(IsAdditivelyCommutative)",
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+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
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+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modulrow.gi",
+                        "line": 58
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+                    "aka": [
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        [
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+                        "line": 2184
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+                        [
+                            "IsGeneralMapping"
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+                    "location": {
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+                        "line": 555
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+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 164
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+                    "rank": 38
+                },
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+                    "filters": [
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+                        [
+                            "IsZeroCyc"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/unknown.gi",
+                        "line": 307
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+                    "rank": 37
+                },
+                {
+                    "comment": "^",
+                    "filters": [
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+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsClassFunction"
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+                    ],
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+                        "line": 595
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 534
+                    },
+                    "rank": 36
+                },
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+                    "comment": "^: orbit of a point under the action of a group",
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+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    "location": {
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+                        "line": 1041
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+                    "rank": 35
+                },
+                {
+                    "comment": "^: for unknown and positive integer",
+                    "filters": [
+                        [
+                            "IsUnknown"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/unknown.gi",
+                        "line": 300
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "^: for element in Z/nZ (ModulusRep), and integer",
+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 571
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "^: for binary relation on points and Zero",
+                    "filters": [
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1345
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "^: for direct product element, and integer",
+                    "filters": [
+                        [
+                            "IsDirectProductElement"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 354
+                    },
+                    "rank": 33
+                },
+                {
+                    "aka": [
+                        "32Bits_Power"
+                    ],
+                    "comment": "^: for a 32 bits assoc. word, and zero (in small integer rep)",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithOne",
+                            "Is32BitsAssocWord"
+                        ],
+                        [
+                            "IsZeroCyc",
+                            "IsSmallIntRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 669
+                    },
+                    "rank": 32
+                },
+                {
+                    "aka": [
+                        "16Bits_Power"
+                    ],
+                    "comment": "^: for a 16 bits assoc. word, and zero (in small integer rep)",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithOne",
+                            "Is16BitsAssocWord"
+                        ],
+                        [
+                            "IsZeroCyc",
+                            "IsSmallIntRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 576
+                    },
+                    "rank": 32
+                },
+                {
+                    "aka": [
+                        "8Bits_Power"
+                    ],
+                    "comment": "^: for an 8 bits assoc. word, and zero (in small integer rep)",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithOne",
+                            "Is8BitsAssocWord"
+                        ],
+                        [
+                            "IsZeroCyc",
+                            "IsSmallIntRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 483
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "^: for Lie object in default representation, and positive integer",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 297
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "^: for a 32 bits assoc. word, and a small negative integer",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse",
+                            "Is32BitsAssocWord"
+                        ],
+                        [
+                            "IsInt",
+                            "IsNegRat",
+                            "IsSmallIntRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 669
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "^: for a 16 bits assoc. word, and a small negative integer",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse",
+                            "Is16BitsAssocWord"
+                        ],
+                        [
+                            "IsInt",
+                            "IsNegRat",
+                            "IsSmallIntRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 576
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "^: for an 8 bits assoc. word, and a small negative integer",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse",
+                            "Is8BitsAssocWord"
+                        ],
+                        [
+                            "IsInt",
+                            "IsNegRat",
+                            "IsSmallIntRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 483
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "^: for binary relation on points and a positive int",
+                    "filters": [
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1319
+                    },
+                    "rank": 31
+                },
+                {
+                    "aka": [
+                        "NBitsPcWord_PowerSmallInt"
+                    ],
+                    "comment": "^: generic method for n bits pc word rep and small int",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "IsNBitsPcWordRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsSmallIntRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcgrp.gi",
+                        "line": 349
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "^: for float and rational",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 1037
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "^: for rational and float",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ],
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 1032
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "^: for a 32 bits assoc. word, and a small positive integer",
+                    "filters": [
+                        [
+                            "Is32BitsAssocWord"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat",
+                            "IsSmallIntRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 669
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "^: for a 16 bits assoc. word, and a small positive integer",
+                    "filters": [
+                        [
+                            "Is16BitsAssocWord"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat",
+                            "IsSmallIntRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 576
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "^: for an 8 bits assoc. word, and a small positive integer",
+                    "filters": [
+                        [
+                            "Is8BitsAssocWord"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat",
+                            "IsSmallIntRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 483
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "^: sliced perm",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsSlicedPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbcbckt.gi",
+                        "line": 94
+                    },
+                    "rank": 27
+                },
+                {
+                    "aka": [
+                        "AssocBWorLetRepPow"
+                    ],
+                    "comment": "^: assoc word in B letter rep and negative integer",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsBLetterAssocWordRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsNegRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 550
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "^: assoc word in B letter rep and positive integer",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsBLetterAssocWordRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 550
+                    },
+                    "rank": 26
+                },
+                {
+                    "aka": [
+                        "AssocWWorLetRepPow"
+                    ],
+                    "comment": "^: assoc word in W letter rep and negative integer",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsWLetterAssocWordRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsNegRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 482
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "^: assoc word in W letter rep and positive integer",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsWLetterAssocWordRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 482
+                    },
+                    "rank": 26
+                },
+                {
+                    "aka": [
+                        "AssocWordWithInverse_Power"
+                    ],
+                    "comment": "^: for an assoc. word with inverse in syllable rep, and an integer",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse",
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsSyllableAssocWordRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordass.gi",
+                        "line": 496
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "^: for floats",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ],
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 1039
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "^: for an assoc. word in syllable rep, and a positive integer",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsSyllableAssocWordRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordass.gi",
+                        "line": 376
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "^: for mult. element-with-one, and zero",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithOne"
+                        ],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 578
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "^: rws-element ^ int",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwsgrp.gi",
+                        "line": 247
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "^: for mult. element-with-inverse, and negative integer",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsInt",
+                            "IsNegRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 578
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "^: for mult. element, and positive integer",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 578
+                    },
+                    "rank": 22
+                },
+                {
+                    "aka": [
+                        "NBitsPcWord_Conjugate"
+                    ],
+                    "comment": "^: generic method for n bits pc word rep",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "IsNBitsPcWordRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "IsNBitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcgrp.gi",
+                        "line": 335
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "^: catch wrong root taking",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 594
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "^: for an algebra element and an element of an algebra module",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsRightAlgebraModuleElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 740
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "^: for an algebra element and an element of an algebra module",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLeftAlgebraModuleElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 721
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "^: for a Lie algebra element and a weight rep element",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsWeightRepElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 3022
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "^: sliced perm",
+                    "filters": [
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsSlicedPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbcbckt.gi",
+                        "line": 85
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "^: for two general mappings",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 822
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "^: for binary relation on points and a set of integers",
+                    "filters": [
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1332
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "^: rws-element ^ rws-element",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwsgrp.gi",
+                        "line": 227
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "^: wrapped additive elements",
+                    "filters": [
+                        [
+                            "IsAdditiveElementAsMultiplicativeElementRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse",
+                            "IsAdditiveElementAsMultiplicativeElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 824
+                    },
+                    "rank": 12
+                },
+                {
+                    "aka": [
+                        "POW_DEFAULT"
+                    ],
+                    "comment": "^: for two mult.-elm.-with-inverse",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 481
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "^: sliced perm",
+                    "filters": [
+                        [],
+                        [
+                            "IsSlicedPermInv"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbcbckt.gi",
+                        "line": 127
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "^: for element in the source, and general mapping",
+                    "filters": [
+                        [],
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 836
+                    },
+                    "rank": 7
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "^",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "COMM",
+            "Comm"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMultiplicativeElementWithInverse"
+                ],
+                [
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1777
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "aka": [
+                        "NBitsPcWord_Comm"
+                    ],
+                    "comment": "Comm: generic method for n bits pc word rep",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "IsNBitsPcWordRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector",
+                            "IsNBitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcgrp.gi",
+                        "line": 275
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "Comm: rws-element, rws-element",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwsgrp.gi",
+                        "line": 110
+                    },
+                    "rank": 12
+                },
+                {
+                    "aka": [
+                        "COMM_DEFAULT"
+                    ],
+                    "comment": "Comm: for two mult.-elm.-with-inverse",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 493
+                    },
+                    "rank": 10
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Comm",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "LieBracket"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1802
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "LieBracket: for two ring elements",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
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+                    "rank": 30
+                },
+                {
+                    "aka": [
+                        "CHAR_FFE_DEFAULT"
+                    ],
+                    "comment": "Characteristic: for internal FFE",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.g",
+                        "line": 111
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "Characteristic: alg elm",
+                    "filters": [
+                        [
+                            "IsAlgebraicElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 1004
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "Characteristic: delegate to family (magma)",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveMagmaWithZero",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 618
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "Characteristic: for an elements family of a magma ring quotient",
+                    "filters": [
+                        [
+                            "IsElementOfMagmaRingModuloSpanOfZeroFamily"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1572
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "Characteristic: for an elements family of an fp subalgebra",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsElementOfFpAlgebra)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 356
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "Characteristic: delegate to family (element)",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithZero",
+                            "IsAdditiveElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 633
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "Characteristic: for family delegate to elements family",
+                    "filters": [
+                        [
+                            "IsFamily",
+                            "Tester(ElementsFamily)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 640
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Characteristic: ask the family",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 626
+                    },
+                    "rank": 0
+                },
+                {
+                    "comment": "Characteristic: return fail",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 647
+                    },
+                    "rank": -10000
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Characteristic",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetCharacteristic"
+        ],
+        "filters": [
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1985
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(Characteristic): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 1985
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(Characteristic): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 1985
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(Characteristic)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasCharacteristic"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 1985
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(Characteristic)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMultiplicativeElementWithOne"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 2007
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Order: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Order)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 2007
+                    },
+                    "rank": 20007
+                },
+                {
+                    "comment": "Order: straight line program elements",
+                    "filters": [
+                        [
+                            "IsStraightLineProgElm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1055
+                    },
+                    "rank": 117
+                },
+                {
+                    "comment": "Order: object with memory",
+                    "filters": [
+                        [
+                            "IsObjWithMemory"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 302
+                    },
+                    "rank": 107
+                },
+                {
+                    "comment": "Order: ordinary matrix of finite field elements",
+                    "filters": [
+                        [
+                            "IsOrdinaryMatrix",
+                            "CategoryCollections(CategoryCollections(IsFFE))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 1109
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "Order: for a matrix of cyclotomics, with Minkowski kernel",
+                    "filters": [
+                        [
+                            "IsOrdinaryMatrix",
+                            "CategoryCollections(CategoryCollections(IsCyclotomic))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 1080
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "Order: for a group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 5459
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "Order: generic method for ordinary matrices",
+                    "filters": [
+                        [
+                            "IsOrdinaryMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 819
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "Order: for a class function",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 477
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "Order: for automorphisms",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/morpheus.gi",
+                        "line": 50
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "Order: for an internal FFE",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 813
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "Order: for element in Z/nZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 635
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "Order: for a cyclotomic",
+                    "filters": [
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 918
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "Order",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 1401
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "Order: for a general FFE",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 834
+                    },
+                    "rank": 15
+                },
+                {
+                    "aka": [
+                        "ORDER_PERM"
+                    ],
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+                    "filters": [
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/permutat.g",
+                        "line": 722
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "Order: for a transformation",
+                    "filters": [
+                        [
+                            "IsTransformation"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/trans.gi",
+                        "line": 328
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "Order: fp group element",
+                    "filters": [
+                        [
+                            "IsElementOfFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 287
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "Order: method for a pc-element",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithOne"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 1345
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "Order: free group element",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse",
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfree.gi",
+                        "line": 405
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "Order: for a mult. element-with-one",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithOne"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gi",
+                        "line": 682
+                    },
+                    "rank": 4
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Order",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
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+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 2007
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+                    "comment": "Setter(Order): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 2007
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(Order): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 2007
+                    },
+                    "rank": 0
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+        "aka": [
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+            [
+                [
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+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 2007
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(Order)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsHomogeneousList",
+                    "IsNearAdditiveElementWithInverse",
+                    "CategoryCollections(IsNearAdditiveElementWithInverse)",
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+                    "CategoryCollections(IsAdditiveElement)",
+                    "IsExtLElement",
+                    "IsExtRElement",
+                    "CategoryCollections(IsMultiplicativeElementWithInverse)",
+                    "IsOddAdditiveNestingDepthObject"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 2032
+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NormedRowVector)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 2032
+                    },
+                    "rank": 20026
+                },
+                {
+                    "comment": "NormedRowVector: for GF(2) vector",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                            "IsAdditiveElement",
+                            "CategoryCollections(IsAdditiveElement)",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "CategoryCollections(IsMultiplicativeElementWithInverse)",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 535
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "NormedRowVector: for a row vector of scalars",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                            "IsAdditiveElement",
+                            "CategoryCollections(IsAdditiveElement)",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "CategoryCollections(IsMultiplicativeElementWithInverse)",
+                            "IsOddAdditiveNestingDepthObject"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
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+            "3args": [],
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+            "5args": [],
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+            "5args": [],
+            "6args": []
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+                            "IsAttributeStoringRep",
+                            "Tester(IsSkewFieldFamily)"
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+                [
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+                {
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+                    "filters": [
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+                        []
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+            "5args": [],
+            "6args": []
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+        "name": "Setter(IsSkewFieldFamily)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
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+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 2053
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsSkewFieldFamily)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ]
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+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/arith.gd",
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+                    "filters": [
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+                            "IsAttributeStoringRep",
+                            "Tester(IsUFDFamily)"
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+                    "location": {
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+                        "line": 2070
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "IsUFDFamily",
+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+                [
+                    "IsBool"
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+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/arith.gd",
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+                        [
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+                    ],
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+                        "line": 2070
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+                    "rank": 2
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+                {
+                    "comment": "Setter(IsUFDFamily): default method, does nothing",
+                    "filters": [
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+                        []
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+                    "location": {
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "Setter(IsUFDFamily)",
+        "type": "GAP_Operation"
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+    {
+        "filters": [
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+                [
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+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 2070
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+            "1args": [],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsUFDFamily)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
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+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 2099
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+        ],
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+            "1args": [
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+                    "comment": "AdditiveElementsAsMultiplicativeElementsFamily: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(AdditiveElementsAsMultiplicativeElementsFamily)"
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+                        "line": 2099
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+                    "rank": 20004
+                },
+                {
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+                    "filters": [
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+                            "IsFamily"
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+                        "line": 703
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+                    "rank": 1
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "IsFamily"
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+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 2099
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+            "2args": [
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+                    "comment": "Setter(AdditiveElementsAsMultiplicativeElementsFamily): system setter",
+                    "filters": [
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+                            "IsAttributeStoringRep"
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+                    "location": {
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+                        "line": 2099
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+                    "rank": 2
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+                {
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+                    "filters": [
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+                        []
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+                    "location": {
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+                        "line": 2099
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 2099
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+            "1args": [],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "Tester(AdditiveElementsAsMultiplicativeElementsFamily)",
+        "type": "GAP_Operation"
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+    {
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+            [
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+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 2118
+            }
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(AdditiveElementAsMultiplicativeElement)"
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+                    ],
+                    "location": {
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+                        "line": 2118
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+                {
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+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement"
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+                    ],
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+                        "line": 731
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+                {
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+                    "filters": [
+                        [
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+                            "IsAdditiveElement"
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+                    ],
+                    "location": {
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+                        "line": 723
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+                    "rank": 4
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsAdditiveElement"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 715
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+        "filters": [
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+                    "IsAdditiveElement"
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+        ],
+        "locations": [
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+                "line": 2118
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+        ],
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+                    "comment": "Setter(AdditiveElementAsMultiplicativeElement): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                    ],
+                    "location": {
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+                        "line": 2118
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(AdditiveElementAsMultiplicativeElement): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/arith.gd",
+                        "line": 2118
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+                    "rank": 0
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+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "Setter(AdditiveElementAsMultiplicativeElement)",
+        "type": "GAP_Operation"
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+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 2118
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+            [
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+                "line": 2134
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+                        "line": 806
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+                    "filters": [
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+                        "file": "/home/makx/ac/gap/lib/rwspcgrp.gi",
+                        "line": 635
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+                    "rank": 103
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+                {
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+                    "filters": [
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwspcgrp.gi",
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+                    "filters": [
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+                            "IsElementOfFpGroup"
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+                    "filters": [
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+                            "IsPackedElementDefaultRep",
+                            "IsElementOfFpMonoid"
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+                    "filters": [
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+                            "IsPackedElementDefaultRep",
+                            "IsMultiplicativeElementWithInverseByRws"
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+                        "line": 75
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+                    "filters": [
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+                            "IsPackedElementDefaultRep",
+                            "IsElementOfFpSemigroup"
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+                        "line": 35
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+                    "filters": [
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+                            "IsAssociativeElement",
+                            "IsWord"
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+                        "line": 555
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+                    "rank": 7
+                },
+                {
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+                    "filters": [
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+                        "line": 761
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "UnderlyingElement",
+        "type": "GAP_Operation"
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+        "filters": [
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+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/arith.gd",
+                "line": 2152
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+                    "filters": [
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+                            "IsAttributeStoringRep",
+                            "Tester(IsIdempotent)"
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+                        "line": 2152
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+                    "rank": 20006
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+                {
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+                    "filters": [
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+                            "IsPartialPerm"
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+                    "location": {
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+                        "line": 44
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+                        "line": 256
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+                    "filters": [
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+                        "line": 81
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+                    "filters": [
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+                        "line": 2152
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+                    "filters": [
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+            "5args": [],
+            "6args": []
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+                "line": 2152
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+            "6args": []
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+            [
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+                [
+                    "IsInt"
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+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/ffe.gd",
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+            {
+                "file": "/home/makx/ac/gap/lib/ffe.gd",
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+                    "filters": [
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+                            "IsAttributeStoringRep"
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+                        "line": 653
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+                },
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+                    "comment": "Setter(AsInternalFFE): default method, does nothing",
+                    "filters": [
+                        [],
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+                        "file": "/home/makx/ac/gap/lib/ffe.gd",
+                        "line": 653
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+            "5args": [],
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+                "file": "/home/makx/ac/gap/lib/ffe.gd",
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+    {
+        "aka": [
+            "RootFFE"
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+            [
+                [],
+                [
+                    "IsFFE"
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+        ],
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+                "file": "/home/makx/ac/gap/lib/ffe.gd",
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+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
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+                    "filters": [
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+                            "IsFFE"
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+                        [
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+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
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+                        [
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+                        "line": 164
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+                },
+                {
+                    "comment": "GeneratorsOfDomain",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsCollection",
+                            "Tester(AsList)",
+                            "IsGeneralizedDomain"
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+                    "filters": [
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+                            "IsCollection",
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+                        [
+                            "IsAttributeStoringRep",
+                            "IsCollection",
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+                            "IsEmpty",
+                            "Tester(IsEmpty)"
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+                {
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+                    "filters": [
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+                            "IsFamily"
+                        ],
+                        [
+                            "IsList",
+                            "IsCollection"
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+                            "Tester(ParentAttr)"
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+                    "filters": [
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+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
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+            "5args": [],
+            "6args": []
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+                            "IsCollection",
+                            "IsGeneralizedDomain"
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+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
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+        "type": "GAP_Operation"
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+                            "Tester(IsIntegralCyclotomic)"
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+                {
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+                    "filters": [
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+                            "Tester(CONDUCTOR)",
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+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
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+                {
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+            [
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+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
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+                    "rank": 0
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+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
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+                ]
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+        ],
+        "locations": [
+            {
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+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(CONDUCTOR)",
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+        "aka": [
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+        "filters": [
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+                [
+                    "IsCyc"
+                ],
+                [
+                    "IsInt"
+                ]
+            ],
+            [
+                [
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+                ],
+                [
+                    "IsInt"
+                ]
+            ],
+            [
+                [
+                    "CategoryCollections(CategoryCollections(IsCyclotomic))"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                "line": 681
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                "line": 682
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                "line": 683
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "GaloisCyc: for a class function, and an integer",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsClassFunction"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 1061
+                    },
+                    "rank": 56
+                },
+                {
+                    "comment": "GaloisCyc: for a list of cyclotomics, and an integer",
+                    "filters": [
+                        [
+                            "IsList",
+                            "CategoryCollections(IsCyclotomic)"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 690
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "GaloisCyc: for a list of lists of cyclotomics, and an integer",
+                    "filters": [
+                        [
+                            "IsList",
+                            "CategoryCollections(CategoryCollections(IsCyclotomic))"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.g",
+                        "line": 697
+                    },
+                    "rank": 44
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "GaloisCyc",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
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+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
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+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "aka": [
+                        "IS_EQUAL_SET"
+                    ],
+                    "comment": "IsEqualSet: for two internally represented lists",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsList",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/set.gi",
+                        "line": 33
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "IsEqualSet: for two lists",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/set.gi",
+                        "line": 22
+                    },
+                    "rank": 4
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsEqualSet",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/set.gd",
+                "line": 95
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "aka": [
+                        "IS_SUBSET_SET"
+                    ],
+                    "comment": "IsSubsetSet: for two internally represented lists",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsList",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/set.gi",
+                        "line": 58
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "IsSubsetSet: for two lists",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/set.gi",
+                        "line": 47
+                    },
+                    "rank": 4
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsSubsetSet",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AddSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMutable",
+                    "IsList"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/set.gd",
+                "line": 129
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "aka": [
+                        "ADD_SET"
+                    ],
+                    "comment": "AddSet: for mutable internally represented list, and object",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsList",
+                            "IsInternalRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/set.gi",
+                        "line": 93
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "AddSet: for mutable list, and object",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/set.gi",
+                        "line": 82
+                    },
+                    "rank": 4
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AddSet",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RemoveSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMutable",
+                    "IsList"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/set.gd",
+                "line": 159
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "aka": [
+                        "REM_SET"
+                    ],
+                    "comment": "RemoveSet: for mutable internally represented list, and object",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsList",
+                            "IsInternalRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/set.gi",
+                        "line": 104
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "RemoveSet: for mutable list, and object",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/set.gi",
+                        "line": 126
+                    },
+                    "rank": 4
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RemoveSet",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "UniteSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMutable",
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/set.gd",
+                "line": 187
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "aka": [
+                        "UNITE_SET"
+                    ],
+                    "comment": "UniteSet: for two internally represented lists, the first being mutable",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsList",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsList",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/set.gi",
+                        "line": 137
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "UniteSet: for two lists, the first being mutable",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/set.gi",
+                        "line": 156
+                    },
+                    "rank": 6
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "UniteSet",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IntersectSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMutable",
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/set.gd",
+                "line": 215
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "aka": [
+                        "INTER_RANGE"
+                    ],
+                    "comment": "IntersectSet: for two ranges",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsRange",
+                            "IsRangeRep"
+                        ],
+                        [
+                            "IsRange",
+                            "IsRangeRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/list.gi",
+                        "line": 3973
+                    },
+                    "rank": 82
+                },
+                {
+                    "aka": [
+                        "INTER_SET"
+                    ],
+                    "comment": "IntersectSet: for two internally represented lists, the first being mutable",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsList",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsList",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/set.gi",
+                        "line": 167
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "IntersectSet: for two lists, the first being mutable",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/set.gi",
+                        "line": 193
+                    },
+                    "rank": 6
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IntersectSet",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SubtractSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMutable",
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/set.gd",
+                "line": 243
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "aka": [
+                        "SUBTR_SET"
+                    ],
+                    "comment": "SubtractSet: for two internally represented lists, the first being mutable",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsList",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsList",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/set.gi",
+                        "line": 204
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "SubtractSet: for two lists, the first being mutable",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/set.gi",
+                        "line": 223
+                    },
+                    "rank": 6
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SubtractSet",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            ".",
+            "ELM_REC"
+        ],
+        "filters": [
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/record.g",
+                "line": 103
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": ".: generators of a free group containing the whole family",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagmaWithInverses)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsGroupOfFamily",
+                            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfree.gi",
+                        "line": 609
+                    },
+                    "rank": 65
+                },
+                {
+                    "comment": ".: generators of a s.c. algebra containing the whole family",
+                    "filters": [
+                        [
+                            "Tester(GeneratorsOfLeftOperatorRing)",
+                            "CategoryCollections(IsSCAlgebraObj)",
+                            "IsFullSCAlgebra",
+                            "Tester(IsFullSCAlgebra)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 678
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": ".: generators of a magma ring-with-one containing the whole family",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfLeftOperatorRingWithOne)",
+                            "IsMagmaRingModuloRelations"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 3415
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": ".: generators of a magma ring containing the whole family",
+                    "filters": [
+                        [
+                            "Tester(GeneratorsOfLeftOperatorRing)",
+                            "IsMagmaRingModuloRelations"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 3411
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": ".: group generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagmaWithInverses)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4390
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": ".: generators of a whole SC ring",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRing)",
+                            "CategoryCollections(IsSCRingObj)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 453
+                    },
+                    "rank": 51
+                },
+                {
+                    "comment": ".: polynomial ring indeterminates",
+                    "filters": [
+                        [
+                            "IsPolynomialRing"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 452
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": ".: for an inverse monoid with generators and pos int",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsInverseSemigroup",
+                            "Tester(IsInverseSemigroup)",
+                            "Tester(GeneratorsOfInverseMonoid)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/invsgp.gi",
+                        "line": 107
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": ".: for an inverse semigroup with generators and pos int",
+                    "filters": [
+                        [
+                            "IsInverseSemigroup",
+                            "Tester(IsInverseSemigroup)",
+                            "Tester(GeneratorsOfInverseSemigroup)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/invsgp.gi",
+                        "line": 92
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": ".: for a monoid with generators and pos int",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "Tester(GeneratorsOfMagmaWithOne)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 276
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": ".: for class names of a nearly character table",
+                    "filters": [
+                        [
+                            "IsNearlyCharacterTable"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 1860
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": ".: generators of a free magma-with-one containing the whole family",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagmaWithOne",
+                            "Tester(GeneratorsOfMagmaWithOne)",
+                            "CategoryCollections(IsWord)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmfree.gi",
+                        "line": 451
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": ".: for a semigroup with generators and pos int",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 260
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": ".: generators of a free magma containing the whole family",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "CategoryCollections(IsWord)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmfree.gi",
+                        "line": 446
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": ".: for a presentation in default representation",
+                    "filters": [
+                        [
+                            "IsPresentation",
+                            "IsPresentationDefaultRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/sgpres.gi",
+                        "line": 1396
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": ".: for a root system and a record component",
+                    "filters": [
+                        [
+                            "IsRootSystem"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 2829
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": ".: catch error",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/record.g",
+                        "line": 358
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": ".",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ISB_REC",
+            "IsBound."
+        ],
+        "filters": [
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/record.g",
+                "line": 110
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsBound.: for a presentation in default representation",
+                    "filters": [
+                        [
+                            "IsPresentation",
+                            "IsPresentationDefaultRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/sgpres.gi",
+                        "line": 1410
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "IsBound.: catch error",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/record.g",
+                        "line": 372
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsBound.",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+            "ASS_REC"
+        ],
+        "filters": [
+            [
+                [],
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/record.g",
+                "line": 117
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": ".:=: for a mutable presentation in default representation",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsPresentation",
+                            "IsPresentationDefaultRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/sgpres.gi",
+                        "line": 1425
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": ".:=: catch error",
+                    "filters": [
+                        [],
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/record.g",
+                        "line": 400
+                    },
+                    "rank": 0
+                }
+            ],
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+            "5args": [],
+            "6args": []
+        },
+        "name": ".:=",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/record.g",
+                "line": 124
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Unbind.: for a mutable presentation in default representation",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsPresentation",
+                            "IsPresentationDefaultRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/sgpres.gi",
+                        "line": 1440
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "Unbind.: catch error",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
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+                        "line": 386
+                    },
+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Unbind.",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsRecord"
+                ]
+            ]
+        ],
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+                "line": 154
+            }
+        ],
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+            "1args": [
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+                    "comment": "RecNames: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RecNames)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/record.g",
+                        "line": 154
+                    },
+                    "rank": 20004
+                },
+                {
+                    "aka": [
+                        "REC_NAMES"
+                    ],
+                    "comment": "RecNames: for a record in internal representation",
+                    "filters": [
+                        [
+                            "IsRecord",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/record.g",
+                        "line": 166
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RecNames",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsRecord"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/record.g",
+                "line": 154
+            }
+        ],
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+            "1args": [],
+            "2args": [
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/record.g",
+                        "line": 154
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(RecNames): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/record.g",
+                        "line": 154
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(RecNames)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasRecNames"
+        ],
+        "filters": [
+            [
+                [
+                    "IsRecord"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/record.g",
+                "line": 154
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
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+    {
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+        "filters": [
+            [
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+                    "IsInternalRep"
+                ],
+                [
+                    "IsFFE",
+                    "IsInternalRep"
+                ]
+            ]
+        ],
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+                "line": 179
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+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
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+                        "line": 723
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
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+            "6args": []
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+                    "IsInternalRep"
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+                [
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+                    "IsInternalRep"
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+                    "filters": [
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+                            "IsFFE",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 794
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+                },
+                {
+                    "comment": "DIFF_FFE_LARGE",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
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+            "5args": [],
+            "6args": []
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+                    "IsInternalRep"
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+                [
+                    "IsFFE",
+                    "IsInternalRep"
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+                    "filters": [
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+                            "IsFFE",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
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+                        "line": 857
+                    },
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+                },
+                {
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+                    "filters": [
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+                            "IsFFE"
+                        ],
+                        [
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+                        ]
+                    ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 941
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+                },
+                {
+                    "comment": "QUO_FFE_LARGE",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 224
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+                    "rank": 34
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "IsPosRat"
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+                    "filters": [
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 174
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "ZOp",
+                    "filters": [
+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                    "location": {
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+                        "line": 742
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+                    "filters": [
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
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+            "5args": [],
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+                "line": 86
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+                        [
+                            "IsAttributeStoringRep",
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+                    "filters": [
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+                            "IsTable",
+                            "IsPlistRep"
+                        ]
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+                        [
+                            "IsPerm",
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+                        [
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+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsFFE)"
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+                        [
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+                            "IsPlistRep",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsFFE)"
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+                            "IsPlistRep",
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+                        [
+                            "IsDenseList",
+                            "IsPlistRep",
+                            "CategoryCollections(IsCyclotomic)"
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+                    ],
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+                        [
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+                            "IsAdditiveElement",
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+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
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+                        [
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+                            "IsOddAdditiveNestingDepthObject",
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+                            "IsPlistVectorRep"
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+                            "IsMutable",
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+                        [
+                            "IsGF2VectorRep"
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+                    ],
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+                            "IsMutable",
+                            "IsDenseList"
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+                        [
+                            "IsDenseList"
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+                            "IsHomogeneousList",
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+                            "IsHomogeneousList",
+                            "IsPlistRep",
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+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsFFE)"
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+                        [
+                            "IsFFE",
+                            "IsInternalRep"
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+                    ],
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+                            "IsNearAdditiveElementWithInverse",
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+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
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+                            "IsExtRElement",
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+                        [
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+                            "IsGF2VectorRep"
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+                        [
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsFFE",
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+                            "IsMutable",
+                            "IsPlistVectorRep",
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+                        ],
+                        [
+                            "IsPlistVectorRep",
+                            "IsIntVector"
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+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 494
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+                            "IsMutable",
+                            "IsPlistVectorRep",
+                            "IsCheckingVector"
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+                        [
+                            "IsPlistVectorRep",
+                            "IsCheckingVector"
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+                        [
+                            "IsMutable",
+                            "IsPlistVectorRep"
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+                        [
+                            "IsPlistVectorRep"
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+                        [
+                            "IsMutable",
+                            "IsDenseList",
+                            "IsSmallList",
+                            "Tester(IsSmallList)"
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+                        [
+                            "IsDenseList"
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+                        [
+                            "IsMultiplicativeElement"
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+                            "IsMutable",
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+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsPlistRep",
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+                            "IsAdditiveElement",
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+                            "IsPlistRep",
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+                            "IsPosRat"
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+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                        [
+                            "IsDenseList",
+                            "IsPlistRep",
+                            "CategoryCollections(IsCyclotomic)"
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+                        [
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+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                {
+                    "aka": [
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+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
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+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
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+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 546
+                    },
+                    "rank": 105
+                },
+                {
+                    "comment": "AddRowVector: kernel method for GF2 (5 args, last 2 ignored)",
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+                        [
+                            "IsMutable",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 116
+                    },
+                    "rank": 76
+                },
+                {
+                    "comment": "AddRowVector: for two integer plist vectors, a scalar, and two positions",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsPlistVectorRep",
+                            "IsIntVector"
+                        ],
+                        [
+                            "IsPlistVectorRep",
+                            "IsIntVector"
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+                        [],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 531
+                    },
+                    "rank": 63
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsPlistVectorRep",
+                            "IsCheckingVector"
+                        ],
+                        [
+                            "IsPlistVectorRep",
+                            "IsCheckingVector"
+                        ],
+                        [],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 518
+                    },
+                    "rank": 63
+                },
+                {
+                    "comment": "AddRowVector: for two plist vectors, a scalar, and two positions",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsPlistVectorRep"
+                        ],
+                        [
+                            "IsPlistVectorRep"
+                        ],
+                        [],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 502
+                    },
+                    "rank": 61
+                },
+                {
+                    "aka": [
+                        "ADD_ROW_VECTOR_5"
+                    ],
+                    "comment": "AddRowVector: kernel method for small lists",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsDenseList",
+                            "IsSmallList",
+                            "Tester(IsSmallList)"
+                        ],
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 53
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": "AddRowVector: generic method",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 71
+                    },
+                    "rank": 49
+                },
+                {
+                    "comment": "AddRowVector: error if immutable",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [],
+                        [],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 83
+                    },
+                    "rank": 40
+                }
+            ],
+            "6args": []
+        },
+        "name": "AddRowVector",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AddCoeffs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMutable",
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsMultiplicativeElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/listcoef.gd",
+                "line": 95
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "aka": [
+                        "ADD_COEFFS_VEC8BIT_2"
+                    ],
+                    "comment": "AddCoeffs: two 8 bit vectors",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 710
+                    },
+                    "rank": 50
+                },
+                {
+                    "comment": "AddCoeffs: GF2 vector and 8 bit vector",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 734
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "AddCoeffs: 8 bit vector and GF2 vector",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 722
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "AddCoeffs: for GF2 vectors",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 464
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "AddCoeffs: for empty list, GF2 vector",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 500
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "AddCoeffs: generic method (2nd arg empty)",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 529
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "AddCoeffs: generic method (2 args)",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsDenseList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 509
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "AddCoeffs: error if immutable",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 481
+                    },
+                    "rank": 2
+                }
+            ],
+            "3args": [
+                {
+                    "aka": [
+                        "ADD_COEFFS_VEC8BIT_3"
+                    ],
+                    "comment": "AddCoeffs: two 8 bit vectors",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 675
+                    },
+                    "rank": 65
+                },
+                {
+                    "comment": "AddCoeffs: GF2 vector and 8 bit vector",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 701
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "AddCoeffs: 8 bit vector and GF2 vector",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 688
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "AddCoeffs: for GF2 vectors and FFE",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 451
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "AddCoeffs: for empty list, GF2 vector and FFE",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 482
+                    },
+                    "rank": 56
+                },
+                {
+                    "aka": [
+                        "ADDCOEFFS_GENERIC_3"
+                    ],
+                    "comment": "AddCoeffs: generic method 3args",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 494
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "AddCoeffs: error if immutable",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 481
+                    },
+                    "rank": 2
+                }
+            ],
+            "4args": [],
+            "5args": [
+                {
+                    "comment": "AddCoeffs: generic method (5 args)",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 477
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "AddCoeffs: error if immutable",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [],
+                        [],
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 481
+                    },
+                    "rank": 2
+                }
+            ],
+            "6args": []
+        },
+        "name": "AddCoeffs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "MultRowVector"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMutable",
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsMultiplicativeElement"
+                ]
+            ],
+            [
+                [
+                    "IsMutable",
+                    "IsRowVectorObj"
+                ],
+                []
+            ],
+            [
+                [
+                    "IsMutable",
+                    "IsRowVectorObj"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsRowVectorObj"
+                ],
+                [
+                    "IsList"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/listcoef.gd",
+                "line": 122
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 247
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 249
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "aka": [
+                        "MULT_ROWVECTOR_VECFFES"
+                    ],
+                    "comment": "MultRowVector: kernel method for vecffe (2 args)",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsPlistRep",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsFFE)"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 331
+                    },
+                    "rank": 59
+                },
+                {
+                    "aka": [
+                        "MULT_ROW_VECTOR_2_FAST"
+                    ],
+                    "comment": "MultRowVector: Two argument kernel method for plain list of cyclotomics and an integer",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsDenseList",
+                            "IsPlistRep",
+                            "IsSmallList",
+                            "Tester(IsSmallList)",
+                            "CategoryCollections(IsCyclotomic)"
+                        ],
+                        [
+                            "IsCyclotomic"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 324
+                    },
+                    "rank": 57
+                },
+                {
+                    "aka": [
+                        "MULT_ROWVECTOR_VEC8BITS"
+                    ],
+                    "comment": "MultRowVector: For an 8 bit vector and an ffe",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 583
+                    },
+                    "rank": 42
+                },
+                {
+                    "aka": [
+                        "MULT_ROW_VECTOR_GF2VECS_2"
+                    ],
+                    "comment": "MultRowVector: for GF(2) vector and char 2 scalar",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1573
+                    },
+                    "rank": 38
+                },
+                {
+                    "aka": [
+                        "MULT_ROW_VECTOR_2"
+                    ],
+                    "comment": "MultRowVector: Two argument kernel method for small list",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsDenseList",
+                            "IsSmallList",
+                            "Tester(IsSmallList)"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 314
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "MultRowVector: for a plist vector, and a scalar",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsPlistVectorRep",
+                            "IsIntVector"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 557
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "MultRowVector: for a checking plist vector, and a scalar",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsPlistVectorRep",
+                            "IsCheckingVector"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 547
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "MultRowVector: for a plist vector, and a scalar",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsPlistVectorRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 537
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "MultRowVector: two argument generic method",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 301
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "MultRowVector: error if immutable",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 282
+                    },
+                    "rank": 2
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [
+                {
+                    "comment": "MultRowVector: for a checking plist vector, a list, a ch. plist vector, a list, a scalar",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsPlistVectorRep",
+                            "IsCheckingVector"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsPlistVectorRep",
+                            "IsCheckingVector"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 587
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "MultRowVector: for a plist vector, a list, a plist vector, a list, and a scalar",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsPlistVectorRep"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsPlistVectorRep"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 565
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "MultRowVector: generic method",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 278
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "MultRowVector: error if immutable",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [],
+                        [],
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 282
+                    },
+                    "rank": 2
+                }
+            ],
+            "6args": []
+        },
+        "name": "MultRowVector",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CoeffsMod"
+        ],
+        "filters": [
+            [
+                [
+                    "IsList"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/listcoef.gd",
+                "line": 149
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "CoeffsMod",
+                    "filters": [
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 874
+                    },
+                    "rank": 21
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "CoeffsMod: call `ReduceCoeffsMod'",
+                    "filters": [
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 859
+                    },
+                    "rank": 39
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CoeffsMod",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "MultCoeffs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMutable",
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/listcoef.gd",
+                "line": 193
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [
+                {
+                    "comment": "MultCoeffs: generic method",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsList"
+                        ],
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 581
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "MultCoeffs: error if immutable",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [],
+                        [
+                            "IsInt"
+                        ],
+                        [],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 585
+                    },
+                    "rank": 38
+                }
+            ],
+            "6args": []
+        },
+        "name": "MultCoeffs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PowerModCoeffs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsList"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/listcoef.gd",
+                "line": 225
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "PowerModCoeffs: default, 3 argt",
+                    "filters": [
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsDenseList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 933
+                    },
+                    "rank": 24
+                }
+            ],
+            "4args": [],
+            "5args": [
+                {
+                    "comment": "PowerModCoeffs: for 8 bit vectors",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 958
+                    },
+                    "rank": 105
+                },
+                {
+                    "comment": "PowerModCoeffs: for gf2vectors",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1853
+                    },
+                    "rank": 99
+                },
+                {
+                    "comment": "PowerModCoeffs: default five argt method",
+                    "filters": [
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 916
+                    },
+                    "rank": 60
+                }
+            ],
+            "6args": []
+        },
+        "name": "PowerModCoeffs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ProductCoeffs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsList"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/listcoef.gd",
+                "line": 254
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ProductCoeffs: 8 bit vectors, kernel method (2 arg)",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 818
+                    },
+                    "rank": 50
+                },
+                {
+                    "comment": "ProductCoeffs: Gf2 vectors, kernel method (2 arg)",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1791
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ProductCoeffs: call PRODUCT_COEFFS_GENERIC_LISTS with lengths",
+                    "filters": [
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsDenseList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 954
+                    },
+                    "rank": 6
+                }
+            ],
+            "3args": [],
+            "4args": [
+                {
+                    "aka": [
+                        "PROD_COEFFS_VEC8BIT"
+                    ],
+                    "comment": "ProductCoeffs: 8 bit vectors, kernel method",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 810
+                    },
+                    "rank": 86
+                },
+                {
+                    "aka": [
+                        "PROD_COEFFS_GF2VEC"
+                    ],
+                    "comment": "ProductCoeffs: GF2 vectors, kernel method",
+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1783
+                    },
+                    "rank": 80
+                },
+                {
+                    "aka": [
+                        "PRODUCT_COEFFS_GENERIC_LISTS"
+                    ],
+                    "comment": "ProductCoeffs: call PRODUCT_COEFFS_GENERIC_LISTS",
+                    "filters": [
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 942
+                    },
+                    "rank": 42
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ProductCoeffs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ReduceCoeffs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMutable",
+                    "IsList"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/listcoef.gd",
+                "line": 289
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ReduceCoeffs: 8 bit vectors, kernel method (2 arg)",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 871
+                    },
+                    "rank": 51
+                },
+                {
+                    "comment": "ReduceCoeffs: Gf2 vectors, kernel method (2 arg)",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1810
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "ReduceCoeffs",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsDenseList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 652
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "ReduceCoeffs: error if immutable",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 637
+                    },
+                    "rank": 2
+                }
+            ],
+            "3args": [],
+            "4args": [
+                {
+                    "comment": "ReduceCoeffs: 8 bit vectors, kernel method",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 859
+                    },
+                    "rank": 87
+                },
+                {
+                    "aka": [
+                        "REDUCE_COEFFS_GF2VEC"
+                    ],
+                    "comment": "ReduceCoeffs: GF2 vectors, kernel method",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1802
+                    },
+                    "rank": 81
+                },
+                {
+                    "comment": "ReduceCoeffs: for float vectors",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsFloat)"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "CategoryCollections(IsFloat)"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 949
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "ReduceCoeffs: generic method",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 633
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ReduceCoeffs: error if immutable",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 637
+                    },
+                    "rank": 38
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ReduceCoeffs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ReduceCoeffsMod"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMutable",
+                    "IsList"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/listcoef.gd",
+                "line": 327
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ReduceCoeffsMod",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 763
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ReduceCoeffsMod: error if immutable",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 702
+                    },
+                    "rank": 20
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "ReduceCoeffsMod: generic: list, int,int",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 745
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "ReduceCoeffsMod: error if immutable",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 702
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "ReduceCoeffsMod: generic: list,list,int",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 713
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "ReduceCoeffsMod: error if immutable",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 702
+                    },
+                    "rank": 20
+                }
+            ],
+            "4args": [],
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+                {
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+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 698
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "ReduceCoeffsMod: error if immutable",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 702
+                    },
+                    "rank": 56
+                }
+            ],
+            "6args": []
+        },
+        "name": "ReduceCoeffsMod",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "QuotRemCoeffs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsList"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/listcoef.gd",
+                "line": 344
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "QuotRemCoeffs: 8 bit vectors, kernel method (2 arg)",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 905
+                    },
+                    "rank": 51
+                },
+                {
+                    "comment": "QuotRemCoeffs: generic, use list lengths",
+                    "filters": [
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsDenseList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 827
+                    },
+                    "rank": 6
+                }
+            ],
+            "3args": [],
+            "4args": [
+                {
+                    "comment": "QuotRemCoeffs: 8 bit vectors, kernel method",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 893
+                    },
+                    "rank": 87
+                },
+                {
+                    "aka": [
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+                    ],
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+                    "filters": [
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 526
+                    },
+                    "rank": 80
+                },
+                {
+                    "comment": "QuotRemCoeffs: generic",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 812
+                    },
+                    "rank": 40
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsList"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/listcoef.gd",
+                "line": 370
+            }
+        ],
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+            "1args": [],
+            "2args": [
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+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 1015
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "ValuePol: generic",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 1002
+                    },
+                    "rank": 10
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ValuePol",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsMutable",
+                    "IsList"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/listcoef.gd",
+                "line": 405
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "RemoveOuterCoeffs: vec8bit and zero",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsZero",
+                            "Tester(IsZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 799
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "RemoveOuterCoeffs: gf2vec and zero",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsZero",
+                            "Tester(IsZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1772
+                    },
+                    "rank": 40
+                },
+                {
+                    "aka": [
+                        "REMOVE_OUTER_COEFFS_GENERIC"
+                    ],
+                    "comment": "RemoveOuterCoeffs: generic method",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsDenseList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 835
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "RemoveOuterCoeffs: error if immutable",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 839
+                    },
+                    "rank": 2
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RemoveOuterCoeffs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsList"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/listcoef.gd",
+                "line": 431
+            }
+        ],
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ShiftedCoeffs: empty list",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 984
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "ShiftedCoeffs: call ShiftRowVektor",
+                    "filters": [
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 978
+                    },
+                    "rank": 21
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsMutable",
+                    "IsList"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/listcoef.gd",
+                "line": 452
+            }
+        ],
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+            "1args": [],
+            "2args": [
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+                    "comment": "LeftShiftRowVector",
+                    "filters": [
+                        [
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt",
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 260
+                    },
+                    "rank": 10024
+                },
+                {
+                    "aka": [
+                        "SHIFT_VEC8BIT_LEFT"
+                    ],
+                    "comment": "LeftShiftRowVector: 8bit vector",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 743
+                    },
+                    "rank": 45
+                },
+                {
+                    "aka": [
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+                    ],
+                    "comment": "LeftShiftRowVector: gf2 vector",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1729
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "LeftShiftRowVector: generic method",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsDenseList"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 242
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "LeftShiftRowVector: error if immutable",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 246
+                    },
+                    "rank": 2
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LeftShiftRowVector",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RightShiftRowVector"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMutable",
+                    "IsList"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/listcoef.gd",
+                "line": 473
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "RightShiftRowVector: error if immutable",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 356
+                    },
+                    "rank": 2
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "RightShiftRowVector",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsInt",
+                            "IsZeroCyc"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 376
+                    },
+                    "rank": 10023
+                },
+                {
+                    "aka": [
+                        "SHIFT_VEC8BIT_RIGHT"
+                    ],
+                    "comment": "RightShiftRowVector: 8bit vector, fill with zeros",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsZero",
+                            "Tester(IsZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 753
+                    },
+                    "rank": 62
+                },
+                {
+                    "aka": [
+                        "SHIFT_RIGHT_GF2VEC"
+                    ],
+                    "comment": "RightShiftRowVector: gf2 vector, fill with zeros",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsZero",
+                            "Tester(IsZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1739
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "RightShiftRowVector: generic method",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsList"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 352
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "RightShiftRowVector: error if immutable",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 356
+                    },
+                    "rank": 2
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RightShiftRowVector",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ShrinkRowVector"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMutable",
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/listcoef.gd",
+                "line": 496
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ShrinkRowVector: 8 bit vector",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 779
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "ShrinkRowVector: GF2 vector",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1752
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ShrinkRowVector: generic method",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/listcoef.gi",
+                        "line": 399
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "ShrinkRowVector: error if immutable",
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 297
+                    },
+                    "rank": 2
+                },
+                {
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+                    "filters": [
+                        [],
+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 297
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+                    "rank": 0
+                }
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(FamilyRange)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+            [
+                [
+                    "CategoryFamily(IsGeneralMapping)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 297
+            }
+        ],
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+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(FamilyRange)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "CategoryFamily(IsGeneralMapping)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 315
+            }
+        ],
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+            "1args": [
+                {
+                    "comment": "FamilySource: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(FamilySource)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 315
+                    },
+                    "rank": 20005
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "FamilySource",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetFamilySource"
+        ],
+        "filters": [
+            [
+                [
+                    "CategoryFamily(IsGeneralMapping)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 315
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(FamilySource): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 315
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(FamilySource): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 315
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(FamilySource)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasFamilySource"
+        ],
+        "filters": [
+            [
+                [
+                    "CategoryFamily(IsGeneralMapping)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 315
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(FamilySource)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 335
+            }
+        ],
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+                {
+                    "comment": "FamiliesOfGeneralMappingsAndRanges: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(FamiliesOfGeneralMappingsAndRanges)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 335
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "FamiliesOfGeneralMappingsAndRanges: for a family (return empty list)",
+                    "filters": [
+                        [
+                            "IsFamily"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 33
+                    },
+                    "rank": 1
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "FamiliesOfGeneralMappingsAndRanges",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 335
+            }
+        ],
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+            "1args": [],
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+                    "comment": "Setter(FamiliesOfGeneralMappingsAndRanges): system mutable setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 335
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(FamiliesOfGeneralMappingsAndRanges): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 335
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(FamiliesOfGeneralMappingsAndRanges)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 335
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(FamiliesOfGeneralMappingsAndRanges)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 357
+            }
+        ],
+        "methods": {
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+            "1args": [
+                {
+                    "comment": "IsConstantTimeAccessGeneralMapping: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsConstantTimeAccessGeneralMapping)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 357
+                    },
+                    "rank": 20010
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsConstantTimeAccessGeneralMapping",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsConstantTimeAccessGeneralMapping"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 357
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsConstantTimeAccessGeneralMapping): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 357
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsConstantTimeAccessGeneralMapping): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 357
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsConstantTimeAccessGeneralMapping)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 357
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsConstantTimeAccessGeneralMapping)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 375
+            }
+        ],
+        "methods": {
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+            "1args": [
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsEndoGeneralMapping)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 375
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "IsEndoGeneralMapping: for general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 162
+                    },
+                    "rank": 7
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsEndoGeneralMapping",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsEndoGeneralMapping"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 375
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsEndoGeneralMapping): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 375
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsEndoGeneralMapping): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 375
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsEndoGeneralMapping)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 375
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsEndoGeneralMapping)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 394
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsTotal: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsTotal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 394
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "IsTotal: get delayed set attribute values",
+                    "filters": [
+                        [
+                            "Tester(MappingOfWhichItIsAsGGMBI)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 291
+                    },
+                    "rank": 10013
+                },
+                {
+                    "comment": "IsTotal: for ring g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsRingGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 152
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "IsTotal: via `AsGroupGeneralMappingByImages'",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByAsGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 291
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "IsTotal: for a composition mapping",
+                    "filters": [
+                        [
+                            "IsCompositionMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 231
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "IsTotal: for an inverse mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInverseGeneralMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 931
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "IsTotal: for a general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 592
+                    },
+                    "rank": 7
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsTotal",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsTotal"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 394
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsTotal): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 394
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsTotal): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
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+                        "line": 394
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsTotal)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 394
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsTotal)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 418
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsSingleValued: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsSingleValued)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 418
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "IsSingleValued: get delayed set attribute values",
+                    "filters": [
+                        [
+                            "Tester(MappingOfWhichItIsAsGGMBI)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 289
+                    },
+                    "rank": 10013
+                },
+                {
+                    "comment": "IsSingleValued: map from whole fp group or free group to perm, std. gens: test relators",
+                    "filters": [
+                        [
+                            "IsToPermGroupGeneralMappingByImages",
+                            "IsFromFpGroupStdGensGeneralMappingByImages"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 106
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "IsSingleValued: map from whole fp group or free group, given on std. gens: test relators",
+                    "filters": [
+                        [
+                            "IsFromFpGroupStdGensGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 67
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "IsSingleValued: map from fp group or free group on arbitrary gens: rewrite",
+                    "filters": [
+                        [
+                            "Tester(MappingGeneratorsImages)",
+                            "IsFromFpGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 46
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "IsSingleValued: for algebra g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsPolynomialRingDefaultGeneratorMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 498
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "IsSingleValued: for algebra g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 489
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "IsSingleValued: for sc ring g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSCRingGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 219
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "IsSingleValued: for left module g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 418
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "IsSingleValued",
+                    "filters": [
+                        [
+                            "IsPermGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 991
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "IsSingleValued: for GMBPCGS: test relations",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByPcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghompcgs.gi",
+                        "line": 214
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "IsSingleValued: via `AsGroupGeneralMappingByImages'",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByAsGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 289
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "IsSingleValued: method for a gen. mapping that respects add. and add. inverses",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 628
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "IsSingleValued: method for a gen. mapping that respects mult. and inverses",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 231
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "IsSingleValued: for a composition mapping",
+                    "filters": [
+                        [
+                            "IsCompositionMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 193
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "IsSingleValued: for an inverse mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInverseGeneralMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 898
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "IsSingleValued: for a general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 647
+                    },
+                    "rank": 7
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsSingleValued",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsSingleValued"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 418
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsSingleValued): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 418
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsSingleValued): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 418
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsSingleValued)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 418
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsSingleValued)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 484
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsInjective: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsInjective)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 484
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "IsInjective: get delayed set attribute values",
+                    "filters": [
+                        [
+                            "Tester(MappingOfWhichItIsAsGGMBI)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 290
+                    },
+                    "rank": 10013
+                },
+                {
+                    "comment": "IsInjective: for algebra g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 537
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "IsInjective: for a linear action homomorphism",
+                    "filters": [
+                        [
+                            "IsLinearActionHomomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 3397
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "IsInjective: method for homs from pc group",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsPcGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghompcgs.gi",
+                        "line": 488
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "IsInjective: for a field homomorphism",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 1240
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "IsInjective: for ring g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsRingGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 419
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "IsInjective: for left module m.b.m.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearMappingByMatrixDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1201
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "IsInjective: for left module g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 460
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "IsInjective: via `AsGroupGeneralMappingByImages'",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByAsGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 290
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "IsInjective: for GHBI",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 807
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "IsInjective: for zero mapping",
+                    "filters": [
+                        [
+                            "IsZero",
+                            "Tester(IsZero)",
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1672
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "IsInjective: method for a gen. mapping that respects add. and add. inverses",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 638
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "IsInjective: method for a gen. mapping that respects mult. and one",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 241
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "IsInjective: for a mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 719
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "IsInjective: for a composition mapping",
+                    "filters": [
+                        [
+                            "IsCompositionMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 170
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "IsInjective: for an inverse mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInverseGeneralMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 909
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "IsInjective: for a general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 694
+                    },
+                    "rank": 7
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsInjective",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsInjective"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 484
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsInjective): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 484
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsInjective): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 484
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsInjective)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 484
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsInjective)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 505
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsSurjective: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsSurjective)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 505
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "IsSurjective: get delayed set attribute values",
+                    "filters": [
+                        [
+                            "Tester(MappingOfWhichItIsAsGGMBI)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 292
+                    },
+                    "rank": 10013
+                },
+                {
+                    "comment": "IsSurjective: for a field homomorphism",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 1256
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "IsSurjective: via `AsGroupGeneralMappingByImages'",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByAsGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 292
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "IsSurjective: for zero mapping",
+                    "filters": [
+                        [
+                            "IsZero",
+                            "Tester(IsZero)",
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1683
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "IsSurjective: for a composition mapping",
+                    "filters": [
+                        [
+                            "IsCompositionMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 212
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "IsSurjective: for an inverse mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInverseGeneralMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 920
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "IsSurjective: for a general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 613
+                    },
+                    "rank": 7
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsSurjective",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsSurjective"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 505
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsSurjective): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 505
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsSurjective): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 505
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsSurjective)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 505
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsSurjective)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 543
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Range: for default general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsDefaultGeneralMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 82
+                    },
+                    "rank": 20011
+                },
+                {
+                    "comment": "Range: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Range)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 543
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "Range: for operation algebra homomorphism (set full matrix FLMLOR)",
+                    "filters": [
+                        [
+                            "IsOperationAlgebraHomomorphismDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 1164
+                    },
+                    "rank": 29
+                },
+                {
+                    "aka": [
+                        "RanImgSrcSurjBloho"
+                    ],
+                    "comment": "Range: surjective blocks homomorphism",
+                    "filters": [
+                        [
+                            "IsSurjective",
+                            "Tester(IsSurjective)",
+                            "IsBlocksHomomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1681
+                    },
+                    "rank": 25
+                },
+                {
+                    "aka": [
+                        "RanImgSrcSurjTraho"
+                    ],
+                    "comment": "Range: surjective constituent homomorphism",
+                    "filters": [
+                        [
+                            "IsSurjective",
+                            "Tester(IsSurjective)",
+                            "IsActionHomomorphism",
+                            "IsConstituentHomomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1476
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "Range: surjective action homomorphism",
+                    "filters": [
+                        [
+                            "IsSurjective",
+                            "Tester(IsSurjective)",
+                            "IsActionHomomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 871
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "Range: perm subdirect product projection",
+                    "filters": [
+                        [
+                            "IsProjectionSubdirectProductPermGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 437
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "Range: perm direct product projection",
+                    "filters": [
+                        [
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
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+                {
+                    "comment": "Range: ophom: S(domain)",
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+                            "IsActionHomomorphism"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
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+                    "rank": 22
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Range",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+                "file": "/home/makx/ac/gap/lib/mapping.gd",
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(Range): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 543
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+                    "rank": 2
+                },
+                {
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+                    "filters": [
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+                        []
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 543
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+                    "rank": 0
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(Range)",
+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+                "file": "/home/makx/ac/gap/lib/mapping.gd",
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+            "3args": [],
+            "4args": [],
+            "5args": [],
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+        "type": "GAP_Operation"
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+                            "IsGeneralMapping",
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+                    "comment": "Source: system getter",
+                    "filters": [
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+                            "IsAttributeStoringRep",
+                            "Tester(Source)"
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+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 560
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+                    "rank": 20010
+                },
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+                        [
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+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 729
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 144
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+                    "rank": 23
+                },
+                {
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+                    ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "Source",
+        "type": "GAP_Operation"
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+        "aka": [
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+        "filters": [
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+                "file": "/home/makx/ac/gap/lib/mapping.gd",
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+                    "comment": "Setter(Source): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 560
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+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(Source): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 560
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+                    "rank": 0
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+            "4args": [],
+            "5args": [],
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+        "name": "Setter(Source)",
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+                "file": "/home/makx/ac/gap/lib/mapping.gd",
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(Source)",
+        "type": "GAP_Operation"
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+    {
+        "filters": [
+            [
+                [
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+                            "IsAttributeStoringRep",
+                            "Tester(UnderlyingRelation)"
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+                    "rank": 20010
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsGeneralMapping"
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+                    "location": {
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+        "aka": [
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+                "file": "/home/makx/ac/gap/lib/mapping.gd",
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+            "1args": [],
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+                    "comment": "Setter(UnderlyingRelation): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 584
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(UnderlyingRelation): default method, does nothing",
+                    "filters": [
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+                        []
+                    ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "Setter(UnderlyingRelation)",
+        "type": "GAP_Operation"
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+        "aka": [
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+            [
+                [
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+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(UnderlyingRelation)",
+        "type": "GAP_Operation"
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+    {
+        "filters": [
+            [
+                [
+                    "IsCollection"
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+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/mapping.gd",
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+                    "filters": [
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+                            "IsAttributeStoringRep",
+                            "Tester(UnderlyingGeneralMapping)"
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+    {
+        "aka": [
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+        "filters": [
+            [
+                [
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+                []
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+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/mapping.gd",
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+        ],
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+                    "comment": "Setter(UnderlyingGeneralMapping): for an underlying relation and a general mapping",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsCollection",
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+                        [
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+                    "rank": 29
+                },
+                {
+                    "comment": "Setter(UnderlyingGeneralMapping): for an underlying relation and a general mapping",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsCollection",
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+                        [
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+                    ],
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+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "Setter(UnderlyingGeneralMapping): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
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+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(UnderlyingGeneralMapping): default method, does nothing",
+                    "filters": [
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
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+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(UnderlyingGeneralMapping)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        "filters": [
+            [
+                [
+                    "IsCollection"
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+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/mapping.gd",
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+            }
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(UnderlyingGeneralMapping)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsCollection"
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+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 657
+            }
+        ],
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+            "1args": [
+                {
+                    "comment": "IdentityMapping: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IdentityMapping)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 657
+                    },
+                    "rank": 20005
+                },
+                {
+                    "comment": "IdentityMapping: for a collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IdentityMapping",
+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+        "filters": [
+            [
+                [
+                    "IsCollection"
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+                []
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+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 657
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IdentityMapping): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 657
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IdentityMapping): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 657
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IdentityMapping)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasIdentityMapping"
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+        "filters": [
+            [
+                [
+                    "IsCollection"
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+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 657
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+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IdentityMapping)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
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+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 688
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "InverseGeneralMapping: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(InverseGeneralMapping)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 688
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "InverseGeneralMapping: for inner automorphism",
+                    "filters": [
+                        [
+                            "IsInnerAutomorphism",
+                            "Tester(IsInnerAutomorphism)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 1112
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "InverseGeneralMapping: for ANF automorphism",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
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+                    ],
+                    "location": {
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+                        "line": 2058
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "InverseGeneralMapping: for a Frobenius automorphism",
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+                        [
+                            "IsFrobeniusAutomorphism"
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+                    ],
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+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 772
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "InverseGeneralMapping: for conjugator automorphism",
+                    "filters": [
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsConjugatorIsomorphism",
+                            "Tester(IsConjugatorIsomorphism)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 1100
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "InverseGeneralMapping: for bijective GHBI",
+                    "filters": [
+                        [
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsInjective",
+                            "Tester(IsInjective)",
+                            "IsSurjective",
+                            "Tester(IsSurjective)",
+                            "IsGroupGeneralMappingByImages"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 695
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "InverseGeneralMapping: for conjugator isomorphism",
+                    "filters": [
+                        [
+                            "IsConjugatorIsomorphism",
+                            "Tester(IsConjugatorIsomorphism)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 1088
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "InverseGeneralMapping: for an ring g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsRingGeneralMappingByImagesDefaultRep"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 255
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "InverseGeneralMapping: for semigroup homomorphism by images",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
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+                            "IsTotal",
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+                            "Tester(IsSingleValued)",
+                            "IsInjective",
+                            "Tester(IsInjective)",
+                            "IsSurjective",
+                            "Tester(IsSurjective)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "IsSemigroupHomomorphismByImagesRep"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
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+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "InverseGeneralMapping: for mapping by function",
+                    "filters": [
+                        [
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+                    ],
+                    "location": {
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+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "InverseGeneralMapping: via generators/images",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 684
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "InverseGeneralMapping",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(InverseImmutable)",
+                            "IsGeneralMapping"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 862
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "InverseGeneralMapping: for a general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 887
+                    },
+                    "rank": 7
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "InverseGeneralMapping",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetInverseGeneralMapping"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 688
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(InverseGeneralMapping): transfer the AsGHBI",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByAsGroupGeneralMappingByImages",
+                            "Tester(AsGroupGeneralMappingByImages)"
+                        ],
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 250
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "Setter(InverseGeneralMapping): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 688
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(InverseGeneralMapping): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 688
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(InverseGeneralMapping)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasInverseGeneralMapping"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 688
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(InverseGeneralMapping)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 709
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ImagesSource: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ImagesSource)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 709
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "ImagesSource: for zero mapping",
+                    "filters": [
+                        [
+                            "IsZero",
+                            "Tester(IsZero)",
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1504
+                    },
+                    "rank": 10017
+                },
+                {
+                    "comment": "ImagesSource: for identity mapping",
+                    "filters": [
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1258
+                    },
+                    "rank": 10017
+                },
+                {
+                    "comment": "ImagesSource: get delayed set attribute values",
+                    "filters": [
+                        [
+                            "Tester(MappingOfWhichItIsAsGGMBI)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 288
+                    },
+                    "rank": 10013
+                },
+                {
+                    "comment": "ImagesSource: for surjective general mapping (delegate to `Range')",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSurjective",
+                            "Tester(IsSurjective)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1028
+                    },
+                    "rank": 10009
+                },
+                {
+                    "comment": "ImagesSource: for an algebra g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 423
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "ImagesSource: actionHomomorphismByBase",
+                    "filters": [
+                        [
+                            "IsActionHomomorphismByBase"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 3089
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ImagesSource: perm direct product embedding",
+                    "filters": [
+                        [
+                            "IsEmbeddingDirectProductPermGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 197
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ImagesSource: blocks homomorphism",
+                    "filters": [
+                        [
+                            "IsBlocksHomomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1685
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ImagesSource: constituent homomorphism",
+                    "filters": [
+                        [
+                            "IsActionHomomorphism",
+                            "IsConstituentHomomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1480
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ImagesSource: for an ring g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "IsRingGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 231
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ImagesSource: for a linear g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 248
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ImagesSource: for group homomorphism",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 640
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "ImagesSource: via `AsGroupGeneralMappingByImages'",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByAsGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 288
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "ImagesSource: for GHBI",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 648
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "ImagesSource: for general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1016
+                    },
+                    "rank": 7
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ImagesSource",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetImagesSource"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 709
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ImagesSource): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 709
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ImagesSource): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 709
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ImagesSource)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasImagesSource"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 709
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ImagesSource)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 730
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "PreImagesRange: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(PreImagesRange)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 730
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "PreImagesRange: get delayed set attribute values",
+                    "filters": [
+                        [
+                            "Tester(MappingOfWhichItIsAsGGMBI)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 287
+                    },
+                    "rank": 10013
+                },
+                {
+                    "comment": "PreImagesRange: for total general mapping (delegate to `Source')",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1184
+                    },
+                    "rank": 10009
+                },
+                {
+                    "comment": "PreImagesRange: for an algebra g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 444
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "PreImagesRange: for an ring g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsRingGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 242
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PreImagesRange: for a linear g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 265
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PreImagesRange: via `AsGroupGeneralMappingByImages'",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByAsGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 287
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "PreImagesRange: for GHBI",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 656
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "PreImagesRange: for general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1172
+                    },
+                    "rank": 7
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PreImagesRange",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetPreImagesRange"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 730
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(PreImagesRange): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 730
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(PreImagesRange): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 730
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(PreImagesRange)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasPreImagesRange"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 730
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(PreImagesRange)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ImagesElm"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 752
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ImagesElm: for zero mapping and object",
+                    "filters": [
+                        [
+                            "IsZero",
+                            "Tester(IsZero)",
+                            "IsGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1530
+                    },
+                    "rank": 10017
+                },
+                {
+                    "comment": "ImagesElm: for identity mapping and object",
+                    "filters": [
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1234
+                    },
+                    "rank": 10017
+                },
+                {
+                    "comment": "ImagesElm: for ANF automorphism and scalar",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 1952
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "ImagesElm: for embedding of ring into magma ring, and ring element",
+                    "filters": [
+                        [
+                            "IsEmbeddingRingMagmaRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1200
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "ImagesElm: for binary relations over [1..n] with images list",
+                    "filters": [
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1107
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "ImagesElm: for Frobenius automorphism and source element",
+                    "filters": [
+                        [
+                            "IsFrobeniusAutomorphism"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 736
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "ImagesElm: for magma congruence and element",
+                    "filters": [
+                        [
+                            "IsMagmaCongruence"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 1080
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "ImagesElm: for a Green's equivalence",
+                    "filters": [
+                        [
+                            "IsGreensRelation"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 345
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "ImagesElm: for embedding of magma into magma ring, and mult. element",
+                    "filters": [
+                        [
+                            "IsEmbeddingMagmaMagmaRing"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1303
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "ImagesElm: for magma congruence and element",
+                    "filters": [
+                        [
+                            "IsRightMagmaCongruence"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 1106
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "ImagesElm: for magma congruence and element",
+                    "filters": [
+                        [
+                            "IsLeftMagmaCongruence"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmcong.gi",
+                        "line": 1093
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "ImagesElm: for equivalence relation with partition and element",
+                    "filters": [
+                        [
+                            "IsEquivalenceRelation",
+                            "Tester(IsEquivalenceRelation)",
+                            "Tester(EquivalenceRelationPartition)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1938
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "ImagesElm: for semigroup homomorphism by images",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSPGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "IsSemigroupHomomorphismByImagesRep"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 1342
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "ImagesElm: IsTransformationRepOfEndo",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsTransformationRepOfEndo"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fastendo.gi",
+                        "line": 246
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "ImagesElm: method for s.p. gen. mapping respecting add. & add.inv., and element",
+                    "filters": [
+                        [
+                            "IsSPGeneralMapping",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 658
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "ImagesElm: method for s.p. general mapping respecting mult. & inv., and element",
+                    "filters": [
+                        [
+                            "IsSPGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 261
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "ImagesElm: for mapping by function",
+                    "filters": [
+                        [
+                            "IsMappingByFunctionRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 605
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "ImagesElm: for Lie embedding and object",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLieEmbeddingRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 446
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "ImagesElm: for a restricted mapping, and an element",
+                    "filters": [
+                        [
+                            "IsGeneralRestrictedMappingRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1742
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "ImagesElm: for a composition mapping, and an element",
+                    "filters": [
+                        [
+                            "IsCompositionMappingRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 250
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "ImagesElm: for an inverse mapping and an element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInverseGeneralMappingRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1005
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "ImagesElm: for constant time access general mapping, and element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsConstantTimeAccessGeneralMapping",
+                            "Tester(IsConstantTimeAccessGeneralMapping)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 976
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "ImagesElm: for non s.p. general mapping, and element",
+                    "filters": [
+                        [
+                            "IsNonSPGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 956
+                    },
+                    "rank": 8
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ImagesElm",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ImagesRepresentative"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 776
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ImagesRepresentative: for zero mapping and object",
+                    "filters": [
+                        [
+                            "IsZero",
+                            "Tester(IsZero)",
+                            "IsGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1556
+                    },
+                    "rank": 10017
+                },
+                {
+                    "comment": "ImagesRepresentative: for identity mapping and object",
+                    "filters": [
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1272
+                    },
+                    "rank": 10017
+                },
+                {
+                    "comment": "ImagesRepresentative: for total GGMBPCGS, and mult.-elm.-with-inverse",
+                    "filters": [
+                        [
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsGroupGeneralMappingByPcgs"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghompcgs.gi",
+                        "line": 152
+                    },
+                    "rank": 125
+                },
+                {
+                    "comment": "ImagesRepresentative: for a blow up isomorphism, and a matrix in the source",
+                    "filters": [
+                        [
+                            "IsBlowUpIsomorphism"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpmat.gi",
+                        "line": 994
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "ImagesRepresentative: for an alg. hom. from f. p. algebra, and an element",
+                    "filters": [
+                        [
+                            "IsAlgebraHomomorphismFromFpRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 1065
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "ImagesRepresentative: for an operation algebra homomorphism, and an element",
+                    "filters": [
+                        [
+                            "IsOperationAlgebraHomomorphismDefaultRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 890
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "ImagesRepresentative: for ANF automorphism and scalar",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 1978
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "ImagesRepresentative: simple tests on equal words to check whether the `generators' are mapped",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByImages",
+                            "IsFromFpGroupGeneralMappingByImages"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 348
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "ImagesRepresentative: map from fp group or free group, use 'MappedWord'",
+                    "filters": [
+                        [
+                            "IsFromFpGroupStdGensGeneralMappingByImages"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 26
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "ImagesRepresentative: map from (sub)fp group, rewrite",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByImages",
+                            "IsFromFpGroupGeneralMappingByImages"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 320
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "ImagesRepresentative: for embedding of ring into magma ring, and ring element",
+                    "filters": [
+                        [
+                            "IsEmbeddingRingMagmaRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1211
+                    },
+                    "rank": 33
+                },
+                {
+                    "aka": [
+                        "FptoSCAMorphismImageElm"
+                    ],
+                    "comment": "ImagesRepresentative: for Fp to SCA mapping, and element",
+                    "filters": [
+                        [
+                            "IsFptoSCAMorphism"
+                        ],
+                        [
+                            "IsElementOfFpAlgebra"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 4027
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "ImagesRepresentative",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsPcgsToPcgsGeneralMappingByImages"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghompcgs.gi",
+                        "line": 608
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "ImagesRepresentative: using `RepresentativeAction'",
+                    "filters": [
+                        [
+                            "Tester(ImagesSource)",
+                            "IsActionHomomorphismByBase"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 3067
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "ImagesRepresentative: imprim perm wreath product embedding",
+                    "filters": [
+                        [
+                            "IsEmbeddingImprimitiveWreathProductPermGroup"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 741
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "ImagesRepresentative: restricted perm",
+                    "filters": [
+                        [
+                            "IsActionHomomorphismSubset"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 3105
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "ImagesRepresentative: for action hom that is `ByAsGroup'",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByAsGroupGeneralMappingByImages",
+                            "IsActionHomomorphism"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 3010
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "ImagesRepresentative: imprim matrix wreath product embedding",
+                    "filters": [
+                        [
+                            "IsEmbeddingImprimitiveWreathProductMatrixGroup"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdmat.gi",
+                        "line": 362
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "ImagesRepresentative: matrix direct product projection",
+                    "filters": [
+                        [
+                            "IsProjectionDirectProductMatrixGroup"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdmat.gi",
+                        "line": 202
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "ImagesRepresentative: matrix direct product embedding",
+                    "filters": [
+                        [
+                            "IsEmbeddingDirectProductMatrixGroup"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdmat.gi",
+                        "line": 139
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "ImagesRepresentative: perm subdirect product projection",
+                    "filters": [
+                        [
+                            "IsProjectionSubdirectProductPermGroup"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 452
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "ImagesRepresentative: perm direct product projection",
+                    "filters": [
+                        [
+                            "IsProjectionDirectProductPermGroup"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 278
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "ImagesRepresentative: perm direct product embedding",
+                    "filters": [
+                        [
+                            "IsEmbeddingDirectProductPermGroup"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 155
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "ImagesRepresentative: blocks homomorphism",
+                    "filters": [
+                        [
+                            "IsBlocksHomomorphism"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1580
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "ImagesRepresentative: Constituent homomorphism",
+                    "filters": [
+                        [
+                            "IsConstituentHomomorphism"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1417
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "ImagesRepresentative: for conjugator isomorphism",
+                    "filters": [
+                        [
+                            "IsConjugatorIsomorphism",
+                            "Tester(IsConjugatorIsomorphism)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 1179
+                    },
+                    "rank": 28
+                },
+                {
+                    "aka": [
+                        "ImageElmActionHomomorphism"
+                    ],
+                    "comment": "ImagesRepresentative: for action hom",
+                    "filters": [
+                        [
+                            "IsActionHomomorphism"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 3002
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "ImagesRepresentative: for Frobenius automorphism and source element",
+                    "filters": [
+                        [
+                            "IsFrobeniusAutomorphism"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 752
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "ImagesRepresentative: for polring g.m.b.i., and element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsPolynomialRingDefaultGeneratorMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 845
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "ImagesRepresentative: for algebra g.m.b.i., and element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 552
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "ImagesRepresentative: word decomp hom",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByImages",
+                            "IsWordDecompHomomorphism",
+                            "Tester(IsWordDecompHomomorphism)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpfpiso.gi",
+                        "line": 473
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "ImagesRepresentative: perm group hom",
+                    "filters": [
+                        [
+                            "IsPermGroupGeneralMappingByImages"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1026
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "ImagesRepresentative: for SC ring g.m.b.i., and element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "IsSCRingGeneralMappingByImagesDefaultRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 440
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "ImagesRepresentative: for `ByAsGroupGeneralMapping' hom",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByAsGroupGeneralMappingByImages"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 263
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ImagesRepresentative: for left module m.b.m., and element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearMappingByMatrixDefaultRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1219
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ImagesRepresentative: for left module g.m.b.i., and element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 483
+                    },
+                    "rank": 23
+                },
+                {
+                    "aka": [
+                        "ImagesRepresentativeGMBIByElementsList"
+                    ],
+                    "comment": "ImagesRepresentative: parallel enumeration of source and range",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByImages"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 849
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "ImagesRepresentative: for embedding of magma into magma ring, and mult. element",
+                    "filters": [
+                        [
+                            "IsEmbeddingMagmaMagmaRing"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1315
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "ImagesRepresentative: equivalence relations",
+                    "filters": [
+                        [
+                            "IsEquivalenceRelation",
+                            "Tester(IsEquivalenceRelation)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1906
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "ImagesRepresentative: for semigroup homomorphism by images",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSPGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "IsSemigroupHomomorphismByImagesRep"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 1288
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "ImagesRepresentative: for mapping by function",
+                    "filters": [
+                        [
+                            "IsMappingByFunctionRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 618
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "ImagesRepresentative: for a restricted mapping, and an element",
+                    "filters": [
+                        [
+                            "IsGeneralRestrictedMappingRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1787
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "ImagesRepresentative: for a composition mapping, and an element",
+                    "filters": [
+                        [
+                            "IsCompositionMappingRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 301
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "ImagesRepresentative: for an inverse mapping and an element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInverseGeneralMappingRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1031
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "ImagesRepresentative: for non s.p. general mapping, and element",
+                    "filters": [
+                        [
+                            "IsNonSPGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1066
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "ImagesRepresentative: for s.p. general mapping, and element",
+                    "filters": [
+                        [
+                            "IsSPGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1041
+                    },
+                    "rank": 8
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ImagesRepresentative",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ImagesSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 799
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ImagesSet: for zero mapping and collection",
+                    "filters": [
+                        [
+                            "IsZero",
+                            "Tester(IsZero)",
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1543
+                    },
+                    "rank": 10019
+                },
+                {
+                    "comment": "ImagesSet: for identity mapping and collection",
+                    "filters": [
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1248
+                    },
+                    "rank": 10019
+                },
+                {
+                    "comment": "ImagesSet: for ANF automorphism and field",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 1965
+                    },
+                    "rank": 80
+                },
+                {
+                    "comment": "ImagesSet: for Frobenius automorphism and field contained in the source",
+                    "filters": [
+                        [
+                            "IsFrobeniusAutomorphism"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 744
+                    },
+                    "rank": 80
+                },
+                {
+                    "comment": "ImagesSet: constituent homomorphism",
+                    "filters": [
+                        [
+                            "IsConstituentHomomorphism"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(StabChainMutable)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1445
+                    },
+                    "rank": 79
+                },
+                {
+                    "comment": "ImagesSet: for blocks homomorphism and perm. group",
+                    "filters": [
+                        [
+                            "IsBlocksHomomorphism"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1660
+                    },
+                    "rank": 78
+                },
+                {
+                    "comment": "ImagesSet: for field homomorphism and field",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 1299
+                    },
+                    "rank": 77
+                },
+                {
+                    "comment": "ImagesSet: for conjugator isomorphism, and group",
+                    "filters": [
+                        [
+                            "IsConjugatorIsomorphism",
+                            "Tester(IsConjugatorIsomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 1192
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "ImagesSet: method for algebra-with-one hom. and FLMLOR-with-one",
+                    "filters": [
+                        [
+                            "IsSPGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsOne",
+                            "Tester(RespectsOne)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 982
+                    },
+                    "rank": 56
+                },
+                {
+                    "comment": "ImagesSet: method for injective s.p. mapping respecting mult. & inv., and group",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSPGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsInjective",
+                            "Tester(IsInjective)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 328
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "ImagesSet: for polring g.m.b.i., and ring",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsPolynomialRingDefaultGeneratorMapping"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 873
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "ImagesSet: method for algebra hom. and FLMLOR",
+                    "filters": [
+                        [
+                            "IsSPGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 955
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "ImagesSet: method for s.p. general mapping respecting mult. & inv., and group",
+                    "filters": [
+                        [
+                            "IsSPGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 298
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "ImagesSet: method for linear mapping and left module",
+                    "filters": [
+                        [
+                            "IsSPGeneralMapping",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 888
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "ImagesSet: method for s.p. gen. mapping resp. add. & add.inv., and add. group",
+                    "filters": [
+                        [
+                            "IsSPGeneralMapping",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ],
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 682
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "ImagesSet: for general mapping, and empty list",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1005
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "ImagesSet: for a restricted mapping, and an collection",
+                    "filters": [
+                        [
+                            "IsGeneralRestrictedMappingRep"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1761
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "ImagesSet: for a composition mapping, and an collection",
+                    "filters": [
+                        [
+                            "IsCompositionMappingRep"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 269
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "ImagesSet: for an inverse mapping and a collection",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInverseGeneralMappingRep"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1018
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "ImagesSet: for general mapping, and finite collection",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 997
+                    },
+                    "rank": 9
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ImagesSet",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ImageElm"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping",
+                    "IsTotal",
+                    "Tester(IsTotal)",
+                    "IsSingleValued",
+                    "Tester(IsSingleValued)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 822
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ImageElm: for zero mapping and object",
+                    "filters": [
+                        [
+                            "IsZero",
+                            "Tester(IsZero)",
+                            "IsGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1517
+                    },
+                    "rank": 10017
+                },
+                {
+                    "comment": "ImageElm: for identity mapping and object",
+                    "filters": [
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1220
+                    },
+                    "rank": 10017
+                },
+                {
+                    "comment": "ImageElm: for ANF automorphism and scalar",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 1939
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "ImageElm: for Fp to SCA mapping, and element",
+                    "filters": [
+                        [
+                            "IsFptoSCAMorphism"
+                        ],
+                        [
+                            "IsElementOfFpAlgebra"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 4021
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "ImageElm: for Frobenius automorphism and source element",
+                    "filters": [
+                        [
+                            "IsFrobeniusAutomorphism"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 728
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "ImageElm: for mapping by function",
+                    "filters": [
+                        [
+                            "IsMappingByFunctionRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 592
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "ImageElm: for an inverse mapping and an element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsInverseGeneralMappingRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 992
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "ImageElm: for mapping, and element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 943
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "ImageElm: for general mapping, and element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 936
+                    },
+                    "rank": 7
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ImageElm",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PreImagesElm"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 949
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "PreImagesElm: for zero mapping and object",
+                    "filters": [
+                        [
+                            "IsZero",
+                            "Tester(IsZero)",
+                            "IsGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1573
+                    },
+                    "rank": 10017
+                },
+                {
+                    "comment": "PreImagesElm: for identity mapping and object",
+                    "filters": [
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1300
+                    },
+                    "rank": 10017
+                },
+                {
+                    "comment": "PreImagesElm: for embedding of ring into magma ring, and free magma ring element",
+                    "filters": [
+                        [
+                            "IsEmbeddingRingMagmaRing"
+                        ],
+                        [
+                            "IsElementOfFreeMagmaRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1228
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "PreImagesElm: for ANF automorphism and scalar",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 2007
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "PreImagesElm: for embedding of magma into magma ring, and free magma ring element",
+                    "filters": [
+                        [
+                            "IsEmbeddingMagmaMagmaRing"
+                        ],
+                        [
+                            "IsElementOfFreeMagmaRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1332
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "PreImagesElm: for binary rels over [1..n] with images list",
+                    "filters": [
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsBinaryRelationOnPointsRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1121
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "PreImagesElm: for field homomorphism and element",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 1318
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PreImagesElm: for Lie embedding and Lie object in default representation",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLieEmbeddingRep"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsLieObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 455
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PreImagesElm: equivalence relations with parition and element",
+                    "filters": [
+                        [
+                            "IsEquivalenceRelation",
+                            "Tester(IsEquivalenceRelation)",
+                            "Tester(EquivalenceRelationPartition)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1953
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "PreImagesElm: for mapping by function",
+                    "filters": [
+                        [
+                            "IsMappingByFunctionWithInverseRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 671
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "PreImagesElm: method for s.p. gen. mapping respecting add. & add.inv., and element",
+                    "filters": [
+                        [
+                            "IsSPGeneralMapping",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 703
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "PreImagesElm: method for s.p. general mapping respecting mult. & inv., and element",
+                    "filters": [
+                        [
+                            "IsSPGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 349
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "PreImagesElm: for a restricted mapping, and an element",
+                    "filters": [
+                        [
+                            "IsGeneralRestrictedMappingRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1806
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "PreImagesElm: for a composition mapping, and an element",
+                    "filters": [
+                        [
+                            "IsCompositionMappingRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 320
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "PreImagesElm: for an inverse mapping and an element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInverseGeneralMappingRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1058
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "PreImagesElm: for constant time access general mapping, and element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsConstantTimeAccessGeneralMapping",
+                            "Tester(IsConstantTimeAccessGeneralMapping)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1132
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "PreImagesElm: for general mapping with finite source, and element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1112
+                    },
+                    "rank": 7
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PreImagesElm",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PreImageElm"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping",
+                    "IsInjective",
+                    "Tester(IsInjective)",
+                    "IsSurjective",
+                    "Tester(IsSurjective)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 973
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "PreImageElm: for identity mapping and object",
+                    "filters": [
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1286
+                    },
+                    "rank": 10017
+                },
+                {
+                    "comment": "PreImageElm: for ANF automorphism and scalar",
+                    "filters": [
+                        [
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsInjective",
+                            "Tester(IsInjective)",
+                            "IsSurjective",
+                            "Tester(IsSurjective)",
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 1993
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "PreImageElm: for mapping by function",
+                    "filters": [
+                        [
+                            "IsMappingByFunctionWithInverseRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 658
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "PreImageElm: for an inj. & surj. inverse mapping, and an element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInjective",
+                            "Tester(IsInjective)",
+                            "IsSurjective",
+                            "Tester(IsSurjective)",
+                            "IsInverseGeneralMappingRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1045
+                    },
+                    "rank": 13
+                },
+                {
+                    "aka": [
+                        "PreImagesRepresentative"
+                    ],
+                    "comment": "PreImageElm: for inj. & surj. general mapping, and element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInjective",
+                            "Tester(IsInjective)",
+                            "IsSurjective",
+                            "Tester(IsSurjective)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1088
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "PreImageElm: for general mapping, and element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1082
+                    },
+                    "rank": 7
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PreImageElm",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 999
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "PreImagesRepresentative: for zero mapping and object",
+                    "filters": [
+                        [
+                            "IsZero",
+                            "Tester(IsZero)",
+                            "IsGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1607
+                    },
+                    "rank": 10017
+                },
+                {
+                    "comment": "PreImagesRepresentative: for identity mapping and object",
+                    "filters": [
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1328
+                    },
+                    "rank": 10017
+                },
+                {
+                    "aka": [
+                        "PreImagesRepresentativeOperationAlgebraHomomorphism"
+                    ],
+                    "comment": "PreImagesRepresentative: for an alg. hom. from f. p. algebra, and an element",
+                    "filters": [
+                        [
+                            "IsAlgebraHomomorphismFromFpRep"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 912
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "PreImagesRepresentative: for an operation algebra homomorphism, and an element",
+                    "filters": [
+                        [
+                            "IsOperationAlgebraHomomorphismDefaultRep"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 912
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "PreImagesRepresentative: for a blow up isomorphism, and a matrix in the range",
+                    "filters": [
+                        [
+                            "IsBlowUpIsomorphism"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpmat.gi",
+                        "line": 1052
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "PreImagesRepresentative: for embedding of ring into magma ring, and free magma ring element",
+                    "filters": [
+                        [
+                            "IsEmbeddingRingMagmaRing"
+                        ],
+                        [
+                            "IsElementOfFreeMagmaRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1244
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "PreImagesRepresentative: for ANF automorphism and scalar",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 2034
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "PreImagesRepresentative: for Fp to SCA mapping, and element",
+                    "filters": [
+                        [
+                            "IsFptoSCAMorphism"
+                        ],
+                        [
+                            "IsSCAlgebraObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 4146
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "PreImagesRepresentative: AutomGroup Niceomorphism",
+                    "filters": [
+                        [
+                            "IsActionHomomorphismAutomGroup"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/morpheus.gi",
+                        "line": 535
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "PreImagesRepresentative: IsProjectiveActionHomomorphism",
+                    "filters": [
+                        [
+                            "IsProjectiveActionHomomorphism"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 3188
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "PreImagesRepresentative: IsLinearActionHomomorphism",
+                    "filters": [
+                        [
+                            "IsLinearActionHomomorphism"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 3143
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "PreImagesRepresentative: constituent homomorphism",
+                    "filters": [
+                        [
+                            "IsConstituentHomomorphism"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1497
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "PreImagesRepresentative: for embedding of magma into magma ring, and free magma ring element",
+                    "filters": [
+                        [
+                            "IsEmbeddingMagmaMagmaRing"
+                        ],
+                        [
+                            "IsElementOfFreeMagmaRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1348
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "PreImagesRepresentative",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsPcgsToPcgsGeneralMappingByImages"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghompcgs.gi",
+                        "line": 620
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "PreImagesRepresentative: imprim perm wreath product embedding",
+                    "filters": [
+                        [
+                            "IsEmbeddingImprimitiveWreathProductPermGroup"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 759
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "PreImagesRepresentative: hom. to standard generators of fp group, using 'MappedWord'",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsToFpGroupGeneralMappingByImages"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 726
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "PreImagesRepresentative: imprim matrix wreath product embedding",
+                    "filters": [
+                        [
+                            "IsEmbeddingImprimitiveWreathProductMatrixGroup"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdmat.gi",
+                        "line": 383
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "PreImagesRepresentative: matrix direct product projection",
+                    "filters": [
+                        [
+                            "IsProjectionDirectProductMatrixGroup"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdmat.gi",
+                        "line": 218
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "PreImagesRepresentative: matrix direct product embedding",
+                    "filters": [
+                        [
+                            "IsEmbeddingDirectProductMatrixGroup"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdmat.gi",
+                        "line": 160
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "PreImagesRepresentative: perm subdirect product projection",
+                    "filters": [
+                        [
+                            "IsProjectionSubdirectProductPermGroup"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 486
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "PreImagesRepresentative: perm direct product projection",
+                    "filters": [
+                        [
+                            "IsProjectionDirectProductPermGroup"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 290
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "PreImagesRepresentative: perm direct product embedding",
+                    "filters": [
+                        [
+                            "IsEmbeddingDirectProductPermGroup"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 179
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "PreImagesRepresentative: blocks homomorphism",
+                    "filters": [
+                        [
+                            "IsBlocksHomomorphism"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1737
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "PreImagesRepresentative: for conjugator isomorphism",
+                    "filters": [
+                        [
+                            "IsConjugatorIsomorphism",
+                            "Tester(IsConjugatorIsomorphism)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 1205
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "PreImagesRepresentative: method for pcgs hom",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsToPcGroupGeneralMappingByImages"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghompcgs.gi",
+                        "line": 513
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "PreImagesRepresentative: for algebra g.m.b.i. knowing inverse, and element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "Tester(InverseGeneralMapping)",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 577
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "PreImagesRepresentative: for algebra g.m.b.i., and element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 567
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "PreImagesRepresentative: for PBG-Niceo",
+                    "filters": [
+                        [
+                            "IsPreimagesByAsGroupGeneralMappingByImages",
+                            "IsNiceMonomorphism"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 966
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PreImagesRepresentative",
+                    "filters": [
+                        [
+                            "IsToPermGroupGeneralMappingByImages"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1102
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PreImagesRepresentative: for ring g.m.b.i., and element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "IsRingGeneralMappingByImagesDefaultRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 453
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PreImagesRepresentative: for left module m.b.m., and element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearMappingByMatrixDefaultRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1240
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PreImagesRepresentative: for left module g.m.b.i., and element",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 504
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PreImagesRepresentative: for GHBI and mult.-elm.-with-inverse",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByImages"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 866
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "PreImagesRepresentative: for PBG-Hom",
+                    "filters": [
+                        [
+                            "IsPreimagesByAsGroupGeneralMappingByImages"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 281
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "PreImagesRepresentative: equivalence relations",
+                    "filters": [
+                        [
+                            "IsEquivalenceRelation",
+                            "Tester(IsEquivalenceRelation)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/relation.gi",
+                        "line": 1916
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "PreImagesRepresentative: for semigroup homomorphism by images",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSPGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "IsSemigroupHomomorphismByImagesRep"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 1314
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "PreImagesRepresentative: for mapping by function with inverse",
+                    "filters": [
+                        [
+                            "IsMappingByFunctionWithInverseRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 683
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "PreImagesRepresentative: for mapping by function",
+                    "filters": [
+                        [
+                            "IsMappingByFunctionRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 645
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "PreImagesRepresentative: for a restricted mapping, and an element",
+                    "filters": [
+                        [
+                            "IsGeneralRestrictedMappingRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1850
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "PreImagesRepresentative: for a composition mapping, and an element",
+                    "filters": [
+                        [
+                            "IsCompositionMappingRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 371
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "PreImagesRepresentative: for an inverse mapping and an element",
+                    "filters": [
+                        [
+                            "IsInverseGeneralMappingRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1084
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "PreImagesRepresentative: for total non-s.p. general mapping, and element",
+                    "filters": [
+                        [
+                            "IsNonSPGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1221
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "PreImagesRepresentative: for s.p. general mapping, and element",
+                    "filters": [
+                        [
+                            "IsSPGeneralMapping"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1197
+                    },
+                    "rank": 8
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PreImagesRepresentative",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PreImagesSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 1021
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "PreImagesSet: for zero mapping and collection",
+                    "filters": [
+                        [
+                            "IsZero",
+                            "Tester(IsZero)",
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1590
+                    },
+                    "rank": 10019
+                },
+                {
+                    "comment": "PreImagesSet: for identity mapping and collection",
+                    "filters": [
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1314
+                    },
+                    "rank": 10019
+                },
+                {
+                    "comment": "PreImagesSet: for ANF automorphism and scalar",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 2020
+                    },
+                    "rank": 80
+                },
+                {
+                    "comment": "PreImagesSet",
+                    "filters": [
+                        [
+                            "IsBlocksHomomorphism"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1750
+                    },
+                    "rank": 78
+                },
+                {
+                    "comment": "PreImagesSet: constituent homomorphism",
+                    "filters": [
+                        [
+                            "IsConstituentHomomorphism"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1530
+                    },
+                    "rank": 78
+                },
+                {
+                    "comment": "PreImagesSet: for field homomorphism and field",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 1334
+                    },
+                    "rank": 77
+                },
+                {
+                    "comment": "PreImagesSet: map from (sub)group of fp group",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsFromFpGroupGeneralMapping"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 603
+                    },
+                    "rank": 63
+                },
+                {
+                    "comment": "PreImagesSet: for conjugator isomorphism, and group",
+                    "filters": [
+                        [
+                            "IsConjugatorIsomorphism",
+                            "Tester(IsConjugatorIsomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 1218
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "PreImagesSet: method for algebra-with-one hom. and FLMLOR-with-one",
+                    "filters": [
+                        [
+                            "IsSPGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsOne",
+                            "Tester(RespectsOne)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1035
+                    },
+                    "rank": 56
+                },
+                {
+                    "comment": "PreImagesSet: method for injective s.p. mapping respecting mult. & inv., and group",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSPGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsInjective",
+                            "Tester(IsInjective)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 401
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "PreImagesSet: method for permgroup homs",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsPermGroupGeneralMapping"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 53
+                    },
+                    "rank": 53
+                },
+                {
+                    "comment": "PreImagesSet: method for algebra hom. and FLMLOR",
+                    "filters": [
+                        [
+                            "IsSPGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 1008
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "PreImagesSet: method for s.p. general mapping respecting mult. & inv., and group",
+                    "filters": [
+                        [
+                            "IsSPGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 385
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "PreImagesSet: method for linear mapping and left module",
+                    "filters": [
+                        [
+                            "IsSPGeneralMapping",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 913
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "PreImagesSet: method for s.p. gen. mapping resp. add. & add.inv., and add. group",
+                    "filters": [
+                        [
+                            "IsSPGeneralMapping",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ],
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 727
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "PreImagesSet: for general mapping, and empty list",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1161
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "PreImagesSet: for a restricted mapping, and an collection",
+                    "filters": [
+                        [
+                            "IsGeneralRestrictedMappingRep"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1825
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "PreImagesSet: for a composition mapping, and an collection",
+                    "filters": [
+                        [
+                            "IsCompositionMappingRep"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 339
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "PreImagesSet: for an inverse mapping and a collection",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInverseGeneralMappingRep"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1071
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "PreImagesSet: for general mapping, and finite collection",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1153
+                    },
+                    "rank": 9
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PreImagesSet",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CompositionMapping2"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 1157
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "CompositionMapping2: for zero mapping and single-valued gen. mapping that resp. zero",
+                    "filters": [
+                        [
+                            "IsZero",
+                            "Tester(IsZero)",
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsZero",
+                            "Tester(RespectsZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1661
+                    },
+                    "rank": 10028
+                },
+                {
+                    "comment": "CompositionMapping2: for identity mapping and general mapping",
+                    "filters": [
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1390
+                    },
+                    "rank": 10025
+                },
+                {
+                    "comment": "CompositionMapping2: for general mapping and identity mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsOne",
+                            "Tester(IsOne)",
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1370
+                    },
+                    "rank": 10025
+                },
+                {
+                    "comment": "CompositionMapping2: for general mapping and zero mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsZero",
+                            "Tester(IsZero)",
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1646
+                    },
+                    "rank": 10024
+                },
+                {
+                    "comment": "CompositionMapping2: method for two pc group automorphisms",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsInjective",
+                            "Tester(IsInjective)",
+                            "IsSurjective",
+                            "Tester(IsSurjective)",
+                            "IsPcGroupGeneralMappingByImages",
+                            "IsToPcGroupGeneralMappingByImages"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsInjective",
+                            "Tester(IsInjective)",
+                            "IsSurjective",
+                            "Tester(IsSurjective)",
+                            "IsPcGroupGeneralMappingByImages",
+                            "IsToPcGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghompcgs.gi",
+                        "line": 129
+                    },
+                    "rank": 56
+                },
+                {
+                    "comment": "CompositionMapping2: for two inner automorphisms",
+                    "filters": [
+                        [
+                            "IsInnerAutomorphism",
+                            "Tester(IsInnerAutomorphism)"
+                        ],
+                        [
+                            "IsInnerAutomorphism",
+                            "Tester(IsInnerAutomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 1166
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "CompositionMapping2: for two ANF automorphisms",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ],
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)",
+                            "IsANFAutomorphismRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 2048
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "CompositionMapping2: for two Frobenius automorphisms",
+                    "filters": [
+                        [
+                            "IsFrobeniusAutomorphism"
+                        ],
+                        [
+                            "IsFrobeniusAutomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 766
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "CompositionMapping2: for gp. hom. and fp. hom, transferring the coset table",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)",
+                            "IsFromFpGroupGeneralMappingByImages",
+                            "Tester(CosetTableFpHom)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 690
+                    },
+                    "rank": 51
+                },
+                {
+                    "comment": "CompositionMapping2: for two conjugator automorphisms",
+                    "filters": [
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsConjugatorIsomorphism",
+                            "Tester(IsConjugatorIsomorphism)"
+                        ],
+                        [
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsConjugatorIsomorphism",
+                            "Tester(IsConjugatorIsomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 1148
+                    },
+                    "rank": 50
+                },
+                {
+                    "comment": "CompositionMapping2: fp hom. with perm group hom.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsSurjective",
+                            "Tester(IsSurjective)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)",
+                            "IsToFpGroupGeneralMappingByImages"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)",
+                            "IsPermGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1090
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "CompositionMapping2: for two conjugator isomorphisms",
+                    "filters": [
+                        [
+                            "IsConjugatorIsomorphism",
+                            "Tester(IsConjugatorIsomorphism)"
+                        ],
+                        [
+                            "IsConjugatorIsomorphism",
+                            "Tester(IsConjugatorIsomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 1130
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "CompositionMapping2: for left module hom. and algebra g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 677
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "CompositionMapping2: for left module hom. and linear m.b.m.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)",
+                            "IsLinearMappingByMatrixDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1508
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "CompositionMapping2: for action homomorphism with blocks homomorphism",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)",
+                            "IsBlocksHomomorphism"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)",
+                            "IsActionHomomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1861
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "CompositionMapping2: for left module hom. and algebra g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 623
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "CompositionMapping2: for left module hom. and linear g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 732
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "CompositionMapping2: group hom. with perm group hom.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)",
+                            "IsPermGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1069
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "CompositionMapping2: method for hom2 from pc group",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsGroupGeneralMappingByPcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghompcgs.gi",
+                        "line": 82
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "CompositionMapping2: for semigroup homomorphism by images",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSPGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "IsSemigroupHomomorphismByImagesRep"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsSPGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "IsSemigroupHomomorphismByImagesRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semirel.gi",
+                        "line": 1361
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "CompositionMapping2: IsTransformationRepOfEndo, IsTransformationRepOfEndo",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsTransformationRepOfEndo"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsTransformationRepOfEndo"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fastendo.gi",
+                        "line": 107
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "CompositionMapping2: for gp. hom. and gp. gen. mapp., using `MappingGeneratorsImages'",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 227
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "CompositionMapping2: IsTransformationRepOfEndo, IsEndoMapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsTransformationRepOfEndo"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fastendo.gi",
+                        "line": 137
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "CompositionMapping2: IsEndoMapping, IsTransformationRepOfEndo",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsEndoGeneralMapping",
+                            "Tester(IsEndoGeneralMapping)",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsTransformationRepOfEndo"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fastendo.gi",
+                        "line": 122
+                    },
+                    "rank": 29
+                },
+                {
+                    "aka": [
+                        "CompositionMapping2General"
+                    ],
+                    "comment": "CompositionMapping2: for two general mappings",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 148
+                    },
+                    "rank": 14
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CompositionMapping2",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ZeroMapping"
+        ],
+        "filters": [
+            [
+                [
+                    "IsCollection"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 1255
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ZeroMapping: for collection and additive-magma-with-zero",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ],
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveMagmaWithZero",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1470
+                    },
+                    "rank": 16
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ZeroMapping",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RestrictedMapping"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsCollection",
+                    "IsGeneralizedDomain"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 1275
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "RestrictedMapping: try if restriction is proper",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 88
+                    },
+                    "rank": 10048
+                },
+                {
+                    "comment": "RestrictedMapping: for mapping that is already restricted",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsGeneralRestrictedMappingRep"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1946
+                    },
+                    "rank": 10015
+                },
+                {
+                    "comment": "RestrictedMapping: action homomorphism",
+                    "filters": [
+                        [
+                            "IsActionHomomorphism"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 898
+                    },
+                    "rank": 57
+                },
+                {
+                    "comment": "RestrictedMapping: injective case: use GeneralRestrictedMapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsInjective",
+                            "Tester(IsInjective)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 133
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "RestrictedMapping: create new GHBI",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 117
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "RestrictedMapping: use GeneralRestrictedMapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1957
+                    },
+                    "rank": 12
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RestrictedMapping",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "Embedding"
+        ],
+        "filters": [
+            [
+                [
+                    "IsCollection",
+                    "IsGeneralizedDomain"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 1327
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Embedding: generic method for perm semidirect products",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(SemidirectProductInfo)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 1022
+                    },
+                    "rank": 78
+                },
+                {
+                    "comment": "Embedding: perm wreath product",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(WreathProductInfo)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 721
+                    },
+                    "rank": 78
+                },
+                {
+                    "comment": "Embedding: perm direct product",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(DirectProductInfo)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 136
+                    },
+                    "rank": 78
+                },
+                {
+                    "comment": "Embedding: of semidirect pc group and integer",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)",
+                            "Tester(SemidirectProductInfo)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdpc.gi",
+                        "line": 205
+                    },
+                    "rank": 66
+                },
+                {
+                    "comment": "Embedding: of pc group and integer",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)",
+                            "Tester(DirectProductInfo)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdpc.gi",
+                        "line": 90
+                    },
+                    "rank": 66
+                },
+                {
+                    "comment": "Embedding: matrix wreath product",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(WreathProductInfo)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdmat.gi",
+                        "line": 345
+                    },
+                    "rank": 65
+                },
+                {
+                    "comment": "Embedding: matrix direct product",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(DirectProductInfo)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdmat.gi",
+                        "line": 114
+                    },
+                    "rank": 65
+                },
+                {
+                    "comment": "Embedding: for ring and magma ring",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsFreeMagmaRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1188
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "Embedding: generic wreath product",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(WreathProductInfo)",
+                            "CategoryCollections(IsWreathProductElement)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 1018
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "Embedding: free products",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(FreeProductInfo)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 1541
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": "Embedding: vectorspace semidirect products",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(SemidirectProductInfo)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 1379
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": "Embedding: of semidirect product and integer",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(SemidirectProductInfo)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 1191
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": "Embedding: group direct product and integer",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(DirectProductInfo)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 146
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": "Embedding: for magma and magma ring",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ],
+                        [
+                            "IsFreeMagmaRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1290
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "Embedding: for two families, the first with known Lie family",
+                    "filters": [
+                        [
+                            "IsFamily",
+                            "Tester(LieFamily)"
+                        ],
+                        [
+                            "IsFamily"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 438
+                    },
+                    "rank": 3
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Embedding",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "Projection"
+        ],
+        "filters": [
+            [
+                [
+                    "IsCollection",
+                    "IsGeneralizedDomain"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 1360
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Projection: generic method for perm semidirect products",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(SemidirectProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 1048
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "Projection: perm wreath product",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(WreathProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 812
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "Projection: of semidirect pc group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)",
+                            "Tester(SemidirectProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdpc.gi",
+                        "line": 236
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "Projection: matrix wreath product",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(WreathProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdmat.gi",
+                        "line": 414
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "Projection: generic wreath product",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(WreathProductInfo)",
+                            "CategoryCollections(IsWreathProductElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 1047
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "Projection: of semidirect product",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(SemidirectProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 1203
+                    },
+                    "rank": 36
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "Projection: perm subdirect product",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(SubdirectProductInfo)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 429
+                    },
+                    "rank": 78
+                },
+                {
+                    "comment": "Projection: perm direct product",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(DirectProductInfo)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 255
+                    },
+                    "rank": 78
+                },
+                {
+                    "comment": "Projection: of pc group and integer",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)",
+                            "Tester(DirectProductInfo)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdpc.gi",
+                        "line": 125
+                    },
+                    "rank": 66
+                },
+                {
+                    "comment": "Projection: matrix direct product",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(DirectProductInfo)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdmat.gi",
+                        "line": 190
+                    },
+                    "rank": 65
+                },
+                {
+                    "comment": "Projection: pc subdirect product",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(SubdirectProductInfo)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 563
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": "Projection: group direct product and integer",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(DirectProductInfo)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 185
+                    },
+                    "rank": 55
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Projection",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 1478
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "MappingGeneratorsImages: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(MappingGeneratorsImages)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 1478
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "MappingGeneratorsImages: for action hom that is `ByAsGroup'",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByAsGroupGeneralMappingByImages",
+                            "IsActionHomomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 3024
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "MappingGeneratorsImages: for conjugator isomorphism",
+                    "filters": [
+                        [
+                            "IsConjugatorIsomorphism",
+                            "Tester(IsConjugatorIsomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 1059
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "MappingGeneratorsImages: for group homomorphism",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 496
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "MappingGeneratorsImages:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 499
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "MappingGeneratorsImages",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetMappingGeneratorsImages"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 1478
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(MappingGeneratorsImages): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 1478
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(MappingGeneratorsImages): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gd",
+                        "line": 1478
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(MappingGeneratorsImages)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasMappingGeneratorsImages"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapping.gd",
+                "line": 1478
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(MappingGeneratorsImages)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 60
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "RespectsMultiplication: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RespectsMultiplication)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 60
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "RespectsMultiplication: method for a general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 59
+                    },
+                    "rank": 7
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RespectsMultiplication",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetRespectsMultiplication"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 60
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(RespectsMultiplication): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 60
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(RespectsMultiplication): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 60
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(RespectsMultiplication)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 60
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(RespectsMultiplication)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 89
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "RespectsOne: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RespectsOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 89
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "RespectsOne: method for a general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 76
+                    },
+                    "rank": 7
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RespectsOne",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetRespectsOne"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 89
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(RespectsOne): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 89
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(RespectsOne): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 89
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(RespectsOne)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 89
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(RespectsOne)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 119
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "RespectsInverses: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 119
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "RespectsInverses: method for a general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 107
+                    },
+                    "rank": 7
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RespectsInverses",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetRespectsInverses"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 119
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(RespectsInverses): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 119
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(RespectsInverses): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 119
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(RespectsInverses)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 119
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(RespectsInverses)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 180
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(KernelOfMultiplicativeGeneralMapping)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 180
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: get delayed set attribute values",
+                    "filters": [
+                        [
+                            "Tester(MappingOfWhichItIsAsGGMBI)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 286
+                    },
+                    "rank": 10013
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: method for an injective gen. mapping that respects mult. and one",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInjective",
+                            "Tester(IsInjective)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsOne",
+                            "Tester(RespectsOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 161
+                    },
+                    "rank": 10013
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: from fp/free group, std. gens., to perm group",
+                    "filters": [
+                        [
+                            "IsToPermGroupGeneralMappingByImages",
+                            "IsFromFpGroupGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 143
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: hom from fp grp",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)",
+                            "IsFromFpGroupGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 369
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: method for homs from pc group into pc group or perm group",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsPcGroupGeneralMappingByImages",
+                            "IsToPcGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghompcgs.gi",
+                        "line": 427
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: matrix direct product projection",
+                    "filters": [
+                        [
+                            "IsProjectionDirectProductMatrixGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdmat.gi",
+                        "line": 236
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: perm subdirect product projection",
+                    "filters": [
+                        [
+                            "IsProjectionSubdirectProductPermGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 505
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: perm direct product projection",
+                    "filters": [
+                        [
+                            "IsProjectionDirectProductPermGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 314
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: blocks homomorphism",
+                    "filters": [
+                        [
+                            "IsBlocksHomomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1803
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: for constituent homomorphism",
+                    "filters": [
+                        [
+                            "IsConstituentHomomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1542
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: method for homs from pc group",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsPcGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghompcgs.gi",
+                        "line": 478
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: for action homomorphism",
+                    "filters": [
+                        [
+                            "IsActionHomomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 3045
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: for perm to perm group homs, compute stab chain, try again",
+                    "filters": [
+                        [
+                            "IsPermGroupGeneralMappingByImages",
+                            "IsToPermGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1385
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: hom by function",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)",
+                            "IsMappingByFunctionRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 629
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: via `AsGroupGeneralMappingByImages'",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByAsGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 286
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: for GHBI",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 797
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: for a restricted mapping that resp. mult. and inv.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsGeneralRestrictedMappingRep",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1891
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: for a composition mapping that resp. mult. and inv.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsCompositionMappingRep",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 428
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: method for a finite general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsOne",
+                            "Tester(RespectsOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 148
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "KernelOfMultiplicativeGeneralMapping: for an inverse mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInverseGeneralMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 979
+                    },
+                    "rank": 9
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "KernelOfMultiplicativeGeneralMapping",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetKernelOfMultiplicativeGeneralMapping"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 180
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(KernelOfMultiplicativeGeneralMapping): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 180
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(KernelOfMultiplicativeGeneralMapping): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 180
+                    },
+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(KernelOfMultiplicativeGeneralMapping)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasKernelOfMultiplicativeGeneralMapping"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 180
+            }
+        ],
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+            "1args": [],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(KernelOfMultiplicativeGeneralMapping)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 204
+            }
+        ],
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+            "1args": [
+                {
+                    "comment": "CoKernelOfMultiplicativeGeneralMapping: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(CoKernelOfMultiplicativeGeneralMapping)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 204
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "CoKernelOfMultiplicativeGeneralMapping: get delayed set attribute values",
+                    "filters": [
+                        [
+                            "Tester(MappingOfWhichItIsAsGGMBI)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 284
+                    },
+                    "rank": 10013
+                },
+                {
+                    "comment": "CoKernelOfMultiplicativeGeneralMapping: method for a single-valued gen. mapping that respects mult. and one",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsOne",
+                            "Tester(RespectsOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 221
+                    },
+                    "rank": 10013
+                },
+                {
+                    "comment": "CoKernelOfMultiplicativeGeneralMapping: GHBI from fp grp",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByImages",
+                            "IsFromFpGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 394
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "CoKernelOfMultiplicativeGeneralMapping",
+                    "filters": [
+                        [
+                            "IsPermGroupGeneralMappingByImages",
+                            "IsToPermGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1397
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "CoKernelOfMultiplicativeGeneralMapping",
+                    "filters": [
+                        [
+                            "IsPermGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 974
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "CoKernelOfMultiplicativeGeneralMapping: for GMBPCGS: evaluate relations",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByPcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghompcgs.gi",
+                        "line": 276
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "CoKernelOfMultiplicativeGeneralMapping: via `AsGroupGeneralMappingByImages'",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByAsGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 284
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "CoKernelOfMultiplicativeGeneralMapping: for GHBI",
+                    "filters": [
+                        [
+                            "IsGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 786
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "CoKernelOfMultiplicativeGeneralMapping: for a restricted mapping that resp. mult. and inv.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsGeneralRestrictedMappingRep",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1905
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "CoKernelOfMultiplicativeGeneralMapping: for a composition mapping that resp. mult. and inv.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsCompositionMappingRep",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 447
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "CoKernelOfMultiplicativeGeneralMapping: method for a finite general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsOne",
+                            "Tester(RespectsOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 207
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "CoKernelOfMultiplicativeGeneralMapping: for an inverse mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInverseGeneralMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 967
+                    },
+                    "rank": 9
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CoKernelOfMultiplicativeGeneralMapping",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetCoKernelOfMultiplicativeGeneralMapping"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 204
+            }
+        ],
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+            "2args": [
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+                    "comment": "Setter(CoKernelOfMultiplicativeGeneralMapping): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 204
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(CoKernelOfMultiplicativeGeneralMapping): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 204
+                    },
+                    "rank": 0
+                }
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(CoKernelOfMultiplicativeGeneralMapping)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasCoKernelOfMultiplicativeGeneralMapping"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 204
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+        ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(CoKernelOfMultiplicativeGeneralMapping)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 240
+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RespectsAddition)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 240
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "RespectsAddition: method for a general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 440
+                    },
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+                }
+            ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetRespectsAddition"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 240
+            }
+        ],
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+                    "comment": "Setter(RespectsAddition): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 240
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(RespectsAddition): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 240
+                    },
+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 240
+            }
+        ],
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+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 270
+            }
+        ],
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+            "1args": [
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+                    "comment": "RespectsZero: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RespectsZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 270
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "RespectsZero: method for a general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 457
+                    },
+                    "rank": 7
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RespectsZero",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetRespectsZero"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 270
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(RespectsZero): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 270
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(RespectsZero): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 270
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(RespectsZero)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 270
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(RespectsZero)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 301
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "RespectsAdditiveInverses: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RespectsAdditiveInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 301
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "RespectsAdditiveInverses: method for a general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 490
+                    },
+                    "rank": 7
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RespectsAdditiveInverses",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetRespectsAdditiveInverses"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 301
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(RespectsAdditiveInverses): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 301
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(RespectsAdditiveInverses): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 301
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(RespectsAdditiveInverses)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 301
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(RespectsAdditiveInverses)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 358
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "KernelOfAdditiveGeneralMapping: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(KernelOfAdditiveGeneralMapping)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 358
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "KernelOfAdditiveGeneralMapping: method for zero mapping",
+                    "filters": [
+                        [
+                            "IsZero",
+                            "Tester(IsZero)",
+                            "IsGeneralMapping",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsZero",
+                            "Tester(RespectsZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 557
+                    },
+                    "rank": 10021
+                },
+                {
+                    "comment": "KernelOfAdditiveGeneralMapping: method for an injective gen. mapping that respects add. and zero",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInjective",
+                            "Tester(IsInjective)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsZero",
+                            "Tester(RespectsZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 546
+                    },
+                    "rank": 10013
+                },
+                {
+                    "comment": "KernelOfAdditiveGeneralMapping: for operation algebra hom. with fin. dim. source",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsOperationAlgebraHomomorphismDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 1204
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "KernelOfAdditiveGeneralMapping: for algebra g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 527
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "KernelOfAdditiveGeneralMapping: for a field homomorphism",
+                    "filters": [
+                        [
+                            "IsFieldHomomorphism",
+                            "Tester(IsFieldHomomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 1230
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "KernelOfAdditiveGeneralMapping: for ring g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsRingGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 407
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "KernelOfAdditiveGeneralMapping: for left module m.b.m.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearMappingByMatrixDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1182
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "KernelOfAdditiveGeneralMapping: for left module g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 441
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "KernelOfAdditiveGeneralMapping: for a restricted mapping that resp. add. and add.inv.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsGeneralRestrictedMappingRep",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1863
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "KernelOfAdditiveGeneralMapping: for a composition mapping that resp. add. and add.inv.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsCompositionMappingRep",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 390
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "KernelOfAdditiveGeneralMapping: method for a finite linear mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsZero",
+                            "Tester(RespectsZero)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 819
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "KernelOfAdditiveGeneralMapping: method for a finite general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsZero",
+                            "Tester(RespectsZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 533
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "KernelOfAdditiveGeneralMapping: for an inverse mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInverseGeneralMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 955
+                    },
+                    "rank": 9
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "KernelOfAdditiveGeneralMapping",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetKernelOfAdditiveGeneralMapping"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
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+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 358
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+        ],
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+                    "comment": "Setter(KernelOfAdditiveGeneralMapping): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 358
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(KernelOfAdditiveGeneralMapping): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 358
+                    },
+                    "rank": 0
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+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(KernelOfAdditiveGeneralMapping)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasKernelOfAdditiveGeneralMapping"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 358
+            }
+        ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(KernelOfAdditiveGeneralMapping)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                "line": 378
+            }
+        ],
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+            "1args": [
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+                    "comment": "CoKernelOfAdditiveGeneralMapping: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(CoKernelOfAdditiveGeneralMapping)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 378
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "CoKernelOfAdditiveGeneralMapping: method for a single-valued gen. mapping that respects add. and zero",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsZero",
+                            "Tester(RespectsZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gi",
+                        "line": 618
+                    },
+                    "rank": 10013
+                },
+                {
+                    "comment": "CoKernelOfAdditiveGeneralMapping: for algebra g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 469
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "CoKernelOfAdditiveGeneralMapping: for ring g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsRingGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 385
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "CoKernelOfAdditiveGeneralMapping: for left module g.m.b.i.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 399
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "CoKernelOfAdditiveGeneralMapping: for a restricted mapping that resp. add. and add.inv.",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsGeneralRestrictedMappingRep",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 1877
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsCompositionMappingRep",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 409
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+                    "rank": 16
+                },
+                {
+                    "comment": "CoKernelOfAdditiveGeneralMapping: method for a finite linear mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsZero",
+                            "Tester(RespectsZero)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 863
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsZero",
+                            "Tester(RespectsZero)"
+                        ]
+                    ],
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+                        "line": 604
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+                },
+                {
+                    "comment": "CoKernelOfAdditiveGeneralMapping: for an inverse mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsInverseGeneralMappingRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapprep.gi",
+                        "line": 943
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                ],
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+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
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+                        "line": 378
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+                },
+                {
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+                    "filters": [
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+            "5args": [],
+            "6args": []
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+    },
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+                ]
+            ]
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RespectsScalarMultiplication)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapphomo.gd",
+                        "line": 416
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+                    "rank": 20010
+                },
+                {
+                    "comment": "RespectsScalarMultiplication: method for a general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
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+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
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+    {
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+        "filters": [
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+                [
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+                    "filters": [
+                        [
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+                        []
+                    ],
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+                        "line": 416
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+                    "rank": 2
+                },
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+                    "filters": [
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+                        []
+                    ],
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+            "5args": [],
+            "6args": []
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+    },
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+        "filters": [
+            [
+                [
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+                ]
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+    {
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+                    "IsGeneralizedDomain"
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+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
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+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
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+            [
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+                "line": 607
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsFieldHomomorphism)"
+                        ]
+                    ],
+                    "location": {
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+                },
+                {
+                    "comment": "IsFieldHomomorphism",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 1211
+                    },
+                    "rank": 7
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsGeneralMapping"
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+                    ],
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+            "3args": [],
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
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+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/mapphomo.gd",
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
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+                        "line": 607
+                    },
+                    "rank": 2
+                },
+                {
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+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
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+            "5args": [],
+            "6args": []
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+    },
+    {
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(TransformsMultiplicationIntoAddition)"
+                        ]
+                    ],
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+            "3args": [],
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "filters": [
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+                        "line": 729
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+                    "filters": [
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+            "5args": [],
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+                    "filters": [
+                        [
+                            "IsEquivalenceRelation",
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+            "4args": [],
+            "5args": [],
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+                        [
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+                        [
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+                        [
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+                            "IsFinite",
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+                            "IsAttributeStoringRep",
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+                            "Tester(GeneratorsOfMagmaWithOne)",
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+                            "IsMagmaWithInverses",
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+                            "IsAttributeStoringRep",
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+                        [
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+                            "CategoryCollections(IsFiniteOrderElement)",
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+                            "IsMagmaWithInverses",
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+                {
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+                    },
+                    "rank": 14
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "GeneratorsOfMagmaWithOne",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetGeneratorsOfMagmaWithOne",
+            "SetGeneratorsOfMonoid"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithOne"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 423
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(GeneratorsOfMagmaWithOne): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 423
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(GeneratorsOfMagmaWithOne): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 423
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(GeneratorsOfMagmaWithOne)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasGeneratorsOfMagmaWithOne",
+            "HasGeneratorsOfMonoid"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithOne"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 423
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(GeneratorsOfMagmaWithOne)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 443
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "GeneratorsOfMagmaWithInverses: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(GeneratorsOfMagmaWithInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 443
+                    },
+                    "rank": 20019
+                },
+                {
+                    "comment": "GeneratorsOfMagmaWithInverses",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 59
+                    },
+                    "rank": 369
+                },
+                {
+                    "comment": "GeneratorsOfMagmaWithInverses: for whole family f.p. group",
+                    "filters": [
+                        [
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 649
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "GeneratorsOfMagmaWithInverses: subgroup fp, via augmented coset table",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 4304
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "GeneratorsOfMagmaWithInverses: Schreier generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(ElementTestFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4304
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "GeneratorsOfMagmaWithInverses: for a magma-with-inverses with known magma-with-one gen.s (take them)",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagmaWithOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 848
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "GeneratorsOfMagmaWithInverses: for a magma-with-inverses with known magma generators (take them)",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagma)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 842
+                    },
+                    "rank": 17
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "GeneratorsOfMagmaWithInverses",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetGeneratorsOfGroup",
+            "SetGeneratorsOfMagmaWithInverses"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 443
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(GeneratorsOfMagmaWithInverses): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 443
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(GeneratorsOfMagmaWithInverses): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 443
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(GeneratorsOfMagmaWithInverses)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasGeneratorsOfGroup",
+            "HasGeneratorsOfMagmaWithInverses"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 443
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(GeneratorsOfMagmaWithInverses)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 460
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsGeneratorsOfMagmaWithInverses: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsGeneratorsOfMagmaWithInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 460
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "IsGeneratorsOfMagmaWithInverses: for a collection of cyclotomics (return false)",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.gi",
+                        "line": 1746
+                    },
+                    "rank": 10022
+                },
+                {
+                    "comment": "IsGeneratorsOfMagmaWithInverses: for a collection of FFEs",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 1125
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "IsGeneratorsOfMagmaWithInverses: for a list of matrices",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpmat.gi",
+                        "line": 805
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "IsGeneratorsOfMagmaWithInverses: for a collection of free magma ring elements",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsElementOfMagmaRingModuloRelations)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1679
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "IsGeneratorsOfMagmaWithInverses: for list of direct product elements",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsDirectProductElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tuples.gi",
+                        "line": 343
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "IsGeneratorsOfMagmaWithInverses: for a partial perm collection",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPartialPerm)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pperm.gi",
+                        "line": 15
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "IsGeneratorsOfMagmaWithInverses: for a transformation collection",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsTransformation)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/trans.gi",
+                        "line": 102
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "IsGeneratorsOfMagmaWithInverses: for a collection of general mappings",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsGeneralMapping)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mapping.gi",
+                        "line": 1543
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "IsGeneratorsOfMagmaWithInverses: cosets",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 497
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "IsGeneratorsOfMagmaWithInverses: for a collection of magma by mult table elements",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grptbl.gi",
+                        "line": 114
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "IsGeneratorsOfMagmaWithInverses: for an empty list",
+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4178
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "IsGeneratorsOfMagmaWithInverses: for a list or collection",
+                    "filters": [
+                        [
+                            "IsListOrCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4202
+                    },
+                    "rank": 1
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsGeneratorsOfMagmaWithInverses",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsGeneratorsOfMagmaWithInverses"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 460
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsGeneratorsOfMagmaWithInverses): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 460
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsGeneratorsOfMagmaWithInverses): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 460
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsGeneratorsOfMagmaWithInverses)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 460
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsGeneratorsOfMagmaWithInverses)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithOne"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 478
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "TrivialSubmagmaWithOne: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(TrivialSubmagmaWithOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 478
+                    },
+                    "rank": 20016
+                },
+                {
+                    "comment": "TrivialSubmagmaWithOne: for magma-with-one",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 699
+                    },
+                    "rank": 13
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "TrivialSubmagmaWithOne",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetTrivialSubgroup",
+            "SetTrivialSubmagmaWithOne",
+            "SetTrivialSubmonoid"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithOne"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 478
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(TrivialSubmagmaWithOne): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 478
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(TrivialSubmagmaWithOne): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 478
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(TrivialSubmagmaWithOne)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasTrivialSubgroup",
+            "HasTrivialSubmagmaWithOne",
+            "HasTrivialSubmonoid"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithOne"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 478
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(TrivialSubmagmaWithOne)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 505
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsAssociative: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 505
+                    },
+                    "rank": 20014
+                },
+                {
+                    "comment": "IsAssociative: for a free magma ring",
+                    "filters": [
+                        [
+                            "IsFreeMagmaRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1079
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "IsAssociative: generic method for a (finite dimensional) FLMLOR",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 917
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "IsAssociative: for a magma of nonassoc. words",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "CategoryCollections(IsNonassocWord)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmfree.gi",
+                        "line": 215
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "IsAssociative: for a magma",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 160
+                    },
+                    "rank": 11
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsAssociative",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsAssociative"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 505
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsAssociative): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 505
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsAssociative): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 505
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsAssociative)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 505
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsAssociative)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ]
+            ],
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 542
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsCommutative: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 542
+                    },
+                    "rank": 20014
+                },
+                {
+                    "comment": "IsCommutative: finite fp grp",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "Tester(Size)",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 2117
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "IsCommutative: for a free group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(IsFinitelyGeneratedGroup)",
+                            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfree.gi",
+                        "line": 356
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "IsCommutative: for an associative FLMLOR-with-one",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 999
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "IsCommutative: for finitely presented groups",
+                    "filters": [
+                        [
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 2106
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "IsCommutative: for an associative FLMLOR",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 994
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "IsCommutative: for direct products",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(DirectProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 225
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "IsCommutative: for a free magma ring",
+                    "filters": [
+                        [
+                            "IsFreeMagmaRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1090
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "IsCommutative: for an associative ring-with-one",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 233
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "IsCommutative: generic method for groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4162
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "IsCommutative",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagmaWithInverses)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 196
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "IsCommutative: generic method for a finite dimensional FLMLOR",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 978
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "IsCommutative: for an associative magma with inverses",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 220
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "IsCommutative: for an associative ring",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 227
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "IsCommutative",
+                    "filters": [
+                        [
+                            "Tester(Characteristic)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsAnticommutative",
+                            "Tester(IsAnticommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 221
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "IsCommutative: for an ordinary character table",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 1181
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "IsCommutative: for associative magma-with-one",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/monoid.gi",
+                        "line": 250
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "IsCommutative",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "Tester(GeneratorsOfMagmaWithOne)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 185
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "IsCommutative: for an associative magma with one",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 214
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "IsCommutative",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 175
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "IsCommutative: for an associative magma",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 208
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "IsCommutative: for a magma",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 202
+                    },
+                    "rank": 11
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsCommutative",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsAbelian",
+            "SetIsCommutative"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 542
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsCommutative): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 542
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsCommutative): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 542
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsCommutative)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 542
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsCommutative)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 581
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "MultiplicativeNeutralElement: for a magma-with-one",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "Tester(MultiplicativeNeutralElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 929
+                    },
+                    "rank": 20015
+                },
+                {
+                    "comment": "MultiplicativeNeutralElement: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(MultiplicativeNeutralElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 581
+                    },
+                    "rank": 20014
+                },
+                {
+                    "comment": "MultiplicativeNeutralElement",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsFiniteDimensional",
+                            "Tester(IsFiniteDimensional)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 836
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "MultiplicativeNeutralElement: for a magma",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 910
+                    },
+                    "rank": 11
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "MultiplicativeNeutralElement",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetMultiplicativeNeutralElement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 581
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(MultiplicativeNeutralElement): for a magma-with-one",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ],
+                        [
+                            "IsBool"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 939
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "Setter(MultiplicativeNeutralElement): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 581
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(MultiplicativeNeutralElement): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 581
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(MultiplicativeNeutralElement)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasMultiplicativeNeutralElement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 581
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(MultiplicativeNeutralElement)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 617
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Centre: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Centre)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 617
+                    },
+                    "rank": 20014
+                },
+                {
+                    "comment": "Centre: for an associative and commutative magma",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 316
+                    },
+                    "rank": 10017
+                },
+                {
+                    "comment": "Centre: for a permutation group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpprmcs.gi",
+                        "line": 1924
+                    },
+                    "rank": 58
+                },
+                {
+                    "aka": [
+                        "CentrePcGroup"
+                    ],
+                    "comment": "Centre: pcgs computable groups using special pcgs",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcatr.gi",
+                        "line": 911
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "Centre: for a group ring",
+                    "filters": [
+                        [
+                            "IsGroupRing",
+                            "Tester(IsGroupRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1045
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "Centre: for a finite dimensional FLMLOR",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2551
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "Centre: for an associative magma",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 310
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "Centre: generic method for a magma",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 298
+                    },
+                    "rank": 11
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Centre",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetCenter",
+            "SetCentre"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 617
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(Centre): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 617
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(Centre): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 617
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(Centre)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasCenter",
+            "HasCentre"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 617
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(Centre)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 636
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Idempotents: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Idempotents)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 636
+                    },
+                    "rank": 20014
+                },
+                {
+                    "comment": "Idempotents: for finite magmas",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 335
+                    },
+                    "rank": 11
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Idempotents",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIdempotents"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 636
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(Idempotents): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 636
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(Idempotents): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 636
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(Idempotents)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasIdempotents"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 636
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(Idempotents)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsCentral"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 655
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsCentral: for two associative FLMLORs-with-one",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 3273
+                    },
+                    "rank": 86
+                },
+                {
+                    "comment": "IsCentral: for two associative FLMLORs",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 3265
+                    },
+                    "rank": 76
+                },
+                {
+                    "comment": "IsCentral: for two associative rings-with-one",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 203
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "IsCentral: generic method for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 3148
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "IsCentral: for two FLMLORs",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 3258
+                    },
+                    "rank": 68
+                },
+                {
+                    "comment": "IsCentral: for two associative rings",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 195
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "IsCentral: for two magmas-with-inverses",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ],
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 1135
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "IsCentral: for two magmas-with-one",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne"
+                        ],
+                        [
+                            "IsMagmaWithOne"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 1123
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "IsCentral: for two magmas",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ],
+                        [
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 1111
+                    },
+                    "rank": 22
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsCentral",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CentraliserOp",
+            "CentralizerOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 705
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "CentralizerOp",
+                    "filters": [
+                        [
+                            "IsRationalClassGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 634
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "CentralizerOp",
+                    "filters": [
+                        [
+                            "IsRationalClassGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 634
+                    },
+                    "rank": 11
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "CentralizerOp: for two magmas, the first being commutative",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsCommutative",
+                            "Tester(IsCommutative)"
+                        ],
+                        [
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 268
+                    },
+                    "rank": 10024
+                },
+                {
+                    "comment": "CentralizerOp: for a commutative magma, and a mult. element",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsCommutative",
+                            "Tester(IsCommutative)"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 247
+                    },
+                    "rank": 10016
+                },
+                {
+                    "comment": "CentralizerOp: TF method:subgroup",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(FittingFreeLiftSetup)"
+                        ],
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagmaWithInverses)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clashom.gi",
+                        "line": 2892
+                    },
+                    "rank": 866
+                },
+                {
+                    "comment": "CentralizerOp: handled by nice monomorphism: Subgroup CollColl",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 249
+                    },
+                    "rank": 740
+                },
+                {
+                    "comment": "CentralizerOp: TF method:elm",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(FittingFreeLiftSetup)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clashom.gi",
+                        "line": 2874
+                    },
+                    "rank": 438
+                },
+                {
+                    "comment": "CentralizerOp: handled by nice monomorphism: subgroup CollElm",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 257
+                    },
+                    "rank": 370
+                },
+                {
+                    "comment": "CentralizerOp: for full (associative) matrix FLMLOR, and FLMLOR",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsFullMatrixModule",
+                            "Tester(IsFullMatrixModule)",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 1176
+                    },
+                    "rank": 123
+                },
+                {
+                    "comment": "CentralizerOp: perm group, perm group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbcbckt.gi",
+                        "line": 2931
+                    },
+                    "rank": 116
+                },
+                {
+                    "comment": "CentralizerOp",
+                    "filters": [
+                        [
+                            "IsNaturalGL",
+                            "Tester(IsNaturalGL)",
+                            "IsIntegerMatrixGroup",
+                            "Tester(IsIntegerMatrixGroup)"
+                        ],
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpramat.gi",
+                        "line": 147
+                    },
+                    "rank": 104
+                },
+                {
+                    "comment": "CentralizerOp: for full (associative) matrix FLMLOR, and left module",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsFullMatrixModule",
+                            "Tester(IsFullMatrixModule)",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 1191
+                    },
+                    "rank": 101
+                },
+                {
+                    "comment": "CentralizerOp: for associative Gaussian matrix FLMLOR-with-one, and FLMLOR",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 1094
+                    },
+                    "rank": 100
+                },
+                {
+                    "comment": "CentralizerOp: for associative Gaussian matrix FLMLOR, and FLMLOR",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 1056
+                    },
+                    "rank": 95
+                },
+                {
+                    "comment": "CentralizerOp: pcgs computable groups",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 1468
+                    },
+                    "rank": 90
+                },
+                {
+                    "comment": "CentralizerOp: for associative Gaussian matrix FLMLOR-with-one, and ordinary matrix",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "IsOrdinaryMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 1075
+                    },
+                    "rank": 88
+                },
+                {
+                    "comment": "CentralizerOp: for full (associative) matrix FLMLOR, and empty list",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsFullMatrixModule",
+                            "Tester(IsFullMatrixModule)"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 1216
+                    },
+                    "rank": 84
+                },
+                {
+                    "comment": "CentralizerOp: for full (associative) matrix FLMLOR, and list of matrices",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsFullMatrixModule",
+                            "Tester(IsFullMatrixModule)",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 1205
+                    },
+                    "rank": 84
+                },
+                {
+                    "comment": "CentralizerOp: for associative Gaussian matrix FLMLOR, and ordinary matrix",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "IsOrdinaryMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 1038
+                    },
+                    "rank": 83
+                },
+                {
+                    "comment": "CentralizerOp: for a fin. dim. assoc. algebra and an algebra with parent",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "Tester(ParentAttr)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2391
+                    },
+                    "rank": 77
+                },
+                {
+                    "comment": "CentralizerOp: for a fin. dim. assoc. algebra and an algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2427
+                    },
+                    "rank": 76
+                },
+                {
+                    "comment": "CentralizerOp: element in natural symmetric group",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1130
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "CentralizerOp: element in natural alternating group",
+                    "filters": [
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1045
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "CentralizerOp: generic method for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 3271
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "CentralizerOp: perm group,elm",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbcbckt.gi",
+                        "line": 2923
+                    },
+                    "rank": 66
+                },
+                {
+                    "comment": "CentralizerOp: for a finite dimensional algebra and a vector space with parent",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "Tester(ParentAttr)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2372
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "CentralizerOp: for a finite dimensional algebra and a vector space",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2409
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "CentralizerOp: pcgs computable group and element",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 1448
+                    },
+                    "rank": 50
+                },
+                {
+                    "comment": "CentralizerOp: for an algebra and an element",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2440
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "CentralizerOp: generic method for group and object",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 3256
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "CentralizerOp: for two magmas",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ],
+                        [
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 255
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "CentralizerOp: for a magma, and a mult. element",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ],
+                        [
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 234
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "CentralizerOp:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpramat.gi",
+                        "line": 467
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "CentralizerOp: dummy to ignore optional third argument",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ],
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gi",
+                        "line": 276
+                    },
+                    "rank": 11
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CentralizerOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 705
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "CentralizerInParent: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(CentralizerInParent)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 705
+                    },
+                    "rank": 20003
+                },
+                {
+                    "comment": "CentralizerInParent: method that calls the two-argument operation CentralizerOp",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 705
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CentralizerInParent",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetCentralizerInParent"
+        ],
+        "filters": [
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 705
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(CentralizerInParent): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 705
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(CentralizerInParent): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 705
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(CentralizerInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasCentralizerInParent"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 705
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(CentralizerInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "Centraliser",
+            "Centralizer"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 705
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Centralizer",
+                    "filters": [
+                        [
+                            "IsConjugacyClassGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 218
+                    },
+                    "rank": 11
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "Centralizer: try to exploit the in-parent attribute CentralizerInParent",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 705
+                    },
+                    "rank": 11
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "Centralizer: with given subgroup",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbcbckt.gi",
+                        "line": 2940
+                    },
+                    "rank": 124
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Centralizer",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SquareRoots"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ],
+                [
+                    "IsMultiplicativeElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 723
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "SquareRoots: for prime field and object in Z/pZ",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing",
+                            "IsPrimeField",
+                            "Tester(IsPrimeField)"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 1007
+                    },
+                    "rank": 74
+                },
+                {
+                    "comment": "SquareRoots: for a field of FFEs, and a FFE",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 867
+                    },
+                    "rank": 69
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SquareRoots",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 937
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "MagmaGeneratorsOfFamily: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(MagmaGeneratorsOfFamily)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 937
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "MagmaGeneratorsOfFamily: for a family of assoc. words",
+                    "filters": [
+                        [
+                            "CategoryFamily(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfree.gi",
+                        "line": 389
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "MagmaGeneratorsOfFamily: for a family of free monoid elements",
+                    "filters": [
+                        [
+                            "CategoryFamily(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/monofree.gi",
+                        "line": 163
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "MagmaGeneratorsOfFamily: for a family of free semigroup elements",
+                    "filters": [
+                        [
+                            "CategoryFamily((IsWord and IsAssociativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/smgrpfre.gi",
+                        "line": 368
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "MagmaGeneratorsOfFamily: for a family of free magma elements",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsNonassocWord)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmfree.gi",
+                        "line": 277
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "MagmaGeneratorsOfFamily",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetMagmaGeneratorsOfFamily"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 937
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(MagmaGeneratorsOfFamily): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 937
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(MagmaGeneratorsOfFamily): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/magma.gd",
+                        "line": 937
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(MagmaGeneratorsOfFamily)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasMagmaGeneratorsOfFamily"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/magma.gd",
+                "line": 937
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(MagmaGeneratorsOfFamily)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AsLeftMagmaIdeal"
+        ],
+        "filters": [
+            [
+                [
+                    "IsCollection",
+                    "IsGeneralizedDomain"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mgmideal.gd",
+                "line": 67
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "AsLeftMagmaIdeal: generic method for a domain and a collection",
+                    "filters": [
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gi",
+                        "line": 257
+                    },
+                    "rank": 7
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AsLeftMagmaIdeal",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "LeftMagmaIdealByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mgmideal.gd",
+                "line": 88
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "LeftMagmaIdealByGenerators: for a collection of magma elements",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gi",
+                        "line": 172
+                    },
+                    "rank": 13
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LeftMagmaIdealByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AsRightMagmaIdeal"
+        ],
+        "filters": [
+            [
+                [
+                    "IsCollection",
+                    "IsGeneralizedDomain"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mgmideal.gd",
+                "line": 138
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AsRightMagmaIdeal",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RightMagmaIdealByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mgmideal.gd",
+                "line": 160
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "RightMagmaIdealByGenerators: for a collection of magma elements",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gi",
+                        "line": 197
+                    },
+                    "rank": 13
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RightMagmaIdealByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AsMagmaIdeal"
+        ],
+        "filters": [
+            [
+                [
+                    "IsCollection",
+                    "IsGeneralizedDomain"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mgmideal.gd",
+                "line": 212
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AsMagmaIdeal",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsLeftActedOnBySuperset",
+                    "IsRightActedOnBySuperset",
+                    "IsMagma"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mgmideal.gd",
+                "line": 221
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "GeneratorsOfMagmaIdeal: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(GeneratorsOfMagmaIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gd",
+                        "line": 221
+                    },
+                    "rank": 20018
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "GeneratorsOfMagmaIdeal",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetGeneratorsOfMagmaIdeal"
+        ],
+        "filters": [
+            [
+                [
+                    "IsLeftActedOnBySuperset",
+                    "IsRightActedOnBySuperset",
+                    "IsMagma"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mgmideal.gd",
+                "line": 221
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(GeneratorsOfMagmaIdeal): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gd",
+                        "line": 221
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(GeneratorsOfMagmaIdeal): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmideal.gd",
+                        "line": 221
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(GeneratorsOfMagmaIdeal)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasGeneratorsOfMagmaIdeal"
+        ],
+        "filters": [
+            [
+                [
+                    "IsLeftActedOnBySuperset",
+                    "IsRightActedOnBySuperset",
+                    "IsMagma"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mgmideal.gd",
+                "line": 221
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(GeneratorsOfMagmaIdeal)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "MagmaIdealByGenerators",
+            "SemigroupIdealByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/mgmideal.gd",
+                "line": 232
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "MagmaIdealByGenerators: for a collection of magma elements",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
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+            ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(PartialClosureOfCongruence)"
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+                        [
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+                        [
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+                            "Tester(GeneratingPairsOfRightMagmaCongruence)"
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+                [
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+                            "IsMagma"
+                        ],
+                        [
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+                            "IsEmpty",
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+                        [
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+                        [
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+                            "IsEmpty",
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+                        [
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+                            "IsAttributeStoringRep",
+                            "Tester(GeneratingPairsOfMagmaCongruence)"
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+            "6args": []
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+            "5args": [],
+            "6args": []
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+            "6args": []
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+                [
+                    "IsMagmaCongruence"
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+                [
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+                    "filters": [
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+                        [
+                            "IsMagmaCongruence"
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+            "5args": [],
+            "6args": []
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+                [
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+                    "filters": [
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+                        [
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+                    "filters": [
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+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        [
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+                            "IsEmpty",
+                            "Tester(IsEmpty)"
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+                            "IsAssociative",
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+            "5args": [],
+            "6args": []
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+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        [
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+                            "IsEmpty",
+                            "Tester(IsEmpty)"
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+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+            "6args": []
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+                        [
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+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gi",
+                        "line": 50
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "LeftSemigroupCongruenceByGeneratingPairs: for a Semigroup  and a list of pairs of its elements",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gi",
+                        "line": 37
+                    },
+                    "rank": 17
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LeftSemigroupCongruenceByGeneratingPairs",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsLeftMagmaCongruence"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semicong.gd",
+                "line": 88
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsLeftSemigroupCongruence: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsLeftSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gd",
+                        "line": 88
+                    },
+                    "rank": 20025
+                },
+                {
+                    "comment": "IsLeftSemigroupCongruence: test whether a left magma congruence is a semigroup a congruence",
+                    "filters": [
+                        [
+                            "IsLeftMagmaCongruence"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gi",
+                        "line": 114
+                    },
+                    "rank": 22
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsLeftSemigroupCongruence"
+        ],
+        "filters": [
+            [
+                [
+                    "IsLeftMagmaCongruence"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semicong.gd",
+                "line": 88
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsLeftSemigroupCongruence): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gd",
+                        "line": 88
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsLeftSemigroupCongruence): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gd",
+                        "line": 88
+                    },
+                    "rank": 0
+                }
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsLeftMagmaCongruence"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semicong.gd",
+                "line": 88
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsLeftSemigroupCongruence)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsRightMagmaCongruence"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semicong.gd",
+                "line": 102
+            }
+        ],
+        "methods": {
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+            "1args": [
+                {
+                    "comment": "IsRightSemigroupCongruence: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsRightSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gd",
+                        "line": 102
+                    },
+                    "rank": 20025
+                },
+                {
+                    "comment": "IsRightSemigroupCongruence: test whether a right magma congruence is a semigroup a congruence",
+                    "filters": [
+                        [
+                            "IsRightMagmaCongruence"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gi",
+                        "line": 122
+                    },
+                    "rank": 22
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsRightMagmaCongruence"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/semicong.gd",
+                "line": 102
+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
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+                        "line": 102
+                    },
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+                },
+                {
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+                    "filters": [
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gd",
+                        "line": 102
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+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
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+                [
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+            {
+                "file": "/home/makx/ac/gap/lib/semicong.gd",
+                "line": 102
+            }
+        ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
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+            [
+                [
+                    "IsMagmaCongruence"
+                ]
+            ]
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+                "file": "/home/makx/ac/gap/lib/semicong.gd",
+                "line": 118
+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsSemigroupCongruence)"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/semicong.gd",
+                        "line": 118
+                    },
+                    "rank": 20029
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagmaCongruence"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gi",
+                        "line": 130
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+        ],
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+                ],
+                [
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+                ]
+            ]
+        ],
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+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
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+                    ],
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+                        "file": "/home/makx/ac/gap/lib/semicong.gd",
+                        "line": 118
+                    },
+                    "rank": 2
+                },
+                {
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+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gd",
+                        "line": 118
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
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+                ]
+            ]
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+                "file": "/home/makx/ac/gap/lib/semicong.gd",
+                "line": 118
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                [
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+                    "Tester(IsSemigroupCongruence)"
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+                "line": 137
+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsReesCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gd",
+                        "line": 137
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+                {
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+                    "filters": [
+                        [
+                            "IsSemigroupCongruence",
+                            "Tester(IsSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gi",
+                        "line": 207
+                    },
+                    "rank": 32
+                },
+                {
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+                    "filters": [
+                        []
+                    ],
+                    "location": {
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+                        "line": 137
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+                }
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "Tester(IsSemigroupCongruence)"
+                ],
+                [
+                    "IsBool"
+                ]
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+                "file": "/home/makx/ac/gap/lib/semicong.gd",
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semicong.gd",
+                        "line": 137
+                    },
+                    "rank": 2
+                },
+                {
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+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
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+                        "line": 137
+                    },
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                [
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+                    "Tester(IsSemigroupCongruence)"
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+            ]
+        ],
+        "locations": [
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+            }
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
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+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMultiplicativeElement"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 33
+            }
+        ],
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+            "1args": [],
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
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+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 244
+                    },
+                    "rank": 18
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                [
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+                ]
+            ]
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+                "line": 121
+            }
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+                    "filters": [
+                        [
+                            "IsCollection"
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+        "filters": [
+            [
+                [
+                    "IsCollection"
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+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 141
+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(AsSemigroup)"
+                        ]
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+                        "line": 141
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    ],
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+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 519
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+                },
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+                        [
+                            "IsCollection"
+                        ]
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+                        "line": 545
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                ],
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+                "line": 141
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+                    "filters": [
+                        [
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 141
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+                    "rank": 2
+                },
+                {
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+                    "filters": [
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                "line": 141
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+            "5args": [],
+            "6args": []
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+                [
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+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ],
+                        [
+                            "IsCollection"
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+            "5args": [],
+            "6args": []
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+                },
+                {
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+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 25
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "IsGeneratorsOfSemigroup: for an empty list",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 15
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "IsGeneratorsOfSemigroup: for a list",
+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 15
+                    },
+                    "rank": 2
+                }
+            ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsGeneratorsOfSemigroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+                [
+                    "IsListOrCollection"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
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+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 212
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsGeneratorsOfSemigroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 212
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+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+    },
+    {
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+            [
+                [
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+                ]
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+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 212
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsGeneratorsOfSemigroup)",
+        "type": "GAP_Operation"
+    },
+    {
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+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 232
+            }
+        ],
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+            "1args": [
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+                    "comment": "CayleyGraphSemigroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(CayleyGraphSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 232
+                    },
+                    "rank": 20018
+                },
+                {
+                    "comment": "CayleyGraphSemigroup: for generic finite semigroups",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 359
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "CayleyGraphSemigroup: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 232
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CayleyGraphSemigroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetCayleyGraphSemigroup",
+            "SetRightCayleyGraphSemigroup"
+        ],
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+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
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+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 232
+            }
+        ],
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+            "1args": [],
+            "2args": [
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 232
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(CayleyGraphSemigroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 232
+                    },
+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(CayleyGraphSemigroup)",
+        "type": "GAP_Operation"
+    },
+    {
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+            "HasRightCayleyGraphSemigroup"
+        ],
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+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
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+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 232
+            }
+        ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 233
+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(CayleyGraphDualSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 233
+                    },
+                    "rank": 20018
+                },
+                {
+                    "comment": "CayleyGraphDualSemigroup: for generic finite semigroups",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 368
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "CayleyGraphDualSemigroup: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 233
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+            "SetLeftCayleyGraphSemigroup"
+        ],
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+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
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+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 233
+            }
+        ],
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+            "1args": [],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 233
+                    },
+                    "rank": 2
+                },
+                {
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+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 233
+                    },
+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+            "HasLeftCayleyGraphSemigroup"
+        ],
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+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 233
+            }
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
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+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 364
+            }
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsZeroGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 364
+                    },
+                    "rank": 20018
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 364
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+            [
+                [
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 364
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 364
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsZeroGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 364
+                    },
+                    "rank": 0
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsZeroGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 364
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsZeroGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 381
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
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+                    "comment": "IsSimpleSemigroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsSimpleSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 381
+                    },
+                    "rank": 20018
+                },
+                {
+                    "comment": "IsSimpleSemigroup: for a subsemigroup of a Rees matrix semigroup with an underlying semigroup",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsReesMatrixSemigroupElement)",
+                            "Tester(UnderlyingSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 140
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "IsSimpleSemigroup: for a semigroup with a MultiplicativeNeutralElement",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(MultiplicativeNeutralElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 805
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "IsSimpleSemigroup: for semigroup with generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 752
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "IsSimpleSemigroup: for a semigroup",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 863
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "IsSimpleSemigroup: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 381
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsSimpleSemigroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsSimpleSemigroup"
+        ],
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+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 381
+            }
+        ],
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsSimpleSemigroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 381
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsSimpleSemigroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 381
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsSimpleSemigroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 381
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsSimpleSemigroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 400
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsZeroSimpleSemigroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsZeroSimpleSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 400
+                    },
+                    "rank": 20018
+                },
+                {
+                    "comment": "IsZeroSimpleSemigroup: for a ZeroGroup",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 883
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "IsZeroSimpleSemigroup: for a trivial semigroup",
+                    "filters": [
+                        [
+                            "IsTrivial",
+                            "Tester(IsTrivial)",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 883
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "IsZeroSimpleSemigroup: for a Rees 0-matrix semigroup",
+                    "filters": [
+                        [
+                            "IsReesZeroMatrixSemigroup",
+                            "Tester(IsReesZeroMatrixSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/reesmat.gi",
+                        "line": 163
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "IsZeroSimpleSemigroup: for a semigroup with a MultiplicativeNeutralElement",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(MultiplicativeNeutralElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 974
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "IsZeroSimpleSemigroup: for a semigroup with generators",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 913
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "IsZeroSimpleSemigroup: for a semigroup",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 1079
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "IsZeroSimpleSemigroup: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 400
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsZeroSimpleSemigroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsZeroSimpleSemigroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 400
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsZeroSimpleSemigroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 400
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsZeroSimpleSemigroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 400
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsZeroSimpleSemigroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 400
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsZeroSimpleSemigroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 416
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ANonReesCongruenceOfSemigroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ANonReesCongruenceOfSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 416
+                    },
+                    "rank": 20018
+                },
+                {
+                    "comment": "ANonReesCongruenceOfSemigroup: for a semigroup",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 1128
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "ANonReesCongruenceOfSemigroup:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 1131
+                    },
+                    "rank": 0
+                },
+                {
+                    "comment": "ANonReesCongruenceOfSemigroup: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 416
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ANonReesCongruenceOfSemigroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetANonReesCongruenceOfSemigroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 416
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ANonReesCongruenceOfSemigroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 416
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ANonReesCongruenceOfSemigroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 416
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ANonReesCongruenceOfSemigroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasANonReesCongruenceOfSemigroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 416
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ANonReesCongruenceOfSemigroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 434
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsReesCongruenceSemigroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsReesCongruenceSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 434
+                    },
+                    "rank": 20018
+                },
+                {
+                    "comment": "IsReesCongruenceSemigroup: for a (possibly infinite) semigroup",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 1140
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "IsReesCongruenceSemigroup: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagma"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 434
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsReesCongruenceSemigroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsReesCongruenceSemigroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 434
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsReesCongruenceSemigroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 434
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsReesCongruenceSemigroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 434
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsReesCongruenceSemigroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 434
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsReesCongruenceSemigroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HomomorphismFactorSemigroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsSemigroupCongruence",
+                    "Tester(IsSemigroupCongruence)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 470
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "HomomorphismFactorSemigroup: for an fp monoid and a congruence",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsElementOfFpMonoid)"
+                        ],
+                        [
+                            "IsSemigroupCongruence",
+                            "Tester(IsSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpmon.gi",
+                        "line": 325
+                    },
+                    "rank": 56
+                },
+                {
+                    "comment": "HomomorphismFactorSemigroup: for a free monoid and a congruence",
+                    "filters": [
+                        [
+                            "IsFreeMonoid",
+                            "Tester(IsFreeMonoid)"
+                        ],
+                        [
+                            "IsMagmaCongruence"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpmon.gi",
+                        "line": 293
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "HomomorphismFactorSemigroup: for a free semigroup and a congruence",
+                    "filters": [
+                        [
+                            "IsFreeSemigroup",
+                            "Tester(IsFreeSemigroup)"
+                        ],
+                        [
+                            "IsSemigroupCongruence",
+                            "Tester(IsSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpsemi.gi",
+                        "line": 210
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "HomomorphismFactorSemigroup: for an fp semigroup and a congruence",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsElementOfFpSemigroup)"
+                        ],
+                        [
+                            "IsSemigroupCongruence",
+                            "Tester(IsSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fpsemi.gi",
+                        "line": 242
+                    },
+                    "rank": 51
+                },
+                {
+                    "comment": "HomomorphismFactorSemigroup: for a semigroup and a congruence",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsSemigroupCongruence",
+                            "Tester(IsSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semiquo.gi",
+                        "line": 82
+                    },
+                    "rank": 47
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "HomomorphismFactorSemigroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HomomorphismFactorSemigroupByClosure"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 473
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "HomomorphismFactorSemigroupByClosure: for a semigroup and empty list",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 1174
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "HomomorphismFactorSemigroupByClosure: for a semigroup and generating pairs of a congruence",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 1166
+                    },
+                    "rank": 17
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "HomomorphismFactorSemigroupByClosure",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsSemigroupCongruence",
+                    "Tester(IsSemigroupCongruence)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 476
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "FactorSemigroup: for a semigroup and a congruence",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsSemigroupCongruence",
+                            "Tester(IsSemigroupCongruence)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 1185
+                    },
+                    "rank": 47
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "FactorSemigroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 479
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "FactorSemigroupByClosure: for a semigroup and empty list",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 1203
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "FactorSemigroupByClosure: for a semigroup and generating pairs of a congruence",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 1194
+                    },
+                    "rank": 17
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "FactorSemigroupByClosure",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsRegularSemigroupElement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMultiplicativeElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 500
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsRegularSemigroupElement: for an inverse semigroup",
+                    "filters": [
+                        [
+                            "IsInverseSemigroup",
+                            "Tester(IsInverseSemigroup)"
+                        ],
+                        [
+                            "IsAssociativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/invsgp.gi",
+                        "line": 485
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "IsRegularSemigroupElement: for generic semigroup",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsAssociativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gi",
+                        "line": 1261
+                    },
+                    "rank": 19
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsRegularSemigroupElement",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 517
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsRegularSemigroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsRegularSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 517
+                    },
+                    "rank": 20018
+                },
+                {
+                    "comment": "IsRegularSemigroup: for a Rees 0-matrix semigroup",
+                    "filters": [
+                        [
+                            "IsReesZeroMatrixSemigroup",
+                            "Tester(IsReesZeroMatrixSemigroup)"
+                        ]
+                    ],
+                    "location": {
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+                },
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+                    "filters": [
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+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
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+                },
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+                    "filters": [
+                        [
+                            "IsMagma"
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+                    ],
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+                    "rank": 0
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                [
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+                        ],
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+                    "rank": 2
+                },
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+                    "filters": [
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+                        []
+                    ],
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+                        "line": 517
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+                    "rank": 0
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+            "5args": [],
+            "6args": []
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 533
+            }
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+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsInverseSemigroup)"
+                        ]
+                    ],
+                    "location": {
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+                    "rank": 20018
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
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+                },
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+                    "filters": [
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+                    ],
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+                    "filters": [
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+                            "IsMagma"
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+                    ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+                    "Tester(IsAssociative)"
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+                    "IsBool"
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+                        [
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+                },
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+                    "filters": [
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+                        "line": 533
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+            "5args": [],
+            "6args": []
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+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 533
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+            "3args": [],
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+            "5args": [],
+            "6args": []
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+                        [
+                            "CategoryCollections(IsTransformation)",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NilpotencyDegree)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 561
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+                    "filters": [
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+                    "filters": [
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+                        "line": 561
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
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+            "6args": []
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+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                    "filters": [
+                        [
+                            "IsInverseSemigroup",
+                            "Tester(IsInverseSemigroup)"
+                        ],
+                        [
+                            "IsInverseSemigroup",
+                            "Tester(IsInverseSemigroup)",
+                            "Tester(GeneratorsOfInverseSemigroup)"
+                        ]
+                    ],
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+                        "line": 349
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
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+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
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+                        "line": 285
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    ],
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+                        "line": 290
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsBand)"
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+                    ],
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+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 565
+                    },
+                    "rank": 20018
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagma"
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+                    ],
+                    "location": {
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+            [
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                [
+                    "IsBool"
+                ]
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+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 565
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                        "line": 565
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsBand): default method, does nothing",
+                    "filters": [
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+                        "line": 565
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 565
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+            "2args": [],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+        "filters": [
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+                [
+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/semigrp.gd",
+                "line": 566
+            }
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsBrandtSemigroup)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 566
+                    },
+                    "rank": 20018
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagma"
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+                    "Tester(IsAssociative)"
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+                        "line": 566
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+                "line": 566
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                "line": 567
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+                        [
+                            "IsAttributeStoringRep",
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+                        "line": 567
+                    },
+                    "rank": 20018
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagma"
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+                        "line": 567
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                {
+                    "comment": "IsFinitelyGeneratedGroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsFinitelyGeneratedGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 217
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "IsFinitelyGeneratedGroup: subgroups of fp group",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 637
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "IsFinitelyGeneratedGroup",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagmaWithInverses)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 22
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "IsFinitelyGeneratedGroup: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 217
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsFinitelyGeneratedGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsFinitelyGeneratedGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 217
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsFinitelyGeneratedGroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 217
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsFinitelyGeneratedGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 217
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsFinitelyGeneratedGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 217
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsFinitelyGeneratedGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 241
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsSubsetLocallyFiniteGroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsSubsetLocallyFiniteGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 241
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "IsSubsetLocallyFiniteGroup: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 241
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsSubsetLocallyFiniteGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsSubsetLocallyFiniteGroup"
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+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 241
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsSubsetLocallyFiniteGroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 241
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsSubsetLocallyFiniteGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 241
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsSubsetLocallyFiniteGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 241
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsSubsetLocallyFiniteGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CanComputeIndex"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 378
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "CanComputeIndex: subgroup of full fp groups",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(CosetTableInWholeGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1659
+                    },
+                    "rank": 73
+                },
+                {
+                    "comment": "CanComputeIndex: subgroup of full fp groups",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(IndexInWholeGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1659
+                    },
+                    "rank": 73
+                },
+                {
+                    "comment": "CanComputeIndex: subgroups fp groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(IndexInWholeGroup)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(IndexInWholeGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1659
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "CanComputeIndex: if sizes can be computed",
+                    "filters": [
+                        [
+                            "CanComputeSize",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CanComputeSize",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4990
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "CanComputeIndex: by default impossible unless identical",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4978
+                    },
+                    "rank": 70
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CanComputeIndex",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ],
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 404
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 405
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "KnowsHowToDecompose: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(KnowsHowToDecompose)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 404
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "KnowsHowToDecompose: group: use GeneratorsOfGroup",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4848
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "KnowsHowToDecompose: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 404
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "KnowsHowToDecompose: perm group and generators: always true",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 1888
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "KnowsHowToDecompose: matrix groups",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpmat.gi",
+                        "line": 19
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "KnowsHowToDecompose: pc group and generators: always true",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 1888
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "KnowsHowToDecompose: fp groups: Say yes if finite index",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 2071
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "KnowsHowToDecompose: trivial group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4843
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "KnowsHowToDecompose: generic: just groups of order < 1000",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4837
+                    },
+                    "rank": 37
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "KnowsHowToDecompose",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetKnowsHowToDecompose"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 404
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(KnowsHowToDecompose): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 404
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(KnowsHowToDecompose): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 404
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(KnowsHowToDecompose)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 404
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(KnowsHowToDecompose)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 427
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsPGroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsPGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 427
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "IsPGroup: for nilpotent groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNilpotentGroup",
+                            "Tester(IsNilpotentGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 238
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "IsPGroup: for direct products",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(DirectProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 256
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "IsPGroup: generic method (check order of the group or of generators if nilpotent)",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 225
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "IsPGroup: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 427
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsPGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsPGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 427
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsPGroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 427
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsPGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 427
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsPGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 427
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+            "3args": [],
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+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsPGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsPGroup",
+                    "Tester(IsPGroup)"
+                ]
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+                "line": 462
+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(PrimePGroup)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 462
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsPGroup",
+                            "Tester(IsPGroup)",
+                            "Tester(DirectProductInfo)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 271
+                    },
+                    "rank": 44
+                },
+                {
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+                    "filters": [
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+                            "IsPGroup",
+                            "Tester(IsPGroup)"
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+                    ],
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+                        "line": 260
+                    },
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+                },
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+                    "filters": [
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+                            "IsPGroup",
+                            "Tester(IsPGroup)"
+                        ]
+                    ],
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+                        "line": 277
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
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+                        "line": 281
+                    },
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+                },
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+                    "filters": [
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+                        "line": 462
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+                    "Tester(IsPGroup)"
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+                        "line": 462
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(PrimePGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
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+                        "line": 462
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+                    "rank": 0
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+                    "Tester(IsPGroup)"
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+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 462
+            }
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
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+                [
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+                    "Tester(IsPGroup)"
+                ]
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+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 483
+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(PClassPGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 483
+                    },
+                    "rank": 20039
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsPGroup",
+                            "Tester(IsPGroup)",
+                            "Tester(SpecialPcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gi",
+                        "line": 917
+                    },
+                    "rank": 66
+                },
+                {
+                    "comment": "PClassPGroup: generic method for group",
+                    "filters": [
+                        [
+                            "IsPGroup",
+                            "Tester(IsPGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2707
+                    },
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+                },
+                {
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+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 483
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+            "5args": [],
+            "6args": []
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+                    "filters": [
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+                        "line": 483
+                    },
+                    "rank": 2
+                },
+                {
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+                    "filters": [
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+                        []
+                    ],
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "Tester(IsPGroup)"
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+                "line": 483
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+            "3args": [],
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsPGroup",
+                    "Tester(IsPGroup)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 510
+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RankPGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 510
+                    },
+                    "rank": 20039
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsPGroup",
+                            "Tester(IsPGroup)",
+                            "Tester(SpecialPcgs)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 929
+                    },
+                    "rank": 66
+                },
+                {
+                    "comment": "RankPGroup: generic method for group",
+                    "filters": [
+                        [
+                            "IsPGroup",
+                            "Tester(IsPGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2717
+                    },
+                    "rank": 43
+                },
+                {
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+                    "filters": [
+                        []
+                    ],
+                    "location": {
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+                        "line": 510
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
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+                    "IsPGroup",
+                    "Tester(IsPGroup)"
+                ],
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+        ],
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+                "line": 510
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+                    "filters": [
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+                        ],
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+                    ],
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+                        "line": 510
+                    },
+                    "rank": 2
+                },
+                {
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+                    "filters": [
+                        [],
+                        []
+                    ],
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+                        "line": 510
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+    {
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+                [
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+                    "Tester(IsPGroup)"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 510
+            }
+        ],
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+            "3args": [],
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 529
+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsNilpotentGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 529
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "IsNilpotentGroup: handled by nice monomorphism: Attribute",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 507
+                    },
+                    "rank": 370
+                },
+                {
+                    "comment": "IsNilpotentGroup: for direct products",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(DirectProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 215
+                    },
+                    "rank": 66
+                },
+                {
+                    "comment": "IsNilpotentGroup: if group size can be computed and is a prime power",
+                    "filters": [
+                        [
+                            "CanComputeSize",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 316
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "IsNilpotentGroup: for permgrp",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 1261
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "IsNilpotentGroup: method for pc groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcprp.gi",
+                        "line": 23
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "IsNilpotentGroup: generic method for groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 330
+                    },
+                    "rank": 35
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
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+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 529
+            }
+        ],
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+                    "filters": [
+                        [
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+                        ],
+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 529
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsNilpotentGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 529
+                    },
+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 529
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsNilpotentGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 557
+            }
+        ],
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+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsPerfectGroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsPerfectGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 557
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "IsPerfectGroup: handled by nice monomorphism: Attribute",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 523
+                    },
+                    "rank": 370
+                },
+                {
+                    "comment": "IsPerfectGroup: method for finite groups",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 350
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "IsPerfectGroup",
+                    "filters": [
+                        [
+                            "Tester(Size)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsSolvableGroup",
+                            "Tester(IsSolvableGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 340
+                    },
+                    "rank": 39
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 914
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "IsPerfectGroup: generic method for groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    ],
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+                        "line": 355
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "IsPerfectGroup: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
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+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(CompositionSeries)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasCompositionSeries"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 962
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(CompositionSeries)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ],
+            [
+                [
+                    "IsOrdinaryTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1068
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ConjugacyClasses: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ConjugacyClasses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1068
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "ConjugacyClasses: test options",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 408
+                    },
+                    "rank": 20034
+                },
+                {
+                    "comment": "ConjugacyClasses: perm group",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clashom.gi",
+                        "line": 2952
+                    },
+                    "rank": 446
+                },
+                {
+                    "comment": "ConjugacyClasses: TF Method",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(FittingFreeLiftSetup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clashom.gi",
+                        "line": 2963
+                    },
+                    "rank": 433
+                },
+                {
+                    "comment": "ConjugacyClasses: for natural sl",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNaturalSL",
+                            "Tester(IsNaturalSL)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpffmat.gi",
+                        "line": 450
+                    },
+                    "rank": 399
+                },
+                {
+                    "comment": "ConjugacyClasses: for natural gl",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNaturalGL",
+                            "Tester(IsNaturalGL)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpffmat.gi",
+                        "line": 440
+                    },
+                    "rank": 397
+                },
+                {
+                    "comment": "ConjugacyClasses: matrix groups: test naturality",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpffmat.gi",
+                        "line": 466
+                    },
+                    "rank": 393
+                },
+                {
+                    "comment": "ConjugacyClasses: via niceomorphism",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 361
+                    },
+                    "rank": 370
+                },
+                {
+                    "comment": "ConjugacyClasses: symmetric",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1656
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "ConjugacyClasses: alternating",
+                    "filters": [
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 280
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "ConjugacyClasses: try solvable method",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 455
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ConjugacyClasses: for groups: try random search",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 433
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ConjugacyClasses:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpramat.gi",
+                        "line": 479
+                    },
+                    "rank": 0
+                },
+                {
+                    "comment": "ConjugacyClasses: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1068
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ConjugacyClasses",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetConjugacyClasses"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ],
+            [
+                [
+                    "IsOrdinaryTable"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1068
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ConjugacyClasses): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1068
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ConjugacyClasses): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1068
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ConjugacyClasses)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasConjugacyClasses"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1068
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ConjugacyClasses)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1092
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ConjugacyClassesMaximalSubgroups: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ConjugacyClassesMaximalSubgroups)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1092
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "ConjugacyClassesMaximalSubgroups: use MaximalSubgroupClassReps",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grplatt.gi",
+                        "line": 1770
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "ConjugacyClassesMaximalSubgroups: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1092
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ConjugacyClassesMaximalSubgroups",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetConjugacyClassesMaximalSubgroups"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1092
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ConjugacyClassesMaximalSubgroups): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1092
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ConjugacyClassesMaximalSubgroups): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1092
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ConjugacyClassesMaximalSubgroups)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasConjugacyClassesMaximalSubgroups"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1092
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ConjugacyClassesMaximalSubgroups)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1116
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "MaximalSubgroups: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(MaximalSubgroups)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1116
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "MaximalSubgroups: pcgs computable groups using special pcgs",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(FamilyPcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcatr.gi",
+                        "line": 432
+                    },
+                    "rank": 53
+                },
+                {
+                    "comment": "MaximalSubgroups: expand list",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grplatt.gi",
+                        "line": 1780
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "MaximalSubgroups: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1116
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "MaximalSubgroups",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetMaximalSubgroups"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1116
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(MaximalSubgroups): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1116
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(MaximalSubgroups): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1116
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(MaximalSubgroups)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasMaximalSubgroups"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1116
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(MaximalSubgroups)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1139
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "MaximalSubgroupClassReps: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(MaximalSubgroupClassReps)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1139
+                    },
+                    "rank": 20037
+                },
+                {
+                    "aka": [
+                        "DoMaxesTF"
+                    ],
+                    "comment": "MaximalSubgroupClassReps: TF method",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(FittingFreeLiftSetup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/maxsub.gi",
+                        "line": 941
+                    },
+                    "rank": 433
+                },
+                {
+                    "comment": "MaximalSubgroupClassReps: handled by nice monomorphism: subgroups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 675
+                    },
+                    "rank": 370
+                },
+                {
+                    "comment": "MaximalSubgroupClassReps: alternating",
+                    "filters": [
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/prim/primitiv.gi",
+                        "line": 992
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "MaximalSubgroupClassReps: symmetric",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/prim/primitiv.gi",
+                        "line": 986
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "MaximalSubgroupClassReps: perm group",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/maxsub.gi",
+                        "line": 941
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "MaximalSubgroupClassReps: solvable perm group",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ]
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+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
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+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsSolvableGroup",
+                            "Tester(IsSolvableGroup)"
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+                        "file": "/home/makx/ac/gap/lib/grppcatr.gi",
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+                        [
+                            "IsMagmaWithInverses",
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+                        "line": 1139
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+                {
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+            "4args": [],
+            "5args": [],
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+                    "Tester(IsAssociative)"
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+                "file": "/home/makx/ac/gap/lib/grp.gd",
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+                [
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                    "filters": [
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+                            "IsAttributeStoringRep",
+                            "Tester(PerfectResiduum)"
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+                            "IsSolvableGroup",
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
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+                    "filters": [
+                        [
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+                        "line": 1188
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+            "5args": [],
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+                    "Tester(IsAssociative)"
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+                "file": "/home/makx/ac/gap/lib/grp.gd",
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+            "5args": [],
+            "6args": []
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+            [
+                [
+                    "IsMagmaWithInverses",
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+                    "Tester(IsAssociative)"
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+                            "IsAttributeStoringRep",
+                            "Tester(RepresentativesPerfectSubgroups)"
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+                            "Tester(IsNaturalSymmetricGroup)"
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+                        "line": 174
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+                            "IsNaturalAlternatingGroup",
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+                        [
+                            "IsSolvableGroup",
+                            "Tester(IsSolvableGroup)"
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+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
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+            "3args": [],
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+            "5args": [],
+            "6args": []
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+                            "IsAttributeStoringRep",
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+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
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+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                {
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+            "5args": [],
+            "6args": []
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+            "5args": [],
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+                [
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+                    "Tester(IsAssociative)"
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+                            "IsAttributeStoringRep",
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+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    "filters": [
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+                            "IsAttributeStoringRep",
+                            "Tester(DerivedSubgroup)"
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+                },
+                {
+                    "comment": "DerivedSubgroup: for a group that knows it is abelian",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)"
+                        ]
+                    ],
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+                {
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsPerfectGroup",
+                            "Tester(IsPerfectGroup)"
+                        ]
+                    ],
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+                },
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
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+                },
+                {
+                    "comment": "DerivedSubgroup",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
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+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ]
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+                            "IsAssociative",
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
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+                            "IsAttributeStoringRep",
+                            "Tester(CommutatorLength)"
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+                },
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+                    "filters": [
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
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+                    ],
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+                    "filters": [
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+                    "filters": [
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+            "6args": []
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+                            "IsAttributeStoringRep",
+                            "Tester(DimensionsLoewyFactors)"
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        "line": 876
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+                },
+                {
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+                    "filters": [
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+            "5args": [],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+                    "Tester(IsAssociative)"
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+            "1args": [],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ElementaryAbelianSeries)"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1515
+                    },
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+                },
+                {
+                    "comment": "ElementaryAbelianSeries: handled by nice monomorphism: GroupSeries",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
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+                    ],
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+                        "line": 409
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
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+                    ],
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+                {
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+                    "filters": [
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+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
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+                            "IsList",
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+                            "IsAttributeStoringRep",
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+                        [
+                            "IsMagmaWithInverses",
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+                        [
+                            "IsMagmaWithInverses",
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+                        [
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+                    "Tester(IsAssociative)"
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+        "type": "GAP_Operation"
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+                    "Tester(IsAssociative)"
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+                            "IsAttributeStoringRep",
+                            "Tester(MaximalNormalSubgroups)"
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
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+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
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+                            "IsMagmaWithInverses",
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+                            "IsAttributeStoringRep",
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+                            "IsAssociative",
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+                            "IsAssociative",
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+                            "IsMagmaWithInverses",
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+    },
+    {
+        "aka": [
+            "HasNormalSubgroups"
+        ],
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1784
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(NormalSubgroups)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ],
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1820
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NrConjugacyClasses: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NrConjugacyClasses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1820
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "NrConjugacyClasses: for natural SL",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNaturalSL",
+                            "Tester(IsNaturalSL)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpffmat.gi",
+                        "line": 674
+                    },
+                    "rank": 399
+                },
+                {
+                    "comment": "NrConjugacyClasses: for natural SU",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsSubgroupSL",
+                            "Tester(IsSubgroupSL)",
+                            "IsFullSubgroupGLorSLRespectingSesquilinearForm",
+                            "Tester(IsFullSubgroupGLorSLRespectingSesquilinearForm)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpffmat.gi",
+                        "line": 717
+                    },
+                    "rank": 397
+                },
+                {
+                    "comment": "NrConjugacyClasses: for natural GL",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNaturalGL",
+                            "Tester(IsNaturalGL)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpffmat.gi",
+                        "line": 655
+                    },
+                    "rank": 397
+                },
+                {
+                    "comment": "NrConjugacyClasses: for GU(n,q)",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsFullSubgroupGLorSLRespectingSesquilinearForm",
+                            "Tester(IsFullSubgroupGLorSLRespectingSesquilinearForm)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpffmat.gi",
+                        "line": 696
+                    },
+                    "rank": 395
+                },
+                {
+                    "comment": "NrConjugacyClasses: handled by nice monomorphism: Attribute",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 714
+                    },
+                    "rank": 370
+                },
+                {
+                    "comment": "NrConjugacyClasses",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(ConjugacyClasses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1164
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "NrConjugacyClasses: for a group with known ordinary character table",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(OrdinaryCharacterTable)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 1526
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "NrConjugacyClasses: generic method for groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1169
+                    },
+                    "rank": 35
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsOrdinaryTable",
+                            "Tester(UnderlyingGroup)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 1497
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsBrauerTable"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 1503
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+                {
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+                            "IsNearlyCharacterTable",
+                            "Tester(SizesConjugacyClasses)"
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+                    ],
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+                    "filters": [
+                        [
+                            "IsNearlyCharacterTable",
+                            "Tester(SizesCentralizers)"
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+                    ],
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+                        "line": 1508
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+                },
+                {
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+                    "filters": [
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+                            "IsMagmaWithInverses"
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+                    ],
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+            [
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+                [
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+                [
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+                    "IsPosRat"
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+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
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+            {
+                "file": "/home/makx/ac/gap/grp/classic.gd",
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+                            "Tester(IsAssociative)"
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+                        [
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+                            "IsPosRat"
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+                            "IsPosRat"
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+                        [
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+                            "IsPosRat"
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+                        [
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+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                    ],
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+                },
+                {
+                    "comment": "Omega",
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+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                    ],
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+                {
+                    "comment": "Omega",
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+                            "IsFunction"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
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+                        [
+                            "IsFunction"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                    ],
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+                [
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+                    "IsPosRat"
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        [
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+                        [
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+                            "IsPosRat"
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
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+            "5args": [],
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+                    "IsPosRat"
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+                    "filters": [
+                        [
+                            "IsPGroup",
+                            "Tester(IsPGroup)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 2556
+                    },
+                    "rank": 81
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AgemoOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1879
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ComputedAgemos: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ComputedAgemos)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1879
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "ComputedAgemos",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1819
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "ComputedAgemos: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1879
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ComputedAgemos",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetComputedAgemos"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1879
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ComputedAgemos): system mutable setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1879
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ComputedAgemos): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1879
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ComputedAgemos)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasComputedAgemos"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1879
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ComputedAgemos)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1902
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "RadicalGroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RadicalGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1902
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "RadicalGroup: TF method, use tree",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(FittingFreeLiftSetup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fitfree.gi",
+                        "line": 294
+                    },
+                    "rank": 433
+                },
+                {
+                    "comment": "RadicalGroup: handled by nice monomorphism: Subgroup",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 770
+                    },
+                    "rank": 370
+                },
+                {
+                    "comment": "RadicalGroup: solvable group is its own radical",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsSolvableGroup",
+                            "Tester(IsSolvableGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1284
+                    },
+                    "rank": 137
+                },
+                {
+                    "comment": "RadicalGroup:  for a permutation group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpprmcs.gi",
+                        "line": 1774
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "RadicalGroup: factor out Fitting subgroup",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1277
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "RadicalGroup:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1279
+                    },
+                    "rank": 0
+                },
+                {
+                    "comment": "RadicalGroup: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1902
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RadicalGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetRadicalGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1902
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(RadicalGroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1902
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(RadicalGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1902
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(RadicalGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasRadicalGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1902
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(RadicalGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1926
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "RationalClasses: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RationalClasses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1926
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "RationalClasses: via niceomorphism",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 806
+                    },
+                    "rank": 370
+                },
+                {
+                    "comment": "RationalClasses: use classes",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 821
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "RationalClasses: trial",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clas.gi",
+                        "line": 702
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "RationalClasses: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1926
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RationalClasses",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetRationalClasses"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1926
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(RationalClasses): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1926
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(RationalClasses): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1926
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(RationalClasses)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasRationalClasses"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1926
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(RationalClasses)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1956
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "GeneratorsSmallest: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(GeneratorsSmallest)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1956
+                    },
+                    "rank": 20014
+                },
+                {
+                    "comment": "GeneratorsSmallest: matrix group via niceo",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpmat.gi",
+                        "line": 585
+                    },
+                    "rank": 390
+                },
+                {
+                    "comment": "GeneratorsSmallest: perm group via minimal stab chain",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 1976
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "GeneratorsSmallest: for a free group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfree.gi",
+                        "line": 415
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "GeneratorsSmallest: group of pc words which is full family",
+                    "filters": [
+                        [
+                            "Tester(FamilyPcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcatr.gi",
+                        "line": 692
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "GeneratorsSmallest: generic method for groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1328
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "GeneratorsSmallest: for a free monoid",
+                    "filters": [
+                        [
+                            "IsFreeMonoid",
+                            "Tester(IsFreeMonoid)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/monofree.gi",
+                        "line": 170
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "GeneratorsSmallest: for a free semigroup",
+                    "filters": [
+                        [
+                            "IsFreeSemigroup",
+                            "Tester(IsFreeSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/smgrpfre.gi",
+                        "line": 375
+                    },
+                    "rank": 20
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "GeneratorsSmallest",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetGeneratorsSmallest"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1956
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(GeneratorsSmallest): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1956
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(GeneratorsSmallest): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1956
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(GeneratorsSmallest)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasGeneratorsSmallest"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1956
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(GeneratorsSmallest)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1974
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "LargestElementGroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(LargestElementGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1974
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "LargestElementGroup: matrix group via niceo",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpmat.gi",
+                        "line": 622
+                    },
+                    "rank": 390
+                },
+                {
+                    "comment": "LargestElementGroup: perm group via minimal stab chain",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 1981
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "LargestElementGroup: use `EnumeratorSorted'",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1339
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "LargestElementGroup: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1974
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LargestElementGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetLargestElementGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1974
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(LargestElementGroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1974
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(LargestElementGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 1974
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(LargestElementGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasLargestElementGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 1974
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(LargestElementGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2010
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "MinimalGeneratingSet: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(MinimalGeneratingSet)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2010
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "MinimalGeneratingSet",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 89
+                    },
+                    "rank": 369
+                },
+                {
+                    "comment": "MinimalGeneratingSet: cyclic groups",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCyclic",
+                            "Tester(IsCyclic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 74
+                    },
+                    "rank": 116
+                },
+                {
+                    "comment": "MinimalGeneratingSet: compute via Smith normal form",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "CanEasilyComputePcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 2446
+                    },
+                    "rank": 93
+                },
+                {
+                    "comment": "MinimalGeneratingSet: pcgs computable groups using special pcgs",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcatr.gi",
+                        "line": 632
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "MinimalGeneratingSet: solvable group via pc",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 91
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "MinimalGeneratingSet: fallback method to inform user",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 108
+                    },
+                    "rank": 0
+                },
+                {
+                    "comment": "MinimalGeneratingSet: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2010
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "MinimalGeneratingSet",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetMinimalGeneratingSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2010
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(MinimalGeneratingSet): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2010
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(MinimalGeneratingSet): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2010
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(MinimalGeneratingSet)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasMinimalGeneratingSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2010
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(MinimalGeneratingSet)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2035
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "SmallGeneratingSet: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(SmallGeneratingSet)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2035
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "SmallGeneratingSet",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 74
+                    },
+                    "rank": 369
+                },
+                {
+                    "comment": "SmallGeneratingSet: using minimal generating set",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcatr.gi",
+                        "line": 645
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "SmallGeneratingSet: random and generators subset, randsims",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 1898
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "SmallGeneratingSet: generators subset",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagmaWithInverses)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4675
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "SmallGeneratingSet: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2035
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SmallGeneratingSet",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetSmallGeneratingSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2035
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(SmallGeneratingSet): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2035
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(SmallGeneratingSet): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2035
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(SmallGeneratingSet)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasSmallGeneratingSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2035
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(SmallGeneratingSet)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2058
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "SupersolvableResiduum: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(SupersolvableResiduum)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2058
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "SupersolvableResiduum: method for finite groups (call `SupersolvableResiduumDefault')",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1585
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "SupersolvableResiduum: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2058
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SupersolvableResiduum",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetSupersolvableResiduum"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2058
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(SupersolvableResiduum): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2058
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(SupersolvableResiduum): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2058
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(SupersolvableResiduum)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasSupersolvableResiduum"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2058
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(SupersolvableResiduum)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2118
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ComplementSystem: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ComplementSystem)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2118
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "ComplementSystem: generic method for finite groups",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1612
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ComplementSystem: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2118
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ComplementSystem",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetComplementSystem"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2118
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ComplementSystem): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2118
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ComplementSystem): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2118
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ComplementSystem)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasComplementSystem"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2118
+            }
+        ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+    },
+    {
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+            [
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+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+        ],
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+                "line": 2146
+            }
+        ],
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+                    "comment": "SylowSystem: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(SylowSystem)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2146
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "SylowSystem: generic method for finite groups",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1643
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "SylowSystem: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2146
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+    },
+    {
+        "aka": [
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+                    "Tester(IsAssociative)"
+                ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2146
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(SylowSystem): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
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+                        "line": 2146
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2146
+            }
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(SylowSystem)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2174
+            }
+        ],
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+                    "comment": "HallSystem: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(HallSystem)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2174
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "HallSystem: test whether finite group is solvable",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1674
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "HallSystem: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2174
+                    },
+                    "rank": 0
+                }
+            ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
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+            }
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
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+                        "line": 2174
+                    },
+                    "rank": 2
+                },
+                {
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+                    "filters": [
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+                        []
+                    ],
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+                        "line": 2174
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
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+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2174
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
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+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Socle)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2216
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsElementaryAbelian",
+                            "Tester(IsElementaryAbelian)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1681
+                    },
+                    "rank": 10047
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNilpotentGroup",
+                            "Tester(IsNilpotentGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1753
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsSimpleGroup",
+                            "Tester(IsSimpleGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1681
+                    },
+                    "rank": 10037
+                },
+                {
+                    "comment": "Socle",
+                    "filters": [
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
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+                    },
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+                },
+                {
+                    "comment": "Socle",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 737
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
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+                        "line": 1591
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsPGroup",
+                            "Tester(IsPGroup)"
+                        ]
+                    ],
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+                        "line": 2563
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
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+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 1755
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
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+                "line": 2216
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
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+                    ],
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+                        "line": 2216
+                    },
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+                },
+                {
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+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
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+                        "line": 2216
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+    },
+    {
+        "aka": [
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2216
+            }
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+            "3args": [],
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2237
+            }
+        ],
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+            "1args": [
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+                    "comment": "UpperCentralSeriesOfGroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(UpperCentralSeriesOfGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2237
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "UpperCentralSeriesOfGroup: handled by nice monomorphism: GroupSeries",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 853
+                    },
+                    "rank": 370
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1792
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "UpperCentralSeriesOfGroup: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2237
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+            ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2237
+            }
+        ],
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+            "1args": [],
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+                    "comment": "Setter(UpperCentralSeriesOfGroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
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+                    ],
+                    "location": {
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+                        "line": 2237
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(UpperCentralSeriesOfGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
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+                        "line": 2237
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(UpperCentralSeriesOfGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasUpperCentralSeriesOfGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2237
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(UpperCentralSeriesOfGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2274
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "EulerianFunction: for a group with table of marks",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(TableOfMarks)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 2706
+                    },
+                    "rank": 65
+                },
+                {
+                    "comment": "EulerianFunction: pcgs computable groups using special pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 1151
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": "EulerianFunction:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 1157
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "EulerianFunction: for a group, compute table of marks",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 2723
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "EulerianFunction",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AsSubgroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2311
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "AsSubgroup: perm groups",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 54
+                    },
+                    "rank": 116
+                },
+                {
+                    "comment": "AsSubgroup: generic method for groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1866
+                    },
+                    "rank": 70
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AsSubgroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ClassMultiplicationCoefficient"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ],
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsCollection"
+                ],
+                [
+                    "IsCollection"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ],
+            [
+                [
+                    "IsOrdinaryTable"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2328
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2330
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2842
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [
+                {
+                    "comment": "ClassMultiplicationCoefficient: for an ord. table, and three pos. integers",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 4033
+                    },
+                    "rank": 89
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ClassMultiplicationCoefficient",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ClosureGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2381
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ClosureGroup: for two groups, the bigger conatining the whole family",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2070
+                    },
+                    "rank": 10072
+                },
+                {
+                    "comment": "ClosureGroup: method for group that contains the whole family",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2041
+                    },
+                    "rank": 10042
+                },
+                {
+                    "comment": "ClosureGroup: handled by nice monomorphism:group CollColl",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 273
+                    },
+                    "rank": 740
+                },
+                {
+                    "comment": "ClosureGroup: by niceo",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 310
+                    },
+                    "rank": 375
+                },
+                {
+                    "comment": "ClosureGroup: permgroup, elements",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsPerm)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 779
+                    },
+                    "rank": 119
+                },
+                {
+                    "comment": "ClosureGroup: for subgroup of fp group, and subgroup",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 2059
+                    },
+                    "rank": 75
+                },
+                {
+                    "comment": "ClosureGroup: empty list",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 767
+                    },
+                    "rank": 75
+                },
+                {
+                    "comment": "ClosureGroup: groups with home pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(HomePcgs)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(HomePcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 825
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "ClosureGroup: generic method for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2061
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "ClosureGroup: permgroup, element",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 773
+                    },
+                    "rank": 66
+                },
+                {
+                    "comment": "ClosureGroup: for group and empty element list",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2089
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "ClosureGroup: subgrp fp: Has coset table",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsSubgroupFpGroup",
+                            "Tester(CosetTableInWholeGroup)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 2048
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "ClosureGroup: subgrp fp: by quotient subgroup",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsSubgroupFpGroup",
+                            "IsSubgroupOfWholeGroupByQuotientRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 2016
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ClosureGroup: groups with home pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(HomePcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 859
+                    },
+                    "rank": 41
+                },
+                {
+                    "aka": [
+                        "ClosureGroupIntest"
+                    ],
+                    "comment": "ClosureGroup: groups with cheap membership test",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyTestMembership"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2027
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "ClosureGroup: generic method for group and element",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2023
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "ClosureGroup: for group and element list",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2083
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "ClosureGroup:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpramat.gi",
+                        "line": 471
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [
+                {
+                    "aka": [
+                        "DoClosurePrmGp"
+                    ],
+                    "comment": "ClosureGroup: permgroup, elements, options",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsPerm)"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 761
+                    },
+                    "rank": 120
+                },
+                {
+                    "comment": "ClosureGroup: permgroup, permgroup, options",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 791
+                    },
+                    "rank": 117
+                },
+                {
+                    "comment": "ClosureGroup: empty list and options",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 797
+                    },
+                    "rank": 76
+                },
+                {
+                    "comment": "ClosureGroup: permgroup, element, options",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 785
+                    },
+                    "rank": 67
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ClosureGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CommutatorSubgroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2463
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "CommutatorSubgroup: handled by nice monomorphism:group CollColl",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 326
+                    },
+                    "rank": 740
+                },
+                {
+                    "comment": "CommutatorSubgroup: permgroups",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 1015
+                    },
+                    "rank": 116
+                },
+                {
+                    "comment": "CommutatorSubgroup: normal subgroup with whole fp group",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 5104
+                    },
+                    "rank": 77
+                },
+                {
+                    "aka": [
+                        "CoSuFp"
+                    ],
+                    "comment": "CommutatorSubgroup: whole fp group with normal subgroup",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 5098
+                    },
+                    "rank": 77
+                },
+                {
+                    "comment": "CommutatorSubgroup: normal subgroup with whole fp group",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 5124
+                    },
+                    "rank": 74
+                },
+                {
+                    "comment": "CommutatorSubgroup: groups with home pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(HomePcgs)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(HomePcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 905
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "CommutatorSubgroup: generic method for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2173
+                    },
+                    "rank": 70
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CommutatorSubgroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2488
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ConjugateGroup: handled by nice monomorphism: group CollElm",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 369
+                    },
+                    "rank": 376
+                },
+                {
+                    "comment": "ConjugateGroup: <P>, <g>",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 943
+                    },
+                    "rank": 66
+                },
+                {
+                    "comment": "ConjugateGroup: subgroups of fp group with coset table",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup",
+                            "Tester(CosetTableInWholeGroup)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1743
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ConjugateGroup: subgroups of fp group by quotient",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup",
+                            "IsSubgroupOfWholeGroupByQuotientRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1756
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "ConjugateGroup: groups with home pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(HomePcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 965
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "ConjugateGroup: <G>, <g>",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2199
+                    },
+                    "rank": 40
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ConjugateGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ConjugateSubgroup"
+        ],
+        "filters": [
+            [
+                [
+                    "Tester(ParentAttr)",
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2515
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ConjugateSubgroup: for group with parent, and group element",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2214
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "ConjugateSubgroup: for group without parent",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2218
+                    },
+                    "rank": 40
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ConjugateSubgroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ConjugateSubgroups"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2533
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ConjugateSubgroups: groups with home pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(HomePcgs)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(HomePcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 1015
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "ConjugateSubgroups: generic",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 4966
+                    },
+                    "rank": 70
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ConjugateSubgroups",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CoreOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2558
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "CoreOp: handled by nice monomorphism:group CollColl",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 377
+                    },
+                    "rank": 740
+                },
+                {
+                    "comment": "CoreOp: subgroups of fp group by quotient",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup",
+                            "IsSubgroupOfWholeGroupByQuotientRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1814
+                    },
+                    "rank": 75
+                },
+                {
+                    "comment": "CoreOp: subgroups of fp group: use quotient rep",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1799
+                    },
+                    "rank": 74
+                },
+                {
+                    "comment": "CoreOp: pcgs computable groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 1057
+                    },
+                    "rank": 71
+                },
+                {
+                    "comment": "CoreOp: generic method for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2261
+                    },
+                    "rank": 70
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CoreOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2558
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "CoreInParent: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(CoreInParent)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2558
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "CoreInParent: method that calls the two-argument operation CoreOp",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2558
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "CoreInParent: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2558
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CoreInParent",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetCoreInParent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2558
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(CoreInParent): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2558
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(CoreInParent): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2558
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(CoreInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasCoreInParent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2558
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(CoreInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "Core"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2558
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Core: try to exploit the in-parent attribute CoreInParent",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2558
+                    },
+                    "rank": 68
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Core",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CosetTable"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2624
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "CosetTable: for finitely presented groups",
+                    "filters": [
+                        [
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 980
+                    },
+                    "rank": 75
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CosetTable",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CosetTableNormalClosure"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2640
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "CosetTableNormalClosure: for finitely presented groups",
+                    "filters": [
+                        [
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1000
+                    },
+                    "rank": 75
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CosetTableNormalClosure",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "FactorGroupNC"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2673
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "FactorGroupNC: generic method for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2294
+                    },
+                    "rank": 70
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "FactorGroupNC",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "NaturalHomomorphism"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2690
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NaturalHomomorphism: for a group with natural homomorphism stored",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2304
+                    },
+                    "rank": 35
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NaturalHomomorphism",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IndexOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ],
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ],
+                [
+                    "IsNearlyCharacterTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2720
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2616
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IndexOp: handled by nice monomorphism: attribute CollColl",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 472
+                    },
+                    "rank": 740
+                },
+                {
+                    "comment": "IndexOp: for finitely presented group in whole group",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1655
+                    },
+                    "rank": 77
+                },
+                {
+                    "comment": "IndexOp: generic method for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2326
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "IndexOp: for two character tables",
+                    "filters": [
+                        [
+                            "IsNearlyCharacterTable"
+                        ],
+                        [
+                            "IsNearlyCharacterTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 3329
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "IndexOp:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpramat.gi",
+                        "line": 451
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IndexOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2720
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IndexInParent: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IndexInParent)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2720
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "IndexInParent: method that calls the two-argument operation IndexOp",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2720
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "IndexInParent: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2720
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IndexInParent",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIndexInParent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2720
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IndexInParent): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2720
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IndexInParent): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2720
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IndexInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasIndexInParent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2720
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IndexInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "Index"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ],
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ],
+                [
+                    "IsNearlyCharacterTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2720
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2614
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Index: try to exploit the in-parent attribute IndexInParent",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2720
+                    },
+                    "rank": 68
+                },
+                {
+                    "comment": "Index: for two character tables",
+                    "filters": [
+                        [
+                            "IsNearlyCharacterTable"
+                        ],
+                        [
+                            "IsNearlyCharacterTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 3322
+                    },
+                    "rank": 40
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Index",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IndexNC"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ],
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ],
+                [
+                    "IsNearlyCharacterTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2722
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2618
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IndexNC: for two groups with known Size value",
+                    "filters": [
+                        [
+                            "Tester(Size)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "Tester(Size)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2358
+                    },
+                    "rank": 751
+                },
+                {
+                    "comment": "IndexNC: handled by nice monomorphism: attribute CollColl",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 475
+                    },
+                    "rank": 740
+                },
+                {
+                    "comment": "IndexNC: for finitely presented groups",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1639
+                    },
+                    "rank": 74
+                },
+                {
+                    "comment": "IndexNC: generic method for two groups (the second one being finite)",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2349
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "IndexNC: for two character tables",
+                    "filters": [
+                        [
+                            "IsNearlyCharacterTable"
+                        ],
+                        [
+                            "IsNearlyCharacterTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 3336
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "IndexNC:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpramat.gi",
+                        "line": 455
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IndexNC",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2741
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IndexInWholeGroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IndexInWholeGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2741
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "IndexInWholeGroup: for full fp group",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1693
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "IndexInWholeGroup: subgroup fp by quotient",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup",
+                            "IsSubgroupOfWholeGroupByQuotientRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1690
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "IndexInWholeGroup: subgroup fp",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1684
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "IndexInWholeGroup: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2741
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IndexInWholeGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIndexInWholeGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2741
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IndexInWholeGroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2741
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IndexInWholeGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2741
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IndexInWholeGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasIndexInWholeGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2741
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IndexInWholeGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2771
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IndependentGeneratorsOfAbelianGroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IndependentGeneratorsOfAbelianGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2771
+                    },
+                    "rank": 20045
+                },
+                {
+                    "comment": "IndependentGeneratorsOfAbelianGroup: for groups of FFE",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsFFE)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 309
+                    },
+                    "rank": 396
+                },
+                {
+                    "comment": "IndependentGeneratorsOfAbelianGroup: for perm group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 193
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "IndependentGeneratorsOfAbelianGroup: Use Pcgs and NormalFormIntMat to find the independent generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "CanEasilyComputePcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 2410
+                    },
+                    "rank": 47
+                },
+                {
+                    "aka": [
+                        "IndependentGeneratorsOfMaximalAbelianQuotientOfFpGroup"
+                    ],
+                    "comment": "IndependentGeneratorsOfAbelianGroup: For abelian fpgroup, use Smith normal form",
+                    "filters": [
+                        [
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 6099
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "IndependentGeneratorsOfAbelianGroup: for direct products",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "Tester(DirectProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 305
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "IndependentGeneratorsOfAbelianGroup: finite abelian group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1187
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "IndependentGeneratorsOfAbelianGroup: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2771
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IndependentGeneratorsOfAbelianGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIndependentGeneratorsOfAbelianGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2771
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IndependentGeneratorsOfAbelianGroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2771
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IndependentGeneratorsOfAbelianGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2771
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IndependentGeneratorsOfAbelianGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasIndependentGeneratorsOfAbelianGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2771
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IndependentGeneratorsOfAbelianGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IndependentGeneratorExponents"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)"
+                ],
+                [
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2804
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IndependentGeneratorExponents: for groups of FFE",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsFFE)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 347
+                    },
+                    "rank": 411
+                },
+                {
+                    "comment": "IndependentGeneratorExponents: for direct products",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "Tester(DirectProductInfo)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse",
+                            "IsDirectProductElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 326
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "IndependentGeneratorExponents",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 1232
+                    },
+                    "rank": 48
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IndependentGeneratorExponents",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsConjugate"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2840
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "IsConjugate: subgroups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2382
+                    },
+                    "rank": 105
+                },
+                {
+                    "comment": "IsConjugate: group elements",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2369
+                    },
+                    "rank": 45
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsConjugate",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsNormalOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2866
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsNormalOp: handled by nice monomorphism: attribute CollColl",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 515
+                    },
+                    "rank": 740
+                },
+                {
+                    "comment": "IsNormalOp: subgroups of fp group by quot. rep in full fp grp.",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup",
+                            "IsSubgroupOfWholeGroupByQuotientRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 617
+                    },
+                    "rank": 78
+                },
+                {
+                    "comment": "IsNormalOp: generic method for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2394
+                    },
+                    "rank": 70
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsNormalOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2866
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsNormalInParent: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsNormalInParent)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2866
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "IsNormalInParent: method that calls the two-argument operation IsNormalOp",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2866
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "IsNormalInParent: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2866
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsNormalInParent",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsNormalInParent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2866
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsNormalInParent): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2866
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsNormalInParent): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2866
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsNormalInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2866
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsNormalInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsNormal"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2866
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsNormal: try to exploit the in-parent attribute IsNormalInParent",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2866
+                    },
+                    "rank": 68
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsNormal",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsCharacteristicSubgroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2887
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsCharacteristicSubgroup: generic method for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2423
+                    },
+                    "rank": 70
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsCharacteristicSubgroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsPNilpotentOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2904
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsPNilpotentOp: for a group with special pcgs: test for normal Hall subgroup",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(SpecialPcgs)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2446
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "IsPNilpotentOp: check if p divides order of hypocentre",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2457
+                    },
+                    "rank": 63
+                },
+                {
+                    "comment": "IsPNilpotentOp:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2459
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsPNilpotentOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2904
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ComputedIsPNilpotents: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ComputedIsPNilpotents)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2904
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "ComputedIsPNilpotents: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2904
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "ComputedIsPNilpotents: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2904
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ComputedIsPNilpotents",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetComputedIsPNilpotents"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2904
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ComputedIsPNilpotents): system mutable setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2904
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ComputedIsPNilpotents): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2904
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ComputedIsPNilpotents)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasComputedIsPNilpotents"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2904
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ComputedIsPNilpotents)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsPNilpotent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2904
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsPNilpotent: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2904
+                    },
+                    "rank": 53
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsPNilpotent",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasIsPNilpotent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2904
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "HasIsPNilpotent: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2904
+                    },
+                    "rank": 53
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "HasIsPNilpotent",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsPNilpotent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2904
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "SetIsPNilpotent: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2904
+                    },
+                    "rank": 53
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SetIsPNilpotent",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsPSolvableOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2923
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsPSolvableOp: for solvable groups: return true",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsSolvableGroup",
+                            "Tester(IsSolvableGroup)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2488
+                    },
+                    "rank": 10067
+                },
+                {
+                    "comment": "IsPSolvableOp: generic method: build descending series with abelian or p'-factors",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2482
+                    },
+                    "rank": 63
+                },
+                {
+                    "comment": "IsPSolvableOp:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2490
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsPSolvableOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2923
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ComputedIsPSolvables: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ComputedIsPSolvables)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2923
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "ComputedIsPSolvables: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2923
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "ComputedIsPSolvables: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2923
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ComputedIsPSolvables",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetComputedIsPSolvables"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2923
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ComputedIsPSolvables): system mutable setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2923
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ComputedIsPSolvables): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2923
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ComputedIsPSolvables)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasComputedIsPSolvables"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2923
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ComputedIsPSolvables)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsPSoluble",
+            "IsPSolvable"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2923
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsPSolvable: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2923
+                    },
+                    "rank": 53
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsPSolvable",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasIsPSolvable"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2923
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "HasIsPSolvable: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2923
+                    },
+                    "rank": 53
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "HasIsPSolvable",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsPSolvable"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2923
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "SetIsPSolvable: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 2923
+                    },
+                    "rank": 53
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SetIsPSolvable",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsSubnormal"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 2983
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsSubnormal: generic method for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2810
+                    },
+                    "rank": 70
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsSubnormal",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "NormalClosureOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3007
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "NormalClosureOp: handled by nice monomorphism:group CollColl",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 690
+                    },
+                    "rank": 740
+                },
+                {
+                    "comment": "NormalClosureOp: subgroup of perm group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 923
+                    },
+                    "rank": 116
+                },
+                {
+                    "comment": "NormalClosureOp: whole fp group with normal subgroup",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 5040
+                    },
+                    "rank": 77
+                },
+                {
+                    "comment": "NormalClosureOp: groups with home pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(HomePcgs)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(HomePcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 1277
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "NormalClosureOp: generic method for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2604
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "NormalClosureOp:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpramat.gi",
+                        "line": 463
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NormalClosureOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3007
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NormalClosureInParent: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NormalClosureInParent)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3007
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "NormalClosureInParent: method that calls the two-argument operation NormalClosureOp",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3007
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "NormalClosureInParent: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3007
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NormalClosureInParent",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetNormalClosureInParent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3007
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(NormalClosureInParent): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3007
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(NormalClosureInParent): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3007
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(NormalClosureInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasNormalClosureInParent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3007
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(NormalClosureInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "NormalClosure"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3007
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "NormalClosure: try to exploit the in-parent attribute NormalClosureInParent",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3007
+                    },
+                    "rank": 68
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NormalClosure",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "NormalIntersection"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3030
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "NormalIntersection: handled by nice monomorphism:group CollColl",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 698
+                    },
+                    "rank": 740
+                },
+                {
+                    "comment": "NormalIntersection: method for two groups with home pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(HomePcgs)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(HomePcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcint.gi",
+                        "line": 344
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "NormalIntersection: generic method for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2613
+                    },
+                    "rank": 70
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NormalIntersection",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "NormaliserOp",
+            "NormalizerOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3064
+            }
+        ],
+        "methods": {
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+            "1args": [
+                {
+                    "comment": "NormalizerOp",
+                    "filters": [
+                        [
+                            "IsConjugacyClassSubgroupsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grplatt.gi",
+                        "line": 182
+                    },
+                    "rank": 11
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "NormalizerOp: handled by nice monomorphism: Subgroup CollColl",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 706
+                    },
+                    "rank": 740
+                },
+                {
+                    "aka": [
+                        "DoNormalizerSA"
+                    ],
+                    "comment": "NormalizerOp: subgp of natural alternating group",
+                    "filters": [
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1333
+                    },
+                    "rank": 120
+                },
+                {
+                    "comment": "NormalizerOp: subgp of natural symmetric group",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1333
+                    },
+                    "rank": 120
+                },
+                {
+                    "aka": [
+                        "NormalizerPermGroup"
+                    ],
+                    "comment": "NormalizerOp: perm group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbcbckt.gi",
+                        "line": 2765
+                    },
+                    "rank": 116
+                },
+                {
+                    "comment": "NormalizerOp",
+                    "filters": [
+                        [
+                            "IsNaturalGL",
+                            "Tester(IsNaturalGL)",
+                            "IsIntegerMatrixGroup",
+                            "Tester(IsIntegerMatrixGroup)"
+                        ],
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpramat.gi",
+                        "line": 137
+                    },
+                    "rank": 104
+                },
+                {
+                    "comment": "NormalizerOp: in whole group by quot. rep",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup",
+                            "IsSubgroupOfWholeGroupByQuotientRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 3297
+                    },
+                    "rank": 78
+                },
+                {
+                    "comment": "NormalizerOp: subgroups of fp group by quot. rep",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup",
+                            "IsSubgroupOfWholeGroupByQuotientRep"
+                        ],
+                        [
+                            "IsSubgroupFpGroup",
+                            "IsSubgroupOfWholeGroupByQuotientRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 3288
+                    },
+                    "rank": 76
+                },
+                {
+                    "comment": "NormalizerOp: subgroups of fp group: find stabilizing cosets",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 3245
+                    },
+                    "rank": 74
+                },
+                {
+                    "comment": "NormalizerOp: for groups with home pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(HomePcgs)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(HomePcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcnrm.gi",
+                        "line": 1055
+                    },
+                    "rank": 73
+                },
+                {
+                    "comment": "NormalizerOp: slightly better orbit algorithm for pc groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(HomePcgs)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(HomePcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcnrm.gi",
+                        "line": 1068
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "NormalizerOp: generic method for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2643
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "NormalizerOp: generic method for group and Element",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2650
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "NormalizerOp:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpramat.gi",
+                        "line": 459
+                    },
+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NormalizerOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3064
+            }
+        ],
+        "methods": {
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+            "1args": [
+                {
+                    "comment": "NormalizerInParent: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NormalizerInParent)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3064
+                    },
+                    "rank": 20003
+                },
+                {
+                    "comment": "NormalizerInParent: method that calls the two-argument operation NormalizerOp",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3064
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NormalizerInParent",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetNormalizerInParent"
+        ],
+        "filters": [
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3064
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(NormalizerInParent): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3064
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(NormalizerInParent): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3064
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(NormalizerInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasNormalizerInParent"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3064
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(NormalizerInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "Normaliser",
+            "Normalizer"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3064
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Normalizer: try to exploit the in-parent attribute NormalizerInParent",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3064
+                    },
+                    "rank": 34
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "Normalizer: perm group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbcbckt.gi",
+                        "line": 2771
+                    },
+                    "rank": 174
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Normalizer",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CentraliserModulo",
+            "CentralizerModulo"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3087
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "CentralizerModulo: group centralizer via generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 1659
+                    },
+                    "rank": 107
+                },
+                {
+                    "comment": "CentralizerModulo: pcgs computable groups, for elm",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 1646
+                    },
+                    "rank": 77
+                },
+                {
+                    "comment": "CentralizerModulo:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 1663
+                    },
+                    "rank": 0
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CentralizerModulo",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PCentralSeriesOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3106
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "PCentralSeriesOp: handled by nice monomorphism: GroupSeries CollOther",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 730
+                    },
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+                },
+                {
+                    "comment": "PCentralSeriesOp: method for pc groups and prime",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 981
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 1404
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
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+                        "line": 2686
+                    },
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+                }
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
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+                    "IsMagmaWithInverses",
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+                    "Tester(IsAssociative)"
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+                    "comment": "ComputedPCentralSeriess: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ComputedPCentralSeriess)"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3106
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "ComputedPCentralSeriess: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3106
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "ComputedPCentralSeriess: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
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+                        "line": 3106
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+                    "rank": 0
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+        "aka": [
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
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+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3106
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3106
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ComputedPCentralSeriess): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
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+                        "line": 3106
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+            "5args": [],
+            "6args": []
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+        "aka": [
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+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+            [
+                [
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+                    "Tester(IsAssociative)"
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+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    ],
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+                        "line": 2693
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
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+                        "line": 3106
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+                    "IsPosRat"
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3106
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+            "5args": [],
+            "6args": []
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+            [
+                [
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
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+            ]
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
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+                    ],
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+                        "line": 3106
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+            "6args": []
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                    "IsPosRat"
+                ]
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
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+                        "line": 2736
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ComputedPRumps)"
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+                    ],
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+                        "line": 3126
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
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+                        "line": 3126
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+                    "filters": [
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+                            "IsMagmaWithInverses"
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
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+                        "line": 3126
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+                },
+                {
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+                    "filters": [
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+                        "line": 3126
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+            "6args": []
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+            [
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+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
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+                "line": 3126
+            }
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
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+                        "line": 3126
+                    },
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
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+                "line": 3126
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
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+                        "line": 3126
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
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+        "aka": [
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+        ],
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                []
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3126
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        []
+                    ],
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+                        "line": 3126
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+            "5args": [],
+            "6args": []
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
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+                    "IsPosRat"
+                ]
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+                "line": 3151
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
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+                        "line": 738
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+                },
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+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
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+                            "IsPosRat"
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+                    "comment": "PCoreOp: generic method for nilpotent group and prime",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNilpotentGroup",
+                            "Tester(IsNilpotentGroup)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
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+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2751
+                    },
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+                },
+                {
+                    "comment": "PCoreOp: generic method for group and prime",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
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+                "line": 3151
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+                    "comment": "ComputedPCores: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ComputedPCores)"
+                        ]
+                    ],
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+                        "line": 3151
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "ComputedPCores: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3151
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "ComputedPCores: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3151
+                    },
+                    "rank": 0
+                }
+            ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ComputedPCores",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetComputedPCores"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
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+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3151
+            }
+        ],
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ComputedPCores): system mutable setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3151
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ComputedPCores): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3151
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ComputedPCores)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasComputedPCores"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3151
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ComputedPCores)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PCore"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3151
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "PCore: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3151
+                    },
+                    "rank": 53
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PCore",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasPCore"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3151
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "HasPCore: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3151
+                    },
+                    "rank": 53
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "HasPCore",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetPCore"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3151
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "SetPCore: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3151
+                    },
+                    "rank": 53
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SetPCore",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SubnormalSeriesOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3175
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "SubnormalSeriesOp: handled by nice monomorphism: GroupSeries CollColl",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 837
+                    },
+                    "rank": 740
+                },
+                {
+                    "comment": "SubnormalSeriesOp: generic method for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2798
+                    },
+                    "rank": 70
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SubnormalSeriesOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3175
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "SubnormalSeriesInParent: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(SubnormalSeriesInParent)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3175
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "SubnormalSeriesInParent: method that calls the two-argument operation SubnormalSeriesOp",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3175
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "SubnormalSeriesInParent: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3175
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SubnormalSeriesInParent",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetSubnormalSeriesInParent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3175
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(SubnormalSeriesInParent): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3175
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(SubnormalSeriesInParent): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3175
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(SubnormalSeriesInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasSubnormalSeriesInParent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3175
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(SubnormalSeriesInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SubnormalSeries"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3175
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "SubnormalSeries: try to exploit the in-parent attribute SubnormalSeriesInParent",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3175
+                    },
+                    "rank": 68
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SubnormalSeries",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SylowSubgroupOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3201
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "SylowSubgroupOp: Direct construction for natural GL",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNaturalGL",
+                            "Tester(IsNaturalGL)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicmat.gi",
+                        "line": 553
+                    },
+                    "rank": 416
+                },
+                {
+                    "comment": "SylowSubgroupOp: handled by nice monomorphism: subgroup CollOther",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 845
+                    },
+                    "rank": 389
+                },
+                {
+                    "comment": "SylowSubgroupOp: pcgs computable groups using special pcgs",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcatr.gi",
+                        "line": 323
+                    },
+                    "rank": 171
+                },
+                {
+                    "comment": "SylowSubgroupOp: symmetric",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1613
+                    },
+                    "rank": 81
+                },
+                {
+                    "comment": "SylowSubgroupOp: alternating",
+                    "filters": [
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 222
+                    },
+                    "rank": 81
+                },
+                {
+                    "comment": "SylowSubgroupOp: permutation groups",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 1428
+                    },
+                    "rank": 77
+                },
+                {
+                    "comment": "SylowSubgroupOp: method for a nilpotent group, and a prime",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNilpotentGroup",
+                            "Tester(IsNilpotentGroup)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2885
+                    },
+                    "rank": 73
+                },
+                {
+                    "comment": "SylowSubgroupOp: generic method for group and prime",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2853
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "SylowSubgroupOp:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpramat.gi",
+                        "line": 475
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SylowSubgroupOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3201
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ComputedSylowSubgroups: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ComputedSylowSubgroups)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3201
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "ComputedSylowSubgroups: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3201
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "ComputedSylowSubgroups: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3201
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ComputedSylowSubgroups",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetComputedSylowSubgroups"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3201
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ComputedSylowSubgroups): system mutable setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3201
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ComputedSylowSubgroups): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3201
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ComputedSylowSubgroups)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasComputedSylowSubgroups"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3201
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ComputedSylowSubgroups)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SylowSubgroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3201
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "SylowSubgroup: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3201
+                    },
+                    "rank": 53
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SylowSubgroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasSylowSubgroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3201
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "HasSylowSubgroup: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3201
+                    },
+                    "rank": 53
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "HasSylowSubgroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetSylowSubgroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3201
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "SetSylowSubgroup: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3201
+                    },
+                    "rank": 53
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SetSylowSubgroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SylowComplementOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3228
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "SylowComplementOp: test trivial case",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "Tester(Size)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 3091
+                    },
+                    "rank": 10065
+                },
+                {
+                    "comment": "SylowComplementOp: pcgs computable groups using special pcgs",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcatr.gi",
+                        "line": 286
+                    },
+                    "rank": 151
+                },
+                {
+                    "comment": "SylowComplementOp: via IsomoprhismPcGroup",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsSolvableGroup",
+                            "Tester(IsSolvableGroup)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 2818
+                    },
+                    "rank": 67
+                },
+                {
+                    "comment": "SylowComplementOp:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 2827
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "SylowComplementOp:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcatr.gi",
+                        "line": 290
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SylowComplementOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3228
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ComputedSylowComplements: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ComputedSylowComplements)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3228
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "ComputedSylowComplements: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3228
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "ComputedSylowComplements: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3228
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ComputedSylowComplements",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetComputedSylowComplements"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3228
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ComputedSylowComplements): system mutable setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3228
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ComputedSylowComplements): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3228
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ComputedSylowComplements)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasComputedSylowComplements"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3228
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ComputedSylowComplements)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SylowComplement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3228
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "SylowComplement: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3228
+                    },
+                    "rank": 53
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SylowComplement",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasSylowComplement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3228
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "HasSylowComplement: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3228
+                    },
+                    "rank": 53
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "HasSylowComplement",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetSylowComplement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3228
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "SetSylowComplement: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3228
+                    },
+                    "rank": 53
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SetSylowComplement",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HallSubgroupOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3273
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "HallSubgroupOp: test trivial cases",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "Tester(Size)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2917
+                    },
+                    "rank": 10048
+                },
+                {
+                    "comment": "HallSubgroupOp: via niceomorphism",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 456
+                    },
+                    "rank": 372
+                },
+                {
+                    "comment": "HallSubgroupOp: method for a nilpotent group",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNilpotentGroup",
+                            "Tester(IsNilpotentGroup)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gi",
+                        "line": 2938
+                    },
+                    "rank": 56
+                },
+                {
+                    "comment": "HallSubgroupOp: pcgs computable groups using special pcgs",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcatr.gi",
+                        "line": 168
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "HallSubgroupOp: via IsomoprhismPcGroup",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsSolvableGroup",
+                            "Tester(IsSolvableGroup)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 2797
+                    },
+                    "rank": 50
+                },
+                {
+                    "comment": "HallSubgroupOp: fitting free",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanComputeFittingFree"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fitfree.gi",
+                        "line": 1356
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "HallSubgroupOp:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 2805
+                    },
+                    "rank": 1
+                },
+                {
+                    "comment": "HallSubgroupOp:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcatr.gi",
+                        "line": 172
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "HallSubgroupOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
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+                            "Tester(ComputedHallSubgroups)"
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+                    "filters": [
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                            "IsAssociative",
+                            "Tester(IsAssociative)",
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+                            "IsAssociative",
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+                            "Tester(IsFinite)",
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+                            "Tester(GeneratorsOfMagmaWithInverses)",
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+                    "filters": [
+                        [
+                            "IsCollection",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ]
+                    ],
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+                        "line": 374
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+                },
+                {
+                    "comment": "GroupWithGenerators: list of matrices",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 841
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+                },
+                {
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+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 4800
+                    },
+                    "rank": 4
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 4076
+                    },
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+            ],
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+                    "filters": [
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsClassFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 4850
+                    },
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+                },
+                {
+                    "comment": "GroupWithGenerators: list of matrices with identity",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse",
+                            "CategoryCollections(CategoryCollections(IsFFE))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpmat.gi",
+                        "line": 872
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsClassFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 4829
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByPolycyclicCollector"
+                        ]
+                    ],
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+                        "line": 441
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsCollection",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
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+                        ]
+                    ],
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+                {
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+                    "filters": [
+                        [
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+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
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+                        ]
+                    ],
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+                        "line": 4130
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsCollection"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
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+            "5args": [],
+            "6args": []
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+                    "Tester(IsAssociative)"
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+                    "filters": [
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+                            "IsAttributeStoringRep",
+                            "Tester(ElementTestFunction)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 3574
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 3574
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+            "5args": [],
+            "6args": []
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+                [
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
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+        ],
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+                "line": 3574
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
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+                        "line": 3574
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ElementTestFunction): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3574
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+                    "rank": 0
+                }
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3574
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+            "5args": [],
+            "6args": []
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+        "name": "Tester(ElementTestFunction)",
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+    {
+        "aka": [
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+        ],
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
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+                "line": 3683
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsTrivial",
+                            "Tester(IsTrivial)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 1144
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 150
+                    },
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+                },
+                {
+                    "aka": [
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetpc.gi",
+                        "line": 270
+                    },
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+                },
+                {
+                    "comment": "RightTransversalOp: pc groups",
+                    "filters": [
+                        [
+                            "Tester(Pcgs)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetpc.gi",
+                        "line": 270
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 5193
+                    },
+                    "rank": 74
+                },
+                {
+                    "comment": "RightTransversalOp: generic, use RightCosets",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 1089
+                    },
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+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3683
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+        ],
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+                    "comment": "RightTransversalInParent: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RightTransversalInParent)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3683
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "RightTransversalInParent: method that calls the two-argument operation RightTransversalOp",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3683
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "RightTransversalInParent: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3683
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                []
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3683
+            }
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/grp.gd",
+                        "line": 3683
+                    },
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+                },
+                {
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+                    "filters": [
+                        [],
+                        []
+                    ],
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+                        "line": 3683
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grp.gd",
+                "line": 3683
+            }
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
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+                "line": 3683
+            }
+        ],
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+            "1args": [],
+            "2args": [
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 3683
+                    },
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
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+                "line": 3709
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+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
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+                        "line": 4330
+                    },
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+                },
+                {
+                    "comment": "IntermediateSubgroups: normal case",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
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+                        "line": 2358
+                    },
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+                },
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+            "6args": []
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+                [
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+            ],
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+                    "IsPosRat"
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+            ],
+            [
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+                "line": 3864
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsomorphismTypeInfoFiniteSimpleGroup)"
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+                    ],
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+                {
+                    "comment": "IsomorphismTypeInfoFiniteSimpleGroup",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    ],
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+                        "line": 3839
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+                        [
+                            "IsOrdinaryTable"
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+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                    ],
+                    "location": {
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+                        "line": 3839
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+                {
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+                    "filters": [
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+                            "IsMagmaWithInverses"
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+            "6args": []
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+                            "Tester(IsHandledByNiceMonomorphism)"
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+                            "IsAssociative",
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+                            "Tester(IsFinite)",
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+                            "Tester(IsAssociative)"
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+                            "IsAttributeStoringRep",
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+                        [
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+            "5args": [],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsomorphismPermGroup)"
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+                    ],
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+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsImfMatrixGroup"
+                        ]
+                    ],
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+                        "line": 618
+                    },
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+                },
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+                    "filters": [
+                        [
+                            "IsPerfectLibraryGroup"
+                        ]
+                    ],
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+                        "line": 763
+                    },
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+                },
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
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+                    ],
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+                        "line": 4072
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+                },
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
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+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
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+                },
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+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
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+                },
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+                        [
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+                            "IsMagmaWithInverses",
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+                            "Tester(IsCommutative)",
+                            "CanEasilyComputeWithIndependentGensAbelianGroup"
+                        ]
+                    ],
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+                },
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+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "KnowsHowToDecompose",
+                            "Tester(KnowsHowToDecompose)",
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+                            "Tester(IsNilpotentGroup)"
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+                        "line": 1489
+                    },
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+                },
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+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
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+                },
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+                            "CategoryCollections(IsPerm)",
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+                        [
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+                },
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsAdditivelyCommutative",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsAdditivelyCommutative"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveMagma"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                "line": 130
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsAdditivelyCommutative): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                        "line": 130
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsAdditivelyCommutative): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                        "line": 130
+                    },
+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsAdditivelyCommutative)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveMagma"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                "line": 130
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsAdditivelyCommutative)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AdditiveMagmaByGenerators",
+            "NearAdditiveMagmaByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                "line": 348
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NearAdditiveMagmaByGenerators: for collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 364
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "NearAdditiveMagmaByGenerators: for family and list",
+                    "filters": [
+                        [
+                            "IsFamily"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 384
+                    },
+                    "rank": 3
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NearAdditiveMagmaByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AdditiveMagmaWithZeroByGenerators",
+            "NearAdditiveMagmaWithZeroByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                "line": 368
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NearAdditiveMagmaWithZeroByGenerators: for collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 401
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "NearAdditiveMagmaWithZeroByGenerators: for family and list",
+                    "filters": [
+                        [
+                            "IsFamily"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 421
+                    },
+                    "rank": 3
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NearAdditiveMagmaWithZeroByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AdditiveGroupByGenerators",
+            "AdditiveMagmaWithInversesByGenerators",
+            "NearAdditiveGroupByGenerators",
+            "NearAdditiveMagmaWithInversesByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                "line": 388
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NearAdditiveGroupByGenerators: for collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 438
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "NearAdditiveGroupByGenerators: for family and list",
+                    "filters": [
+                        [
+                            "IsFamily"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 458
+                    },
+                    "rank": 3
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NearAdditiveGroupByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveMagma"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                "line": 525
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "GeneratorsOfNearAdditiveMagma: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(GeneratorsOfNearAdditiveMagma)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                        "line": 525
+                    },
+                    "rank": 20012
+                },
+                {
+                    "comment": "GeneratorsOfNearAdditiveMagma",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfNearAdditiveGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 496
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "GeneratorsOfNearAdditiveMagma",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveMagmaWithZero",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfNearAdditiveMagmaWithZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 489
+                    },
+                    "rank": 15
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "GeneratorsOfNearAdditiveMagma",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetGeneratorsOfAdditiveMagma",
+            "SetGeneratorsOfNearAdditiveMagma"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveMagma"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                "line": 525
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(GeneratorsOfNearAdditiveMagma): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                        "line": 525
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(GeneratorsOfNearAdditiveMagma): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                        "line": 525
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(GeneratorsOfNearAdditiveMagma)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasGeneratorsOfAdditiveMagma",
+            "HasGeneratorsOfNearAdditiveMagma"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveMagma"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                "line": 525
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(GeneratorsOfNearAdditiveMagma)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveMagmaWithZero"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                "line": 552
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "GeneratorsOfNearAdditiveMagmaWithZero: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(GeneratorsOfNearAdditiveMagmaWithZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                        "line": 552
+                    },
+                    "rank": 20014
+                },
+                {
+                    "comment": "GeneratorsOfNearAdditiveMagmaWithZero",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfNearAdditiveGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 502
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "GeneratorsOfNearAdditiveMagmaWithZero",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveMagmaWithZero",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfNearAdditiveMagma)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 478
+                    },
+                    "rank": 17
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "GeneratorsOfNearAdditiveMagmaWithZero",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetGeneratorsOfAdditiveMagmaWithZero",
+            "SetGeneratorsOfNearAdditiveMagmaWithZero"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveMagmaWithZero"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                "line": 552
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(GeneratorsOfNearAdditiveMagmaWithZero): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                        "line": 552
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(GeneratorsOfNearAdditiveMagmaWithZero): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                        "line": 552
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(GeneratorsOfNearAdditiveMagmaWithZero)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasGeneratorsOfAdditiveMagmaWithZero",
+            "HasGeneratorsOfNearAdditiveMagmaWithZero"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveMagmaWithZero"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                "line": 552
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(GeneratorsOfNearAdditiveMagmaWithZero)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveGroup"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                "line": 578
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "GeneratorsOfNearAdditiveGroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(GeneratorsOfNearAdditiveGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                        "line": 578
+                    },
+                    "rank": 20016
+                },
+                {
+                    "comment": "GeneratorsOfNearAdditiveGroup",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(GeneratorsOfNearAdditiveMagmaWithZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 483
+                    },
+                    "rank": 19
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "GeneratorsOfNearAdditiveGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetGeneratorsOfAdditiveGroup",
+            "SetGeneratorsOfAdditiveMagmaWithInverses",
+            "SetGeneratorsOfNearAdditiveGroup",
+            "SetGeneratorsOfNearAdditiveMagmaWithInverses"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveGroup"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                "line": 578
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(GeneratorsOfNearAdditiveGroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                        "line": 578
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(GeneratorsOfNearAdditiveGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                        "line": 578
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(GeneratorsOfNearAdditiveGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasGeneratorsOfAdditiveGroup",
+            "HasGeneratorsOfAdditiveMagmaWithInverses",
+            "HasGeneratorsOfNearAdditiveGroup",
+            "HasGeneratorsOfNearAdditiveMagmaWithInverses"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveGroup"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                "line": 578
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(GeneratorsOfNearAdditiveGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveMagmaWithZero"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                "line": 604
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "TrivialSubnearAdditiveMagmaWithZero: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(TrivialSubnearAdditiveMagmaWithZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                        "line": 604
+                    },
+                    "rank": 20014
+                },
+                {
+                    "comment": "TrivialSubnearAdditiveMagmaWithZero: for a FLMLOR",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1139
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "TrivialSubnearAdditiveMagmaWithZero: generic method for left modules",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/module.gi",
+                        "line": 382
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "TrivialSubnearAdditiveMagmaWithZero: for add.-magma-with-zero",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveMagmaWithZero",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
+                        "line": 347
+                    },
+                    "rank": 14
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "TrivialSubnearAdditiveMagmaWithZero",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetTrivialSubFLMLOR",
+            "SetTrivialSubadditiveMagmaWithZero",
+            "SetTrivialSubalgebra",
+            "SetTrivialSubmodule",
+            "SetTrivialSubnearAdditiveMagmaWithZero",
+            "SetTrivialSubspace"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveMagmaWithZero"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                "line": 604
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(TrivialSubnearAdditiveMagmaWithZero): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
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+                    "location": {
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+                        "line": 604
+                    },
+                    "rank": 2
+                },
+                {
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+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
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+                        "line": 604
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+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(TrivialSubnearAdditiveMagmaWithZero)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+            "HasTrivialSubadditiveMagmaWithZero",
+            "HasTrivialSubalgebra",
+            "HasTrivialSubmodule",
+            "HasTrivialSubnearAdditiveMagmaWithZero",
+            "HasTrivialSubspace"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveMagmaWithZero"
+                ]
+            ]
+        ],
+        "locations": [
+            {
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+                "line": 604
+            }
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(TrivialSubnearAdditiveMagmaWithZero)",
+        "type": "GAP_Operation"
+    },
+    {
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+            [
+                [
+                    "IsNearAdditiveMagma"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/addmagma.gd",
+                "line": 633
+            }
+        ],
+        "methods": {
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+            "1args": [
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+                    "comment": "AdditiveNeutralElement: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(AdditiveNeutralElement)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 633
+                    },
+                    "rank": 20012
+                },
+                {
+                    "comment": "AdditiveNeutralElement",
+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/addmagma.gi",
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+            ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
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+        ],
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+            [
+                [
+                    "IsNearAdditiveMagma"
+                ],
+                []
+            ]
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+            }
+        ],
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+            "1args": [],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
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+                    ],
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+                    },
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+                },
+                {
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+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
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+                        "line": 633
+                    },
+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
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+            [
+                [
+                    "IsNearAdditiveMagma"
+                ]
+            ]
+        ],
+        "locations": [
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+                "line": 633
+            }
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
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+            "ClosureAdditiveGroup",
+            "ClosureAdditiveMagmaWithInverses",
+            "ClosureNearAdditiveGroup",
+            "ClosureNearAdditiveMagmaWithInverses"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveGroup"
+                ],
+                [
+                    "IsNearAdditiveElement"
+                ]
+            ]
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+                "line": 658
+            }
+        ],
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+            "1args": [],
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+                    "filters": [
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+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ],
+                        [
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+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
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+                    ],
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+                },
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+                        [
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+            "5args": [],
+            "6args": []
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+            "1args": [],
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+                    "filters": [
+                        [
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ],
+                        [
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+    {
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+            [
+                [
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+                    "CategoryCollections(IsAdditiveElement)",
+                    "CategoryCollections(IsMultiplicativeElement)"
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+        ],
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+                    "filters": [
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+                            "IsAttributeStoringRep",
+                            "Tester(IsLDistributive)"
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+                    "CategoryCollections(IsAdditiveElement)",
+                    "CategoryCollections(IsMultiplicativeElement)"
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+                [
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+                ]
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+                "line": 31
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+                {
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+                    "filters": [
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "CategoryCollections(IsAdditiveElement)",
+                    "CategoryCollections(IsMultiplicativeElement)"
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+            "3args": [],
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+    {
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+                    "CategoryCollections(IsAdditiveElement)",
+                    "CategoryCollections(IsMultiplicativeElement)"
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+        ],
+        "locations": [
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+                "line": 60
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+        ],
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+            "1args": [
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsRDistributive)"
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "CategoryCollections(IsAdditiveElement)",
+                    "CategoryCollections(IsMultiplicativeElement)"
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+                [
+                    "IsBool"
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+        ],
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+            "1args": [],
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+                    "filters": [
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+                {
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+            "5args": [],
+            "6args": []
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+                    "CategoryCollections(IsAdditiveElement)",
+                    "CategoryCollections(IsMultiplicativeElement)"
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+            ]
+        ],
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+                "line": 60
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "IsNearAdditiveMagma",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
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+            ]
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+                "line": 189
+            }
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+            "1args": [
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(GeneratorsOfSemiring)"
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+                    },
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+                },
+                {
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+                    "filters": [
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+                            "IsMagma",
+                            "IsNearAdditiveMagma"
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
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+                    "filters": [
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+            "5args": [],
+            "6args": []
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+                    "Tester(IsLDistributive)",
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+                    "Tester(IsRDistributive)"
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+            ]
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+            "6args": []
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+                    "IsNearAdditiveMagma",
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+                    "Tester(IsRDistributive)"
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+                            "IsAttributeStoringRep",
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+            "6args": []
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+                    "Tester(IsRDistributive)"
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+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 168
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(GeneratorsOfRing)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 197
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "GeneratorsOfRingWithOne: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(GeneratorsOfRingWithOne)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 197
+                    },
+                    "rank": 20031
+                },
+                {
+                    "comment": "GeneratorsOfRingWithOne: for a free magma ring-with-one",
+                    "filters": [
+                        [
+                            "IsMagmaWithOne",
+                            "IsFreeMagmaRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1143
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "GeneratorsOfRingWithOne",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 267
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "GeneratorsOfRingWithOne",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "Tester(GeneratorsOfMagmaWithOne)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 263
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "GeneratorsOfRingWithOne: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 197
+                    },
+                    "rank": -25
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "GeneratorsOfRingWithOne",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetGeneratorsOfRingWithOne"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 197
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(GeneratorsOfRingWithOne): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 197
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(GeneratorsOfRingWithOne): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 197
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(GeneratorsOfRingWithOne)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasGeneratorsOfRingWithOne"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 197
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(GeneratorsOfRingWithOne)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RingByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 221
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "RingByGenerators: method that catches the cases of `Integers' and subrings of `Integers'",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1381
+                    },
+                    "rank": 10022
+                },
+                {
+                    "comment": "RingByGenerators: for a list of Lie matrices over a finite field",
+                    "filters": [
+                        [
+                            "CategoryCollections((((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElement)) and IsTable)))",
+                            "CategoryCollections(IsLieObject)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 94
+                    },
+                    "rank": 29
+                },
+                {
+                    "aka": [
+                        "RingFromFFE"
+                    ],
+                    "comment": "RingByGenerators: for a collection of FFE",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 1083
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "RingByGenerators: for a list of matrices over the Cyclotomics",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 33
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "RingByGenerators: for a list of matrices over a finite field",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 27
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "RingByGenerators: for a list of linear mappings of finite vector spaces",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsGeneralMapping)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1754
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "RingByGenerators: for a collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 340
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RingByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "DefaultRingByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 243
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "DefaultRingByGenerators: method that catches the cases of `(Gaussian)Integers' and cycl. fields",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1417
+                    },
+                    "rank": 10022
+                },
+                {
+                    "comment": "DefaultRingByGenerators: for a collection of FFE",
+                    "filters": [
+                        [
+                            "IsList",
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 1093
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "DefaultRingByGenerators: for a list of Lie matrices",
+                    "filters": [
+                        [
+                            "CategoryCollections((((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElement)) and IsTable)))",
+                            "CategoryCollections(IsLieObject)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 135
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "DefaultRingByGenerators: for a collection over a ring Z/nZ",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsZmodnZObjNonprime)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 1161
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "DefaultRingByGenerators: for lists of n x n integer matrices",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1444
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "DefaultRingByGenerators: for a list of matrices over the Cyclotomics",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 55
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "DefaultRingByGenerators: for a list of matrices over a finite field",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 49
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "DefaultRingByGenerators",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 581
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "DefaultRingByGenerators: for a list of linear mappings of vector spaces",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsGeneralMapping)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1788
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "DefaultRingByGenerators: for a collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 351
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "DefaultRingByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RingWithOneByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 301
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "RingWithOneByGenerators: method that catches the cases of `Integers'",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1398
+                    },
+                    "rank": 10022
+                },
+                {
+                    "comment": "RingWithOneByGenerators: for a collection of FFE",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 1088
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "RingWithOneByGenerators: for a list of matrices over the Cyclotomics",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 155
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "RingWithOneByGenerators: for a list of matrices over a finite field",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 149
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "RingWithOneByGenerators: for a list of linear mappings of finite vector spaces",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsGeneralMapping)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1822
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "RingWithOneByGenerators: for a collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 488
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RingWithOneByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ClosureRing"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 481
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ClosureRing: for a ring containing the whole family, and a ring element",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 749
+                    },
+                    "rank": 10036
+                },
+                {
+                    "comment": "ClosureRing: for a ring cont. the whole family, and a collection",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 789
+                    },
+                    "rank": 10030
+                },
+                {
+                    "comment": "ClosureRing: for two rings-with-one",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 780
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "ClosureRing: for two rings",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 767
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "ClosureRing: for a ring-with-one and a ring element",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 740
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "ClosureRing: for a ring and a ring element",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 722
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "ClosureRing: for ring and collection of elements",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 806
+                    },
+                    "rank": 28
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ClosureRing",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 589
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsAnticommutative: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsAnticommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 589
+                    },
+                    "rank": 20029
+                },
+                {
+                    "comment": "IsAnticommutative: generic method for a (finite dimensional) FLMLOR",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 966
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "IsAnticommutative",
+                    "filters": [
+                        [
+                            "Tester(Characteristic)",
+                            "IsMagma",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 111
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "IsAnticommutative: generic method for rings",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 139
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "IsAnticommutative: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 589
+                    },
+                    "rank": -14
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsAnticommutative",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsAnticommutative"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 589
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsAnticommutative): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 589
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsAnticommutative): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 589
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 589
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsAnticommutative)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 618
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsIntegralRing: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsIntegralRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 618
+                    },
+                    "rank": 20029
+                },
+                {
+                    "comment": "IsIntegralRing",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "CategoryCollections(IsZmodnZObjNonprime)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 887
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "IsIntegralRing: for a ring",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 700
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "IsIntegralRing: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 618
+                    },
+                    "rank": -14
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsIntegralRing"
+        ],
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+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 618
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsIntegralRing): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 618
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsIntegralRing): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 618
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 618
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsIntegralRing)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 654
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsJacobianRing: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsJacobianRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 654
+                    },
+                    "rank": 20029
+                },
+                {
+                    "comment": "IsJacobianRing: for a (finite dimensional) FLMLOR",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1068
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "IsJacobianRing: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 654
+                    },
+                    "rank": -14
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsJacobianRing",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsJacobianRing"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 654
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsJacobianRing): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 654
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsJacobianRing): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 654
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsJacobianRing)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 654
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsJacobianRing)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 681
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsZeroSquaredRing: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsZeroSquaredRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 681
+                    },
+                    "rank": 20029
+                },
+                {
+                    "comment": "IsZeroSquaredRing: for a finite dimensional FLMLOR",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1035
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "IsZeroSquaredRing",
+                    "filters": [
+                        [
+                            "Tester(Characteristic)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsAnticommutative",
+                            "Tester(IsAnticommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 155
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "IsZeroSquaredRing: for a ring",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 170
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "IsZeroSquaredRing: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 681
+                    },
+                    "rank": -14
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsZeroSquaredRing",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsZeroSquaredRing"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 681
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsZeroSquaredRing): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 681
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsZeroSquaredRing): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 681
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsZeroSquaredRing)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 681
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsZeroSquaredRing)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 708
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsZeroMultiplicationRing: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsZeroMultiplicationRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 708
+                    },
+                    "rank": 20029
+                },
+                {
+                    "comment": "IsZeroMultiplicationRing",
+                    "filters": [
+                        [
+                            "Tester(IsTrivial)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 181
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "IsZeroMultiplicationRing: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 708
+                    },
+                    "rank": -14
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsZeroMultiplicationRing",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsZeroMultiplicationRing"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 708
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsZeroMultiplicationRing): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 708
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsZeroMultiplicationRing): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 708
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsZeroMultiplicationRing)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 708
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsZeroMultiplicationRing)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 757
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Units: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Units)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 757
+                    },
+                    "rank": 20029
+                },
+                {
+                    "comment": "Units: for a full matrix algebra (over a finite field)",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFullMatrixModule",
+                            "Tester(IsFullMatrixModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 1453
+                    },
+                    "rank": 73
+                },
+                {
+                    "comment": "Units: for a finite field",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 82
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "Units: for a division ring",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 1049
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "Units: for full ring Z/nZ",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "CategoryCollections(IsZmodnZObjNonprime)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 922
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "Units: zmodnze : for full ring Z/nZ(m)",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "CategoryCollections(IsZmodnZepsObj)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 472
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "Units: for a (finite) ring",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 902
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "Units: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 757
+                    },
+                    "rank": -14
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Units",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetUnits"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 757
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(Units): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 757
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(Units): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gd",
+                        "line": 757
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(Units)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasUnits"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 757
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(Units)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "Factors"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 798
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Factors: for a ring element",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 1005
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "Factors:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/upoly.gi",
+                        "line": 90
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "Factors: for a division ring and a ring element",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 1116
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "Factors: for Gaussian integers",
+                    "filters": [
+                        [
+                            "IsGaussianIntegers"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gaussian.gi",
+                        "line": 314
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "Factors: for integers",
+                    "filters": [
+                        [
+                            "IsIntegers"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1532
+                    },
+                    "rank": 57
+                },
+                {
+                    "comment": "Factors: univariate rational polynomial",
+                    "filters": [
+                        [
+                            "IsRationalsPolynomialRing"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/polyrat.gi",
+                        "line": 1901
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "Factors: for a polynomial over a field of cyclotomics",
+                    "filters": [
+                        [
+                            "IsAbelianNumberFieldPolynomialRing"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.gi",
+                        "line": 1947
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "Factors: alg ext polynomial",
+                    "filters": [
+                        [
+                            "IsAlgebraicExtensionPolynomialRing"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 2133
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "Factors: polynomial over a finite field",
+                    "filters": [
+                        [
+                            "IsFiniteFieldPolynomialRing"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/polyfinf.gi",
+                        "line": 372
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "Factors: multivariate, reduce to univariate case",
+                    "filters": [
+                        [
+                            "IsPolynomialRing"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 1973
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "Factors: fallback error message",
+                    "filters": [
+                        [
+                            "IsPolynomialRing"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 1979
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "Factors:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/upoly.gi",
+                        "line": 92
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Factors",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsAssociated"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 823
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsAssociated: for two ring elements",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 556
+                    },
+                    "rank": 16
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "IsAssociated: for a division ring, and two ring elements",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 1129
+                    },
+                    "rank": 68
+                },
+                {
+                    "comment": "IsAssociated: for ring and two ring elements",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 543
+                    },
+                    "rank": 42
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsAssociated",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "Associates"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 854
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Associates: for a ring element",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 965
+                    },
+                    "rank": 8
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "Associates: for a ring and a ring element",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 973
+                    },
+                    "rank": 34
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Associates",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsUnit"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 880
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsUnit: zmodnze : for element in Z/nZ(m) (ZModnZepsRep) without given ring",
+                    "filters": [
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 432
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "IsUnit: for a Lie object (return `false')",
+                    "filters": [
+                        [
+                            "IsLieObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 466
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "IsUnit: for a ring element",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 847
+                    },
+                    "rank": 8
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "IsUnit: for matrix FLMLOR and matrix",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 846
+                    },
+                    "rank": 74
+                },
+                {
+                    "comment": "IsUnit: for a division ring, and a ring element",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 1033
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "IsUnit: for element in Z/nZ (ModulusRep)",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "CategoryCollections(IsZmodnZObjNonprime)"
+                        ],
+                        [
+                            "IsZmodnZObj",
+                            "IsModulusRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 900
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "IsUnit: zmodnze : for element in Z/nZ(m) (ZModnZepsRep) with given ring",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "CategoryCollections(IsZmodnZepsObj)"
+                        ],
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 404
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "IsUnit: for finite Rings",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 900
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "IsUnit: for a ring with known units and a ring element",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(Units)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 855
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "IsUnit: for a ring and a ring element",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 872
+                    },
+                    "rank": 34
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsUnit",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "InterpolatedPolynomial"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsHomogeneousList"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 907
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "InterpolatedPolynomial",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 322
+                    },
+                    "rank": 26
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "InterpolatedPolynomial",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "Quotient"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 938
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Quotient: laurent",
+                    "filters": [
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 670
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "Quotient: multivar",
+                    "filters": [
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 1151
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "Quotient: for two ring elements (delegate to three argument version",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 819
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "Quotient:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ],
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 675
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "Quotient: for integers",
+                    "filters": [
+                        [
+                            "IsIntegers"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1680
+                    },
+                    "rank": 75
+                },
+                {
+                    "comment": "Quotient: for Gaussian integers",
+                    "filters": [
+                        [
+                            "IsGaussianIntegers"
+                        ],
+                        [
+                            "IsCyc"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gaussian.gi",
+                        "line": 126
+                    },
+                    "rank": 74
+                },
+                {
+                    "comment": "Quotient: for a division ring, and two ring elements",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 1020
+                    },
+                    "rank": 68
+                },
+                {
+                    "comment": "Quotient: laurent, ring",
+                    "filters": [
+                        [
+                            "IsPolynomialRing"
+                        ],
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ],
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 664
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "Quotient: multivar with ring",
+                    "filters": [
+                        [
+                            "IsPolynomialRing"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 1140
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": "Quotient: for a ring and two ring elements",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 835
+                    },
+                    "rank": 42
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Quotient",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "StandardAssociate"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 970
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "StandardAssociate: for a ring element",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 913
+                    },
+                    "rank": 8
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "StandardAssociate: for a ring and its zero element",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement",
+                            "IsZero",
+                            "Tester(IsZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 922
+                    },
+                    "rank": 10036
+                },
+                {
+                    "comment": "StandardAssociate: for a division ring and a ring element",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 1146
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "StandardAssociate: for integers",
+                    "filters": [
+                        [
+                            "IsIntegers"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1799
+                    },
+                    "rank": 57
+                },
+                {
+                    "comment": "StandardAssociate: for a ring and a ring element (using StandardAssociateUnit)",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 933
+                    },
+                    "rank": 34
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "StandardAssociate",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "StandardAssociateUnit"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 1003
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "StandardAssociateUnit: for a ring element",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 944
+                    },
+                    "rank": 8
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "StandardAssociateUnit: for a ring and its zero element",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement",
+                            "IsZero",
+                            "Tester(IsZero)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 953
+                    },
+                    "rank": 10036
+                },
+                {
+                    "comment": "StandardAssociateUnit: for a division ring and a ring element",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 1163
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "StandardAssociateUnit: for Gaussian integers",
+                    "filters": [
+                        [
+                            "IsGaussianIntegers"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gaussian.gi",
+                        "line": 162
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "StandardAssociateUnit: for integers",
+                    "filters": [
+                        [
+                            "IsIntegers"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1815
+                    },
+                    "rank": 57
+                },
+                {
+                    "comment": "StandardAssociateUnit: laurent",
+                    "filters": [
+                        [
+                            "IsPolynomialRing"
+                        ],
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1042
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "StandardAssociateUnit: for a polynomial ring and a polynomial",
+                    "filters": [
+                        [
+                            "IsPolynomialRing"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 635
+                    },
+                    "rank": 41
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "StandardAssociateUnit",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsPrime"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 1030
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsPrime: for a ring element",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 984
+                    },
+                    "rank": 8
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "IsPrime: for a division ring and a ring element",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 1197
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "IsPrime: for Gaussian integers and integer",
+                    "filters": [
+                        [
+                            "IsGaussianIntegers"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gaussian.gi",
+                        "line": 245
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "IsPrime: for Gaussian integers and cyclotomic",
+                    "filters": [
+                        [
+                            "IsGaussianIntegers"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gaussian.gi",
+                        "line": 257
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "IsPrime: for integers",
+                    "filters": [
+                        [
+                            "IsIntegers"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1571
+                    },
+                    "rank": 57
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsPrime",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsIrreducibleRingElement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 1063
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsIrreducibleRingElement: for a ring element",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 995
+                    },
+                    "rank": 8
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "IsIrreducibleRingElement: for a division ring and a ring element",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 1180
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "IsIrreducibleRingElement: for integers",
+                    "filters": [
+                        [
+                            "IsIntegers"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1558
+                    },
+                    "rank": 57
+                },
+                {
+                    "comment": "IsIrreducibleRingElement: AlgPol",
+                    "filters": [
+                        [
+                            "IsAlgebraicExtensionPolynomialRing"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 2172
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "IsIrreducibleRingElement: polynomial",
+                    "filters": [
+                        [
+                            "IsPolynomialRing"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/upoly.gi",
+                        "line": 55
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "IsIrreducibleRingElement:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/upoly.gi",
+                        "line": 94
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsIrreducibleRingElement",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "EuclideanDegree"
+        ],
+        "filters": [
+            [
+                [
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 1090
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "EuclideanDegree: univariate",
+                    "filters": [
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 929
+                    },
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+                },
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+                    "comment": "EuclideanDegree: laurent",
+                    "filters": [
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
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+                    ],
+                    "location": {
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+                },
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+                    "filters": [
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+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
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+                    ],
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+                            "IsAssociativeLOpEProd",
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+                            "IsAdditiveElement",
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+                    "filters": [
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+                        ],
+                        [
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+                        [
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+                },
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+                        [
+                            "IsPolynomialRing"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
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+                    ],
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+                            "IsPolynomialRing"
+                        ],
+                        [
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+                    "IsAdditiveElement",
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+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 964
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
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+                    ],
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+                    },
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+                },
+                {
+                    "comment": "EuclideanRemainder:  fallback method to test conditions",
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+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
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+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
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+                    ],
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+                            "IsIntegers"
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+                        [
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+                        [
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+                        [
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+                        [
+                            "IsCyc"
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+                            "IsPolynomialRing"
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+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
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+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
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+                        [
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+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
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+                    "filters": [
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+                            "IsPolynomialRing"
+                        ],
+                        [
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+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
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+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
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+                [
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+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
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+                    "filters": [
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+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
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+                            "IsIntegers"
+                        ],
+                        [
+                            "IsInt"
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+                        [
+                            "IsInt"
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+                        [
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+                        ],
+                        [
+                            "IsCyc"
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+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
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+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
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+                    "IsMultiplicativeElement"
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+                [
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+                    "IsAdditiveElement",
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+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
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+                            "Tester(IsUnivariateRationalFunction)"
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+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
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+                    ],
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+                {
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+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
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+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
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+                        [
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+                            "IsIntegers"
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+                        [
+                            "IsInt"
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+                        [
+                            "IsInt"
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+                {
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+                            "IsGaussianIntegers"
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+                        [
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+                        [
+                            "IsCyc"
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+                        [
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+                        [
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+                        [
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+                    "Tester(IsLDistributive)",
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+                    "Tester(IsRDistributive)"
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+                [
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+                [
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+                    "IsMultiplicativeElement"
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+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
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+                            "Tester(IsUnivariateRationalFunction)"
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+                        [
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+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
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+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
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+                {
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+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
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+                        [
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+                        [
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+                        [
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+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 703
+                    },
+                    "rank": 83
+                },
+                {
+                    "comment": "QuotientMod: for a Euclidean ring and three ring elements",
+                    "filters": [
+                        [
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 1109
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": "QuotientMod:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ],
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ],
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 707
+                    },
+                    "rank": 0
+                }
+            ],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PowerMod"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ring.gd",
+                "line": 1259
+            }
+        ],
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+            "1args": [],
+            "2args": [],
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+                    "aka": [
+                        "POWMOD_UPOLY"
+                    ],
+                    "comment": "PowerMod: laurent",
+                    "filters": [
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 778
+                    },
+                    "rank": 56
+                },
+                {
+                    "comment": "PowerMod: for ring element, integer, and ring element",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 1122
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "PowerMod:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 782
+                    },
+                    "rank": 0
+                }
+            ],
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+                    "filters": [
+                        [
+                            "IsIntegers"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1662
+                    },
+                    "rank": 93
+                },
+                {
+                    "comment": "PowerMod: laurent,ring ",
+                    "filters": [
+                        [
+                            "IsPolynomialRing"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 771
+                    },
+                    "rank": 83
+                },
+                {
+                    "comment": "PowerMod: for Euclidean ring, ring element, integer, and ring element",
+                    "filters": [
+                        [
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 1162
+                    },
+                    "rank": 65
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsPolynomialRing"
+                        ],
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 775
+                    },
+                    "rank": 0
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+            "6args": []
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+                [
+                    "IsUniqueFactorizationRing"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ]
+            ]
+        ],
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+                "line": 1327
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+                    ],
+                    "comment": "GcdOp: univariate polynomials",
+                    "filters": [
+                        [
+                            "IsRationalFunction",
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ],
+                        [
+                            "IsRationalFunction",
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1023
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "GcdOp: for two ring elements",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ring.gi",
+                        "line": 1232
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsRationalFunction"
+                        ],
+                        [
+                            "IsRationalFunction"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 1031
+                    },
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+            ],
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+                    "filters": [
+                        [
+                            "IsIntegers"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1545
+                    },
+                    "rank": 75
+                },
+                {
+                    "comment": "GcdOp: rational univariate polynomials",
+                    "filters": [
+                        [
+                            "IsEuclideanRing",
+                            "IsRationalsPolynomialRing"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/polyrat.gi",
+                        "line": 761
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "GcdOp: univariate polynomials, ring",
+                    "filters": [
+                        [
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
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+                        "line": 1019
+                    },
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+                },
+                {
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+                        [
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+                        ],
+                        [
+                            "IsRationalFunction"
+                        ],
+                        [
+                            "IsRationalFunction"
+                        ]
+                    ],
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+                        "line": 1319
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsPolynomialRing"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
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+                        "line": 1188
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
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+                        "line": 1260
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsRationalFunction"
+                        ],
+                        [
+                            "IsRationalFunction"
+                        ]
+                    ],
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+                [
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+                [
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+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
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+            ]
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+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
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+                        "line": 1327
+                    },
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+                    "filters": [
+                        [
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
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+                        "line": 1349
+                    },
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+                [
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+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
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+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
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+                    "filters": [
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+                            "IsIntegers"
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+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
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+                    "filters": [
+                        [
+                            "IsPolynomialRing"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
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+                    ],
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+                        "line": 1194
+                    },
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+                        [
+                            "IsUniqueFactorizationRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
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+                    ],
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+                    "filters": [
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+                            "IsRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsGeneralizedCartanMatrix)"
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+                    ],
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+                {
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+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
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+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
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+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                    "Tester(IsLDistributive)",
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+                    "Tester(IsRDistributive)"
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+                    "filters": [
+                        [
+                            "IsIntegers"
+                        ],
+                        [
+                            "IsMutable",
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
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+                        "line": 730
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+                },
+                {
+                    "comment": "DiagonalizeMat: method for general Euclidean Ring",
+                    "filters": [
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+                        ],
+                        [
+                            "IsMutable",
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
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+                            "IsAttributeStoringRep",
+                            "Tester(JordanDecomposition)"
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+                        "line": 1762
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+                {
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+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
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+                            "Tester(CharacteristicPolynomial)"
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+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 961
+                    },
+                    "rank": 118
+                },
+                {
+                    "comment": "CharacteristicPolynomial: check default field, print error if ambiguous",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsOrdinaryMatrix"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/obsolete.gi",
+                        "line": 347
+                    },
+                    "rank": 105
+                }
+            ],
+            "4args": [
+                {
+                    "comment": "CharacteristicPolynomial: spinning over field",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsOrdinaryMatrix"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 725
+                    },
+                    "rank": 157
+                },
+                {
+                    "aka": [
+                        "TracePolynomial"
+                    ],
+                    "comment": "CharacteristicPolynomial: call `TracePolynomial'",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 967
+                    },
+                    "rank": 137
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CharacteristicPolynomial",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetCharacteristicPolynomial"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTable",
+                    "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                    "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matrix.gd",
+                "line": 1922
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(CharacteristicPolynomial): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gd",
+                        "line": 1922
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(CharacteristicPolynomial): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gd",
+                        "line": 1922
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(CharacteristicPolynomial)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasCharacteristicPolynomial"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTable",
+                    "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                    "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matrix.gd",
+                "line": 1922
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(CharacteristicPolynomial)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CharacteristicPolynomialMatrixNC"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsOrdinaryMatrix"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matrix.gd",
+                "line": 1945
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "aka": [
+                        "Matrix_CharacteristicPolynomialSameField"
+                    ],
+                    "comment": "CharacteristicPolynomialMatrixNC: spinning over field",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsOrdinaryMatrix"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 731
+                    },
+                    "rank": 104
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CharacteristicPolynomialMatrixNC",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "MinimalPolynomialMatrixNC"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsOrdinaryMatrix"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matrix.gd",
+                "line": 1963
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "aka": [
+                        "Matrix_MinimalPolynomialSameField"
+                    ],
+                    "comment": "MinimalPolynomialMatrixNC: spinning over field",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsOrdinaryMatrix"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 779
+                    },
+                    "rank": 104
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "MinimalPolynomialMatrixNC",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matrix.gd",
+                "line": 1979
+            }
+        ],
+        "methods": {
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+            "1args": [
+                {
+                    "comment": "FieldOfMatrixList: finite field matrices",
+                    "filters": [
+                        [
+                            "IsListOrCollection",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpffmat.gi",
+                        "line": 53
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "FieldOfMatrixList: generic: form field",
+                    "filters": [
+                        [
+                            "IsListOrCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 3905
+                    },
+                    "rank": 1
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "FieldOfMatrixList",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "DefaultScalarDomainOfMatrixList"
+        ],
+        "filters": [
+            [
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matrix.gd",
+                "line": 1999
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "DefaultScalarDomainOfMatrixList: finite field matrices",
+                    "filters": [
+                        [
+                            "IsListOrCollection",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpffmat.gi",
+                        "line": 80
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "DefaultScalarDomainOfMatrixList: generic: form ring",
+                    "filters": [
+                        [
+                            "IsListOrCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 3936
+                    },
+                    "rank": 1
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "DefaultScalarDomainOfMatrixList",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        "filters": [
+            [
+                []
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+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matrix.gd",
+                "line": 2017
+            }
+        ],
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+                    "filters": [
+                        [
+                            "Is8BitMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 1139
+                    },
+                    "rank": 15
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsGF2MatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 2301
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "BaseField: for a compressed 8bit vector",
+                    "filters": [
+                        [
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 1141
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "BaseField: for a compressed gf2 vector",
+                    "filters": [
+                        [
+                            "IsGF2VectorRep"
+                        ]
+                    ],
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+                        "line": 2303
+                    },
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+                }
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+        "type": "GAP_Operation"
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+                    "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
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+                "file": "/home/makx/ac/gap/lib/matint.gd",
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+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/matint.gi",
+                        "line": 589
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+                },
+                {
+                    "comment": "TriangulizedIntegerMat: empty",
+                    "filters": [
+                        [
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
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+                        "line": 598
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsList"
+                        ]
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+                "file": "/home/makx/ac/gap/lib/matint.gd",
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+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matint.gi",
+                        "line": 628
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+                },
+                {
+                    "comment": "TriangulizeIntegerMat: empty",
+                    "filters": [
+                        [
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
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+                            "IsTable",
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+                {
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+                        [
+                            "IsTable",
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+                        [
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+                },
+                {
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+        },
+        "name": "Setter(NullspaceIntMat)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasNullspaceIntMat"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTable",
+                    "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                    "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                    "CategoryCollections(CategoryCollections(IsCyclotomic))"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matint.gd",
+                "line": 437
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(NullspaceIntMat)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SolutionIntMat"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTable",
+                    "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                    "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                    "CategoryCollections(CategoryCollections(IsCyclotomic))"
+                ],
+                [
+                    "IsList",
+                    "CategoryCollections(IsCyclotomic)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matint.gd",
+                "line": 466
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "SolutionIntMat: use HNF",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "CategoryCollections(CategoryCollections(IsCyclotomic))"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matint.gi",
+                        "line": 859
+                    },
+                    "rank": 71
+                },
+                {
+                    "comment": "SolutionIntMat: empty",
+                    "filters": [
+                        [
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matint.gi",
+                        "line": 864
+                    },
+                    "rank": 3
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SolutionIntMat",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SolutionNullspaceIntMat"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTable",
+                    "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                    "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                    "CategoryCollections(CategoryCollections(IsCyclotomic))"
+                ],
+                [
+                    "IsList",
+                    "CategoryCollections(IsCyclotomic)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matint.gd",
+                "line": 495
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "SolutionNullspaceIntMat: use HNF",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "CategoryCollections(CategoryCollections(IsCyclotomic))"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matint.gi",
+                        "line": 895
+                    },
+                    "rank": 71
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SolutionNullspaceIntMat",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "CategoryCollections(IsCyclotomic)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matint.gd",
+                "line": 517
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "AbelianInvariantsOfList: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(AbelianInvariantsOfList)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matint.gd",
+                        "line": 517
+                    },
+                    "rank": 20025
+                },
+                {
+                    "comment": "AbelianInvariantsOfList",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matint.gi",
+                        "line": 999
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "AbelianInvariantsOfList",
+                    "filters": [
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matint.gi",
+                        "line": 1003
+                    },
+                    "rank": 17
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AbelianInvariantsOfList",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetAbelianInvariantsOfList"
+        ],
+        "filters": [
+            [
+                [
+                    "CategoryCollections(IsCyclotomic)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matint.gd",
+                "line": 517
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(AbelianInvariantsOfList): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matint.gd",
+                        "line": 517
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(AbelianInvariantsOfList): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matint.gd",
+                        "line": 517
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(AbelianInvariantsOfList)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasAbelianInvariantsOfList"
+        ],
+        "filters": [
+            [
+                [
+                    "CategoryCollections(IsCyclotomic)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matint.gd",
+                "line": 517
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(AbelianInvariantsOfList)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsTable",
+                    "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                    "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matblock.gd",
+                "line": 85
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "MatrixByBlockMatrix: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(MatrixByBlockMatrix)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gd",
+                        "line": 85
+                    },
+                    "rank": 20033
+                },
+                {
+                    "comment": "MatrixByBlockMatrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gi",
+                        "line": 216
+                    },
+                    "rank": 30
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "MatrixByBlockMatrix",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetMatrixByBlockMatrix"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTable",
+                    "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                    "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matblock.gd",
+                "line": 85
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(MatrixByBlockMatrix): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gd",
+                        "line": 85
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(MatrixByBlockMatrix): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matblock.gd",
+                        "line": 85
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(MatrixByBlockMatrix)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasMatrixByBlockMatrix"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTable",
+                    "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                    "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matblock.gd",
+                "line": 85
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(MatrixByBlockMatrix)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsIdealOp",
+            "IsTwoSidedIdealOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 193
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "aka": [
+                        "IsLeftIdeal"
+                    ],
+                    "comment": "IsTwoSidedIdealOp: for anti-commutative FLMLOR and free left module",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsAnticommutative",
+                            "Tester(IsAnticommutative)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 181
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "IsTwoSidedIdealOp: for commutative FLMLOR and free left module",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 181
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "IsTwoSidedIdealOp: for FLMLOR and free left module",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 196
+                    },
+                    "rank": 57
+                },
+                {
+                    "comment": "IsTwoSidedIdealOp: for rings and subrings",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 996
+                    },
+                    "rank": 52
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsTwoSidedIdealOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 193
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsTwoSidedIdealInParent: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsTwoSidedIdealInParent)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 193
+                    },
+                    "rank": 20029
+                },
+                {
+                    "comment": "IsTwoSidedIdealInParent",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsRightIdealInParent",
+                            "Tester(IsRightIdealInParent)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 304
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "IsTwoSidedIdealInParent",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsLeftIdealInParent",
+                            "Tester(IsLeftIdealInParent)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 292
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "IsTwoSidedIdealInParent: method that calls the two-argument operation IsTwoSidedIdealOp",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 193
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "IsTwoSidedIdealInParent: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 193
+                    },
+                    "rank": -14
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsTwoSidedIdealInParent",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsIdealInParent",
+            "SetIsTwoSidedIdealInParent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 193
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsTwoSidedIdealInParent): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 193
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsTwoSidedIdealInParent): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 193
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsTwoSidedIdealInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 193
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsTwoSidedIdealInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsIdeal",
+            "IsTwoSidedIdeal"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 193
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsTwoSidedIdeal: try to exploit the in-parent attribute IsTwoSidedIdealInParent",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 193
+                    },
+                    "rank": 52
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsTwoSidedIdeal",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsLeftIdealOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 194
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsLeftIdealOp: for associative FLMLOR and FLMLOR",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 122
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "IsLeftIdealOp: for associative FLMLOR-with-one and free left module",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 114
+                    },
+                    "rank": 66
+                },
+                {
+                    "comment": "IsLeftIdealOp: for associative FLMLOR and free left module",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 106
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "IsLeftIdealOp: for SCRings",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "CategoryCollections(IsSCRingObj)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "CategoryCollections(IsSCRingObj)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 966
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "IsLeftIdealOp: for FLMLOR and free left module",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 98
+                    },
+                    "rank": 57
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsLeftIdealOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 194
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsLeftIdealInParent: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsLeftIdealInParent)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 194
+                    },
+                    "rank": 20029
+                },
+                {
+                    "comment": "IsLeftIdealInParent: method that calls the two-argument operation IsLeftIdealOp",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 194
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "IsLeftIdealInParent: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 194
+                    },
+                    "rank": -14
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsLeftIdealInParent",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsLeftIdealInParent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 194
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsLeftIdealInParent): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 194
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsLeftIdealInParent): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 194
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsLeftIdealInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 194
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsLeftIdealInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 194
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsLeftIdeal: left ideal in ring, naive",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(LeftActingRingOfIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 884
+                    },
+                    "rank": 79
+                },
+                {
+                    "comment": "IsLeftIdeal: try to exploit the in-parent attribute IsLeftIdealInParent",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 194
+                    },
+                    "rank": 52
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsLeftIdeal",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsRightIdealOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 195
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsRightIdealOp: for associative FLMLOR and FLMLOR",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 166
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "IsRightIdealOp: for associative FLMLOR-with-one and free left module",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 158
+                    },
+                    "rank": 66
+                },
+                {
+                    "comment": "IsRightIdealOp: for associative FLMLOR and free left module",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 150
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "IsRightIdealOp: for SCRings",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "CategoryCollections(IsSCRingObj)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "CategoryCollections(IsSCRingObj)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringsc.gi",
+                        "line": 989
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "IsRightIdealOp: for FLMLOR and free left module",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 142
+                    },
+                    "rank": 57
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsRightIdealOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 195
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsRightIdealInParent: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsRightIdealInParent)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 195
+                    },
+                    "rank": 20029
+                },
+                {
+                    "comment": "IsRightIdealInParent: method that calls the two-argument operation IsRightIdealOp",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 195
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "IsRightIdealInParent: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 195
+                    },
+                    "rank": -14
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsRightIdealInParent",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsRightIdealInParent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 195
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsRightIdealInParent): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 195
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsRightIdealInParent): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 195
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsRightIdealInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 195
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsRightIdealInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsRightIdeal"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 195
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsRightIdeal: try to exploit the in-parent attribute IsRightIdealInParent",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 195
+                    },
+                    "rank": 52
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsRightIdeal",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IdealByGenerators",
+            "TwoSidedIdealByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 230
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "aka": [
+                        "IdealByGeneratorsForLieAlgebra"
+                    ],
+                    "comment": "TwoSidedIdealByGenerators: for Lie algebra and collection of Lie objects",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsLieObject)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 578
+                    },
+                    "rank": 65
+                },
+                {
+                    "comment": "TwoSidedIdealByGenerators: for matrix algebra and empty list",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 646
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "TwoSidedIdealByGenerators: for Lie algebra and empty list",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 578
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "TwoSidedIdealByGenerators: for Gaussian matrix algebra and list of matrices",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsMatrixModule",
+                            "Tester(IsMatrixModule)",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 586
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "TwoSidedIdealByGenerators: for non-Gaussian matrix algebra and list of matrices",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsNonGaussianMatrixSpace"
+                        ],
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 619
+                    },
+                    "rank": 53
+                },
+                {
+                    "comment": "TwoSidedIdealByGenerators: for FLMLOR and empty list",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 286
+                    },
+                    "rank": 51
+                },
+                {
+                    "comment": "TwoSidedIdealByGenerators: for FLMLOR and collection",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 225
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "TwoSidedIdealByGenerators: for ring and collection",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 208
+                    },
+                    "rank": 28
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "TwoSidedIdealByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "LeftIdealByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 255
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "LeftIdealByGenerators: for Lie algebra and collection of Lie objects",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsLieObject)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 584
+                    },
+                    "rank": 65
+                },
+                {
+                    "comment": "LeftIdealByGenerators: for matrix algebra and empty list",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 739
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "LeftIdealByGenerators: for Lie algebra and empty list",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 584
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "LeftIdealByGenerators: for Gaussian matrix algebra and list of matrices",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsMatrixModule",
+                            "Tester(IsMatrixModule)",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 681
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "LeftIdealByGenerators: for non-Gaussian matrix algebra and list of matrices",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsNonGaussianMatrixSpace"
+                        ],
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 713
+                    },
+                    "rank": 53
+                },
+                {
+                    "comment": "LeftIdealByGenerators: for FLMLOR and empty list",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 307
+                    },
+                    "rank": 51
+                },
+                {
+                    "comment": "LeftIdealByGenerators: to construct ideals of commutative rings",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 266
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "LeftIdealByGenerators: for FLMLOR and collection",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 244
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "LeftIdealByGenerators: for ring and collection",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 228
+                    },
+                    "rank": 28
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LeftIdealByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RightIdealByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 278
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "RightIdealByGenerators: for Lie algebra and collection of Lie objects",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsLieObject)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 590
+                    },
+                    "rank": 65
+                },
+                {
+                    "comment": "RightIdealByGenerators: for matrix algebra and empty list",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 832
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "RightIdealByGenerators: for Lie algebra and empty list",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/liefam.gi",
+                        "line": 590
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "RightIdealByGenerators: for Gaussian matrix algebra and list of matrices",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsMatrixModule",
+                            "Tester(IsMatrixModule)",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 774
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "RightIdealByGenerators: for non-Gaussian matrix algebra and list of matrices",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsNonGaussianMatrixSpace"
+                        ],
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 806
+                    },
+                    "rank": 53
+                },
+                {
+                    "comment": "RightIdealByGenerators: for FLMLOR and empty list",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 328
+                    },
+                    "rank": 51
+                },
+                {
+                    "comment": "RightIdealByGenerators: to construct ideals of commutative rings",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 275
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "RightIdealByGenerators: for FLMLOR and collection",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 263
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "RightIdealByGenerators: for ring and collection",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 248
+                    },
+                    "rank": 28
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RightIdealByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 308
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "GeneratorsOfTwoSidedIdeal: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(GeneratorsOfTwoSidedIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 308
+                    },
+                    "rank": 20029
+                },
+                {
+                    "comment": "GeneratorsOfTwoSidedIdeal: for a two-sided ideal with known `GeneratorsOfRightIdeal'",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRightIdeal)",
+                            "Tester(LeftActingRingOfIdeal)",
+                            "Tester(RightActingRingOfIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 645
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "GeneratorsOfTwoSidedIdeal: for a two-sided ideal with known `GeneratorsOfLeftIdeal'",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfLeftIdeal)",
+                            "Tester(LeftActingRingOfIdeal)",
+                            "Tester(RightActingRingOfIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 638
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "GeneratorsOfTwoSidedIdeal: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 308
+                    },
+                    "rank": -14
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "GeneratorsOfTwoSidedIdeal",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetGeneratorsOfIdeal",
+            "SetGeneratorsOfTwoSidedIdeal"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 308
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(GeneratorsOfTwoSidedIdeal): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 308
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(GeneratorsOfTwoSidedIdeal): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 308
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(GeneratorsOfTwoSidedIdeal)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasGeneratorsOfIdeal",
+            "HasGeneratorsOfTwoSidedIdeal"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 308
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(GeneratorsOfTwoSidedIdeal)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 329
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "GeneratorsOfLeftIdeal: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(GeneratorsOfLeftIdeal)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gd",
+                        "line": 329
+                    },
+                    "rank": 20029
+                },
+                {
+                    "comment": "GeneratorsOfLeftIdeal: for an ideal with known `GeneratorsOfTwoSidedIdeal'",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfTwoSidedIdeal)",
+                            "Tester(LeftActingRingOfIdeal)",
+                            "Tester(RightActingRingOfIdeal)"
+                        ]
+                    ],
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+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
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+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
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+                    "Tester(IsLDistributive)",
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+                    "Tester(IsRDistributive)"
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+                [
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+                    "Tester(IsRDistributive)"
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+                            "Tester(IsLDistributive)",
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+                        [
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+                            "IsNearAdditiveMagma",
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+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
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+                    "Tester(IsLDistributive)",
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+                [
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+                            "Tester(IsLDistributive)",
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+                        [
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+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
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+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
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+                            "Tester(IsLDistributive)",
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+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 846
+                    },
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+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+    },
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+            "AsTwoSidedIdeal"
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+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
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+            {
+                "file": "/home/makx/ac/gap/lib/ideal.gd",
+                "line": 413
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+                    "comment": "AsTwoSidedIdeal: for two FLMLORs",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 507
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ideal.gi",
+                        "line": 862
+                    },
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+                }
+            ],
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+            "6args": []
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+        "type": "GAP_Operation"
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+                "line": 173
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsFiniteDimensional)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 173
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+                },
+                {
+                    "comment": "IsFiniteDimensional: for a f.p. Lie algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)",
+                            "IsSubalgebraFpAlgebra"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 4187
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "Tester(GeneratorsOfLeftOperatorRing)",
+                            "CategoryCollections(IsElementOfFreeMagmaRing)"
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+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 962
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsSubalgebraFpAlgebra"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 675
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagmaRingModuloSpanOfZero"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 1629
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsFreeMagmaRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
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+                },
+                {
+                    "comment": "IsFiniteDimensional: for an ideal in an algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(RightActingRingOfIdeal)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/idealalg.gi",
+                        "line": 536
+                    },
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+                },
+                {
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+                    "filters": [
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+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(LeftActingRingOfIdeal)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
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+                },
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+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "CategoryCollections(IsAlgebraModuleElement)"
+                        ]
+                    ],
+                    "location": {
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+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "Tester(Dimension)"
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+                    ],
+                    "location": {
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+                        "line": 333
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+                            "IsAttributeStoringRep",
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+                },
+                {
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+                    "filters": [
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+                            "IsExtLSet",
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+                            "IsDistributiveLOpESum",
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+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsRowModule",
+                            "Tester(IsRowModule)",
+                            "IsGaussianSpace"
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+                    ],
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+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
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+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
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+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsNonGaussianRowSpace"
+                        ]
+                    ],
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+                        [
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+                },
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+                    "comment": "IsFullRowModule: for arbitrary free left module",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
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+                    ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                        "line": 208
+                    },
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+                },
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+                    "filters": [
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+                            "IsAttributeStoringRep",
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+                },
+                {
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+                    "filters": [
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+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
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+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
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+                            "IsNearAdditiveMagma",
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+                            "IsAdditivelyCommutative",
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+                            "IsMatrixModule",
+                            "Tester(IsMatrixModule)",
+                            "IsGaussianSpace"
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+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
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+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
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+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
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+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(GeneratorsOfRightOperatorAdditiveGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AsLeftModule",
+            "AsVectorSpace"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/module.gd",
+                "line": 406
+            }
+        ],
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+            "1args": [],
+            "2args": [
+                {
+                    "aka": [
+                        "AsDivisionRing",
+                        "AsField"
+                    ],
+                    "comment": "AsLeftModule: for two division rings",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 667
+                    },
+                    "rank": 104
+                },
+                {
+                    "comment": "AsLeftModule: for division ring and matrix",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 805
+                    },
+                    "rank": 82
+                },
+                {
+                    "comment": "AsLeftModule: method for a division ring and a vector space",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gi",
+                        "line": 170
+                    },
+                    "rank": 77
+                },
+                {
+                    "comment": "AsLeftModule:  for a ring and a left module",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/module.gi",
+                        "line": 165
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "AsLeftModule: generic method for a ring and a collection",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/module.gi",
+                        "line": 86
+                    },
+                    "rank": 28
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ClosureLeftModule"
+        ],
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+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsExtLElement",
+                    "IsExtRElement"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/module.gd",
+                "line": 430
+            }
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+            "1args": [],
+            "2args": [
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+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/module.gi",
+                        "line": 256
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ClosureLeftModule: method for a vector space with basis, and a vector",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "Tester(Basis)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gi",
+                        "line": 368
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "ClosureLeftModule: for free left module and vector",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "Tester(Basis)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modfree.gi",
+                        "line": 400
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "ClosureLeftModule: for left module and vector",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/module.gi",
+                        "line": 234
+                    },
+                    "rank": 29
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "LeftModuleByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ],
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsListOrCollection"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/module.gd",
+                "line": 452
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/module.gd",
+                "line": 454
+            }
+        ],
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+            "1args": [],
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+                    "comment": "LeftModuleByGenerators: for division ring and matrix over it",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 78
+                    },
+                    "rank": 82
+                },
+                {
+                    "comment": "LeftModuleByGenerators: for ring and collection",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/module.gi",
+                        "line": 35
+                    },
+                    "rank": 28
+                }
+            ],
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+                {
+                    "comment": "LeftModuleByGenerators: for division ring, matrix over it, and row vector",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 136
+                    },
+                    "rank": 94
+                },
+                {
+                    "comment": "LeftModuleByGenerators: for division ring, empty list, and row vector",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 102
+                    },
+                    "rank": 81
+                },
+                {
+                    "comment": "LeftModuleByGenerators: for ring, homogeneous list, and vector",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/module.gi",
+                        "line": 55
+                    },
+                    "rank": 30
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LeftModuleByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "UseBasis"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFreeLeftModule"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/module.gd",
+                "line": 489
+            }
+        ],
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "UseBasis: for a free left module and a homog. list",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modfree.gi",
+                        "line": 485
+                    },
+                    "rank": 27
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "UseBasis",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsFreeLeftModule"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/module.gd",
+                "line": 663
+            }
+        ],
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+            "1args": [
+                {
+                    "comment": "IsRowModule: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsRowModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/module.gd",
+                        "line": 663
+                    },
+                    "rank": 20026
+                },
+                {
+                    "comment": "IsRowModule: for a free left module",
+                    "filters": [
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+                        "file": "/home/makx/ac/gap/lib/basis.gd",
+                        "line": 427
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(StructureConstantsTable): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gd",
+                        "line": 427
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(StructureConstantsTable)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasStructureConstantsTable"
+        ],
+        "filters": [
+            [
+                [
+                    "IsBasis"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 427
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(StructureConstantsTable)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsBasis"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 458
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "UnderlyingLeftModule: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(UnderlyingLeftModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gd",
+                        "line": 458
+                    },
+                    "rank": 20010
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "UnderlyingLeftModule",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetUnderlyingLeftModule"
+        ],
+        "filters": [
+            [
+                [
+                    "IsBasis"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 458
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(UnderlyingLeftModule): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gd",
+                        "line": 458
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(UnderlyingLeftModule): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gd",
+                        "line": 458
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(UnderlyingLeftModule)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasUnderlyingLeftModule"
+        ],
+        "filters": [
+            [
+                [
+                    "IsBasis"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 458
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(UnderlyingLeftModule)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "Coefficients"
+        ],
+        "filters": [
+            [
+                [
+                    "IsBasis"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsExtLElement",
+                    "IsExtRElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 486
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Coefficients: for empty basis and vector",
+                    "filters": [
+                        [
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "IsBasis"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1392
+                    },
+                    "rank": 10025
+                },
+                {
+                    "comment": "Coefficients: for basis of a monomial space, and a vector",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsBasisOfMonomialSpaceRep"
+                        ],
+                        [
+                            "IsMonomialElement",
+                            "IsMonomialElementRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 1759
+                    },
+                    "rank": 10019
+                },
+                {
+                    "comment": "Coefficients: for basis of a sparse rowspace, and a vector",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsBasisOfSparseRowSpaceRep"
+                        ],
+                        [
+                            "IsSparseRowSpaceElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 3177
+                    },
+                    "rank": 10017
+                },
+                {
+                    "comment": "Coefficients: for canonical basis of a full matrix module",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsCanonicalBasisFullMatrixModule",
+                            "Tester(IsCanonicalBasisFullMatrixModule)"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modulmat.gi",
+                        "line": 324
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "Coefficients: for semi-ech. basis of a Gaussian matrix space, and a matrix",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsSemiEchelonBasisOfGaussianMatrixSpaceRep"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcmat.gi",
+                        "line": 232
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "Coefficients: for pseudo can. basis of full hom module, and lin. m.b.m.",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsPseudoCanonicalBasisFullHomModule",
+                            "Tester(IsPseudoCanonicalBasisFullHomModule)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsLinearMappingByMatrixDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 2119
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "Coefficients: For a FFE in Conway polynomial represntation wrt the canonical basis of its natural field",
+                    "filters": [
+                        [
+                            "IsCanonicalBasis",
+                            "Tester(IsCanonicalBasis)",
+                            "IsBasisFiniteFieldRep"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 1471
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "Coefficients: for canonical basis of cyclotomic field, and cyclotomic",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsCanonicalBasis",
+                            "Tester(IsCanonicalBasis)",
+                            "IsCanonicalBasisCyclotomicFieldRep"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 1641
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "Coefficients: for canonical basis of abelian number field, and cyclotomic",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsCanonicalBasis",
+                            "Tester(IsCanonicalBasis)",
+                            "IsCanonicalBasisAbelianNumberFieldRep"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 1396
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "Coefficients: for canon. basis of Gaussian integers, and cyclotomic",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsCanonicalBasis",
+                            "Tester(IsCanonicalBasis)",
+                            "IsCanonicalBasisGaussianIntegersRep"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gaussian.gi",
+                        "line": 108
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "Coefficients: for canonical basis of a full row module",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsCanonicalBasisFullRowModule",
+                            "Tester(IsCanonicalBasisFullRowModule)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modulrow.gi",
+                        "line": 267
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "Coefficients: for the canonical basis of Integers",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsCanonicalBasis",
+                            "Tester(IsCanonicalBasis)",
+                            "IsCanonicalBasisIntegersRep"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 147
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "Coefficients: for canon. basis of an algebraic extension, and alg. element",
+                    "filters": [
+                        [
+                            "IsCanonicalBasisAlgebraicExtension"
+                        ],
+                        [
+                            "IsAlgebraicElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 982
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "Coefficients: for semi-ech. basis of a Gaussian row space, and a row vector",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsSemiEchelonBasisOfGaussianRowSpaceRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 317
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "Coefficients: for canon. basis of a free magma ring, and a vector",
+                    "filters": [
+                        [
+                            "IsCanonicalBasisFreeMagmaRingRep"
+                        ],
+                        [
+                            "IsElementOfFreeMagmaRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 874
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "Coefficients: for a basis of a finite field, and a scalar",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsBasisFiniteFieldRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 550
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "Coefficients: for canon. basis of an algebraic extension, and scalar",
+                    "filters": [
+                        [
+                            "IsCanonicalBasisAlgebraicExtension"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 995
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "Coefficients: for canonical basis of full s. c. algebra",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsCanonicalBasisFullSCAlgebra",
+                            "Tester(IsCanonicalBasisFullSCAlgebra)"
+                        ],
+                        [
+                            "IsSCAlgebraObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 999
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "Coefficients: for basis handled by nice basis, and vector",
+                    "filters": [
+                        [
+                            "IsBasisByNiceBasis"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1017
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "Coefficients: for relative basis and vector",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsRelativeBasisDefaultRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 622
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "Coefficients: method for canonical basis of Rationals",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsCanonicalBasis",
+                            "Tester(IsCanonicalBasis)",
+                            "IsCanonicalBasisRationals"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rational.gi",
+                        "line": 127
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "Coefficients: for basis of weight rep elements, and algebra module element",
+                    "filters": [
+                        [
+                            "IsBasisOfWeightRepElementSpace"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsWeightRepElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 3223
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "Coefficients: for basis of a space of algebra module elements, and algebra module element",
+                    "filters": [
+                        [
+                            "IsBasisOfAlgebraModuleElementSpace"
+                        ],
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsAlgebraModuleElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 859
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "Coefficients: for a basis with replaced left module, and a vector",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsBasisWithReplacedLeftModuleRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1456
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "Coefficients: for pseudo canon. basis of a full hom module, and lin. mapping",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsPseudoCanonicalBasisFullHomModule",
+                            "Tester(IsPseudoCanonicalBasisFullHomModule)"
+                        ],
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 2092
+                    },
+                    "rank": 16
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Coefficients",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "LinearCombination"
+        ],
+        "filters": [
+            [
+                [
+                    "IsHomogeneousList"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 517
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "LinearCombination: for empty basis and empty list",
+                    "filters": [
+                        [
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "IsBasis"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1399
+                    },
+                    "rank": 10035
+                },
+                {
+                    "comment": "LinearCombination",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsSemiEchelonBasisOfGaussianRowSpaceRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 265
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "LinearCombination: for canonical basis of full s. c. algebra",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsCanonicalBasisFullSCAlgebra",
+                            "Tester(IsCanonicalBasisFullSCAlgebra)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 1011
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "LinearCombination: for a basis of a finite field, and a hom. list",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsBasisFiniteFieldRep"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 570
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "LinearCombination: for a basis with replaced left module, and a hom. list",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsBasisWithReplacedLeftModuleRep"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1468
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "LinearCombination: for a basis and a homogeneous list",
+                    "filters": [
+                        [
+                            "IsBasis"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 348
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "LinearCombination: for two lists",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 365
+                    },
+                    "rank": 4
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LinearCombination",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SiftedVector"
+        ],
+        "filters": [
+            [
+                [
+                    "IsBasis"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsExtLElement",
+                    "IsExtRElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 550
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "SiftedVector: for empty basis and vector",
+                    "filters": [
+                        [
+                            "IsEmpty",
+                            "Tester(IsEmpty)",
+                            "IsBasis"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1407
+                    },
+                    "rank": 10025
+                },
+                {
+                    "comment": "SiftedVector: for semi-ech. basis of Gaussian matrix space, and matrix",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsSemiEchelonBasisOfGaussianMatrixSpaceRep"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcmat.gi",
+                        "line": 300
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "SiftedVector: for mutable basis of Gaussian matrix space, and matrix",
+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisOfGaussianMatrixSpaceRep"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcmat.gi",
+                        "line": 1155
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "SiftedVector: for semi-ech. basis of Gaussian row space, and row vector",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsSemiEchelonBasisOfGaussianRowSpaceRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 367
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "SiftedVector: for mutable basis of Gaussian row space, and row vector",
+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisOfGaussianRowSpaceRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 1660
+                    },
+                    "rank": 15
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SiftedVector",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IteratorByBasis"
+        ],
+        "filters": [
+            [
+                [
+                    "IsBasis"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 587
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IteratorByBasis: for canonical basis of a full row module",
+                    "filters": [
+                        [
+                            "IsBasis",
+                            "IsCanonicalBasisFullRowModule",
+                            "Tester(IsCanonicalBasisFullRowModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modulrow.gi",
+                        "line": 722
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "IteratorByBasis: for basis of a finite dimensional left module",
+                    "filters": [
+                        [
+                            "IsBasis"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 482
+                    },
+                    "rank": 7
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IteratorByBasis",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsFreeLeftModule"
+                ]
+            ],
+            [
+                [
+                    "IsFreeLeftModule"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 636
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 637
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Basis: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Basis)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gd",
+                        "line": 636
+                    },
+                    "rank": 20026
+                },
+                {
+                    "comment": "Basis: for a free module of sparse row space elements",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "CategoryCollections(IsSparseRowSpaceElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 3140
+                    },
+                    "rank": 10028
+                },
+                {
+                    "comment": "Basis: for a space of monomial elements",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "CategoryCollections(IsMonomialElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 1721
+                    },
+                    "rank": 10028
+                },
+                {
+                    "comment": "Basis: for abelian number field of cyclotomics (delegate to `CanonicalBasis')",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 112
+                    },
+                    "rank": 2065
+                },
+                {
+                    "comment": "Basis: for a finite field (delegate to `CanonicalBasis')",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 112
+                    },
+                    "rank": 2058
+                },
+                {
+                    "comment": "Basis: for an algebraic extension (delegate to `CanonicalBasis')",
+                    "filters": [
+                        [
+                            "IsAlgebraicExtension"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 112
+                    },
+                    "rank": 2055
+                },
+                {
+                    "comment": "Basis: for full matrix module (delegate to `CanonicalBasis')",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsFullMatrixModule",
+                            "Tester(IsFullMatrixModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 112
+                    },
+                    "rank": 2048
+                },
+                {
+                    "comment": "Basis: for full row module (delegate to `CanonicalBasis')",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsFullRowModule",
+                            "Tester(IsFullRowModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 112
+                    },
+                    "rank": 2048
+                },
+                {
+                    "comment": "Basis: for Gaussian integers (delegate to `CanonicalBasis')",
+                    "filters": [
+                        [
+                            "IsGaussianIntegers"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 112
+                    },
+                    "rank": 2042
+                },
+                {
+                    "comment": "Basis: for full s. c. algebra (delegate to `CanonicalBasis')",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "CategoryCollections(IsSCAlgebraObj)",
+                            "IsFullSCAlgebra",
+                            "Tester(IsFullSCAlgebra)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 112
+                    },
+                    "rank": 2041
+                },
+                {
+                    "comment": "Basis: for integers (delegate to `CanonicalBasis')",
+                    "filters": [
+                        [
+                            "IsIntegers"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 112
+                    },
+                    "rank": 2039
+                },
+                {
+                    "comment": "Basis: for a free magma ring (delegate to `CanonicalBasis')",
+                    "filters": [
+                        [
+                            "IsFreeMagmaRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 112
+                    },
+                    "rank": 2036
+                },
+                {
+                    "comment": "Basis: for full hom space of linear mappings",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsFullHomModule",
+                            "Tester(IsFullHomModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 2144
+                    },
+                    "rank": 125
+                },
+                {
+                    "comment": "Basis: for an associative FLMLOR-with-one",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2892
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "Basis: for a Lie algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2925
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "Basis: for an associative FLMLOR",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2866
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "Basis: for a FLMLOR",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2837
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "Basis: for Gaussian matrix space (construct a semi-echelonized basis)",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsMatrixModule",
+                            "Tester(IsMatrixModule)",
+                            "IsGaussianSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 511
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "Basis: for Gaussian row space (construct a semi-echelonized basis)",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsRowModule",
+                            "Tester(IsRowModule)",
+                            "IsGaussianSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 511
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "Basis: for trivial free left module",
+                    "filters": [
+                        [
+                            "IsTrivial",
+                            "Tester(IsTrivial)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1289
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "Basis: for a space of weight rep elements",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "CategoryCollections(IsWeightRepElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 3186
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "Basis: for a space of algebra module elements",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "CategoryCollections(IsAlgebraModuleElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 842
+                    },
+                    "rank": 28
+                },
+                {
+                    "aka": [
+                        "BasisForFreeModuleByNiceBasis"
+                    ],
+                    "comment": "Basis: for free module that is handled by a nice basis",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsHandledByNiceBasis"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1077
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "Basis",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsFreeLeftModule",
+                            "Tester(CanonicalBasis)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 112
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "Basis: for an algebra module",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsAlgebraModule",
+                            "Tester(IsAlgebraModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 820
+                    },
+                    "rank": 25
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "Basis: for a space of monomial elements and a list of tensor elements",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "CategoryCollections(IsMonomialElement)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsMonomialElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 1667
+                    },
+                    "rank": 10048
+                },
+                {
+                    "comment": "Basis: for a free module of sparse row space elements, and list",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "CategoryCollections(IsSparseRowSpaceElement)"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 3106
+                    },
+                    "rank": 10032
+                },
+                {
+                    "comment": "Basis: for a finite field, and a hom. list",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 466
+                    },
+                    "rank": 87
+                },
+                {
+                    "comment": "Basis: for Gaussian row space and matrix (try semi-echelonized)",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsRowModule",
+                            "Tester(IsRowModule)",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 554
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "Basis: for a space of weight rep elements and a list of weight rep elements",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "CategoryCollections(IsWeightRepElement)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsWeightRepElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 3147
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "Basis: for a space of algebra module elements and a collection of algebra module elements",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "CategoryCollections(IsAlgebraModuleElement)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsAlgebraModuleElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 885
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "Basis: for free left module and empty list",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1312
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "Basis: for Gaussian matrix space and list of matrices (try semi-ech.)",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsMatrixModule",
+                            "Tester(IsMatrixModule)",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcmat.gi",
+                        "line": 468
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "Basis: for free module that is handled by a nice basis, and hom. list",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsHandledByNiceBasis"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1111
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "Basis: method returning a relative basis",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 638
+                    },
+                    "rank": 27
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Basis",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetBasis"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFreeLeftModule"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 636
+            }
+        ],
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+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(Basis): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gd",
+                        "line": 636
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(Basis): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gd",
+                        "line": 636
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(Basis)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasBasis"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFreeLeftModule"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 636
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(Basis)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "BasisNC"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFreeLeftModule"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 639
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "BasisNC: for a space of monomial elements and a list of monomial elements",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "CategoryCollections(IsMonomialElement)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsMonomialElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 1695
+                    },
+                    "rank": 10048
+                },
+                {
+                    "comment": "BasisNC: for a free module of sparse row space elements, and list",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "CategoryCollections(IsSparseRowSpaceElement)"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 3121
+                    },
+                    "rank": 10032
+                },
+                {
+                    "comment": "BasisNC: for a finite field, and a hom. list",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 518
+                    },
+                    "rank": 72
+                },
+                {
+                    "comment": "BasisNC: for Gaussian row space and matrix (try semi-echelonized)",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsRowModule",
+                            "Tester(IsRowModule)",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 588
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "BasisNC: for a space of weight rep elements and a list of weight rep elements",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "CategoryCollections(IsWeightRepElement)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsWeightRepElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 3165
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "BasisNC: for a space of algebra module elements and a collection of algebra module elements",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "CategoryCollections(IsAlgebraModuleElement)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsAlgebraModuleElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 896
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "BasisNC: for free left module and empty list",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1331
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "BasisNC: for Gaussian matrix space and list of matrices (try semi-ech.)",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsMatrixModule",
+                            "Tester(IsMatrixModule)",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcmat.gi",
+                        "line": 499
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "BasisNC: for free module that is handled by a nice basis, and hom. list",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsHandledByNiceBasis"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1134
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "BasisNC: method returning a relative basis",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 647
+                    },
+                    "rank": 27
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "BasisNC",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsFreeLeftModule"
+                ]
+            ],
+            [
+                [
+                    "IsFreeLeftModule"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 692
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 694
+            }
+        ],
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+                    "comment": "SemiEchelonBasis: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(SemiEchelonBasis)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gd",
+                        "line": 692
+                    },
+                    "rank": 20026
+                },
+                {
+                    "comment": "SemiEchelonBasis",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsMatrixModule",
+                            "Tester(IsMatrixModule)",
+                            "IsGaussianSpace",
+                            "Tester(CanonicalBasis)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 599
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "SemiEchelonBasis",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsRowModule",
+                            "Tester(IsRowModule)",
+                            "IsGaussianSpace",
+                            "Tester(CanonicalBasis)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 599
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "SemiEchelonBasis: for Gaussian matrix space",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsMatrixModule",
+                            "Tester(IsMatrixModule)",
+                            "IsGaussianSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcmat.gi",
+                        "line": 525
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "SemiEchelonBasis: for Gaussian row space",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsRowModule",
+                            "Tester(IsRowModule)",
+                            "IsGaussianSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 622
+                    },
+                    "rank": 30
+                }
+            ],
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+                {
+                    "comment": "SemiEchelonBasis: for Gaussian row space and matrix",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsRowModule",
+                            "Tester(IsRowModule)",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 668
+                    },
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+                },
+                {
+                    "comment": "SemiEchelonBasis: for free left module and empty list",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1355
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "SemiEchelonBasis: for Gaussian matrix space and list of matrices",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsMatrixModule",
+                            "Tester(IsMatrixModule)",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcmat.gi",
+                        "line": 565
+                    },
+                    "rank": 34
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+            [
+                [
+                    "IsFreeLeftModule"
+                ],
+                []
+            ]
+        ],
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+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 692
+            }
+        ],
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+            "1args": [],
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+                    "comment": "Setter(SemiEchelonBasis): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gd",
+                        "line": 692
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(SemiEchelonBasis): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gd",
+                        "line": 692
+                    },
+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+    {
+        "aka": [
+            "HasSemiEchelonBasis"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFreeLeftModule"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 692
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SemiEchelonBasisNC"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFreeLeftModule"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 697
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "SemiEchelonBasisNC: for Gaussian row space and matrix",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsRowModule",
+                            "Tester(IsRowModule)",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 697
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "SemiEchelonBasisNC: for free left module and empty list",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1375
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "SemiEchelonBasisNC: for Gaussian matrix space and list of matrices",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsMatrixModule",
+                            "Tester(IsMatrixModule)",
+                            "IsGaussianSpace"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcmat.gi",
+                        "line": 589
+                    },
+                    "rank": 34
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SemiEchelonBasisNC",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RelativeBasis"
+        ],
+        "filters": [
+            [
+                [
+                    "IsBasis"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 730
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "RelativeBasis: for a basis and a homogeneous list",
+                    "filters": [
+                        [
+                            "IsBasis"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 164
+                    },
+                    "rank": 11
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RelativeBasis",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RelativeBasisNC"
+        ],
+        "filters": [
+            [
+                [
+                    "IsBasis"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 731
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "RelativeBasisNC: for a basis and a homogeneous list",
+                    "filters": [
+                        [
+                            "IsBasis"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 199
+                    },
+                    "rank": 11
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RelativeBasisNC",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsBasisByNiceBasis"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 1064
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NiceBasis: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NiceBasis)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gd",
+                        "line": 1064
+                    },
+                    "rank": 20016
+                },
+                {
+                    "comment": "NiceBasis: for basis by nice basis",
+                    "filters": [
+                        [
+                            "IsBasisByNiceBasis"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 947
+                    },
+                    "rank": 13
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NiceBasis",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetNiceBasis"
+        ],
+        "filters": [
+            [
+                [
+                    "IsBasisByNiceBasis"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 1064
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(NiceBasis): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gd",
+                        "line": 1064
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(NiceBasis): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gd",
+                        "line": 1064
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(NiceBasis)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasNiceBasis"
+        ],
+        "filters": [
+            [
+                [
+                    "IsBasisByNiceBasis"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 1064
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(NiceBasis)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "NiceBasisNC"
+        ],
+        "filters": [
+            [
+                [
+                    "IsBasisByNiceBasis"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 1083
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NiceBasisNC: for basis by nice basis with precomputed basis",
+                    "filters": [
+                        [
+                            "IsBasisByNiceBasis",
+                            "Tester(NiceBasis)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 957
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "NiceBasisNC: for basis by nice basis",
+                    "filters": [
+                        [
+                            "IsBasisByNiceBasis"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 973
+                    },
+                    "rank": 13
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NiceBasisNC",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsFreeLeftModule"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 1102
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NiceFreeLeftModule: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NiceFreeLeftModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gd",
+                        "line": 1102
+                    },
+                    "rank": 20026
+                },
+                {
+                    "comment": "NiceFreeLeftModule: for associative FLMLOR that is handled by a nice basis",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsHandledByNiceBasis"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1228
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "NiceFreeLeftModule: for commutative FLMLOR that is handled by a nice basis",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsHandledByNiceBasis"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1238
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "NiceFreeLeftModule: for anticommutative FLMLOR that is handled by a nice basis",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsAnticommutative",
+                            "Tester(IsAnticommutative)",
+                            "IsFreeLeftModule",
+                            "IsHandledByNiceBasis"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1233
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "NiceFreeLeftModule: for FLMLOR that is handled by a nice basis",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsHandledByNiceBasis"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1223
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "NiceFreeLeftModule: for full hom space of linear mappings",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsGeneralMapping)",
+                            "IsFreeLeftModule",
+                            "IsFullHomModule",
+                            "Tester(IsFullHomModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1973
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "NiceFreeLeftModule: for free module that is handled by a nice basis",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsHandledByNiceBasis",
+                            "Tester(GeneratorsOfLeftOperatorAdditiveGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1167
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "NiceFreeLeftModule: for generic finite space (use that this is a full row module)",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsGenericFiniteSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 825
+                    },
+                    "rank": 27
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NiceFreeLeftModule",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetNiceFreeLeftModule"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFreeLeftModule"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 1102
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(NiceFreeLeftModule): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gd",
+                        "line": 1102
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(NiceFreeLeftModule): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gd",
+                        "line": 1102
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(NiceFreeLeftModule)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasNiceFreeLeftModule"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFreeLeftModule"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 1102
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(NiceFreeLeftModule)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsFreeLeftModule",
+                    "IsHandledByNiceBasis"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basis.gd",
+                "line": 1122
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NiceFreeLeftModuleInfo: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NiceFreeLeftModuleInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gd",
+                        "line": 1122
+                    },
+                    "rank": 20027
+                },
+                {
+                    "comment": "NiceFreeLeftModuleInfo: for left module in `IsLinearMappingsModule'",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsLinearMappingsModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
+                        "line": 1715
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "NiceFreeLeftModuleInfo: for left module in `IsClassFunctionsSpace'",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsClassFunctionsSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 4895
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "NiceFreeLeftModuleInfo: for left module in `IsFieldElementsSpace'",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsFieldElementsSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 1007
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "NiceFreeLeftModuleInfo: for left module in `IsCochainsSpace'",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsCochainsSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 438
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "NiceFreeLeftModuleInfo: for left module in `IsDirectSumElementsSpace'",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsDirectSumElementsSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcmat.gi",
+                        "line": 136
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "NiceFreeLeftModuleInfo: for left module in `IsLieObjectsModule'",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsLieObjectsModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcmat.gi",
+                        "line": 136
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "NiceFreeLeftModuleInfo: for left module in `IsSCAlgebraObjSpace'",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsSCAlgebraObjSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 708
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "NiceFreeLeftModuleInfo: for left module in `IsSpaceOfUEAElements'",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsSpaceOfUEAElements"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 3639
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "NiceFreeLeftModuleInfo: for left module in `IsFpAlgebraElementsSpace'",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsFpAlgebraElementsSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 708
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "NiceFreeLeftModuleInfo: for left module in `IsSpaceOfElementsOfMagmaRing'",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsSpaceOfElementsOfMagmaRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 1483
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "NiceFreeLeftModuleInfo: for left module in `IsNonGaussianMatrixSpace'",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsNonGaussianMatrixSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcmat.gi",
+                        "line": 136
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "NiceFreeLeftModuleInfo: for left module in `IsNonGaussianRowSpace'",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsNonGaussianRowSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 227
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "NiceFreeLeftModuleInfo: for left module in `IsSpaceOfRationalFunctions'",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsSpaceOfRationalFunctions"
+                        ]
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+                    "comment": "MutableBasis: method to construct mutable bases of row spaces",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 1471
+                    },
+                    "rank": 40
+                },
+                {
+                    "aka": [
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+                    ],
+                    "comment": "MutableBasis: for ring, (possibly empty) list, and Lie zero",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsLieObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 986
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "MutableBasis: for ring, (possibly empty) list, and zero element",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsSCAlgebraObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 986
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "MutableBasis: for ring, list and zero",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsAlgebraModuleElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 532
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "MutableBasis: generic method for ring, list, and object",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basismut.gi",
+                        "line": 142
+                    },
+                    "rank": 28
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "MutableBasis",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "NrBasisVectors"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMutableBasis"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basismut.gd",
+                "line": 170
+            }
+        ],
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+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NrBasisVectors: for mutable basis represented by a nice mutable basis",
+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisViaNiceMutableBasisRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basismut.gi",
+                        "line": 393
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "NrBasisVectors: generic method for mutable basis",
+                    "filters": [
+                        [
+                            "IsMutableBasis"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basismut.gi",
+                        "line": 42
+                    },
+                    "rank": 1
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NrBasisVectors",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ImmutableBasis"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMutableBasis"
+                ]
+            ],
+            [
+                [
+                    "IsMutableBasis"
+                ],
+                [
+                    "IsFreeLeftModule"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basismut.gd",
+                "line": 205
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/basismut.gd",
+                "line": 207
+            }
+        ],
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+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ImmutableBasis: for a mutable basis of a Gaussian matrix space",
+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisOfGaussianMatrixSpaceRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcmat.gi",
+                        "line": 1174
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "ImmutableBasis: for a mutable basis of a Gaussian row space",
+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisOfGaussianRowSpaceRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 1643
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "ImmutableBasis: for mutable basis represented by a nice mutable basis",
+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisViaNiceMutableBasisRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basismut.gi",
+                        "line": 480
+                    },
+                    "rank": 3
+                },
+                {
+                    "comment": "ImmutableBasis: for mutable basis represented by an immutable basis",
+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisByImmutableBasisRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basismut.gi",
+                        "line": 233
+                    },
+                    "rank": 3
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "ImmutableBasis: for mutable basis, and free left module",
+                    "filters": [
+                        [
+                            "IsMutableBasis"
+                        ],
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basismut.gi",
+                        "line": 79
+                    },
+                    "rank": 24
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CloseMutableBasis"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMutable",
+                    "IsMutableBasis"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsExtLElement",
+                    "IsExtRElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basismut.gd",
+                "line": 244
+            }
+        ],
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+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "CloseMutableBasis: for a mut. basis of a Gaussian matrix space, and a matrix",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsMutableBasis",
+                            "IsMutableBasisOfGaussianMatrixSpaceRep"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcmat.gi",
+                        "line": 1084
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "CloseMutableBasis: for a mut. basis of a Gaussian row space, and a row vector",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsMutableBasis",
+                            "IsMutableBasisOfGaussianRowSpaceRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 1576
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "CloseMutableBasis: for mutable basis with underlying mutable basis, and vector",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsMutableBasis",
+                            "IsMutableBasisViaUnderlyingMutableBasisRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 573
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "CloseMutableBasis: for mutable basis repres. by a nice mutable basis, and vector",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsMutableBasis",
+                            "IsMutableBasisViaNiceMutableBasisRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basismut.gi",
+                        "line": 423
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "CloseMutableBasis: for mutable basis represented by an immutable basis, and vector",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsMutableBasis",
+                            "IsMutableBasisByImmutableBasisRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basismut.gi",
+                        "line": 209
+                    },
+                    "rank": 12
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CloseMutableBasis",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsContainedInSpan"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMutableBasis"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsExtLElement",
+                    "IsExtRElement"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/basismut.gd",
+                "line": 264
+            }
+        ],
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+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsContainedInSpan: for a mut. basis of a Gaussian matrix space, and a matrix",
+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisOfGaussianMatrixSpaceRep"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcmat.gi",
+                        "line": 1136
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "IsContainedInSpan: for a mut. basis of a Gaussian row space, and a row vector",
+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisOfGaussianRowSpaceRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 1624
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "IsContainedInSpan: for mutable basis with underlying mutable basis, and vector",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsMutableBasis",
+                            "IsMutableBasisViaUnderlyingMutableBasisRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 584
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "IsContainedInSpan: for mutable basis repres. by a nice mutable basis, and vector",
+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisViaNiceMutableBasisRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basismut.gi",
+                        "line": 441
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "IsContainedInSpan: for mutable basis represented by an immutable basis, and vector",
+                    "filters": [
+                        [
+                            "IsMutableBasis",
+                            "IsMutableBasisByImmutableBasisRep"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basismut.gi",
+                        "line": 222
+                    },
+                    "rank": 10
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsContainedInSpan",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsFreeLeftModule"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/vspc.gd",
+                "line": 239
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "CanonicalBasis: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(CanonicalBasis)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gd",
+                        "line": 239
+                    },
+                    "rank": 20026
+                },
+                {
+                    "comment": "CanonicalBasis: for Rationals",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing",
+                            "IsPrimeField",
+                            "Tester(IsPrimeField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rational.gi",
+                        "line": 115
+                    },
+                    "rank": 69
+                },
+                {
+                    "comment": "CanonicalBasis: for cyclotomic field of cyclotomics",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsCyclotomicField",
+                            "Tester(IsCyclotomicField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 1568
+                    },
+                    "rank": 67
+                },
+                {
+                    "comment": "CanonicalBasis: for abelian number field of cyclotomics",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 1322
+                    },
+                    "rank": 65
+                },
+                {
+                    "comment": "CanonicalBasis: for a finite field",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 594
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "CanonicalBasis: for an algebraic extension",
+                    "filters": [
+                        [
+                            "IsAlgebraicExtension"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 955
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": "CanonicalBasis: for a full row space",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsFullRowModule",
+                            "Tester(IsFullRowModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 1160
+                    },
+                    "rank": 51
+                },
+                {
+                    "comment": "CanonicalBasis: for full matrix space",
+                    "filters": [
+                        [
+                            "IsFullMatrixModule",
+                            "Tester(IsFullMatrixModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcmat.gi",
+                        "line": 802
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "CanonicalBasis",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsFullMatrixModule",
+                            "Tester(IsFullMatrixModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modulmat.gi",
+                        "line": 293
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "CanonicalBasis: for a full row module",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsFullRowModule",
+                            "Tester(IsFullRowModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/modulrow.gi",
+                        "line": 237
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "CanonicalBasis: for Gaussian integers",
+                    "filters": [
+                        [
+                            "IsGaussianIntegers"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gaussian.gi",
+                        "line": 77
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "CanonicalBasis: for full s. c. algebras",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "CategoryCollections(IsSCAlgebraObj)",
+                            "IsFullSCAlgebra",
+                            "Tester(IsFullSCAlgebra)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 1055
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "CanonicalBasis: for Integers",
+                    "filters": [
+                        [
+                            "IsIntegers"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 134
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "CanonicalBasis: for a free magma ring",
+                    "filters": [
+                        [
+                            "IsFreeMagmaRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/mgmring.gi",
+                        "line": 920
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "CanonicalBasis: for Gaussian row space with known semi-ech. basis",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsRowModule",
+                            "Tester(IsRowModule)",
+                            "Tester(SemiEchelonBasis)",
+                            "IsGaussianSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 1028
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "CanonicalBasis: for algebra module",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "CategoryCollections(IsAlgebraModuleElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 156
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "CanonicalBasis: for Gaussian matrix space",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsMatrixModule",
+                            "Tester(IsMatrixModule)",
+                            "IsGaussianSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcmat.gi",
+                        "line": 730
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "CanonicalBasis: for Gaussian row space",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsRowModule",
+                            "Tester(IsRowModule)",
+                            "IsGaussianSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 1089
+                    },
+                    "rank": 30
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsFreeLeftModule",
+                            "IsHandledByNiceBasis"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 1041
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "CanonicalBasis: default method, return `fail'",
+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/basis.gi",
+                        "line": 322
+                    },
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+        "aka": [
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+            [
+                [
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+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/vspc.gd",
+                "line": 239
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gd",
+                        "line": 239
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(CanonicalBasis): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gd",
+                        "line": 239
+                    },
+                    "rank": 0
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+            [
+                [
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+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/vspc.gd",
+                "line": 239
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+            "5args": [],
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+        "filters": [
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+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/vspc.gd",
+                "line": 414
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+                    "comment": "NormedRowVectors: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NormedRowVectors)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gd",
+                        "line": 414
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+                    "rank": 20029
+                },
+                {
+                    "comment": "NormedRowVectors: for Gaussian row space",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsRowModule",
+                            "Tester(IsRowModule)",
+                            "IsGaussianSpace"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 954
+                    },
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+            "3args": [],
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+            "5args": [],
+            "6args": []
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+                ],
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+                "file": "/home/makx/ac/gap/lib/vspc.gd",
+                "line": 414
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+                    "comment": "Setter(NormedRowVectors): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gd",
+                        "line": 414
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(NormedRowVectors): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gd",
+                        "line": 414
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+                    "rank": 0
+                }
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+            [
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+                ]
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+            {
+                "file": "/home/makx/ac/gap/lib/vspc.gd",
+                "line": 414
+            }
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
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+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)"
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+                [
+                    "IsCollection"
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+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/vspc.gd",
+                "line": 586
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+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ],
+                        [
+                            "IsCollection"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gi",
+                        "line": 87
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+            [
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+                    "IsExtLSet",
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+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)"
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+            ],
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)"
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+                [
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+        "locations": [
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+                "line": 757
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+                "file": "/home/makx/ac/gap/lib/vspc.gd",
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Subspaces)"
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+                        "file": "/home/makx/ac/gap/lib/vspc.gd",
+                        "line": 757
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+                    "rank": 20025
+                },
+                {
+                    "comment": "Subspaces",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsFullRowModule",
+                            "Tester(IsFullRowModule)"
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+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 1370
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
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+                    ],
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+                        "file": "/home/makx/ac/gap/lib/vspc.gi",
+                        "line": 615
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gd",
+                        "line": 757
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+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsFullRowModule",
+                            "Tester(IsFullRowModule)"
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+                        [
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+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 1347
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+                },
+                {
+                    "comment": "Subspaces: for (Gaussian) full row space",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsFullRowModule",
+                            "Tester(IsFullRowModule)"
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+                        [
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+                        "file": "/home/makx/ac/gap/lib/vspcrow.gi",
+                        "line": 1354
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ],
+                        [
+                            "IsInt"
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+                        "file": "/home/makx/ac/gap/lib/vspc.gi",
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+            "4args": [],
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+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)"
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+                "file": "/home/makx/ac/gap/lib/vspc.gd",
+                "line": 757
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+                    "filters": [
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+                        "line": 757
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+                    "rank": 2
+                },
+                {
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+                    "filters": [
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+                        "line": 757
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+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)"
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+                "file": "/home/makx/ac/gap/lib/vspc.gd",
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+    },
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+                "line": 794
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+            "1args": [
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+                    "comment": "OrthogonalSpaceInFullRowSpace: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(OrthogonalSpaceInFullRowSpace)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspc.gd",
+                        "line": 794
+                    },
+                    "rank": 20029
+                },
+                {
+                    "comment": "OrthogonalSpaceInFullRowSpace: dual space for Gaussian row space",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsRowModule",
+                            "Tester(IsRowModule)",
+                            "IsGaussianSpace"
+                        ]
+                    ],
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+            "3args": [],
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                ],
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+                "line": 794
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
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+                        "line": 794
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+                },
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+                    "filters": [
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+                        []
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+                        "line": 794
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+            [
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+                "line": 816
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+                    "comment": "IsVectorSpaceHomomorphism: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsVectorSpaceHomomorphism)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 816
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+                },
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+                    "filters": [
+                        [
+                            "IsGeneralMapping"
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+                    ],
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+            "6args": []
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+                [
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+                    "filters": [
+                        [
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+                    "filters": [
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+            "6args": []
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+                    "IsAssociativeLOpEProd",
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+                    "IsDistributiveLOpESum",
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+                    "IsNearAdditiveGroup",
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+                    "IsDistributiveLOpDSum",
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+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
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+                [
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+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsHomogeneousList"
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+            "6args": []
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+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)"
+                ],
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)"
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+                [
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+                ],
+                [
+                    "IsList"
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+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(AsLeftModuleGeneralMappingByImages)"
+                        ]
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+                        "line": 134
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+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)",
+                            "IsAlgebraGeneralMappingByImagesDefaultRep"
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+                {
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+                    "filters": [
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+                            "IsGeneralMapping",
+                            "RespectsAddition",
+                            "Tester(RespectsAddition)",
+                            "RespectsAdditiveInverses",
+                            "Tester(RespectsAdditiveInverses)",
+                            "RespectsScalarMultiplication",
+                            "Tester(RespectsScalarMultiplication)",
+                            "IsLinearGeneralMappingByImagesDefaultRep"
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+                    ],
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+            "6args": []
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+                    "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
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+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
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+                    "filters": [
+                        [
+                            "IsBasis"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
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+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
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+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
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+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)"
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+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsTrivial",
+                            "Tester(IsTrivial)",
+                            "IsFreeLeftModule"
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+                    "filters": [
+                        [
+                            "IsFreeLeftModule"
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+                        [
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+            "6args": []
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsFullHomModule)"
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+                        "line": 245
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+                {
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+                    "filters": [
+                        [
+                            "CategoryCollections(IsGeneralMapping)",
+                            "IsFreeLeftModule"
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+            "5args": [],
+            "6args": []
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+    },
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+            [
+                [
+                    "IsBasis"
+                ]
+            ]
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+                "line": 272
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+                {
+                    "comment": "IsPseudoCanonicalBasisFullHomModule: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsPseudoCanonicalBasisFullHomModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gd",
+                        "line": 272
+                    },
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+                },
+                {
+                    "comment": "IsPseudoCanonicalBasisFullHomModule: for a basis of a full hom module",
+                    "filters": [
+                        [
+                            "IsBasis"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vspchom.gi",
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+            [
+                [
+                    "IsBasis"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/vspchom.gd",
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
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+                        "file": "/home/makx/ac/gap/lib/vspchom.gd",
+                        "line": 272
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+                    "filters": [
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+                        []
+                    ],
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+            "5args": [],
+            "6args": []
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+            [
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+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
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+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
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+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)"
+                ],
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+                    "IsExtLSet",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
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+                    "IsLeftActedOnByRing",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
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+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
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+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
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+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
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+                        ],
+                        [
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
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+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
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+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
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+                    "IsLeftActedOnByRing",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)"
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+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
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+                        [
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+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
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+                            "IsExtLElement",
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+                        [
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+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
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+                            "IsExtLElement",
+                            "IsExtRElement",
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+                        [
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+                        ],
+                        [
+                            "IsHomogeneousList"
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+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
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+                        ],
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+                        "line": 584
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+                            "Tester(IsSimpleAlgebra)"
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+                        "line": 211
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+                },
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+                            "IsAssociativeLOpDProd",
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+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
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+                            "Tester(IsJacobianRing)",
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+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
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+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
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+                            "IsAssociativeLOpDProd",
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+                            "IsDistributiveLOpDSum",
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+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
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+                            "IsNearAdditiveGroup"
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+                    ],
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+                        "line": 211
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+                        "line": 211
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+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 1544
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
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+                        "line": 520
+                    },
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+                }
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+            "3args": [],
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+            [
+                [
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+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algebra.gd",
+                "line": 520
+            }
+        ],
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+            "1args": [],
+            "2args": [
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gd",
+                        "line": 520
+                    },
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+                },
+                {
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+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gd",
+                        "line": 520
+                    },
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+            "5args": [],
+            "6args": []
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+            [
+                [
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+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algebra.gd",
+                "line": 520
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+            "5args": [],
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+                [
+                    "IsFreeLeftModule"
+                ]
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+                "file": "/home/makx/ac/gap/lib/algebra.gd",
+                "line": 553
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+                    "filters": [
+                        [
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+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
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+                            "Tester(IsTwoSidedIdealInParent)"
+                        ],
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+                            "IsAssociativeLOpEProd",
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+                            "IsTrivialLOpEOne",
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+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
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+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
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+                            "IsLDistributive",
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+                            "Tester(IsTwoSidedIdealInParent)"
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+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
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+                        [
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+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
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+                    },
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+                },
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+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsFreeLeftModule"
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+                    ],
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+            "4args": [],
+            "5args": [],
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+                    "filters": [
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+                            "IsDenseList"
+                        ]
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+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
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+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
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+                            "IsDistributiveLOpESum",
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+                            "Tester(IsZeroSquaredRing)",
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+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
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+                            "Tester(IsZeroSquaredRing)",
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+                            "Tester(IsRDistributive)",
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+                            "Tester(IsRDistributive)",
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+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
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+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
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+                        [
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+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
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+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
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+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
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+                            "Tester(IsAdditivelyCommutative)",
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+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
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+                            "IsDistributiveLOpDSum",
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+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
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+                            "IsMagmaWithInversesIfNonzero",
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+                            "IsNearAdditiveGroup",
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+                            "Tester(IsLDistributive)",
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+                            "Tester(IsLeftActedOnByDivisionRing)",
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+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
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+                },
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
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+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
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+                        [
+                            "IsCollection"
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+        "type": "GAP_Operation"
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+                    "Tester(IsLDistributive)",
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+                    "Tester(IsRDistributive)"
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+                [
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+                            "IsLeftActedOnByDivisionRing",
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+                            "IsNearAdditiveMagma",
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+                },
+                {
+                    "comment": "AsFLMLORWithOne: for a division ring and an algebra",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1436
+                    },
+                    "rank": 86
+                },
+                {
+                    "comment": "AsFLMLORWithOne: for a division ring and a free left module",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1375
+                    },
+                    "rank": 75
+                },
+                {
+                    "comment": "AsFLMLORWithOne: for a ring and a collection",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1305
+                    },
+                    "rank": 28
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AsFLMLORWithOne",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AsSubFLMLOR",
+            "AsSubalgebra"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ],
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algebra.gd",
+                "line": 699
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "AsSubFLMLOR: for an algebra and an algebra-with-one",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2182
+                    },
+                    "rank": 75
+                },
+                {
+                    "comment": "AsSubFLMLOR: for two algebras",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2152
+                    },
+                    "rank": 72
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AsSubFLMLOR",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AsSubFLMLORWithOne",
+            "AsSubalgebraWithOne"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ],
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algebra.gd",
+                "line": 729
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "AsSubFLMLORWithOne: for an algebra and a algebra-with-one",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2233
+                    },
+                    "rank": 75
+                },
+                {
+                    "comment": "AsSubFLMLORWithOne: for two algebras",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 2210
+                    },
+                    "rank": 72
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AsSubFLMLORWithOne",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ClosureAlgebra",
+            "ClosureLeftOperatorRing"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algebra.gd",
+                "line": 982
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ClosureLeftOperatorRing: for a FLMLOR containing the whole family, and a ring element",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1573
+                    },
+                    "rank": 10044
+                },
+                {
+                    "comment": "ClosureLeftOperatorRing: for a left op. ring cont. the whole family, and a collection",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1613
+                    },
+                    "rank": 10033
+                },
+                {
+                    "comment": "ClosureLeftOperatorRing: for two left operator rings-with-one",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1604
+                    },
+                    "rank": 64
+                },
+                {
+                    "comment": "ClosureLeftOperatorRing: for two left operator rings",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1591
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "ClosureLeftOperatorRing: for a FLMLOR-with-one with basis, and a ring element",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "Tester(Basis)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1564
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "ClosureLeftOperatorRing: for a FLMLOR-with-one and a ring element",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1546
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "ClosureLeftOperatorRing: for an FLMLOR with basis, and a ring element",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "Tester(Basis)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1528
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "ClosureLeftOperatorRing: for a FLMLOR and a ring element",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1509
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "ClosureLeftOperatorRing: for left operator ring and list of elements",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 1630
+                    },
+                    "rank": 31
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ClosureLeftOperatorRing",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AlgebraByGenerators",
+            "FLMLORByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algebra.gd",
+                "line": 1163
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "aka": [
+                        "FLMLORFromFFE"
+                    ],
+                    "comment": "FLMLORByGenerators: for a field, and a collection of FFE",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 1109
+                    },
+                    "rank": 441
+                },
+                {
+                    "comment": "FLMLORByGenerators: for division ring and list of Lie matrices over it",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsLieObject)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 340
+                    },
+                    "rank": 75
+                },
+                {
+                    "comment": "FLMLORByGenerators: for division ring and list of ordinary matrices over it",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 210
+                    },
+                    "rank": 57
+                },
+                {
+                    "comment": "FLMLORByGenerators: for ring and collection",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 53
+                    },
+                    "rank": 28
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "FLMLORByGenerators: for division ring, list of Lie matrices over it, and Lie matrix",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsLieObject)"
+                        ],
+                        [
+                            "IsLieMatrix",
+                            "IsLieObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 418
+                    },
+                    "rank": 109
+                },
+                {
+                    "comment": "FLMLORByGenerators: for division ring, empty list, and Lie matrix",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsLieMatrix",
+                            "IsLieObject"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 370
+                    },
+                    "rank": 103
+                },
+                {
+                    "comment": "FLMLORByGenerators: for division ring, empty list, and square ordinary matrix",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsOrdinaryMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 240
+                    },
+                    "rank": 101
+                },
+                {
+                    "comment": "FLMLORByGenerators: for division ring, list of matrices over it, and ordinary matrix",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ],
+                        [
+                            "IsOrdinaryMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 289
+                    },
+                    "rank": 89
+                },
+                {
+                    "comment": "FLMLORByGenerators: for ring, homogeneous list, and ring element",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 74
+                    },
+                    "rank": 38
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "FLMLORByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AlgebraWithOneByGenerators",
+            "FLMLORWithOneByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algebra.gd",
+                "line": 1280
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "FLMLORWithOneByGenerators: for a field, and a collection of FFE",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 1115
+                    },
+                    "rank": 441
+                },
+                {
+                    "comment": "FLMLORWithOneByGenerators: for division ring and list of ordinary matrices over it",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 471
+                    },
+                    "rank": 57
+                },
+                {
+                    "comment": "FLMLORWithOneByGenerators: for ring and collection",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 95
+                    },
+                    "rank": 28
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "FLMLORWithOneByGenerators: for division ring, empty list, and square ordinary matrix",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsOrdinaryMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 500
+                    },
+                    "rank": 101
+                },
+                {
+                    "comment": "FLMLORWithOneByGenerators: for division ring, list of matrices over it, and ordinary matrix",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsList",
+                            "IsCollection"
+                        ],
+                        [
+                            "IsOrdinaryMatrix"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algmat.gi",
+                        "line": 550
+                    },
+                    "rank": 89
+                },
+                {
+                    "comment": "FLMLORWithOneByGenerators: for ring, homogeneous list, and ring element",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algebra.gi",
+                        "line": 111
+                    },
+                    "rank": 38
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "FLMLORWithOneByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
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+                        [
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+                            "IsAdditiveElement",
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+                        ],
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+                        ],
+                        [
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+                            "IsAttributeStoringRep",
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+                "line": 599
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+            "5args": [],
+            "6args": []
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+                        "file": "/home/makx/ac/gap/lib/algfp.gd",
+                        "line": 168
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(NiceNormalFormByExtRepFunction)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasNiceNormalFormByExtRepFunction"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algfp.gd",
+                "line": 168
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(NiceNormalFormByExtRepFunction)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsSubalgebraFpAlgebra"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algfp.gd",
+                "line": 206
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NiceAlgebraMonomorphism: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NiceAlgebraMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gd",
+                        "line": 206
+                    },
+                    "rank": 20040
+                },
+                {
+                    "comment": "NiceAlgebraMonomorphism: for a full f.p. associative FLMLOR (call `IsomorphismMatrixFLMLOR')",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsSubalgebraFpAlgebra",
+                            "IsFullFpAlgebra",
+                            "Tester(IsFullFpAlgebra)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 634
+                    },
+                    "rank": 49
+                },
+                {
+                    "comment": "NiceAlgebraMonomorphism: for a f.p. Lie algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)",
+                            "IsSubalgebraFpAlgebra"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 5452
+                    },
+                    "rank": 43
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NiceAlgebraMonomorphism",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetNiceAlgebraMonomorphism"
+        ],
+        "filters": [
+            [
+                [
+                    "IsSubalgebraFpAlgebra"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algfp.gd",
+                "line": 206
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(NiceAlgebraMonomorphism): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gd",
+                        "line": 206
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(NiceAlgebraMonomorphism): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gd",
+                        "line": 206
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(NiceAlgebraMonomorphism)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasNiceAlgebraMonomorphism"
+        ],
+        "filters": [
+            [
+                [
+                    "IsSubalgebraFpAlgebra"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algfp.gd",
+                "line": 206
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(NiceAlgebraMonomorphism)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 62
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsLieAbelian: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsLieAbelian)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 62
+                    },
+                    "rank": 20045
+                },
+                {
+                    "comment": "IsLieAbelian: for a Lie algebra with known basis",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)",
+                            "Tester(Basis)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 189
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "IsLieAbelian: for a Lie algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 222
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "IsLieAbelian: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 62
+                    },
+                    "rank": -55
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsLieAbelian",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsLieAbelian"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 62
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsLieAbelian): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 62
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsLieAbelian): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 62
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsLieAbelian)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 62
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsLieAbelian)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 87
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsLieNilpotent: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsLieNilpotent)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 87
+                    },
+                    "rank": 20045
+                },
+                {
+                    "comment": "IsLieNilpotent: for a Lie algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 150
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "IsLieNilpotent: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 87
+                    },
+                    "rank": -55
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsLieNilpotent",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsLieNilpotent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 87
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsLieNilpotent): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 87
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsLieNilpotent): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 87
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsLieNilpotent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 87
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsLieNilpotent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 114
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsRestrictedLieAlgebra: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsRestrictedLieAlgebra)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 114
+                    },
+                    "rank": 20045
+                },
+                {
+                    "comment": "IsRestrictedLieAlgebra: for a Lie algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 983
+                    },
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+                },
+                {
+                    "comment": "IsRestrictedLieAlgebra: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 114
+                    },
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+                }
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
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+        "aka": [
+            "SetIsRestrictedLieAlgebra"
+        ],
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+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 114
+            }
+        ],
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsRestrictedLieAlgebra): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 114
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsRestrictedLieAlgebra): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 114
+                    },
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+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 114
+            }
+        ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 137
+            }
+        ],
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+            "1args": [
+                {
+                    "comment": "LieDerivedSubalgebra: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(LieDerivedSubalgebra)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 137
+                    },
+                    "rank": 20045
+                },
+                {
+                    "comment": "LieDerivedSubalgebra: for a Lie algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 88
+                    },
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+                },
+                {
+                    "comment": "LieDerivedSubalgebra: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
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+            "5args": [],
+            "6args": []
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+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ],
+                []
+            ]
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+                "file": "/home/makx/ac/gap/lib/alglie.gd",
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+            }
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
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+                        "line": 137
+                    },
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+                },
+                {
+                    "comment": "Setter(LieDerivedSubalgebra): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 137
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+            "4args": [],
+            "5args": [],
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+        ],
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+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/alglie.gd",
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
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+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
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+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 162
+            }
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+                {
+                    "comment": "LieDerivedSeries: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(LieDerivedSeries)"
+                        ]
+                    ],
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+                        "line": 162
+                    },
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+                },
+                {
+                    "comment": "LieDerivedSeries: for a Lie algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 114
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "LieDerivedSeries: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 162
+                    },
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+                }
+            ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetLieDerivedSeries"
+        ],
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+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ],
+                []
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 162
+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 162
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(LieDerivedSeries): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 162
+                    },
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+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasLieDerivedSeries"
+        ],
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+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 162
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 187
+            }
+        ],
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+                {
+                    "comment": "IsLieSolvable: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsLieSolvable)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 187
+                    },
+                    "rank": 20045
+                },
+                {
+                    "comment": "IsLieSolvable: for a Lie algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 131
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "IsLieSolvable: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 187
+                    },
+                    "rank": -55
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsLieSolvable",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsLieSolvable"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 187
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsLieSolvable): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 187
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsLieSolvable): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 187
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsLieSolvable)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 187
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsLieSolvable)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 211
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "LieLowerCentralSeries: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(LieLowerCentralSeries)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 211
+                    },
+                    "rank": 20045
+                },
+                {
+                    "comment": "LieLowerCentralSeries: for a Lie algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 71
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "LieLowerCentralSeries: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 211
+                    },
+                    "rank": -55
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LieLowerCentralSeries",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetLieLowerCentralSeries"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 211
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(LieLowerCentralSeries): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 211
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(LieLowerCentralSeries): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 211
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(LieLowerCentralSeries)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasLieLowerCentralSeries"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 211
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(LieLowerCentralSeries)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 236
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "LieUpperCentralSeries: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(LieUpperCentralSeries)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 236
+                    },
+                    "rank": 20045
+                },
+                {
+                    "comment": "LieUpperCentralSeries: for a Lie algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 45
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "LieUpperCentralSeries: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 236
+                    },
+                    "rank": -55
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LieUpperCentralSeries",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetLieUpperCentralSeries"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 236
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(LieUpperCentralSeries): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 236
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(LieUpperCentralSeries): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 236
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(LieUpperCentralSeries)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasLieUpperCentralSeries"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 236
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(LieUpperCentralSeries)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 270
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "LieCentre: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(LieCentre)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 270
+                    },
+                    "rank": 20045
+                },
+                {
+                    "comment": "LieCentre: for a Lie algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 296
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "LieCentre: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 270
+                    },
+                    "rank": -55
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LieCentre",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetLieCenter",
+            "SetLieCentre"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
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+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(PthPowerImages)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 423
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NonNilpotentElement: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NonNilpotentElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 423
+                    },
+                    "rank": 20045
+                },
+                {
+                    "comment": "NonNilpotentElement: for a Lie algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 2787
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "NonNilpotentElement: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 423
+                    },
+                    "rank": -55
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NonNilpotentElement",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetNonLieNilpotentElement",
+            "SetNonNilpotentElement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 423
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(NonNilpotentElement): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 423
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(NonNilpotentElement): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 423
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(NonNilpotentElement)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasNonLieNilpotentElement",
+            "HasNonNilpotentElement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 423
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(NonNilpotentElement)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AdjointAssociativeAlgebra"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ],
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 452
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "AdjointAssociativeAlgebra: for a Lie algebra and a subalgebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 1527
+                    },
+                    "rank": 84
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AdjointAssociativeAlgebra",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 478
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "LieNilRadical: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(LieNilRadical)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 478
+                    },
+                    "rank": 20045
+                },
+                {
+                    "comment": "LieNilRadical: for a Lie algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 1665
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "LieNilRadical: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 478
+                    },
+                    "rank": -55
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LieNilRadical",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetLieNilRadical"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 478
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(LieNilRadical): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 478
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(LieNilRadical): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 478
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(LieNilRadical)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasLieNilRadical"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 478
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(LieNilRadical)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 501
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "LieSolvableRadical: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(LieSolvableRadical)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 501
+                    },
+                    "rank": 20045
+                },
+                {
+                    "comment": "LieSolvableRadical: for a Lie algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 1719
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "LieSolvableRadical: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 501
+                    },
+                    "rank": -55
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LieSolvableRadical",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetLieSolvableRadical"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 501
+            }
+        ],
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+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(LieSolvableRadical): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 501
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(LieSolvableRadical): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 501
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(LieSolvableRadical)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasLieSolvableRadical"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 501
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(LieSolvableRadical)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 530
+            }
+        ],
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+            "0args": [],
+            "1args": [
+                {
+                    "comment": "SemiSimpleType: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(SemiSimpleType)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 530
+                    },
+                    "rank": 20045
+                },
+                {
+                    "comment": "SemiSimpleType: for a Lie algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 2669
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "SemiSimpleType: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 530
+                    },
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+                }
+            ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SemiSimpleType",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetSemiSimpleType"
+        ],
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+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 530
+            }
+        ],
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+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(SemiSimpleType): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 530
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(SemiSimpleType): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 530
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasSemiSimpleType"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 530
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "LieCentraliser",
+            "LieCentralizer"
+        ],
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+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ],
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 557
+            }
+        ],
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+            "2args": [
+                {
+                    "comment": "LieCentralizer: for an abelian Lie algebra and a vector space",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)",
+                            "IsLieAbelian",
+                            "Tester(IsLieAbelian)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 325
+                    },
+                    "rank": 73
+                },
+                {
+                    "comment": "LieCentralizer: for a Lie algebra and a vector space",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gi",
+                        "line": 393
+                    },
+                    "rank": 67
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LieCentralizer",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 573
+            }
+        ],
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+            "0args": [],
+            "1args": [
+                {
+                    "comment": "LieCentralizerInParent: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(LieCentralizerInParent)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 573
+                    },
+                    "rank": 20045
+                },
+                {
+                    "comment": "LieCentralizerInParent: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 573
+                    },
+                    "rank": -55
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetLieCentralizerInParent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 573
+            }
+        ],
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(LieCentralizerInParent): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 573
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(LieCentralizerInParent): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alglie.gd",
+                        "line": 573
+                    },
+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(LieCentralizerInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasLieCentralizerInParent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alglie.gd",
+                "line": 573
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(LieCentralizerInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "LieNormaliser",
+            "LieNormalizer"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ],
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
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+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)"
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+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
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+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
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+                        [
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+                            "IsAdditivelyCommutative",
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+                    "IsDistributiveLOpESum",
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+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
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+                    "Tester(IsRDistributive)",
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+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
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+            ]
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(LieNormalizerInParent)"
+                        ]
+                    ],
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+                },
+                {
+                    "comment": "LieNormalizerInParent: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
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+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
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+                    "IsNearAdditiveMagma",
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+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
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+                    "IsAdditiveElement",
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+                    "filters": [
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+                            "IsBasis"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
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+                    ],
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+                    "Tester(IsJacobianRing)",
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+                    "Tester(IsZeroSquaredRing)"
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+                            "IsExtLSet",
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+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
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+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
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+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
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+                            "IsLDistributive",
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+                            "IsRDistributive",
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+                            "IsJacobianRing",
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+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
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+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
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+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
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+                    "Tester(IsAdditivelyCommutative)",
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+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
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+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(PowerS)"
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+                        "line": 708
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+                },
+                {
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+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
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+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
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+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
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+                },
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+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
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+                    "Tester(IsJacobianRing)",
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+                    "Tester(IsZeroSquaredRing)"
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+                        [
+                            "IsAttributeStoringRep"
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+                        "line": 708
+                    },
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+                },
+                {
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+                    "filters": [
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+                        "line": 708
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+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
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+                    "IsNearAdditiveMagma",
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+                    "Tester(IsLDistributive)",
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+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
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+            ]
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+            ],
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+                [
+                    "IsJacobianElement"
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+                [
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+                            "IsRestrictedJacobianElement",
+                            "IsLieObject"
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+                        [
+                            "IsRestrictedJacobianElement",
+                            "IsLieObject"
+                        ],
+                        [
+                            "IsInt"
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+                            "IsJacobianElement"
+                        ],
+                        [
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+                "file": "/home/makx/ac/gap/lib/algsc.gd",
+                "line": 100
+            }
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+                    "comment": "IsFullSCAlgebra: system getter",
+                    "filters": [
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+                            "IsAttributeStoringRep",
+                            "Tester(IsFullSCAlgebra)"
+                        ]
+                    ],
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+                        "line": 100
+                    },
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+                },
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+                    "comment": "IsFullSCAlgebra: for s. c. algebra elements collection",
+                    "filters": [
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+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "CategoryCollections(IsSCAlgebraObj)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 68
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "IsFullSCAlgebra: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsFreeLeftModule",
+                            "CategoryCollections(IsSCAlgebraObj)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gd",
+                        "line": 100
+                    },
+                    "rank": -59
+                }
+            ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
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+        "aka": [
+            "SetIsFullSCAlgebra"
+        ],
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+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
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+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule",
+                    "CategoryCollections(IsSCAlgebraObj)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
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+            {
+                "file": "/home/makx/ac/gap/lib/algsc.gd",
+                "line": 100
+            }
+        ],
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+                    "comment": "Setter(IsFullSCAlgebra): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
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+                    ],
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+                        "file": "/home/makx/ac/gap/lib/algsc.gd",
+                        "line": 100
+                    },
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+                },
+                {
+                    "comment": "Setter(IsFullSCAlgebra): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gd",
+                        "line": 100
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+            "5args": [],
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+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule",
+                    "CategoryCollections(IsSCAlgebraObj)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algsc.gd",
+                "line": 100
+            }
+        ],
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+            "1args": [],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsFullSCAlgebra)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsBasis"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algsc.gd",
+                "line": 117
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsCanonicalBasisFullSCAlgebra: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsCanonicalBasisFullSCAlgebra)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gd",
+                        "line": 117
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "IsCanonicalBasisFullSCAlgebra: for a basis",
+                    "filters": [
+                        [
+                            "IsBasis"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 1071
+                    },
+                    "rank": 7
+                }
+            ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsCanonicalBasisFullSCAlgebra"
+        ],
+        "filters": [
+            [
+                [
+                    "IsBasis"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algsc.gd",
+                "line": 117
+            }
+        ],
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+                    "comment": "Setter(IsCanonicalBasisFullSCAlgebra): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gd",
+                        "line": 117
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsCanonicalBasisFullSCAlgebra): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gd",
+                        "line": 117
+                    },
+                    "rank": 0
+                }
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsCanonicalBasisFullSCAlgebra)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsBasis"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algsc.gd",
+                "line": 117
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
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+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsCanonicalBasisFullSCAlgebra)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AlgebraGeneralMappingByImages"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ],
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ],
+                [
+                    "IsHomogeneousList"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alghom.gd",
+                "line": 60
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+            "1args": [],
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+                    "comment": "AlgebraGeneralMappingByImages: for two FLMLORs and two homogeneous lists",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 120
+                    },
+                    "rank": 76
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AlgebraGeneralMappingByImages",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AlgebraHomomorphismByImagesNC"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ],
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ],
+                [
+                    "IsHomogeneousList"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alghom.gd",
+                "line": 135
+            }
+        ],
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+            "1args": [],
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+            "3args": [],
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+                    "comment": "AlgebraHomomorphismByImagesNC: for two FLMLORs and two homogeneous lists",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 136
+                    },
+                    "rank": 76
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AlgebraHomomorphismByImagesNC",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AlgebraWithOneGeneralMappingByImages"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ],
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ],
+                [
+                    "IsHomogeneousList"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alghom.gd",
+                "line": 163
+            }
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+            "1args": [],
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+            "3args": [],
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+                {
+                    "comment": "AlgebraWithOneGeneralMappingByImages: for two FLMLORs and two homogeneous lists",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 153
+                    },
+                    "rank": 76
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AlgebraWithOneGeneralMappingByImages",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AlgebraWithOneHomomorphismByImagesNC"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ],
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ],
+                [
+                    "IsHomogeneousList"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alghom.gd",
+                "line": 255
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [
+                {
+                    "comment": "AlgebraWithOneHomomorphismByImagesNC: for two FLMLORs and two homogeneous lists",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 171
+                    },
+                    "rank": 76
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AlgebraWithOneHomomorphismByImagesNC",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "OperationAlgebraHomomorphism"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ],
+                [
+                    "IsBasis"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alghom.gd",
+                "line": 305
+            }
+        ],
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+            "0args": [],
+            "1args": [],
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+                {
+                    "comment": "OperationAlgebraHomomorphism: for a FLMLOR and a collection (add `OnRight' argument)",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 1133
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+                }
+            ],
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+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsFreeLeftModule",
+                            "IsFiniteDimensional",
+                            "Tester(IsFiniteDimensional)",
+                            "Tester(GeneratorsOfLeftOperatorAdditiveGroup)"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
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+                        "line": 1150
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsSubalgebraFpAlgebra",
+                            "IsFullFpAlgebra",
+                            "Tester(IsFullFpAlgebra)"
+                        ],
+                        [
+                            "IsCollection"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 620
+                    },
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+                },
+                {
+                    "comment": "OperationAlgebraHomomorphism: for a FLMLOR, a basis, and a function",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsBasis"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
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+                        "line": 1119
+                    },
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+                }
+            ],
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+            "5args": [],
+            "6args": []
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+    {
+        "aka": [
+            "MakePreImagesInfoOperationAlgebraHomomorphism"
+        ],
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+                    "RespectsMultiplication",
+                    "Tester(RespectsMultiplication)",
+                    "RespectsAddition",
+                    "Tester(RespectsAddition)",
+                    "RespectsAdditiveInverses",
+                    "Tester(RespectsAdditiveInverses)",
+                    "RespectsScalarMultiplication",
+                    "Tester(RespectsScalarMultiplication)"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/alghom.gd",
+                "line": 340
+            }
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+                    "filters": [
+                        [
+                            "IsAlgebraHomomorphismFromFpRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 1052
+                    },
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+                },
+                {
+                    "comment": "MakePreImagesInfoOperationAlgebraHomomorphism: for an operation algebra homomorphism",
+                    "filters": [
+                        [
+                            "IsOperationAlgebraHomomorphismDefaultRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 877
+                    },
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
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+                [
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+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ]
+            ]
+        ],
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+                "line": 365
+            }
+        ],
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+                    "comment": "IsomorphismFpFLMLOR: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsomorphismFpFLMLOR)"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/alghom.gd",
+                        "line": 365
+                    },
+                    "rank": 20037
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsSubalgebraFpAlgebra"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 1752
+                    },
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+                },
+                {
+                    "comment": "IsomorphismFpFLMLOR: for a finite dimensional FLMLOR-with-one",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
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+                        "line": 1737
+                    },
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+                },
+                {
+                    "comment": "IsomorphismFpFLMLOR: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
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+                        "line": 365
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+            "SetIsomorphismFpFLMLOR"
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+                    "IsNearAdditiveGroup",
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+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
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+                    "Tester(IsRDistributive)",
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+                []
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gd",
+                        "line": 365
+                    },
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+                },
+                {
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+                    "filters": [
+                        [],
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gd",
+                        "line": 365
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+            "HasIsomorphismFpFLMLOR"
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+            [
+                [
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+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/alghom.gd",
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+            "5args": [],
+            "6args": []
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+    },
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+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/alghom.gd",
+                "line": 395
+            }
+        ],
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+            "1args": [
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+                    "comment": "IsomorphismMatrixFLMLOR: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsomorphismMatrixFLMLOR)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gd",
+                        "line": 395
+                    },
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+                },
+                {
+                    "comment": "IsomorphismMatrixFLMLOR: for a full f.p. associative FLMLOR",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsSubalgebraFpAlgebra",
+                            "IsFullFpAlgebra",
+                            "Tester(IsFullFpAlgebra)"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 604
+                    },
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+                },
+                {
+                    "comment": "IsomorphismMatrixFLMLOR: for a matrix FLMLOR",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
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+                    ],
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+                        "line": 1728
+                    },
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+                },
+                {
+                    "comment": "IsomorphismMatrixFLMLOR: for a f.p. FLMLOR",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "IsSubalgebraFpAlgebra"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 589
+                    },
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+                },
+                {
+                    "comment": "IsomorphismMatrixFLMLOR: for a finite dimensional associative FLMLOR with identity",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 1553
+                    },
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+                },
+                {
+                    "comment": "IsomorphismMatrixFLMLOR: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gd",
+                        "line": 395
+                    },
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+            ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
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+        "aka": [
+            "SetIsomorphismMatrixAlgebra",
+            "SetIsomorphismMatrixFLMLOR"
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+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ],
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+        ],
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+                "line": 395
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+        ],
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+            "1args": [],
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+                    "comment": "Setter(IsomorphismMatrixFLMLOR): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gd",
+                        "line": 395
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsomorphismMatrixFLMLOR): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gd",
+                        "line": 395
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+            "HasIsomorphismMatrixFLMLOR"
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+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alghom.gd",
+                "line": 395
+            }
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsBasis"
+                ]
+            ],
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/alghom.gd",
+                "line": 436
+            }
+        ],
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+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsomorphismSCFLMLOR: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsomorphismSCFLMLOR)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gd",
+                        "line": 436
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "IsomorphismSCFLMLOR: for s.c. FLMLOR (return the identity mapping)",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule",
+                            "CategoryCollections(IsSCAlgebraObj)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 1811
+                    },
+                    "rank": 10039
+                },
+                {
+                    "comment": "IsomorphismSCFLMLOR: for a finite dimensional FLMLOR (delegate to the method for a basis)",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 1762
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "IsomorphismSCFLMLOR: for a basis (of a finite dimensional FLMLOR)",
+                    "filters": [
+                        [
+                            "IsBasis"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 1799
+                    },
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+                }
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
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+            "SetIsomorphismSCAlgebra",
+            "SetIsomorphismSCFLMLOR"
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+                [
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+            ],
+            [
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+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ],
+                []
+            ]
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/alghom.gd",
+                        "line": 436
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+                },
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+                    "filters": [
+                        [],
+                        []
+                    ],
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+                        "line": 436
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+            "HasIsomorphismSCFLMLOR"
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+            [
+                [
+                    "IsBasis"
+                ]
+            ]
+        ],
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+            {
+                "file": "/home/makx/ac/gap/lib/alghom.gd",
+                "line": 436
+            }
+        ],
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+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RepresentativeLinearOperation"
+        ],
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+            [
+                [
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+                    "IsAssociativeLOpDProd",
+                    "IsDistributiveLOpDSum",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
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+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsFreeLeftModule"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsExtLElement",
+                    "IsExtRElement"
+                ],
+                [
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+                    "IsExtLElement",
+                    "IsExtRElement"
+                ],
+                [
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+                ]
+            ]
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+                "file": "/home/makx/ac/gap/lib/alghom.gd",
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+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
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+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
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+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
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+                        "line": 1717
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+                    "filters": [
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+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
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+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
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+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject"
+                        ],
+                        [
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+                        "line": 1681
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+                    "filters": [
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+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
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+                            "IsExtLElement",
+                            "IsExtRElement"
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+                            "IsExtLElement",
+                            "IsExtRElement"
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+                        [
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+                        "line": 1260
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+                    "filters": [
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+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
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+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
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+                        "line": 1301
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+            "6args": []
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+                            "IsAttributeStoringRep",
+                            "Tester(LieFamily)"
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+                        "line": 150
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gd",
+                        "line": 259
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "GeneratorsOfAlgebraModule",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetGeneratorsOfAlgebraModule"
+        ],
+        "filters": [
+            [
+                [
+                    "IsAlgebraModule",
+                    "Tester(IsAlgebraModule)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algrep.gd",
+                "line": 259
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(GeneratorsOfAlgebraModule): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gd",
+                        "line": 259
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(GeneratorsOfAlgebraModule): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gd",
+                        "line": 259
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(GeneratorsOfAlgebraModule)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasGeneratorsOfAlgebraModule"
+        ],
+        "filters": [
+            [
+                [
+                    "IsAlgebraModule",
+                    "Tester(IsAlgebraModule)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algrep.gd",
+                "line": 259
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(GeneratorsOfAlgebraModule)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "LeftAlgebraModuleByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsFunction"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algrep.gd",
+                "line": 282
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "LeftAlgebraModuleByGenerators: for algebra, function of 2 args, module generators",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsFunction"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 180
+                    },
+                    "rank": 41
+                }
+            ],
+            "4args": [
+                {
+                    "comment": "LeftAlgebraModuleByGenerators: for algebra, function of 2 args, generators, string",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsFunction"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsString"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 197
+                    },
+                    "rank": 46
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LeftAlgebraModuleByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RightAlgebraModuleByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsFunction"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algrep.gd",
+                "line": 304
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "RightAlgebraModuleByGenerators: for algebra, function of 2 args, module generators",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsFunction"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 221
+                    },
+                    "rank": 41
+                }
+            ],
+            "4args": [
+                {
+                    "comment": "RightAlgebraModuleByGenerators: for algebra, function of 2 args, generators, string",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsFunction"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsString"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 239
+                    },
+                    "rank": 46
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RightAlgebraModuleByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "BiAlgebraModuleByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsFunction"
+                ],
+                [
+                    "IsFunction"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algrep.gd",
+                "line": 347
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [
+                {
+                    "comment": "BiAlgebraModuleByGenerators: for 2 algebras, function of 2 args, function of 2 args, module generators",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsFunction"
+                        ],
+                        [
+                            "IsFunction"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 263
+                    },
+                    "rank": 78
+                }
+            ],
+            "6args": [
+                {
+                    "comment": "BiAlgebraModuleByGenerators: for 2 algebras, function of 2 args, function of 2 args, generators, string",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsFunction"
+                        ],
+                        [
+                            "IsFunction"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsString"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 283
+                    },
+                    "rank": 83
+                }
+            ]
+        },
+        "name": "BiAlgebraModuleByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "LeftAlgebraModule"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsFunction"
+                ],
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algrep.gd",
+                "line": 368
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "LeftAlgebraModule: for algebra, function of 2 args, underlying space",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsFunction"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 343
+                    },
+                    "rank": 62
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LeftAlgebraModule",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RightAlgebraModule"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsFunction"
+                ],
+                [
+                    "IsExtLSet",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/algrep.gd",
+                "line": 390
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "RightAlgebraModule: for algebra, function of 2 args, underlying space",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsFunction"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algrep.gi",
+                        "line": 404
+                    },
+                    "rank": 62
+                }
+            ],
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+                            "Tester(LongestWeylWordPerm)"
+                        ]
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+                        "line": 383
+                    },
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+                },
+                {
+                    "comment": "LongestWeylWordPerm: for Weyl group",
+                    "filters": [
+                        [
+                            "IsWeylGroup",
+                            "Tester(IsWeylGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 768
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "LongestWeylWordPerm: default method requiring categories and checking properties",
+                    "filters": [
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+                    ],
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+                        "line": 383
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+            "3args": [],
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+            "5args": [],
+            "6args": []
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+                    "Tester(IsWeylGroup)"
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+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
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+                    ],
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+                    },
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+                },
+                {
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+                    "filters": [
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+                        []
+                    ],
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+            "5args": [],
+            "6args": []
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+                    "Tester(IsWeylGroup)"
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+                    "IsWeylGroup",
+                    "Tester(IsWeylGroup)"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
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+                    "filters": [
+                        [
+                            "IsWeylGroup",
+                            "Tester(IsWeylGroup)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
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+                        "line": 794
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        ],
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+                    "IsWeylGroup",
+                    "Tester(IsWeylGroup)"
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+                [
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+                ]
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+                    "filters": [
+                        [
+                            "IsWeylGroup",
+                            "Tester(IsWeylGroup)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 818
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+                [
+                    "IsWeylGroup",
+                    "Tester(IsWeylGroup)"
+                ],
+                [
+                    "IsList"
+                ]
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+                    "filters": [
+                        [
+                            "IsWeylGroup",
+                            "Tester(IsWeylGroup)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 994
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+                }
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+        "filters": [
+            [
+                [
+                    "IsRootSystem"
+                ]
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+                "line": 476
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+        ],
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+                    "comment": "PositiveRootsAsWeights: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(PositiveRootsAsWeights)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 476
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsRootSystem"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 1014
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+                ],
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+            "1args": [],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gd",
+                        "line": 476
+                    },
+                    "rank": 2
+                },
+                {
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+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gd",
+                        "line": 476
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+            [
+                [
+                    "IsRootSystem"
+                ]
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+                "line": 476
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "DominantWeights"
+        ],
+        "filters": [
+            [
+                [
+                    "IsRootSystem"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
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+                "line": 503
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+                    "filters": [
+                        [
+                            "IsRootSystem"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 1070
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+            [
+                [
+                    "IsRootSystem"
+                ],
+                [
+                    "IsList"
+                ]
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+        ],
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+                "line": 533
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+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ],
+                        [
+                            "IsList"
+                        ]
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+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
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+                {
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+                    "filters": [
+                        [
+                            "IsRootSystem"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 1244
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+            "4args": [],
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+            "6args": []
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+        "type": "GAP_Operation"
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+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
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+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
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+                        "line": 1314
+                    },
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+    {
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+            [
+                [
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+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
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+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
+                ],
+                [
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+                ]
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+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
+                        ],
+                        [
+                            "IsList"
+                        ]
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+                        "file": "/home/makx/ac/gap/lib/lierep.gi",
+                        "line": 1346
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+    {
+        "filters": [
+            [
+                [
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+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
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+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsJacobianRing",
+                    "Tester(IsJacobianRing)",
+                    "IsZeroSquaredRing",
+                    "Tester(IsZeroSquaredRing)"
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+                "line": 720
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(LatticeGeneratorsInUEA)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/lierep.gd",
+                        "line": 720
+                    },
+                    "rank": 20045
+                },
+                {
+                    "comment": "LatticeGeneratorsInUEA: for semsimple Lie algebra",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsJacobianRing",
+                            "Tester(IsJacobianRing)",
+                            "IsZeroSquaredRing",
+                            "Tester(IsZeroSquaredRing)"
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+                    ],
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+                        "line": 2581
+                    },
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+                },
+                {
+                    "comment": "LatticeGeneratorsInUEA: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
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+                        "line": 720
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+    {
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+        "aka": [
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+        ],
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+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "CategoryCollections(IsSCRingObj)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ringsc.gd",
+                "line": 62
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+            "6args": []
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+        "type": "GAP_Operation"
+    },
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+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
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+            ]
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+                "line": 88
+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Subrings)"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/ringsc.gd",
+                        "line": 88
+                    },
+                    "rank": 20029
+                },
+                {
+                    "comment": "Subrings: for SC Rings",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "CategoryCollections(IsSCRingObj)"
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+                    ],
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+                        "line": 943
+                    },
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+                {
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
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+                        "line": 88
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+                }
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+            "3args": [],
+            "4args": [],
+            "5args": [],
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+        "type": "GAP_Operation"
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+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                []
+            ]
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+                "line": 88
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+                    "filters": [
+                        [
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+                    ],
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+                        "line": 88
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+                    "rank": 2
+                },
+                {
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+                    "filters": [
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+                        "line": 88
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "aka": [
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+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ringsc.gd",
+                "line": 88
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+            "6args": []
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+        "type": "GAP_Operation"
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+    {
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+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
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+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/ringsc.gd",
+                "line": 111
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+                    "comment": "Ideals: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Ideals)"
+                        ]
+                    ],
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+                        "line": 111
+                    },
+                    "rank": 20029
+                },
+                {
+                    "comment": "Ideals: for SC Rings",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "CategoryCollections(IsSCRingObj)"
+                        ]
+                    ],
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
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+                        "line": 111
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+            "3args": [],
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
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+            ]
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                    ],
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+                },
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+                    "filters": [
+                        [],
+                        []
+                    ],
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+                        "line": 111
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+            "5args": [],
+            "6args": []
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+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
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+            {
+                "file": "/home/makx/ac/gap/lib/ringsc.gd",
+                "line": 111
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+            [
+                [
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+                ],
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+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/ringsc.gd",
+                "line": 193
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+        ],
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+                    "comment": "DirectSumOp: for SC Rings",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "CategoryCollections(IsSCRingObj)"
+                        ]
+                    ],
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+                        "line": 1166
+                    },
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+                {
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+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
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+                        "line": 1085
+                    },
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
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+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(DirectSumInfo)"
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+                },
+                {
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+                    "filters": [
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+                            "IsMagmaWithInverses"
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+                    ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+        ],
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+                "file": "/home/makx/ac/gap/lib/ringsc.gd",
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
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+                    ],
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+                        "line": 194
+                    },
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+                },
+                {
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+                    "filters": [
+                        [],
+                        []
+                    ],
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+                        "line": 194
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+        ],
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+            [
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+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ringsc.gd",
+                "line": 194
+            }
+        ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+    {
+        "aka": [
+            "RingGeneralMappingByImages"
+        ],
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+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
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+                [
+                    "IsHomogeneousList"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
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+        ],
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+                "file": "/home/makx/ac/gap/lib/ringhom.gd",
+                "line": 40
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+            "2args": [],
+            "3args": [],
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+                    "comment": "RingGeneralMappingByImages: for two rings and two homogeneous lists",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 62
+                    },
+                    "rank": 60
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RingHomomorphismByImagesNC"
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+            [
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+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
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+                [
+                    "IsHomogeneousList"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
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+        ],
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+                "file": "/home/makx/ac/gap/lib/ringhom.gd",
+                "line": 96
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+            "3args": [],
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+                    "comment": "RingHomomorphismByImagesNC: for two rings and two homogeneous lists",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 77
+                    },
+                    "rank": 60
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+            ],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/ringhom.gd",
+                "line": 117
+            }
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+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsTrivial",
+                            "Tester(IsTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 1350
+                    },
+                    "rank": 10089
+                },
+                {
+                    "comment": "NaturalHomomorphismByIdeal: for free algebra and ideal",
+                    "filters": [
+                        [
+                            "IsMagmaRingModuloRelations"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfp.gi",
+                        "line": 450
+                    },
+                    "rank": 69
+                },
+                {
+                    "comment": "NaturalHomomorphismByIdeal: for two finite dimensional FLMLORs",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsDistributiveLOpDSum",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsFreeLeftModule"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/alghom.gi",
+                        "line": 1469
+                    },
+                    "rank": 68
+                },
+                {
+                    "comment": "NaturalHomomorphismByIdeal: sc rings",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "CategoryCollections(IsSCRingObj)"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "CategoryCollections(IsSCRingObj)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringhom.gi",
+                        "line": 619
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "NaturalHomomorphismByIdeal: polynomial rings",
+                    "filters": [
+                        [
+                            "IsPolynomialRing"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/groebner.gi",
+                        "line": 1379
+                    },
+                    "rank": 53
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NaturalHomomorphismByIdeal",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "LucasMod"
+        ],
+        "filters": [
+            [
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/combinat.gd",
+                "line": 1365
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [
+                {
+                    "comment": "LucasMod: iterative method",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/primality.gi",
+                        "line": 208
+                    },
+                    "rank": 73
+                },
+                {
+                    "comment": "LucasMod: recursive version, reduce mod N regularly",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/combinat.gi",
+                        "line": 2703
+                    },
+                    "rank": 72
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LucasMod",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsTable",
+                    "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                    "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/combinat.gd",
+                "line": 1490
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Permanent: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Permanent)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/combinat.gd",
+                        "line": 1490
+                    },
+                    "rank": 20033
+                },
+                {
+                    "comment": "Permanent: for matrices",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/combinat.gi",
+                        "line": 1360
+                    },
+                    "rank": 30
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Permanent",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetPermanent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTable",
+                    "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                    "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/combinat.gd",
+                "line": 1490
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(Permanent): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/combinat.gd",
+                        "line": 1490
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(Permanent): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/combinat.gd",
+                        "line": 1490
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(Permanent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasPermanent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTable",
+                    "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                    "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/combinat.gd",
+                "line": 1490
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(Permanent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 154
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "RationalFunctionsFamily: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RationalFunctionsFamily)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 154
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "RationalFunctionsFamily: floats pseudofield",
+                    "filters": [
+                        [
+                            "IsFloatPseudoField"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 748
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "RationalFunctionsFamily",
+                    "filters": [
+                        [
+                            "IsFamily"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 812
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "RationalFunctionsFamily: not UFD ring",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 821
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RationalFunctionsFamily",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetRationalFunctionsFamily"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 154
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(RationalFunctionsFamily): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 154
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(RationalFunctionsFamily): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 154
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(RationalFunctionsFamily)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasRationalFunctionsFamily"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 154
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(RationalFunctionsFamily)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 181
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "CoefficientsFamily: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(CoefficientsFamily)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 181
+                    },
+                    "rank": 20004
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CoefficientsFamily",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetCoefficientsFamily"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 181
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(CoefficientsFamily): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 181
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(CoefficientsFamily): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 181
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(CoefficientsFamily)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasCoefficientsFamily"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 181
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(CoefficientsFamily)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsPolynomialFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 200
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NumeratorOfRationalFunction: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NumeratorOfRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 200
+                    },
+                    "rank": 20015
+                },
+                {
+                    "comment": "NumeratorOfRationalFunction: univariate using ExtRepNumerator",
+                    "filters": [
+                        [
+                            "IsRationalFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 437
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "NumeratorOfRationalFunction: call ExtRepNumerator",
+                    "filters": [
+                        [
+                            "IsRationalFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 412
+                    },
+                    "rank": 13
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NumeratorOfRationalFunction",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetNumeratorOfRationalFunction"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPolynomialFunction"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 200
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(NumeratorOfRationalFunction): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 200
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(NumeratorOfRationalFunction): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 200
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(NumeratorOfRationalFunction)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasNumeratorOfRationalFunction"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPolynomialFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 200
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(NumeratorOfRationalFunction)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsRationalFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 226
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "DenominatorOfRationalFunction: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(DenominatorOfRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 226
+                    },
+                    "rank": 20016
+                },
+                {
+                    "comment": "DenominatorOfRationalFunction: univariate using ExtRepDenominator",
+                    "filters": [
+                        [
+                            "IsRationalFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 452
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "DenominatorOfRationalFunction: call ExtRepDenominator",
+                    "filters": [
+                        [
+                            "IsRationalFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
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+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 767
+                    },
+                    "rank": 75
+                },
+                {
+                    "comment": "LaurentPolynomialByCoefficients: warn about iterated polynomials",
+                    "filters": [
+                        [
+                            "IsFamily",
+                            "Tester(CoefficientsFamily)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 69
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "LaurentPolynomialByCoefficients: with indeterminate",
+                    "filters": [
+                        [
+                            "IsFamily"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 45
+                    },
+                    "rank": 39
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LaurentPolynomialByCoefficients",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsUnivariateRationalFunction",
+                    "Tester(IsUnivariateRationalFunction)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 823
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IndeterminateOfUnivariateRationalFunction: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IndeterminateOfUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 823
+                    },
+                    "rank": 20018
+                },
+                {
+                    "comment": "IndeterminateOfUnivariateRationalFunction: use `IndeterminateNumber'",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 333
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "IndeterminateOfUnivariateRationalFunction: default method requiring categories and checking properties",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 823
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IndeterminateOfUnivariateRationalFunction",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIndeterminateOfUnivariateRationalFunction"
+        ],
+        "filters": [
+            [
+                [
+                    "IsUnivariateRationalFunction",
+                    "Tester(IsUnivariateRationalFunction)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 823
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IndeterminateOfUnivariateRationalFunction): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 823
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IndeterminateOfUnivariateRationalFunction): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 823
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IndeterminateOfUnivariateRationalFunction)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasIndeterminateOfUnivariateRationalFunction"
+        ],
+        "filters": [
+            [
+                [
+                    "IsUnivariateRationalFunction",
+                    "Tester(IsUnivariateRationalFunction)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 823
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IndeterminateOfUnivariateRationalFunction)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IndeterminateName"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPolynomialFunctionsFamily"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 895
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IndeterminateName: for rational function families",
+                    "filters": [
+                        [
+                            "IsPolynomialFunctionsFamily"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 31
+                    },
+                    "rank": 21
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IndeterminateName",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasIndeterminateName"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPolynomialFunctionsFamily"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 897
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "HasIndeterminateName: for rational function families",
+                    "filters": [
+                        [
+                            "IsPolynomialFunctionsFamily"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 37
+                    },
+                    "rank": 21
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "HasIndeterminateName",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIndeterminateName"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPolynomialFunctionsFamily"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsString"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 899
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "SetIndeterminateName: for rational function families",
+                    "filters": [
+                        [
+                            "IsPolynomialFunctionsFamily"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsString"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gi",
+                        "line": 48
+                    },
+                    "rank": 26
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SetIndeterminateName",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsPolynomial",
+                    "Tester(IsPolynomial)",
+                    "IsUnivariateRationalFunction",
+                    "Tester(IsUnivariateRationalFunction)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 919
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "CoefficientsOfUnivariatePolynomial: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(CoefficientsOfUnivariatePolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 919
+                    },
+                    "rank": 20022
+                },
+                {
+                    "comment": "CoefficientsOfUnivariatePolynomial: use laurent coeffs",
+                    "filters": [
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 145
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "CoefficientsOfUnivariatePolynomial:  fallback method to test conditions",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 148
+                    },
+                    "rank": 0
+                },
+                {
+                    "comment": "CoefficientsOfUnivariatePolynomial: default method requiring categories and checking properties",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 919
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CoefficientsOfUnivariatePolynomial",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetCoefficientsOfUnivariatePolynomial"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPolynomial",
+                    "Tester(IsPolynomial)",
+                    "IsUnivariateRationalFunction",
+                    "Tester(IsUnivariateRationalFunction)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 919
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(CoefficientsOfUnivariatePolynomial): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 919
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(CoefficientsOfUnivariatePolynomial): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 919
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(CoefficientsOfUnivariatePolynomial)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasCoefficientsOfUnivariatePolynomial"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPolynomial",
+                    "Tester(IsPolynomial)",
+                    "IsUnivariateRationalFunction",
+                    "Tester(IsUnivariateRationalFunction)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 919
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(CoefficientsOfUnivariatePolynomial)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsLaurentPolynomial",
+                    "Tester(IsLaurentPolynomial)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 954
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "DegreeOfLaurentPolynomial: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(DegreeOfLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 954
+                    },
+                    "rank": 20020
+                },
+                {
+                    "comment": "DegreeOfLaurentPolynomial",
+                    "filters": [
+                        [
+                            "IsPolynomialFunction",
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 168
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "DegreeOfLaurentPolynomial: default method requiring categories and checking properties",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 954
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "DegreeOfLaurentPolynomial",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetDegreeOfLaurentPolynomial"
+        ],
+        "filters": [
+            [
+                [
+                    "IsLaurentPolynomial",
+                    "Tester(IsLaurentPolynomial)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 954
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(DegreeOfLaurentPolynomial): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 954
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(DegreeOfLaurentPolynomial): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                        "line": 954
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(DegreeOfLaurentPolynomial)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasDegreeOfLaurentPolynomial"
+        ],
+        "filters": [
+            [
+                [
+                    "IsLaurentPolynomial",
+                    "Tester(IsLaurentPolynomial)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 954
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(DegreeOfLaurentPolynomial)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "UnivariatePolynomialByCoefficients"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 978
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "UnivariatePolynomialByCoefficients: fam,cof",
+                    "filters": [
+                        [
+                            "IsFamily"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 96
+                    },
+                    "rank": 3
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "UnivariatePolynomialByCoefficients: ring",
+                    "filters": [
+                        [
+                            "IsFloatPseudoField"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 754
+                    },
+                    "rank": 57
+                },
+                {
+                    "comment": "UnivariatePolynomialByCoefficients: fam, cof,ind",
+                    "filters": [
+                        [
+                            "IsFamily"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 89
+                    },
+                    "rank": 22
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "UnivariatePolynomialByCoefficients",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "UnivariatePolynomial"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                    "CategoryCollections(IsAdditiveElement)",
+                    "CategoryCollections(IsMultiplicativeElement)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ratfun.gd",
+                "line": 997
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "UnivariatePolynomial: ring,cof",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                            "CategoryCollections(IsAdditiveElement)",
+                            "CategoryCollections(IsMultiplicativeElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 112
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "UnivariatePolynomial: ring,empty cof",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 120
+                    },
+                    "rank": 29
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "UnivariatePolynomial: ring,cof,indn",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+                            "CategoryCollections(IsAdditiveElement)",
+                            "CategoryCollections(IsMultiplicativeElement)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
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+                        [
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+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
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+                        [
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+                            "CategoryCollections(IsAdditiveElement)",
+                            "CategoryCollections(IsMultiplicativeElement)"
+                        ],
+                        [
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+                            "Tester(IsUnivariateRationalFunction)"
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+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(CoefficientsOfUnivariateRationalFunction)"
+                        ]
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+                        "line": 1021
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+                    "comment": "CoefficientsOfUnivariateRationalFunction: laurent polynomial",
+                    "filters": [
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
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+                        [
+                            "IsRationalFunction",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
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+                    ],
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+                    "filters": [
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+                        []
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+                ],
+                [
+                    "IsList"
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+                [
+                    "IsList"
+                ],
+                [
+                    "IsInt"
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+                [
+                    "IsInt"
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+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
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+                        ]
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+                        "line": 773
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+                            "IsFamily"
+                        ],
+                        [
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+                        ],
+                        [
+                            "IsList"
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+                        [
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+                    "filters": [
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+                            "IsFloatPseudoField"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
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+                        ],
+                        [
+                            "IsInt"
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+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 793
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+                            "IsFamily"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
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+                [
+                    "IsList"
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+                [
+                    "IsList"
+                ]
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+                ],
+                [
+                    "IsFloat"
+                ]
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+                        [
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/ratfunul.gi",
+                        "line": 1162
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+                        [
+                            "IsPolynomialFunction"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
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+                        "line": 1165
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+                    "filters": [
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
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+                    ],
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+                        "line": 1129
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+                    "filters": [
+                        [
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
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+                        ],
+                        [
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+                        [
+                            "IsList"
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+                        [
+                            "IsList"
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+                        [
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+                        ],
+                        [
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+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
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+                    "filters": [
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
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+                    "filters": [
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
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+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
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+                },
+                {
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+                    "filters": [
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+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsPolynomialDefaultRep"
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+                        [
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+                        [
+                            "IsPolynomialFunction",
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ],
+                        [
+                            "IsInt",
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+                            "IsPolynomialFunction",
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+                        [
+                            "IsPolynomialFunction",
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
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+                        [
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+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
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+                        [
+                            "IsLaurentPolynomial",
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+                            "IsUnivariateRationalFunction",
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+                            "Tester(IsLaurentPolynomial)",
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+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
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+                        [
+                            "IsPolynomialFunction",
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
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+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                            "IsPolynomialFunction",
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
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+                        [
+                            "IsPolynomialFunction",
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
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+                        [
+                            "IsPolynomialFunction",
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
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+                            "IsAttributeStoringRep",
+                            "Tester(Discriminant)"
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+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
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+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
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+                            "IsPosRat"
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+                [
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+                        [
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+                        [
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+                        [
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+                    "IsList"
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+                        [
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+                        [
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+                [
+                    "IsList"
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+                [
+                    "IsList"
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+                            "IsList"
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+                        [
+                            "IsList"
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+                        [
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+                },
+                {
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+                        [
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+                            "IsAssociativeLOpDProd",
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+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
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+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
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+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
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+                    ],
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+                },
+                {
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+                        [
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+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
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+                            "IsMagmaWithInversesIfNonzero",
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+                    ],
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+                },
+                {
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+                        [
+                            "IsNonTrivial",
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+                            "IsTrivialLOpEOne",
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+                            "Tester(IsAdditivelyCommutative)",
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+                            "Tester(IsLDistributive)",
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+                            "Tester(IsRDistributive)",
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+                    ],
+                    "location": {
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+                        "line": 310
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "PrimeField: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 105
+                    },
+                    "rank": -100
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PrimeField",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetPrimeField"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 105
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(PrimeField): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 105
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(PrimeField): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 105
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(PrimeField)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasPrimeField"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 105
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(PrimeField)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 123
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsPrimeField: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsPrimeField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 123
+                    },
+                    "rank": 20054
+                },
+                {
+                    "comment": "IsPrimeField: for a division ring",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 325
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "IsPrimeField: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 123
+                    },
+                    "rank": -100
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsPrimeField",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsPrimeField"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 123
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsPrimeField): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 123
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsPrimeField): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 123
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsPrimeField)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 123
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsPrimeField)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 146
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "DefiningPolynomial: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(DefiningPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 146
+                    },
+                    "rank": 20056
+                },
+                {
+                    "comment": "DefiningPolynomial: for a field of FFEs",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 582
+                    },
+                    "rank": 419
+                },
+                {
+                    "comment": "DefiningPolynomial: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 146
+                    },
+                    "rank": -100
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "DefiningPolynomial",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetDefiningPolynomial"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 146
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(DefiningPolynomial): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 146
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(DefiningPolynomial): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 146
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(DefiningPolynomial)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasDefiningPolynomial"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 146
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(DefiningPolynomial)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 164
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "DegreeOverPrimeField: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(DegreeOverPrimeField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 164
+                    },
+                    "rank": 20054
+                },
+                {
+                    "comment": "DegreeOverPrimeField",
+                    "filters": [
+                        [
+                            "IsPrimeField",
+                            "Tester(IsPrimeField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 392
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "DegreeOverPrimeField: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 164
+                    },
+                    "rank": -100
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "DegreeOverPrimeField",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetDegreeOverPrimeField"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 164
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(DegreeOverPrimeField): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 164
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(DegreeOverPrimeField): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 164
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(DegreeOverPrimeField)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasDegreeOverPrimeField"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 164
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(DegreeOverPrimeField)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 185
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "GeneratorsOfDivisionRing: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(GeneratorsOfDivisionRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 185
+                    },
+                    "rank": 20054
+                },
+                {
+                    "comment": "GeneratorsOfDivisionRing: for abelian number field of cyclotomics",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 520
+                    },
+                    "rank": 65
+                },
+                {
+                    "comment": "GeneratorsOfDivisionRing: for a prime field",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing",
+                            "IsPrimeField",
+                            "Tester(IsPrimeField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 385
+                    },
+                    "rank": 56
+                },
+                {
+                    "comment": "GeneratorsOfDivisionRing: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 185
+                    },
+                    "rank": -100
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "GeneratorsOfDivisionRing",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetGeneratorsOfDivisionRing",
+            "SetGeneratorsOfField"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 185
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(GeneratorsOfDivisionRing): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 185
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(GeneratorsOfDivisionRing): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 185
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(GeneratorsOfDivisionRing)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasGeneratorsOfDivisionRing",
+            "HasGeneratorsOfField"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 185
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(GeneratorsOfDivisionRing)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ],
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 240
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 241
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NormalBase: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NormalBase)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 240
+                    },
+                    "rank": 20056
+                },
+                {
+                    "comment": "NormalBase: for a field (in characteristic zero)",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 417
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "NormalBase: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 240
+                    },
+                    "rank": -100
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "NormalBase: for a finite field and scalar",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 623
+                    },
+                    "rank": 68
+                },
+                {
+                    "comment": "NormalBase: for a field (in characteristic zero), and a scalar",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 457
+                    },
+                    "rank": 64
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NormalBase",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetNormalBase"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 240
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(NormalBase): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 240
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(NormalBase): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 240
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(NormalBase)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasNormalBase"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
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+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
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+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
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+                    "Tester(IsRDistributive)",
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+                            "IsAttributeStoringRep",
+                            "Tester(PrimitiveElement)"
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+                },
+                {
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+                    "filters": [
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+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
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+                    "filters": [
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+                            "IsExtLSet",
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+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsEuclideanRing"
+                        ]
+                    ],
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+                    "Tester(IsLDistributive)",
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+                    "Tester(IsRDistributive)",
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+                    "filters": [
+                        [
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+                    "filters": [
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+                    "IsDistributiveLOpESum",
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+                    "Tester(IsLDistributive)",
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+                    "Tester(IsRDistributive)",
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+                    "IsAssociativeLOpDProd",
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+                    "filters": [
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+                            "IsAttributeStoringRep",
+                            "Tester(PrimitiveRoot)"
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+                },
+                {
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+                        [
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+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
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+                    ],
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
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+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
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+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
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+                            "Tester(IsCommutative)",
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+                            "IsAdditivelyCommutative",
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+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
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+                        [
+                            "IsExtLSet",
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+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsEuclideanRing"
+                        ]
+                    ],
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+                    "Tester(IsLDistributive)",
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+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                        "line": 288
+                    },
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+                },
+                {
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+                    "filters": [
+                        [],
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+        "aka": [
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+                    "IsDistributiveLOpESum",
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+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RootOfDefiningPolynomial)"
+                        ]
+                    ],
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+                        "line": 308
+                    },
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+                },
+                {
+                    "comment": "RootOfDefiningPolynomial: for a small field of FFEs",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 626
+                    },
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+                },
+                {
+                    "comment": "RootOfDefiningPolynomial: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsEuclideanRing"
+                        ]
+                    ],
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+                        "line": 308
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+        "type": "GAP_Operation"
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+        "aka": [
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+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 308
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(RootOfDefiningPolynomial): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 308
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(RootOfDefiningPolynomial): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 308
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(RootOfDefiningPolynomial)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasRootOfDefiningPolynomial"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 308
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(RootOfDefiningPolynomial)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsCollection"
+                ]
+            ],
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 336
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 337
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "AsDivisionRing: for a collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 603
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "AsDivisionRing: for two division rings",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 654
+                    },
+                    "rank": 104
+                },
+                {
+                    "comment": "AsDivisionRing: for a division ring, and a collection",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 628
+                    },
+                    "rank": 54
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AsDivisionRing",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ClosureDivisionRing",
+            "ClosureField"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 358
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ClosureDivisionRing: for a division ring containing the whole family, and a scalar",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 197
+                    },
+                    "rank": 10064
+                },
+                {
+                    "comment": "ClosureDivisionRing: for division ring and empty list",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 233
+                    },
+                    "rank": 69
+                },
+                {
+                    "comment": "ClosureDivisionRing: for a division ring and a scalar",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 187
+                    },
+                    "rank": 62
+                },
+                {
+                    "comment": "ClosureDivisionRing: for division ring and collection of elements",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 226
+                    },
+                    "rank": 54
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ClosureDivisionRing",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 378
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Subfields: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Subfields)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 378
+                    },
+                    "rank": 20056
+                },
+                {
+                    "comment": "Subfields: for finite field of FFEs",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 131
+                    },
+                    "rank": 82
+                },
+                {
+                    "comment": "Subfields: for abelian number field of cyclotomics",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 552
+                    },
+                    "rank": 65
+                },
+                {
+                    "comment": "Subfields: for finite fields that are not FFEs",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 158
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "Subfields: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 378
+                    },
+                    "rank": -100
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Subfields",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetSubfields"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 378
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(Subfields): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 378
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(Subfields): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 378
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(Subfields)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasSubfields"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 378
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(Subfields)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "FieldExtension"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsPolynomial",
+                    "Tester(IsPolynomial)",
+                    "IsUnivariateRationalFunction",
+                    "Tester(IsUnivariateRationalFunction)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 396
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "FieldExtension: for a field of FFEs, and a univ. Laurent polynomial",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 554
+                    },
+                    "rank": 436
+                },
+                {
+                    "comment": "FieldExtension: for field of cyclotomics, and univ. polynomial (degree <= 2)",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ],
+                        [
+                            "IsLaurentPolynomial",
+                            "Tester(IsLaurentPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 613
+                    },
+                    "rank": 82
+                },
+                {
+                    "aka": [
+                        "AlgebraicExtension"
+                    ],
+                    "comment": "FieldExtension: generic",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 230
+                    },
+                    "rank": 73
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "FieldExtension",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ],
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ],
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 566
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 567
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 568
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Conjugates: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Conjugates)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 566
+                    },
+                    "rank": 20013
+                },
+                {
+                    "comment": "Conjugates: for a scalar (delegate to version with default field)",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 678
+                    },
+                    "rank": 10
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "Conjugates: for a field and a scalar (delegate to version with two fields)",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 686
+                    },
+                    "rank": 64
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "Conjugates: for two fields of FFEs, and a FFE",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 729
+                    },
+                    "rank": 879
+                },
+                {
+                    "comment": "Conjugates: for Rationals, Rationals, and a rational",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing",
+                            "IsPrimeField",
+                            "Tester(IsPrimeField)"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing",
+                            "IsPrimeField",
+                            "Tester(IsPrimeField)"
+                        ],
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rational.gi",
+                        "line": 85
+                    },
+                    "rank": 155
+                },
+                {
+                    "comment": "Conjugates: for cycl. field of cyclotomics, ab. number field, and cyclotomic",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsCyclotomicField",
+                            "Tester(IsCyclotomicField)"
+                        ],
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 681
+                    },
+                    "rank": 148
+                },
+                {
+                    "comment": "Conjugates: for two abelian number fields of cyclotomics, and cyclotomic",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ],
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 652
+                    },
+                    "rank": 146
+                },
+                {
+                    "comment": "Conjugates: for two fields and a scalar (call `GaloisGroup')",
+                    "filters": [
+                        [
+                            "IsFieldControlledByGaloisGroup"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 750
+                    },
+                    "rank": 119
+                },
+                {
+                    "comment": "Conjugates: for two fields and a scalar (call `TracePolynomial')",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 722
+                    },
+                    "rank": 118
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Conjugates",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetConjugates"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 566
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(Conjugates): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 566
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(Conjugates): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 566
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(Conjugates)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasConjugates"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 566
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(Conjugates)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ],
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ],
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ],
+            [
+                [
+                    "IsClassFunction"
+                ]
+            ],
+            [
+                [
+                    "IsOrdinaryTable"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 592
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 593
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 594
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctblfuns.gd",
+                "line": 1320
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Norm: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Norm)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 592
+                    },
+                    "rank": 20013
+                },
+                {
+                    "comment": "Norm: for a class function",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 1761
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "Norm: for floats",
+                    "filters": [
+                        [
+                            "IsFloat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 248
+                    },
+                    "rank": 12
+                },
+                {
+                    "comment": "Norm: for a scalar (delegate to version with default field)",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 761
+                    },
+                    "rank": 10
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "Norm: for a field and a scalar (delegate to version with two fields)",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 769
+                    },
+                    "rank": 64
+                },
+                {
+                    "comment": "Norm: for an ordinary character table and a homogeneous list",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 1768
+                    },
+                    "rank": 26
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "Norm: for two fields of FFEs, and a FFE",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 752
+                    },
+                    "rank": 879
+                },
+                {
+                    "comment": "Norm: for cycl. field of cyclotomics, ab. number field, and cyclotomic",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsCyclotomicField",
+                            "Tester(IsCyclotomicField)"
+                        ],
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 745
+                    },
+                    "rank": 148
+                },
+                {
+                    "comment": "Norm: for two abelian number fields of cyclotomics, and cyclotomic",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ],
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 719
+                    },
+                    "rank": 146
+                },
+                {
+                    "comment": "Norm: for two fields and a scalar (use `Conjugates')",
+                    "filters": [
+                        [
+                            "IsFieldControlledByGaloisGroup"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 782
+                    },
+                    "rank": 119
+                },
+                {
+                    "comment": "Norm: for two fields and a scalar (use the trace pol.)",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 798
+                    },
+                    "rank": 118
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Norm",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetNorm"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ],
+                []
+            ],
+            [
+                [
+                    "IsClassFunction"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 592
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(Norm): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 592
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(Norm): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 592
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(Norm)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasNorm"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 592
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(Norm)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ],
+            [
+                [
+                    "IsTable",
+                    "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                    "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                ]
+            ],
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ],
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 630
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 632
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 633
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Trace: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Trace)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 630
+                    },
+                    "rank": 20013
+                },
+                {
+                    "comment": "Trace: generic method for matrices",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 3786
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "Trace: for a scalar (delegate to version with default field)",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 809
+                    },
+                    "rank": 10
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "Trace: for a field and a scalar (delegate to version with two fields)",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 817
+                    },
+                    "rank": 64
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "Trace: for two fields of FFEs, and a FFE",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 787
+                    },
+                    "rank": 879
+                },
+                {
+                    "comment": "Trace: for cycl. field of cyclotomics, ab. number field, and cyclotomic",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsCyclotomicField",
+                            "Tester(IsCyclotomicField)"
+                        ],
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 807
+                    },
+                    "rank": 148
+                },
+                {
+                    "comment": "Trace: for two abelian number fields of cyclotomics, and cyclotomic",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ],
+                        [
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsAbelianNumberField",
+                            "Tester(IsAbelianNumberField)"
+                        ],
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 783
+                    },
+                    "rank": 146
+                },
+                {
+                    "comment": "Trace: for two fields and a scalar (use `Conjugates')",
+                    "filters": [
+                        [
+                            "IsFieldControlledByGaloisGroup"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 830
+                    },
+                    "rank": 119
+                },
+                {
+                    "comment": "Trace: for two fields and a scalar (use the trace pol.)",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 846
+                    },
+                    "rank": 118
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Trace",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetTrace"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ],
+                []
+            ],
+            [
+                [
+                    "IsTable",
+                    "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                    "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 630
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(Trace): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 630
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(Trace): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 630
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(Trace)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasTrace"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 630
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(Trace)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ],
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 669
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 671
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "TracePolynomial: add default indet. 1",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 947
+                    },
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+                }
+            ],
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+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 939
+                    },
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+                }
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+            [
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+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
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+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
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+                ]
+            ],
+            [
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+                ]
+            ]
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+                "line": 703
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(GaloisGroup)"
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+                    ],
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+                },
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+                        [
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+                },
+                {
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+                    "filters": [
+                        [
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+                            "Tester(IsNonTrivial)",
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+                            "Tester(IsFinite)",
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+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
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+                            "IsCommutative",
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+                            "IsNearAdditiveMagma",
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+                            "Tester(IsAdditivelyCommutative)",
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+                            "Tester(IsRDistributive)",
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+                            "IsTrivialLOpEOne",
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+                            "IsMagma",
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+                            "IsMagmaWithInversesIfNonzero",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsEuclideanRing"
+                        ]
+                    ],
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+                            "IsAttributeStoringRep",
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+                            "IsAttributeStoringRep",
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+                            "IsQuaternion",
+                            "IsSCAlgebraObj"
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+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
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+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 758
+            }
+        ],
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+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ImaginaryPart: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ImaginaryPart)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 758
+                    },
+                    "rank": 20013
+                },
+                {
+                    "comment": "ImaginaryPart: for a quaternion",
+                    "filters": [
+                        [
+                            "IsQuaternion",
+                            "IsSCAlgebraObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algsc.gi",
+                        "line": 860
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "ImaginaryPart: for a cyclotomic",
+                    "filters": [
+                        [
+                            "IsCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.gi",
+                        "line": 132
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "ImaginaryPart: for macfloats",
+                    "filters": [
+                        [
+                            "IsIEEE754FloatRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ieee754.g",
+                        "line": 116
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "ImaginaryPart: for a list",
+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.gi",
+                        "line": 147
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ImaginaryPart",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetImaginaryPart"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ],
+                []
+            ],
+            [
+                [
+                    "IsList"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 758
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ImaginaryPart): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 758
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ImaginaryPart): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 758
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ImaginaryPart)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasImaginaryPart"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 758
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ImaginaryPart)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "DivisionRingByGenerators",
+            "FieldByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 785
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "DivisionRingByGenerators: for collection of cyclotomics",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 1428
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "DivisionRingByGenerators: for a collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 24
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "DivisionRingByGenerators: for two coll. of FFEs, the first a field",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsFFE)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 1037
+                    },
+                    "rank": 441
+                },
+                {
+                    "comment": "DivisionRingByGenerators: for field and collection, both collections of cyclotomics",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 1461
+                    },
+                    "rank": 82
+                },
+                {
+                    "comment": "DivisionRingByGenerators: for a division ring, and a collection",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 38
+                    },
+                    "rank": 54
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "DivisionRingByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "FieldOverItselfByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 807
+            }
+        ],
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+            "1args": [
+                {
+                    "comment": "FieldOverItselfByGenerators: for a collection of FFEs",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 990
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "FieldOverItselfByGenerators: for a collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 59
+                    },
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+                }
+            ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 826
+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsList",
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 1048
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "DefaultFieldByGenerators: alg elms",
+                    "filters": [
+                        [
+                            "IsList",
+                            "CategoryCollections(IsAlgebraicElement)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 1023
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "DefaultFieldByGenerators: for collection of cyclotomics",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
+                        "line": 1471
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "DefaultFieldByGenerators: for a collection",
+                    "filters": [
+                        [
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 69
+                    },
+                    "rank": 2
+                }
+            ],
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+                {
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+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 1056
+                    },
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+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 972
+            }
+        ],
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+                {
+                    "comment": "FrobeniusAutomorphism: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(FrobeniusAutomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 972
+                    },
+                    "rank": 20056
+                },
+                {
+                    "comment": "FrobeniusAutomorphism: for a field",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fieldfin.gi",
+                        "line": 689
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "FrobeniusAutomorphism: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 972
+                    },
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+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
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+                    "Tester(IsCommutative)",
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+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 972
+            }
+        ],
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(FrobeniusAutomorphism): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 972
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(FrobeniusAutomorphism): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gd",
+                        "line": 972
+                    },
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+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(FrobeniusAutomorphism)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasFrobeniusAutomorphism"
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+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 972
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
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+            "6args": []
+        },
+        "name": "Tester(FrobeniusAutomorphism)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "NthRoot"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsNearAdditiveElementWithInverse",
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElementWithInverse"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/field.gd",
+                "line": 1018
+            }
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+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsFFE"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffe.gi",
+                        "line": 888
+                    },
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+                }
+            ],
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+            "5args": [],
+            "6args": []
+        },
+        "name": "NthRoot",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ZmodnZObj",
+            "ZmodpZObj"
+        ],
+        "filters": [
+            [
+                [
+                    "CategoryFamily(IsZmodnZObjNonprime)"
+                ],
+                [
+                    "IsInt"
+                ]
+            ],
+            [
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/zmodnz.gd",
+                "line": 226
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/zmodnz.gd",
+                "line": 227
+            }
+        ],
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+            "1args": [],
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+                    "comment": "ZmodnZObj: for a positive integer, and an integer -- check small primes",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 91
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "ZmodnZObj: for family of FFE elements, and integer",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsFFE)"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 80
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ZmodnZObj: for family of elements in Z/nZ (nonprime), and integer",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsZmodnZObjNonprime)"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 62
+                    },
+                    "rank": 23
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ZmodnZObj",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsZmodnZObj"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/zmodnz.gd",
+                "line": 247
+            }
+        ],
+        "methods": {
+            "0args": [],
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+                    "comment": "ModulusOfZmodnZObj: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ModulusOfZmodnZObj)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gd",
+                        "line": 247
+                    },
+                    "rank": 20017
+                },
+                {
+                    "comment": "ModulusOfZmodnZObj: for element in Z/pZ (prime)",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsZmodnZObj"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 1140
+                    },
+                    "rank": 16
+                },
+                {
+                    "comment": "ModulusOfZmodnZObj: for FFE",
+                    "filters": [
+                        [
+                            "IsFFE"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 1151
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "ModulusOfZmodnZObj: for element in Z/nZ (nonprime)",
+                    "filters": [
+                        [
+                            "IsZmodnZObjNonprime"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gi",
+                        "line": 1135
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+                }
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+            "3args": [],
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+                    "IsZmodnZObj"
+                ],
+                []
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+                "file": "/home/makx/ac/gap/lib/zmodnz.gd",
+                "line": 247
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+            "1args": [],
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+                {
+                    "comment": "Setter(ModulusOfZmodnZObj): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/zmodnz.gd",
+                        "line": 247
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+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ModulusOfZmodnZObj): default method, does nothing",
+                    "filters": [
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnz.gd",
+                        "line": 247
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+                    "rank": 0
+                }
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
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+        "aka": [
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+            [
+                [
+                    "IsZmodnZObj"
+                ]
+            ]
+        ],
+        "locations": [
+            {
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+                "line": 247
+            }
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsZmodnZepsObj"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/zmodnze.gd",
+                "line": 24
+            }
+        ],
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+                    "comment": "Cyclotomic: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Cyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gd",
+                        "line": 24
+                    },
+                    "rank": 20014
+                },
+                {
+                    "comment": "Cyclotomic: zmodnze : for element in Z/nZ(m) (ZmodnZepsRep)",
+                    "filters": [
+                        [
+                            "IsZmodnZepsObj",
+                            "IsZmodnZepsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gi",
+                        "line": 302
+                    },
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+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "Cyclotomic",
+        "type": "GAP_Operation"
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+        "aka": [
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+        "filters": [
+            [
+                [
+                    "IsZmodnZepsObj"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/zmodnze.gd",
+                "line": 24
+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gd",
+                        "line": 24
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(Cyclotomic): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gd",
+                        "line": 24
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(Cyclotomic)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        "filters": [
+            [
+                [
+                    "IsZmodnZepsObj"
+                ]
+            ]
+        ],
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+            {
+                "file": "/home/makx/ac/gap/lib/zmodnze.gd",
+                "line": 24
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "Tester(Cyclotomic)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/zmodnze.gd",
+                "line": 26
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsRingOfIntegralCyclotomics: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsRingOfIntegralCyclotomics)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gd",
+                        "line": 26
+                    },
+                    "rank": 20031
+                },
+                {
+                    "comment": "IsRingOfIntegralCyclotomics: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gd",
+                        "line": 26
+                    },
+                    "rank": -25
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsRingOfIntegralCyclotomics",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsRingOfIntegralCyclotomics"
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+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/zmodnze.gd",
+                "line": 26
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
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+                    "comment": "Setter(IsRingOfIntegralCyclotomics): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gd",
+                        "line": 26
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsRingOfIntegralCyclotomics): default method, does nothing",
+                    "filters": [
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/zmodnze.gd",
+                        "line": 26
+                    },
+                    "rank": 0
+                }
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsRingOfIntegralCyclotomics)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasIsRingOfIntegralCyclotomics"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/zmodnze.gd",
+                "line": 26
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsRingOfIntegralCyclotomics)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RoundCyc"
+        ],
+        "filters": [
+            [
+                [
+                    "IsCyclotomic"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/cyclotom.gd",
+                "line": 110
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
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+                    "filters": [
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1775
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "RoundCyc: Rational",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rational.gi",
+                        "line": 394
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "RoundCyc: general cyclotomic",
+                    "filters": [
+                        [
+                            "IsCyclotomic"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.gi",
+                        "line": 60
+                    },
+                    "rank": 15
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
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+        "aka": [
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+        "filters": [
+            [
+                [
+                    "IsCyclotomic"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/cyclotom.gd",
+                "line": 125
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "RoundCycDown: Integer",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/integer.gi",
+                        "line": 1782
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "RoundCycDown: Rational",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rational.gi",
+                        "line": 414
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "RoundCycDown: general cyclotomic",
+                    "filters": [
+                        [
+                            "IsCyclotomic"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.gi",
+                        "line": 69
+                    },
+                    "rank": 15
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RoundCycDown",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsTable",
+                    "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                    "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/cyclotom.gd",
+                "line": 932
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "GaloisMat: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(GaloisMat)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/cyclotom.gd",
+                        "line": 932
+                    },
+                    "rank": 20033
+                },
+                {
+                    "comment": "GaloisMat: for a matrix of cyclotomics",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "CategoryCollections(CategoryCollections(IsCyclotomic))"
+                        ]
+                    ],
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+            "5args": [],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                    ],
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+                        "line": 932
+                    },
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+                },
+                {
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+                    "filters": [
+                        [],
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+                    ],
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+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
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+            ]
+        ],
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+    {
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+            [
+                [
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+                    "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                    "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
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+        ],
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+                "line": 961
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RationalizedMat)"
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+                    ],
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+                        "line": 961
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
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+            "4args": [],
+            "5args": [],
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+                ],
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+                    "filters": [
+                        [
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+                    ],
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+                        "line": 961
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+                },
+                {
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+                    "filters": [
+                        [],
+                        []
+                    ],
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+                        "line": 961
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+            "5args": [],
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+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/cyclotom.gd",
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+            [
+                [
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+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/fldabnum.gd",
+                "line": 77
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsNumberField)"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/fldabnum.gd",
+                        "line": 77
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+                },
+                {
+                    "comment": "IsNumberField: for a field",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 335
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gd",
+                        "line": 77
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+            "5args": [],
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+                    "IsDistributiveLOpESum",
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+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
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+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsBool"
+                ]
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+                "file": "/home/makx/ac/gap/lib/fldabnum.gd",
+                "line": 77
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                    ],
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+                        "line": 77
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+                },
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+                    "filters": [
+                        [],
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+                        "line": 77
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+            "5args": [],
+            "6args": []
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+                [
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+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
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+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
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+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
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+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
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+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/fldabnum.gd",
+                "line": 77
+            }
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/fldabnum.gd",
+                "line": 104
+            }
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+                    "comment": "IsAbelianNumberField: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsAbelianNumberField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gd",
+                        "line": 104
+                    },
+                    "rank": 20056
+                },
+                {
+                    "comment": "IsAbelianNumberField: for a field",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 346
+                    },
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+                },
+                {
+                    "comment": "IsAbelianNumberField: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gd",
+                        "line": 104
+                    },
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+                }
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+            "3args": [],
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+        "aka": [
+            "SetIsAbelianNumberField"
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+            [
+                [
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+                    "Tester(IsNonTrivial)",
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+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
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+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
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+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
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+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
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+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/fldabnum.gd",
+                "line": 104
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                        "line": 104
+                    },
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+                },
+                {
+                    "comment": "Setter(IsAbelianNumberField): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
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+                        "line": 104
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+            "5args": [],
+            "6args": []
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+            [
+                [
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+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/fldabnum.gd",
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+            [
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+                    "IsExtLSet",
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+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/fldabnum.gd",
+                "line": 169
+            }
+        ],
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+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsCyclotomicField: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsCyclotomicField)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gd",
+                        "line": 169
+                    },
+                    "rank": 20056
+                },
+                {
+                    "comment": "IsCyclotomicField: for a field",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/field.gi",
+                        "line": 357
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "IsCyclotomicField: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/fldabnum.gd",
+                        "line": 169
+                    },
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+            ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
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+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/fldabnum.gd",
+                "line": 169
+            }
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
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+                    ],
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+                        "line": 169
+                    },
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+                },
+                {
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+                    "filters": [
+                        [],
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+                    ],
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+                        "line": 169
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+            "5args": [],
+            "6args": []
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+            [
+                [
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+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
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+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
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+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
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+                    "Tester(IsAbelianNumberField)"
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+                "file": "/home/makx/ac/gap/lib/fldabnum.gd",
+                "line": 210
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(GaloisStabilizer)"
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+                    ],
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+                        "line": 210
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+                    "filters": [
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+                    "filters": [
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+                        "line": 210
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+                        "line": 210
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+            "6args": []
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+                    "IsTotal",
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+                            "IsAttributeStoringRep",
+                            "Tester(ExponentOfPowering)"
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+                            "Tester(IsOne)",
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
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+                    "filters": [
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+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "IsANFAutomorphismRep"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/fldabnum.gi",
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+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)"
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+                        "line": 1805
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+            "6args": []
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+                    "IsTotal",
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+                "line": 790
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+                    "filters": [
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+                        "line": 790
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+                    "IsTotal",
+                    "Tester(IsTotal)",
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+                    "Tester(IsSingleValued)"
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+                "file": "/home/makx/ac/gap/lib/fldabnum.gd",
+                "line": 790
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+                {
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+                    "filters": [
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+                        "line": 561
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+                        [
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+                        [
+                            "CategoryCollections(IsCyclotomic)"
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+                        ],
+                        [
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+                        [
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+                        [
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+                            "IsAttributeStoringRep",
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gd",
+                        "line": 186
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(CoefficientsRing): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gd",
+                        "line": 186
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasCoefficientsRing"
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+        "filters": [
+            [
+                [
+                    "IsPolynomialRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ringpoly.gd",
+                "line": 186
+            }
+        ],
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+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "Tester(CoefficientsRing)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "Indeterminate",
+            "X"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ringpoly.gd",
+                "line": 315
+            }
+        ],
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+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Indeterminate: number 1",
+                    "filters": [
+                        [
+                            "IsFloatPseudoField"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 889
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "Indeterminate: number 1",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 394
+                    },
+                    "rank": 26
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "Indeterminate: number",
+                    "filters": [
+                        [
+                            "IsFloatPseudoField"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 884
+                    },
+                    "rank": 56
+                },
+                {
+                    "comment": "Indeterminate: number",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 383
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "Indeterminate: number, name",
+                    "filters": [
+                        [
+                            "IsFloatPseudoField"
+                        ],
+                        [
+                            "IsString"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 907
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "Indeterminate: number, avoid",
+                    "filters": [
+                        [
+                            "IsFloatPseudoField"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 898
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "Indeterminate: number, name",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsString"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 414
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "Indeterminate: number, avoid",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 404
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "Indeterminate",
+                    "filters": [
+                        [
+                            "CategoryFamily(IsFloat)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 879
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "Indeterminate: fam,number",
+                    "filters": [
+                        [
+                            "IsFamily"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 388
+                    },
+                    "rank": 20
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "Indeterminate: number, name, avoid",
+                    "filters": [
+                        [
+                            "IsFloatPseudoField"
+                        ],
+                        [
+                            "IsString"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 917
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "Indeterminate: number, name, avoid",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsString"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 425
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+    {
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+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/ringpoly.gd",
+                "line": 354
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+        ],
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+                {
+                    "comment": "UnivariatePolynomialRing: indet 1",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 277
+                    },
+                    "rank": 26
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "UnivariatePolynomialRing: indet number",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 283
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "UnivariatePolynomialRing: name",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsString"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 293
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "UnivariatePolynomialRing: avoid",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 303
+                    },
+                    "rank": 28
+                }
+            ],
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+                {
+                    "comment": "UnivariatePolynomialRing: name,avoid",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsString"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+    {
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+            [
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+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/ringpoly.gd",
+                "line": 373
+            }
+        ],
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+            "1args": [
+                {
+                    "comment": "IndeterminatesOfPolynomialRing: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IndeterminatesOfPolynomialRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gd",
+                        "line": 373
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+            ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+            "SetIndeterminatesOfPolynomialRing"
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+        "filters": [
+            [
+                [
+                    "IsPolynomialRing"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ringpoly.gd",
+                "line": 373
+            }
+        ],
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+            "0args": [],
+            "1args": [],
+            "2args": [
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+                    "comment": "Setter(IndeterminatesOfPolynomialRing): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gd",
+                        "line": 373
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IndeterminatesOfPolynomialRing): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gd",
+                        "line": 373
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IndeterminatesOfPolynomialRing)",
+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+            "HasIndeterminatesOfPolynomialRing"
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+        "filters": [
+            [
+                [
+                    "IsPolynomialRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ringpoly.gd",
+                "line": 373
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IndeterminatesOfPolynomialRing)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PolynomialRing"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ringpoly.gd",
+                "line": 427
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "PolynomialRing",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 267
+                    },
+                    "rank": 26
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "PolynomialRing: rank",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 242
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "PolynomialRing: indetlist",
+                    "filters": [
+                        [
+                            "IsFloatPseudoField"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 874
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "PolynomialRing: name",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsString"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 226
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "PolynomialRing: indetlist",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 221
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "PolynomialRing: names",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 236
+                    },
+                    "rank": 28
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "PolynomialRing: rank,avoid",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 249
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "PolynomialRing: names,avoid",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 256
+                    },
+                    "rank": 30
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PolynomialRing",
+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+        "filters": [
+            [
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsAdditiveElement",
+                    "IsMultiplicativeElement"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ringpoly.gd",
+                "line": 454
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "MinimalPolynomial: supply field and indeterminate 1",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 774
+                    },
+                    "rank": 30
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "MinimalPolynomial: supply field",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 767
+                    },
+                    "rank": 49
+                },
+                {
+                    "comment": "MinimalPolynomial: supply indeterminate 1",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsAdditiveElement",
+                            "IsMultiplicativeElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ringpoly.gi",
+                        "line": 620
+                    },
+                    "rank": 32
+                }
+            ],
+            "3args": [
+                {
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+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsOrdinaryMatrix"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matrix.gi",
+                        "line": 760
+                    },
+                    "rank": 104
+                },
+                {
+                    "comment": "MinimalPolynomial: for floats",
+                    "filters": [
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing",
+                            "IsPrimeField",
+                            "Tester(IsPrimeField)"
+                        ],
+                        [
+                            "IsFloat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/float.gi",
+                        "line": 661
+                    },
+                    "rank": 101
+                },
+                {
+                    "comment": "MinimalPolynomial",
+                    "filters": [
+                        [
+                            "IsPrimeField",
+                            "Tester(IsPrimeField)"
+                        ],
+                        [
+                            "IsFFE",
+                            "IsCoeffsModConwayPolRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ffeconway.gi",
+                        "line": 1576
+                    },
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+                },
+                {
+                    "comment": "MinimalPolynomial: AlgElm",
+                    "filters": [
+                        [
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+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
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+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
+                        "line": 817
+                    },
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+                },
+                {
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+                    "filters": [
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+                            "IsFinite",
+                            "Tester(IsFinite)",
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+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
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+                            "Tester(IsCommutative)",
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+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
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+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
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+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 202
+                    },
+                    "rank": 87
+                },
+                {
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+                            "IsAssociativeLOpDProd",
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+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
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+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
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+                            "IsAdditiveElement",
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
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+                        "line": 918
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+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
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+                        [
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+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
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+                    ],
+                    "location": {
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+                        "line": 750
+                    },
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+                }
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
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+                        "line": 725
+                    },
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+                },
+                {
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+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
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+                    },
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+                },
+                {
+                    "comment": "FunctionField: names",
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+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsList"
+                        ]
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+                    },
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+                        [
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+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
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+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
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+                        [
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+                            "IsPosRat"
+                        ],
+                        [
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+                        ]
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+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
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+                        [
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+                        ],
+                        [
+                            "IsList"
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+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(SplittingField)"
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+                {
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+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)",
+                            "IsUnivariateRationalFunction",
+                            "Tester(IsUnivariateRationalFunction)"
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+                    ],
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+                            "IsPolynomial",
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+                        [
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+                            "Tester(IsUnivariateRationalFunction)"
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+                        [
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+                        [
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+                        [
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+                            "Tester(IsCommutative)",
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+                            "Tester(IsUnivariateRationalFunction)"
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+                            "IsLeftActedOnByDivisionRing",
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+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
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+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
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+                            "Tester(IsLDistributive)",
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+                            "Tester(IsUnivariateRationalFunction)"
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+                            "IsUnivariateRationalFunction",
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+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsRationalFunction"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/algfld.gi",
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+                }
+            ],
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+                    "filters": [
+                        [
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+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
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+                        [
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+                            "Tester(IsUnivariateRationalFunction)"
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+                        [
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+                            "IsAssociativeLOpEProd",
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+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
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+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
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+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordass.gi",
+                        "line": 77
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "AssignGeneratorVariables: default method for a ring",
+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(GeneratorsOfRing)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordass.gi",
+                        "line": 61
+                    },
+                    "rank": 27
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AssignGeneratorVariables",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "Subword"
+        ],
+        "filters": [
+            [
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/wordass.gd",
+                "line": 525
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "Subword: for a straight line program word",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsStraightLineProgElm"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 2040
+                    },
+                    "rank": 145
+                },
+                {
+                    "comment": "Subword: for letter associative word and two positions",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsLetterAssocWordRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 587
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "Subword: for syllable associative word and two positions",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsSyllableAssocWordRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordass.gi",
+                        "line": 690
+                    },
+                    "rank": 43
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Subword",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PositionWord"
+        ],
+        "filters": [
+            [
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ],
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/wordass.gd",
+                "line": 569
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "PositionWord: for two associative words,start at 1",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordass.gi",
+                        "line": 718
+                    },
+                    "rank": 10
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "PositionWord: for two associative words and a positive integer, using letters",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsLetterAssocWordRep"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 600
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "PositionWord: for two associative words and a positive integer, using syllables",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsSyllableAssocWordRep"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordass.gi",
+                        "line": 824
+                    },
+                    "rank": 30
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PositionWord",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SubstitutedWord"
+        ],
+        "filters": [
+            [
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ]
+            ],
+            [
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ],
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/wordass.gd",
+                "line": 622
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/wordass.gd",
+                "line": 625
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [
+                {
+                    "comment": "SubstitutedWord: for assoc. word, two positive integers, and assoc. word",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordass.gi",
+                        "line": 858
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "SubstitutedWord: for three associative words",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordass.gi",
+                        "line": 880
+                    },
+                    "rank": 34
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SubstitutedWord",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "EliminatedWord"
+        ],
+        "filters": [
+            [
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ],
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ],
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/wordass.gd",
+                "line": 652
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "EliminatedWord: for three associative words, using the external rep.",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordass.gi",
+                        "line": 920
+                    },
+                    "rank": 15
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "EliminatedWord",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ExponentSumWord"
+        ],
+        "filters": [
+            [
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ],
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/wordass.gd",
+                "line": 684
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ExponentSumWord: letter rep as.word, gen",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsLetterAssocWordRep"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 219
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "ExponentSumWord: syllable rep as.word, gen",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsSyllableAssocWordRep"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 1530
+                    },
+                    "rank": 11
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ExponentSumWord",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/wordass.gd",
+                "line": 717
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NumberSyllables: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NumberSyllables)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordass.gd",
+                        "line": 717
+                    },
+                    "rank": 20008
+                },
+                {
+                    "comment": "NumberSyllables: for a straight line program word",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsStraightLineProgElm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 2000
+                    },
+                    "rank": 109
+                },
+                {
+                    "aka": [
+                        "InfBits_NumberSyllables"
+                    ],
+                    "comment": "NumberSyllables: for an inf. bits assoc. word",
+                    "filters": [
+                        [
+                            "IsInfBitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 852
+                    },
+                    "rank": 8
+                },
+                {
+                    "aka": [
+                        "32Bits_NumberSyllables"
+                    ],
+                    "comment": "NumberSyllables: for a 32 bits assoc. word",
+                    "filters": [
+                        [
+                            "Is32BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 701
+                    },
+                    "rank": 8
+                },
+                {
+                    "aka": [
+                        "16Bits_NumberSyllables"
+                    ],
+                    "comment": "NumberSyllables: for a 16 bits assoc. word",
+                    "filters": [
+                        [
+                            "Is16BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 608
+                    },
+                    "rank": 8
+                },
+                {
+                    "aka": [
+                        "8Bits_NumberSyllables"
+                    ],
+                    "comment": "NumberSyllables: for an 8 bits assoc. word",
+                    "filters": [
+                        [
+                            "Is8BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 515
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "NumberSyllables: assoc word in letter rep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsLetterAssocWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 170
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "NumberSyllables: for an assoc. word in syllable rep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsSyllableAssocWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 1503
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NumberSyllables",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetNrSyllables",
+            "SetNumberSyllables"
+        ],
+        "filters": [
+            [
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/wordass.gd",
+                "line": 717
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(NumberSyllables): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordass.gd",
+                        "line": 717
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(NumberSyllables): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordass.gd",
+                        "line": 717
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(NumberSyllables)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasNrSyllables",
+            "HasNumberSyllables"
+        ],
+        "filters": [
+            [
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/wordass.gd",
+                "line": 717
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(NumberSyllables)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ExponentSyllable"
+        ],
+        "filters": [
+            [
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/wordass.gd",
+                "line": 736
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ExponentSyllable: for a straight line program word",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsStraightLineProgElm"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 2020
+                    },
+                    "rank": 128
+                },
+                {
+                    "aka": [
+                        "InfBits_ExponentSyllable"
+                    ],
+                    "comment": "ExponentSyllable: for an inf. bits assoc. word, and a pos. integer",
+                    "filters": [
+                        [
+                            "IsInfBitsAssocWord"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 836
+                    },
+                    "rank": 27
+                },
+                {
+                    "aka": [
+                        "32Bits_ExponentSyllable"
+                    ],
+                    "comment": "ExponentSyllable: for a 32 bits assoc. word, and pos. integer",
+                    "filters": [
+                        [
+                            "Is32BitsAssocWord"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 689
+                    },
+                    "rank": 27
+                },
+                {
+                    "aka": [
+                        "16Bits_ExponentSyllable"
+                    ],
+                    "comment": "ExponentSyllable: for a 16 bits assoc. word, and pos. integer",
+                    "filters": [
+                        [
+                            "Is16BitsAssocWord"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 596
+                    },
+                    "rank": 27
+                },
+                {
+                    "aka": [
+                        "8Bits_ExponentSyllable"
+                    ],
+                    "comment": "ExponentSyllable: for an 8 bits assoc. word, and a pos. integer",
+                    "filters": [
+                        [
+                            "Is8BitsAssocWord"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 503
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "ExponentSyllable: assoc word in letter rep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsLetterAssocWordRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 190
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "ExponentSyllable: for an assoc. word in syllable rep, and a positive integer",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsSyllableAssocWordRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 1482
+                    },
+                    "rank": 25
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ExponentSyllable",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "GeneratorSyllable"
+        ],
+        "filters": [
+            [
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/wordass.gd",
+                "line": 754
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "GeneratorSyllable: for a straight line program word",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsStraightLineProgElm"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 2010
+                    },
+                    "rank": 128
+                },
+                {
+                    "aka": [
+                        "32Bits_GeneratorSyllable"
+                    ],
+                    "comment": "GeneratorSyllable: for a 32 bits assoc. word, and pos. integer",
+                    "filters": [
+                        [
+                            "Is32BitsAssocWord"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 695
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "GeneratorSyllable: assoc word in B letter rep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsBLetterAssocWordRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 184
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "GeneratorSyllable: assoc word in W letter rep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsWLetterAssocWordRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 177
+                    },
+                    "rank": 26
+                },
+                {
+                    "aka": [
+                        "InfBits_GeneratorSyllable"
+                    ],
+                    "comment": "GeneratorSyllable: for an inf. bits assoc. word, and an integer",
+                    "filters": [
+                        [
+                            "IsInfBitsAssocWord"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 845
+                    },
+                    "rank": 26
+                },
+                {
+                    "aka": [
+                        "16Bits_GeneratorSyllable"
+                    ],
+                    "comment": "GeneratorSyllable: for a 16 bits assoc. word, and integer",
+                    "filters": [
+                        [
+                            "Is16BitsAssocWord"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 602
+                    },
+                    "rank": 26
+                },
+                {
+                    "aka": [
+                        "8Bits_GeneratorSyllable"
+                    ],
+                    "comment": "GeneratorSyllable: for an 8 bits assoc. word, and an integer",
+                    "filters": [
+                        [
+                            "Is8BitsAssocWord"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 509
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "GeneratorSyllable: for an assoc. word in syllable rep, and a positive integer",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsSyllableAssocWordRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 1494
+                    },
+                    "rank": 25
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "GeneratorSyllable",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SubSyllables"
+        ],
+        "filters": [
+            [
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/wordass.gd",
+                "line": 785
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "SubSyllables: for associative word and two positions, using ext rep.",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordass.gi",
+                        "line": 708
+                    },
+                    "rank": 42
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SubSyllables",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "LetterRepAssocWord",
+            "TietzeWordAbstractWord",
+            "TzWordAbstractWord"
+        ],
+        "filters": [
+            [
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/wordass.gd",
+                "line": 819
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "LetterRepAssocWord: for a straight line program word",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsStraightLineProgElm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1990
+                    },
+                    "rank": 109
+                },
+                {
+                    "comment": "LetterRepAssocWord: B letter rep",
+                    "filters": [
+                        [
+                            "IsBLetterAssocWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 51
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "LetterRepAssocWord: W letter rep",
+                    "filters": [
+                        [
+                            "IsWLetterAssocWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 48
+                    },
+                    "rank": 7
+                },
+                {
+                    "comment": "LetterRepAssocWord: syllable rep",
+                    "filters": [
+                        [
+                            "IsSyllableAssocWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 1370
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "LetterRepAssocWord: letter rep,gens",
+                    "filters": [
+                        [
+                            "IsLetterAssocWordRep"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 74
+                    },
+                    "rank": 10
+                },
+                {
+                    "comment": "LetterRepAssocWord: syllable rep, generators",
+                    "filters": [
+                        [
+                            "IsSyllableAssocWordRep"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 1350
+                    },
+                    "rank": 8
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LetterRepAssocWord",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AbstractWordTzWord",
+            "AssocWordByLetterRep"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/wordass.gd",
+                "line": 851
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "AssocWordByLetterRep: B letter words family",
+                    "filters": [
+                        [
+                            "IsBLetterWordsFamily"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 22
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "AssocWordByLetterRep: W letter words family",
+                    "filters": [
+                        [
+                            "IsWLetterWordsFamily"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 16
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "AssocWordByLetterRep: family, list: syllables",
+                    "filters": [
+                        [
+                            "IsSyllableWordsFamily"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 1410
+                    },
+                    "rank": 7
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "AssocWordByLetterRep: letter words family",
+                    "filters": [
+                        [
+                            "IsLetterWordsFamily"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 45
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "AssocWordByLetterRep: family, list, gens: syllables",
+                    "filters": [
+                        [
+                            "IsSyllableWordsFamily"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 1454
+                    },
+                    "rank": 11
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AssocWordByLetterRep",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SyllableRepAssocWord"
+        ],
+        "filters": [
+            [
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/wordass.gd",
+                "line": 867
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "SyllableRepAssocWord: assoc word in syllable rep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsSyllableAssocWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 368
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "SyllableRepAssocWord: assoc word: via extrep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 365
+                    },
+                    "rank": 5
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SyllableRepAssocWord",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ExponentSums"
+        ],
+        "filters": [
+            [
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/wordass.gd",
+                "line": 925
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "aka": [
+                        "InfBits_ExponentSums1"
+                    ],
+                    "comment": "ExponentSums: for an inf. bits assoc. word",
+                    "filters": [
+                        [
+                            "IsInfBitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 871
+                    },
+                    "rank": 8
+                },
+                {
+                    "aka": [
+                        "32Bits_ExponentSums1"
+                    ],
+                    "comment": "ExponentSums: for a 32 bits assoc. word",
+                    "filters": [
+                        [
+                            "Is32BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 707
+                    },
+                    "rank": 8
+                },
+                {
+                    "aka": [
+                        "16Bits_ExponentSums1"
+                    ],
+                    "comment": "ExponentSums: for a 16 bits assoc. word",
+                    "filters": [
+                        [
+                            "Is16BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 614
+                    },
+                    "rank": 8
+                },
+                {
+                    "aka": [
+                        "8Bits_ExponentSums1"
+                    ],
+                    "comment": "ExponentSums: for an 8 bits assoc. word",
+                    "filters": [
+                        [
+                            "Is8BitsAssocWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 521
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "ExponentSums: assoc word in letter rep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsLetterAssocWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 232
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "ExponentSums: for a group and an assoc. word in syllable rep",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 1559
+                    },
+                    "rank": 40
+                }
+            ],
+            "3args": [
+                {
+                    "aka": [
+                        "InfBits_ExponentSums3"
+                    ],
+                    "comment": "ExponentSums: for an inf. bits assoc. word, and two integers",
+                    "filters": [
+                        [
+                            "IsInfBitsAssocWord"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 892
+                    },
+                    "rank": 45
+                },
+                {
+                    "aka": [
+                        "32Bits_ExponentSums3"
+                    ],
+                    "comment": "ExponentSums: for a 32 bits assoc. word",
+                    "filters": [
+                        [
+                            "Is32BitsAssocWord"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 713
+                    },
+                    "rank": 44
+                },
+                {
+                    "aka": [
+                        "16Bits_ExponentSums3"
+                    ],
+                    "comment": "ExponentSums: for a 16 bits assoc. word, and two integers",
+                    "filters": [
+                        [
+                            "Is16BitsAssocWord"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 620
+                    },
+                    "rank": 44
+                },
+                {
+                    "aka": [
+                        "8Bits_ExponentSums3"
+                    ],
+                    "comment": "ExponentSums: for an 8 bits assoc. word, and two integers",
+                    "filters": [
+                        [
+                            "Is8BitsAssocWord"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordrep.gi",
+                        "line": 527
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ExponentSums: assoc word in letter rep,ints",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsLetterAssocWordRep"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 249
+                    },
+                    "rank": 42
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ExponentSums",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RenumberedWord"
+        ],
+        "filters": [
+            [
+                [
+                    "IsAssociativeElement",
+                    "IsWord"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/wordass.gd",
+                "line": 947
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "RenumberedWord: associative words in letter rep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsLetterAssocWordRep"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordlett.gi",
+                        "line": 624
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "RenumberedWord: associative words in syllable rep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsSyllableAssocWordRep"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/wordass.gi",
+                        "line": 939
+                    },
+                    "rank": 8
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RenumberedWord",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsRowVectorObj"
+                ]
+            ],
+            [
+                [
+                    "IsMatrixObj"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 120
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "BaseDomain: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(BaseDomain)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                        "line": 120
+                    },
+                    "rank": 20012
+                },
+                {
+                    "comment": "BaseDomain: for a plist matrix",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 753
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "BaseDomain: for an 8bit matrix",
+                    "filters": [
+                        [
+                            "Is8BitMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 990
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "BaseDomain: for a gf2 matrix",
+                    "filters": [
+                        [
+                            "IsGF2MatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 2114
+                    },
+                    "rank": 15
+                },
+                {
+                    "comment": "BaseDomain: for a plist vector",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 199
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "BaseDomain: for an 8bit vector",
+                    "filters": [
+                        [
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 988
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "BaseDomain: for a gf2 vector",
+                    "filters": [
+                        [
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 2112
+                    },
+                    "rank": 11
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "BaseDomain",
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+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 2312
+                    },
+                    "rank": -11
+                },
+                {
+                    "comment": "NewRowVector: for IsPlistVectorRep, a ring, and a list",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep",
+                            "IsCheckingVector"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 45
+                    },
+                    "rank": -12
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NewRowVector",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "NewZeroVector"
+        ],
+        "filters": [
+            [
+                [
+                    "IsRowVectorObj"
+                ],
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 296
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "NewZeroVector: for Is8BitVectorRep, GF(q), and an int",
+                    "filters": [
+                        [
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 1159
+                    },
+                    "rank": -11
+                },
+                {
+                    "comment": "NewZeroVector: for IsGF2VectorRep, GF(2), and an int",
+                    "filters": [
+                        [
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 2331
+                    },
+                    "rank": -11
+                },
+                {
+                    "comment": "NewZeroVector: for IsPlistVectorRep, a ring, and an int",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep",
+                            "IsCheckingVector"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 55
+                    },
+                    "rank": -12
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NewZeroVector",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ChangedBaseDomain"
+        ],
+        "filters": [
+            [
+                [
+                    "IsRowVectorObj"
+                ],
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ],
+            [
+                [
+                    "IsMatrixObj"
+                ],
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 300
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 637
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ChangedBaseDomain: for an 8bit matrix and a finite field",
+                    "filters": [
+                        [
+                            "Is8BitMatrixRep"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 1240
+                    },
+                    "rank": 73
+                },
+                {
+                    "comment": "ChangedBaseDomain: for a gf2 matrix and a finite field",
+                    "filters": [
+                        [
+                            "IsGF2MatrixRep"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 2399
+                    },
+                    "rank": 73
+                },
+                {
+                    "comment": "ChangedBaseDomain: for an 8bit vector and a finite field",
+                    "filters": [
+                        [
+                            "Is8BitVectorRep"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 1228
+                    },
+                    "rank": 69
+                },
+                {
+                    "comment": "ChangedBaseDomain: for a gf2 vector and a finite field",
+                    "filters": [
+                        [
+                            "IsGF2VectorRep"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 2387
+                    },
+                    "rank": 69
+                },
+                {
+                    "comment": "ChangedBaseDomain: for a checking plist matrix, and a domain",
+                    "filters": [
+                        [
+                            "IsPlistMatrixRep",
+                            "IsCheckingMatrix"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1845
+                    },
+                    "rank": 42
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsPlistMatrixRep"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1838
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "ChangedBaseDomain: for a checking plist vector, and a domain",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep",
+                            "IsCheckingVector"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1831
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "ChangedBaseDomain: for a plist vector, and a domain",
+                    "filters": [
+                        [
+                            "IsPlistVectorRep"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/matobjplist.gi",
+                        "line": 1825
+                    },
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+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                [
+                    "IsMutable",
+                    "IsRowVectorObj"
+                ]
+            ],
+            [
+                [
+                    "IsMutable",
+                    "IsRowVectorObj"
+                ],
+                [
+                    "IsRandomSource"
+                ]
+            ],
+            [
+                [
+                    "IsMutable",
+                    "IsMatrixObj"
+                ]
+            ],
+            [
+                [
+                    "IsMutable",
+                    "IsMatrixObj"
+                ],
+                [
+                    "IsRandomSource"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 315
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 320
+            },
+            {
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+                "line": 653
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/matobj2.gd",
+                "line": 654
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+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsPlistMatrixRep"
+                        ]
+                    ],
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+                        "line": 1645
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMutable",
+                            "Is8BitMatrixRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vec8bit.gi",
+                        "line": 1076
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsGF2MatrixRep"
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+                    "filters": [
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+                            "IsMutable",
+                            "IsPlistVectorRep"
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+                    "filters": [
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+                            "IsMutable",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
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+                },
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+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsGF2VectorRep"
+                        ]
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+                        "line": 2132
+                    },
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+                }
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+                    "filters": [
+                        [
+                            "IsMutable",
+                            "Is8BitMatrixRep"
+                        ],
+                        [
+                            "IsRandomSource"
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+                            "IsGF2MatrixRep"
+                        ],
+                        [
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+                        [
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+                    "filters": [
+                        [
+                            "IsMutable",
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+                        ],
+                        [
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+                            "IsRDistributive",
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+                            "Tester(IsFinite)",
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+                        [
+                            "IsRewritingSystem",
+                            "IsBuiltFromMonoid",
+                            "Tester(IsBuiltFromMonoid)"
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+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/rwssmg.gi",
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+                    "filters": [
+                        [
+                            "IsRewritingSystem",
+                            "IsBuiltFromSemigroup",
+                            "Tester(IsBuiltFromSemigroup)"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/rwssmg.gi",
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "aka": [
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+            [
+                [
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+                []
+            ]
+        ],
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+                    "filters": [
+                        [
+                            "IsRewritingSystem"
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+                        []
+                    ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+                        [
+                            "IsFinite",
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+                            "IsPowerConjugateCollector",
+                            "IsSingleCollectorRep"
+                        ],
+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
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+                        [
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "IsDeepThoughtCollectorRep"
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+                        [
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+                        [
+                            "IsRewritingSystem",
+                            "IsBuiltFromMagmaWithInverses",
+                            "Tester(IsBuiltFromMagmaWithInverses)"
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+                        [
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+                    ],
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+            "6args": []
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+            [
+                [
+                    "IsRewritingSystem"
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+                [
+                    "IsMultiplicativeElement"
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+                [
+                    "IsMultiplicativeElement"
+                ]
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+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
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+                            "IsUpToDatePolycyclicCollector",
+                            "Is32BitsSingleCollectorRep",
+                            "IsDefaultRhsTypeSingleCollector"
+                        ],
+                        [
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+                        [
+                            "Is32BitsAssocWord"
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+                    ],
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+                    "comment": "ReducedLeftQuotient",
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+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is16BitsSingleCollectorRep",
+                            "IsDefaultRhsTypeSingleCollector"
+                        ],
+                        [
+                            "Is16BitsAssocWord"
+                        ],
+                        [
+                            "Is16BitsAssocWord"
+                        ]
+                    ],
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+                        "line": 1576
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+                },
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+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is8BitsSingleCollectorRep",
+                            "IsDefaultRhsTypeSingleCollector"
+                        ],
+                        [
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+                        [
+                            "Is8BitsAssocWord"
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+                        [
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
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+                        [
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+                            "IsAssociativeElement",
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+                        [
+                            "IsRewritingSystem",
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+                            "Tester(IsBuiltFromMagmaWithInverses)"
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+                        [
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+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
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+            [
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+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsSingleCollectorRep"
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+                    ],
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+                    "filters": [
+                        [
+                            "IsRewritingSystem",
+                            "IsBuiltFromMagmaWithOne",
+                            "Tester(IsBuiltFromMagmaWithOne)"
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+                        [
+                            "IsRewritingSystem",
+                            "IsBuiltFromAdditiveMagmaWithInverses",
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+            [
+                [
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+                [
+                    "IsMultiplicativeElement"
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+                [
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+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is32BitsSingleCollectorRep",
+                            "IsDefaultRhsTypeSingleCollector"
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+                        [
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+                        [
+                            "IsInt",
+                            "IsSmallIntRep"
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+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is16BitsSingleCollectorRep",
+                            "IsDefaultRhsTypeSingleCollector"
+                        ],
+                        [
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+                        [
+                            "IsInt",
+                            "IsSmallIntRep"
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+                    ],
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+                        "line": 1674
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+                },
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+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is8BitsSingleCollectorRep",
+                            "IsDefaultRhsTypeSingleCollector"
+                        ],
+                        [
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+                        [
+                            "IsInt",
+                            "IsSmallIntRep"
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+                        "line": 1674
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+                    "filters": [
+                        [
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "IsDeepThoughtCollectorRep"
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+                        [
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+                            "IsWord"
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+                        [
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+                        [
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+                        [
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+                        [
+                            "IsRewritingSystem",
+                            "IsBuiltFromGroup",
+                            "Tester(IsBuiltFromGroup)"
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+                        [
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+                        [
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+                [
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+                [
+                    "IsMultiplicativeElement"
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+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
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+                            "IsUpToDatePolycyclicCollector",
+                            "Is32BitsSingleCollectorRep",
+                            "IsDefaultRhsTypeSingleCollector"
+                        ],
+                        [
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+                        [
+                            "Is32BitsAssocWord"
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+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is16BitsSingleCollectorRep",
+                            "IsDefaultRhsTypeSingleCollector"
+                        ],
+                        [
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+                        [
+                            "Is16BitsAssocWord"
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+                    ],
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+                        "line": 1632
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+                    "rank": 37
+                },
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+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is8BitsSingleCollectorRep",
+                            "IsDefaultRhsTypeSingleCollector"
+                        ],
+                        [
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+                        [
+                            "Is8BitsAssocWord"
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+                        "line": 1632
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+                    "filters": [
+                        [
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "IsDeepThoughtCollectorRep"
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+                        [
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+                            "IsWord"
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+                        [
+                            "IsAssociativeElement",
+                            "IsWord"
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+                            "IsRewritingSystem",
+                            "IsBuiltFromMagma",
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+                        [
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+                        [
+                            "IsMultiplicativeElement"
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+                [
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+                [
+                    "IsMultiplicativeElement"
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+                        [
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+                            "IsUpToDatePolycyclicCollector",
+                            "Is32BitsSingleCollectorRep",
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+                        ],
+                        [
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+                        [
+                            "Is32BitsAssocWord"
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+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is16BitsSingleCollectorRep",
+                            "IsDefaultRhsTypeSingleCollector"
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+                        [
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+                        [
+                            "Is16BitsAssocWord"
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+                        [
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+                            "Tester(IsFinite)",
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "Is8BitsSingleCollectorRep",
+                            "IsDefaultRhsTypeSingleCollector"
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+                        [
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+                        [
+                            "Is8BitsAssocWord"
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+                        [
+                            "IsPowerConjugateCollector",
+                            "IsUpToDatePolycyclicCollector",
+                            "IsDeepThoughtCollectorRep"
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+                        [
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+                        [
+                            "IsRewritingSystem",
+                            "IsBuiltFromMagmaWithInverses",
+                            "Tester(IsBuiltFromMagmaWithInverses)"
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+                        [
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+                        [
+                            "IsPolynomialFunction"
+                        ],
+                        [
+                            "IsMonomialOrdering"
+                        ]
+                    ],
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+                        "line": 536
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+            ],
+            [
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+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
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+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
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+                    "Tester(IsRDistributive)",
+                    "Tester(LeftActingRingOfIdeal)",
+                    "Tester(RightActingRingOfIdeal)",
+                    "CategoryCollections(IsRationalFunction)"
+                ],
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+                "file": "/home/makx/ac/gap/lib/groebner.gd",
+                "line": 485
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+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
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+                            "Tester(RightActingRingOfIdeal)",
+                            "CategoryCollections(IsRationalFunction)",
+                            "Tester(StoredGroebnerBasis)"
+                        ],
+                        [
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+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
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+                            "Tester(RightActingRingOfIdeal)",
+                            "CategoryCollections(IsRationalFunction)"
+                        ],
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+                        "line": 1066
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+            "5args": [],
+            "6args": []
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+            [
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+                "line": 535
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+                "file": "/home/makx/ac/gap/lib/groebner.gd",
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+                        [
+                            "IsMagma",
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+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
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+                            "Tester(IsRDistributive)",
+                            "Tester(LeftActingRingOfIdeal)",
+                            "Tester(RightActingRingOfIdeal)",
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+                        ],
+                        [
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+                        [
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+                            "Tester(IsAdditivelyCommutative)",
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+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "Tester(LeftActingRingOfIdeal)",
+                            "Tester(RightActingRingOfIdeal)",
+                            "CategoryCollections(IsRationalFunction)"
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+                            "IsNearAdditiveGroup",
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+                    "Tester(IsRDistributive)",
+                    "Tester(LeftActingRingOfIdeal)",
+                    "Tester(RightActingRingOfIdeal)",
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+                        "line": 557
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+                        "line": 557
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+            "4args": [],
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+            "6args": []
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+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
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+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "Tester(LeftActingRingOfIdeal)",
+                    "Tester(RightActingRingOfIdeal)",
+                    "CategoryCollections(IsRationalFunction)"
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+                [
+                    "IsList"
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+                        [
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+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
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+                            "IsFamily"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
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+                {
+                    "comment": "PcgsByPcSequence",
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+                        [
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+                {
+                    "comment": "PcgsByPcSequence",
+                    "filters": [
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+                            "IsFamily"
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+                        [
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+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
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+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
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+                        [
+                            "IsFamily"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
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+                    "filters": [
+                        [
+                            "IsElementsFamilyByRws",
+                            "Tester(DefiningPcgs)"
+                        ],
+                        [
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+                {
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+                    "filters": [
+                        [
+                            "IsElementsFamilyByRws"
+                        ],
+                        [
+                            "IsHomogeneousList"
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+                        [
+                            "IsFamily"
+                        ],
+                        [
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+            "5args": [],
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+            [
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+                [
+                    "IsFamily"
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+                [
+                    "IsList"
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+                [
+                    "IsList"
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+                    "filters": [
+                        [
+                            "IsPcgsDefaultRep"
+                        ],
+                        [],
+                        [
+                            "IsFamily"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
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+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 200
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(PcGroupWithPcgs)"
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+                        "line": 200
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsPcgs"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1224
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsModuloPcgs"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
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+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                []
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+                    "filters": [
+                        [
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+                        "line": 200
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+                {
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
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+                "line": 200
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(GroupOfPcgs)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 220
+                    },
+                    "rank": 20024
+                },
+                {
+                    "comment": "GroupOfPcgs",
+                    "filters": [
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+                            "IsPcgs",
+                            "IsPcgsPermGroupRep"
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+                        "line": 814
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+                },
+                {
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+                {
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+                ],
+                []
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+        ],
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+                "line": 220
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+                    "filters": [
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 220
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(GroupOfPcgs): default method, does nothing",
+                    "filters": [
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 220
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+                    "rank": 0
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+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+        "locations": [
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+                "line": 220
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
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+                ]
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+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 253
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(OneOfPcgs)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 253
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "OneOfPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        "filters": [
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+                ],
+                []
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 253
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+        ],
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+                    "comment": "Setter(OneOfPcgs): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 253
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(OneOfPcgs): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 253
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+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(OneOfPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
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+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 253
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+        ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
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+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 270
+            }
+        ],
+        "methods": {
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(PcSeries)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 270
+                    },
+                    "rank": 20024
+                },
+                {
+                    "comment": "PcSeries",
+                    "filters": [
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+                            "IsPcgs",
+                            "IsPcgsPermGroupRep"
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+                    "location": {
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+                        "line": 832
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "PcSeries: construct subgroups",
+                    "filters": [
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+                            "IsPcgs"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 213
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+                    "rank": 21
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
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+        "aka": [
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+                []
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+        ],
+        "locations": [
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+                "line": 270
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 270
+                    },
+                    "rank": 2
+                },
+                {
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+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
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+                        "line": 270
+                    },
+                    "rank": 0
+                }
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+        ],
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+                [
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+                ]
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+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 270
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(PcSeries)",
+        "type": "GAP_Operation"
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+    {
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 289
+            }
+        ],
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+                {
+                    "comment": "IsPcgsElementaryAbelianSeries: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsPcgsElementaryAbelianSeries)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 289
+                    },
+                    "rank": 20024
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1569
+                    },
+                    "rank": 21
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsPcgsElementaryAbelianSeries",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsPcgsElementaryAbelianSeries"
+        ],
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+                    "IsPcgs"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 289
+            }
+        ],
+        "methods": {
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+            "2args": [
+                {
+                    "comment": "Setter(IsPcgsElementaryAbelianSeries): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 289
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsPcgsElementaryAbelianSeries): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 289
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsPcgsElementaryAbelianSeries)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 289
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsPcgsElementaryAbelianSeries)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 312
+            }
+        ],
+        "methods": {
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+            "1args": [
+                {
+                    "comment": "PcgsElementaryAbelianSeries: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(PcgsElementaryAbelianSeries)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 312
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "PcgsElementaryAbelianSeries: for direct products",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(DirectProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 401
+                    },
+                    "rank": 95
+                },
+                {
+                    "comment": "PcgsElementaryAbelianSeries: perm group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 1180
+                    },
+                    "rank": 55
+                },
+                {
+                    "aka": [
+                        "PcgsElAbSerFromSpecPcgs"
+                    ],
+                    "comment": "PcgsElementaryAbelianSeries: for PCgroups via SpecialPcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gi",
+                        "line": 996
+                    },
+                    "rank": 43
+                },
+                {
+                    "aka": [
+                        "DoPcgsElementaryAbelianSeries"
+                    ],
+                    "comment": "PcgsElementaryAbelianSeries: generic group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1650
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "PcgsElementaryAbelianSeries: if special pcgs is known",
+                    "filters": [
+                        [
+                            "Tester(SpecialPcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gi",
+                        "line": 996
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "PcgsElementaryAbelianSeries: group list",
+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1650
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "PcgsElementaryAbelianSeries: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 312
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PcgsElementaryAbelianSeries",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetPcgsElementaryAbelianSeries"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 312
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(PcgsElementaryAbelianSeries): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 312
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(PcgsElementaryAbelianSeries): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 312
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(PcgsElementaryAbelianSeries)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasPcgsElementaryAbelianSeries"
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+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 312
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(PcgsElementaryAbelianSeries)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 349
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IndicesEANormalSteps: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IndicesEANormalSteps)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 349
+                    },
+                    "rank": 20024
+                },
+                {
+                    "comment": "IndicesEANormalSteps: special pcgs: LGFirst",
+                    "filters": [
+                        [
+                            "IsSpecialPcgs",
+                            "Tester(IsSpecialPcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gi",
+                        "line": 956
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "IndicesEANormalSteps: inherit from parent",
+                    "filters": [
+                        [
+                            "IsInducedPcgs",
+                            "Tester(ParentPcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 1719
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "IndicesEANormalSteps: compatibility only",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "Tester(IndicesNormalSteps)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1486
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+                    "rank": 0
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                "line": 349
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 349
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+                    "rank": 2
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+                {
+                    "comment": "Setter(IndicesEANormalSteps): default method, does nothing",
+                    "filters": [
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 349
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+                    "rank": 0
+                }
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
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+        "aka": [
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+        "filters": [
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+                    "IsPcgs"
+                ]
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+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 349
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+            "5args": [],
+            "6args": []
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+        "name": "Tester(IndicesEANormalSteps)",
+        "type": "GAP_Operation"
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+    {
+        "filters": [
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+                ]
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+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 369
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+            "1args": [
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+                    "comment": "EANormalSeriesByPcgs: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(EANormalSeriesByPcgs)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 369
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+                {
+                    "aka": [
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+                    "filters": [
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+                            "Tester(IsPcgsElementaryAbelianSeries)",
+                            "IsModuloPcgsPermGroupRep"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 503
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+                {
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+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPcgsElementaryAbelianSeries",
+                            "Tester(IsPcgsElementaryAbelianSeries)",
+                            "IsPcgsPermGroupRep"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 503
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+                {
+                    "comment": "EANormalSeriesByPcgs: from indices",
+                    "filters": [
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+                            "IsPcgs",
+                            "Tester(IndicesEANormalSteps)",
+                            "IsPcgsPermGroupRep"
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+                        "line": 1486
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+                    "rank": 28
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+                {
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+                    "filters": [
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+                            "IsPcgs",
+                            "Tester(PcSeries)",
+                            "Tester(IndicesEANormalSteps)"
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+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1486
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+                {
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+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "Tester(IndicesEANormalSteps)"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1486
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+                    "filters": [
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+                            "IsPcgs",
+                            "Tester(IndicesNormalSteps)"
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+                        "line": 1486
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+            "6args": []
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+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 369
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+                    "comment": "Setter(EANormalSeriesByPcgs): system setter",
+                    "filters": [
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+                        "line": 369
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+                {
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+                    "filters": [
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+                        []
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 369
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+            "5args": [],
+            "6args": []
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+                "line": 369
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+                    "filters": [
+                        [
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+                            "Tester(IsPcgsCentralSeries)"
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+                        "line": 388
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+            "5args": [],
+            "6args": []
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+                    "filters": [
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+                            "IsAttributeStoringRep"
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+                        "line": 388
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+                {
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+                    "filters": [
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+                    "location": {
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+                        "line": 388
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+            "5args": [],
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+                    "filters": [
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+                            "IsAttributeStoringRep",
+                            "Tester(PcgsCentralSeries)"
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+                        "line": 407
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(DirectProductInfo)"
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+                        "line": 413
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+                    "filters": [
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+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        "line": 1279
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
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+                    "filters": [
+                        [
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+                        "line": 968
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+                        "line": 968
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+            "5args": [],
+            "6args": []
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+                    "Tester(IsAssociative)"
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+                "line": 407
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+                    "filters": [
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+                        "line": 407
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+                },
+                {
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+                    "filters": [
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+                        []
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+                        "line": 407
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "Tester(IsAssociative)"
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+                "line": 407
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                "line": 444
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+                    "filters": [
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+                            "IsAttributeStoringRep",
+                            "Tester(IndicesCentralNormalSteps)"
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+                        "line": 444
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+                    "filters": [
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+                            "IsPcgs",
+                            "Tester(IndicesNormalSteps)"
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+                        "line": 1489
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "IsPcgs"
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+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 444
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+            "2args": [
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+                    "comment": "Setter(IndicesCentralNormalSteps): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                        "line": 444
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+                },
+                {
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+                    "filters": [
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+                    "location": {
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+                        "line": 444
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IndicesCentralNormalSteps)",
+        "type": "GAP_Operation"
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+                    "IsPcgs"
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+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 444
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IndicesCentralNormalSteps)",
+        "type": "GAP_Operation"
+    },
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+        "filters": [
+            [
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+                "line": 464
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(CentralNormalSeriesByPcgs)"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 464
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+                    "rank": 20024
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "Tester(IndicesCentralNormalSteps)",
+                            "IsPcgsPermGroupRep"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1489
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+                {
+                    "comment": "CentralNormalSeriesByPcgs: from PcSeries",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "Tester(PcSeries)",
+                            "Tester(IndicesCentralNormalSteps)"
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+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1489
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+                {
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+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "Tester(IndicesCentralNormalSteps)"
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+                    "location": {
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+                        "line": 1489
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+                {
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+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "Tester(IndicesNormalSteps)"
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+                        "line": 1489
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+        "filters": [
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+        "locations": [
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+                "line": 464
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
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+                        "line": 464
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(CentralNormalSeriesByPcgs): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 464
+                    },
+                    "rank": 0
+                }
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(CentralNormalSeriesByPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+                    "IsPcgs"
+                ]
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+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 464
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(CentralNormalSeriesByPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 483
+            }
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+            "1args": [
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+                    "comment": "IsPcgsPCentralSeriesPGroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsPcgsPCentralSeriesPGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 483
+                    },
+                    "rank": 20024
+                }
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsPcgsPCentralSeriesPGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsPcgsPCentralSeriesPGroup"
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+            [
+                [
+                    "IsPcgs"
+                ],
+                [
+                    "IsBool"
+                ]
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+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 483
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
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+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 483
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsPcgsPCentralSeriesPGroup): default method, does nothing",
+                    "filters": [
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 483
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+                    "rank": 0
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsPcgsPCentralSeriesPGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
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+                    "IsPcgs"
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+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 483
+            }
+        ],
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+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsPcgsPCentralSeriesPGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 502
+            }
+        ],
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+            "1args": [
+                {
+                    "comment": "PcgsPCentralSeriesPGroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(PcgsPCentralSeriesPGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 502
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "PcgsPCentralSeriesPGroup: for direct products",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(DirectProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 434
+                    },
+                    "rank": 95
+                },
+                {
+                    "comment": "PcgsPCentralSeriesPGroup: for permgrp",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpperm.gi",
+                        "line": 1297
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "PcgsPCentralSeriesPGroup: for pc groups use SpecialPcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gi",
+                        "line": 974
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "PcgsPCentralSeriesPGroup: for pcgs computable use SpecialPcgs",
+                    "filters": [
+                        [
+                            "CanEasilyComputePcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gi",
+                        "line": 974
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "PcgsPCentralSeriesPGroup: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 502
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+                    "rank": 0
+                }
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        "filters": [
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
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+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 502
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+            "1args": [],
+            "2args": [
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+                    "comment": "Setter(PcgsPCentralSeriesPGroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 502
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+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(PcgsPCentralSeriesPGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 502
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+                    "rank": 0
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(PcgsPCentralSeriesPGroup)",
+        "type": "GAP_Operation"
+    },
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+        "aka": [
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+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
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+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 502
+            }
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(PcgsPCentralSeriesPGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 539
+            }
+        ],
+        "methods": {
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+            "1args": [
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IndicesPCentralNormalStepsPGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 539
+                    },
+                    "rank": 20024
+                },
+                {
+                    "comment": "IndicesPCentralNormalStepsPGroup: compatibility only",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "Tester(IndicesNormalSteps)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1491
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IndicesPCentralNormalStepsPGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIndicesPCentralNormalStepsPGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 539
+            }
+        ],
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+            "1args": [],
+            "2args": [
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 539
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IndicesPCentralNormalStepsPGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 539
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IndicesPCentralNormalStepsPGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 539
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+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IndicesPCentralNormalStepsPGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 559
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "PCentralNormalSeriesByPcgsPGroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(PCentralNormalSeriesByPcgsPGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 559
+                    },
+                    "rank": 20024
+                },
+                {
+                    "comment": "PCentralNormalSeriesByPcgsPGroup: from indices",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "Tester(IndicesPCentralNormalStepsPGroup)",
+                            "IsPcgsPermGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1491
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "PCentralNormalSeriesByPcgsPGroup: from PcSeries",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "Tester(PcSeries)",
+                            "Tester(IndicesPCentralNormalStepsPGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1491
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PCentralNormalSeriesByPcgsPGroup: from indices",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "Tester(IndicesPCentralNormalStepsPGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1491
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "PCentralNormalSeriesByPcgsPGroup: compatibility only",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "Tester(IndicesNormalSteps)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1491
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PCentralNormalSeriesByPcgsPGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetPCentralNormalSeriesByPcgsPGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 559
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(PCentralNormalSeriesByPcgsPGroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 559
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(PCentralNormalSeriesByPcgsPGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 559
+                    },
+                    "rank": 0
+                }
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(PCentralNormalSeriesByPcgsPGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasPCentralNormalSeriesByPcgsPGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 559
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(PCentralNormalSeriesByPcgsPGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 577
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsPcgsChiefSeries: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsPcgsChiefSeries)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 577
+                    },
+                    "rank": 20024
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsPcgsChiefSeries",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsPcgsChiefSeries"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 577
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsPcgsChiefSeries): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 577
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsPcgsChiefSeries): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 577
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsPcgsChiefSeries)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 577
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsPcgsChiefSeries)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 595
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "PcgsChiefSeries: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(PcgsChiefSeries)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 595
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "PcgsChiefSeries: for direct products",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(DirectProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 422
+                    },
+                    "rank": 95
+                },
+                {
+                    "comment": "PcgsChiefSeries: compute chief series and pcgs",
+                    "filters": [
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+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
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+                [
+                    "IsGeneralPcgs"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 745
+            }
+        ],
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+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsFiniteOrdersPcgs): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 745
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsFiniteOrdersPcgs): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 745
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+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsFiniteOrdersPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralPcgs"
+                ]
+            ]
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+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 745
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsFiniteOrdersPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 762
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "RefinedPcGroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RefinedPcGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 762
+                    },
+                    "rank": 20039
+                },
+                {
+                    "comment": "RefinedPcGroup: group with refined pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 244
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "RefinedPcGroup: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 762
+                    },
+                    "rank": 7
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 762
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(RefinedPcGroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 762
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(RefinedPcGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 762
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(RefinedPcGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 762
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(RefinedPcGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 780
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsomorphismRefinedPcGroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsomorphismRefinedPcGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 780
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "IsomorphismRefinedPcGroup: group with refined pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 323
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "IsomorphismRefinedPcGroup: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 780
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsomorphismRefinedPcGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsomorphismRefinedPcGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 780
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsomorphismRefinedPcGroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 780
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsomorphismRefinedPcGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                        "line": 780
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsomorphismRefinedPcGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasIsomorphismRefinedPcGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 780
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsomorphismRefinedPcGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "DepthOfPcElement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 814
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "DepthOfPcElement: handled by nice monomorphism: attribute CollElm",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsnice.gi",
+                        "line": 43
+                    },
+                    "rank": 360
+                },
+                {
+                    "aka": [
+                        "32Bits_DepthOfPcElement"
+                    ],
+                    "comment": "DepthOfPcElement: family pcgs (32 bits)",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws",
+                            "Is32BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 750
+                    },
+                    "rank": 185
+                },
+                {
+                    "aka": [
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+                    ],
+                    "comment": "DepthOfPcElement: family pcgs (16 bits)",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws",
+                            "Is16BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 645
+                    },
+                    "rank": 185
+                },
+                {
+                    "aka": [
+                        "8Bits_DepthOfPcElement"
+                    ],
+                    "comment": "DepthOfPcElement: family pcgs (8 bits)",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws",
+                            "Is8BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 520
+                    },
+                    "rank": 185
+                },
+                {
+                    "comment": "DepthOfPcElement: family pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 291
+                    },
+                    "rank": 82
+                },
+                {
+                    "comment": "DepthOfPcElement: for pcgs of direct product",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPcgsDirectProductRep"
+                        ],
+                        [
+                            "IsDirectProductElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 481
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "DepthOfPcElement: permpcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsPcgsPermGroupRep"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 976
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "DepthOfPcElement: pcgs by pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPcgsByPcgsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1698
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "DepthOfPcElement: sorted pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsSortedPcgsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 915
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "DepthOfPcElement: induced pcgs",
+                    "filters": [
+                        [
+                            "IsInducedPcgs",
+                            "IsInducedPcgsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 1285
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "DepthOfPcElement: unsorted pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsUnsortedPcgsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 905
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "DepthOfPcElement: pcgs modulo pcgs",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsModuloPcgsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 737
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "DepthOfPcElement: generic methods, ExponentsOfPcElement",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 358
+                    },
+                    "rank": 21
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "DepthOfPcElement",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsnice.gi",
+                        "line": 53
+                    },
+                    "rank": 379
+                },
+                {
+                    "comment": "DepthOfPcElement: permpcgs,start",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsPcgsPermGroupRep"
+                        ],
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 990
+                    },
+                    "rank": 56
+                },
+                {
+                    "comment": "DepthOfPcElement: pcgs modulo pcgs, ignoring <min>",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 399
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "DepthOfPcElement: pcgs modulo pcgs, ignoring <min>",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 526
+                    },
+                    "rank": 38
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "DepthOfPcElement",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "DifferenceOfPcElement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 827
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "DifferenceOfPcElement: generic methods, PcElementByExponents/ExponentsOfPcElement",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 417
+                    },
+                    "rank": 21
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "DifferenceOfPcElement",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ExponentOfPcElement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                [],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 845
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "ExponentOfPcElement: via nicoemorphism",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsnice.gi",
+                        "line": 99
+                    },
+                    "rank": 379
+                },
+                {
+                    "aka": [
+                        "32Bits_ExponentOfPcElement"
+                    ],
+                    "comment": "ExponentOfPcElement: family pcgs (32bits)",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws",
+                            "Is32BitsPcWordRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 764
+                    },
+                    "rank": 204
+                },
+                {
+                    "aka": [
+                        "16Bits_ExponentOfPcElement"
+                    ],
+                    "comment": "ExponentOfPcElement: family pcgs (16bits)",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws",
+                            "Is16BitsPcWordRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 658
+                    },
+                    "rank": 204
+                },
+                {
+                    "aka": [
+                        "8Bits_ExponentOfPcElement"
+                    ],
+                    "comment": "ExponentOfPcElement: family pcgs (8bits)",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws",
+                            "Is8BitsPcWordRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 533
+                    },
+                    "rank": 204
+                },
+                {
+                    "comment": "ExponentOfPcElement",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsPcgsPermGroupRep"
+                        ],
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 1037
+                    },
+                    "rank": 56
+                },
+                {
+                    "comment": "ExponentOfPcElement: induced pcgs",
+                    "filters": [
+                        [
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsInducedPcgs",
+                            "IsInducedPcgsRep"
+                        ],
+                        [],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 1328
+                    },
+                    "rank": 49
+                },
+                {
+                    "comment": "ExponentOfPcElement: sorted pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsSortedPcgsRep"
+                        ],
+                        [],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 1013
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "ExponentOfPcElement: unsorted pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsUnsortedPcgsRep"
+                        ],
+                        [],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 989
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ExponentOfPcElement: pcgs modulo tail-pcgs, ExponentsOfPcElement",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsModuloTailPcgsRep"
+                        ],
+                        [],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 957
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ExponentOfPcElement: generic method, ExponentsOfPcElement",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 434
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "ExponentOfPcElement: pcgs modulo pcgs, ExponentsOfPcElement",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 538
+                    },
+                    "rank": 39
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ExponentOfPcElement",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ExponentsOfPcElement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 864
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ExponentsOfPcElement: handled by nice monomorphism: attribute CollElm",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsnice.gi",
+                        "line": 67
+                    },
+                    "rank": 360
+                },
+                {
+                    "aka": [
+                        "32Bits_ExponentsOfPcElement"
+                    ],
+                    "comment": "ExponentsOfPcElement: family pcgs/32 bit",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "Is32BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 772
+                    },
+                    "rank": 179
+                },
+                {
+                    "aka": [
+                        "16Bits_ExponentsOfPcElement"
+                    ],
+                    "comment": "ExponentsOfPcElement: family pcgs/16 bit",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "Is16BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 666
+                    },
+                    "rank": 179
+                },
+                {
+                    "aka": [
+                        "8Bits_ExponentsOfPcElement"
+                    ],
+                    "comment": "ExponentsOfPcElement: family pcgs/8 bit",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "Is8BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 541
+                    },
+                    "rank": 179
+                },
+                {
+                    "comment": "ExponentsOfPcElement: family pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 315
+                    },
+                    "rank": 82
+                },
+                {
+                    "comment": "ExponentsOfPcElement: for pcgs of direct product",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPcgsDirectProductRep"
+                        ],
+                        [
+                            "IsDirectProductElement"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 455
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "ExponentsOfPcElement: perm group",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsPcgsPermGroupRep"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 1010
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "ExponentsOfPcElement: subset of induced pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsSubsetInducedPcgsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 1473
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "ExponentsOfPcElement: induced pcgs",
+                    "filters": [
+                        [
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsInducedPcgs",
+                            "IsInducedPcgsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 1366
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "ExponentsOfPcElement: fp",
+                    "filters": [
+                        [
+                            "IsModuloPcgsFpGroupRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 1181
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "ExponentsOfPcElement: pcgs by pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPcgsByPcgsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1688
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "ExponentsOfPcElement: sorted pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsSortedPcgsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 1214
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "ExponentsOfPcElement: subset induced pcgs modulo tail-pcgs",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsModuloTailPcgsRep",
+                            "IsNumeratorParentForExponentsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 1163
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "ExponentsOfPcElement: unsorted pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsUnsortedPcgsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 1089
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "ExponentsOfPcElement: pcgs modulo tail-pcgs",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsModuloTailPcgsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 932
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "ExponentsOfPcElement: modpcgs numerator parent layers",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsModuloPcgsRep",
+                            "IsNumeratorParentLayersForExponentsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 861
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "ExponentsOfPcElement: pcgs modulo pcgs",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsModuloPcgsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 791
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "ExponentsOfPcElement: pc series",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgscomp.gi",
+                        "line": 169
+                    },
+                    "rank": 21
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "ExponentsOfPcElement",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsnice.gi",
+                        "line": 77
+                    },
+                    "rank": 389
+                },
+                {
+                    "comment": "ExponentsOfPcElement: perm group with 0 positions",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsnice.gi",
+                        "line": 85
+                    },
+                    "rank": 377
+                },
+                {
+                    "comment": "ExponentsOfPcElement: family pcgs/32 bit",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "Is32BitsPcWordRep"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 782
+                    },
+                    "rank": 181
+                },
+                {
+                    "comment": "ExponentsOfPcElement: family pcgs/16 bit",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "Is16BitsPcWordRep"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 677
+                    },
+                    "rank": 181
+                },
+                {
+                    "comment": "ExponentsOfPcElement: family pcgs/8 bit",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "Is8BitsPcWordRep"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 560
+                    },
+                    "rank": 181
+                },
+                {
+                    "comment": "ExponentsOfPcElement: perm group with positions",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsPcgsPermGroupRep"
+                        ],
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 1019
+                    },
+                    "rank": 66
+                },
+                {
+                    "comment": "ExponentsOfPcElement: perm group with 0 positions",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsPcgsPermGroupRep"
+                        ],
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 1026
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "ExponentsOfPcElement: subset of induced pcgs, subrange",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsSubsetInducedPcgsRep"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 1488
+                    },
+                    "rank": 32
+                },
+                {
+                    "comment": "ExponentsOfPcElement: induced pcgs, subrange",
+                    "filters": [
+                        [
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsInducedPcgs",
+                            "IsInducedPcgsRep"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 1415
+                    },
+                    "rank": 32
+                },
+                {
+                    "aka": [
+                        "ExpPcElmSortedFun"
+                    ],
+                    "comment": "ExponentsOfPcElement: sorted pcgs/range",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsSortedPcgsRep"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 1218
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "ExponentsOfPcElement: subset induced pcgs modulo tail-pcgs, subrange",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsModuloTailPcgsRep",
+                            "IsNumeratorParentForExponentsRep"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 1150
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "ExponentsOfPcElement: unsorted pcgs/range",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsUnsortedPcgsRep"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 1172
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "ExponentsOfPcElement: pcgs modulo tail-pcgs, subrange",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsModuloTailPcgsRep"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 943
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "ExponentsOfPcElement: pcgs modulo pcgs, subrange",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsModuloPcgsRep"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 920
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "ExponentsOfPcElement: with positions, falling back to ExponentsOfPcElement",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 451
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ExponentsOfPcElement: pcgs mod. pcgs,range, falling back to Exp.OfPcElement",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 550
+                    },
+                    "rank": 22
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ExponentsOfPcElement",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ExponentsOfConjugate"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 886
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "ExponentsOfConjugate: family pcgs: look up",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 841
+                    },
+                    "rank": 114
+                },
+                {
+                    "comment": "ExponentsOfConjugate: subset induced pcgs modulo tail-pcgs",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsModuloTailPcgsRep",
+                            "IsNumeratorParentForExponentsRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 1178
+                    },
+                    "rank": 64
+                },
+                {
+                    "comment": "ExponentsOfConjugate: generic: compute conjugate",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 464
+                    },
+                    "rank": 58
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ExponentsOfConjugate",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ExponentsOfRelativePower"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 909
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ExponentsOfRelativePower: family pcgs: look up",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 856
+                    },
+                    "rank": 95
+                },
+                {
+                    "comment": "ExponentsOfRelativePower: subset induced pcgs modulo tail-pcgs",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsModuloTailPcgsRep",
+                            "IsNumeratorParentForExponentsRep"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 1192
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "ExponentsOfRelativePower: generic: compute power",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 474
+                    },
+                    "rank": 39
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ExponentsOfRelativePower",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ExponentsOfCommutator"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 931
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "ExponentsOfCommutator: generic: compute commutator",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 484
+                    },
+                    "rank": 58
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ExponentsOfCommutator",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "LeadingExponentOfPcElement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 949
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "LeadingExponentOfPcElement: handled by nice monomorphism: attribute CollElm",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsnice.gi",
+                        "line": 60
+                    },
+                    "rank": 360
+                },
+                {
+                    "aka": [
+                        "32Bits_LeadingExponentOfPcElement"
+                    ],
+                    "comment": "LeadingExponentOfPcElement: family pcgs (32 bits)",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws",
+                            "Is32BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 828
+                    },
+                    "rank": 185
+                },
+                {
+                    "aka": [
+                        "16Bits_LeadingExponentOfPcElement"
+                    ],
+                    "comment": "LeadingExponentOfPcElement: family pcgs (16 bits)",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws",
+                            "Is16BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 720
+                    },
+                    "rank": 185
+                },
+                {
+                    "aka": [
+                        "8Bits_LeadingExponentOfPcElement"
+                    ],
+                    "comment": "LeadingExponentOfPcElement: family pcgs (8 bits)",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws",
+                            "Is8BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 616
+                    },
+                    "rank": 185
+                },
+                {
+                    "comment": "LeadingExponentOfPcElement: family pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 339
+                    },
+                    "rank": 82
+                },
+                {
+                    "comment": "LeadingExponentOfPcElement",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsPcgsPermGroupRep"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 1000
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "LeadingExponentOfPcElement: subset induced pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsSubsetInducedPcgsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 1503
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "LeadingExponentOfPcElement: sorted pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsSortedPcgsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 1293
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "LeadingExponentOfPcElement: unsorted pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsUnsortedPcgsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 1280
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "LeadingExponentOfPcElement: generic methods, ExponentsOfPcElement",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 537
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "LeadingExponentOfPcElement: pcgs modulo pcgs, use ExponentsOfPcElement",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 595
+                    },
+                    "rank": 20
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LeadingExponentOfPcElement",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "DepthAndLeadingExponentOfPcElement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 968
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "DepthAndLeadingExponentOfPcElement: permpcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsPcgsPermGroupRep"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 982
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "DepthAndLeadingExponentOfPcElement: generic methods, ExponentsOfPcElement",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 376
+                    },
+                    "rank": 20
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "DepthAndLeadingExponentOfPcElement",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PcElementByExponentsNC"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 1001
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "PcElementByExponentsNC: family pcgs, FFE",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 358
+                    },
+                    "rank": 107
+                },
+                {
+                    "comment": "PcElementByExponentsNC: family pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 351
+                    },
+                    "rank": 107
+                },
+                {
+                    "comment": "PcElementByExponentsNC: subset induced wrt family pcgs, FFE",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsParentPcgsFamilyPcgs",
+                            "Tester(IsParentPcgsFamilyPcgs)",
+                            "IsSubsetInducedPcgsRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 423
+                    },
+                    "rank": 83
+                },
+                {
+                    "comment": "PcElementByExponentsNC: subset induced wrt family pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsParentPcgsFamilyPcgs",
+                            "Tester(IsParentPcgsFamilyPcgs)",
+                            "IsSubsetInducedPcgsRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 393
+                    },
+                    "rank": 83
+                },
+                {
+                    "comment": "PcElementByExponentsNC: modulo subset induced wrt family pcgs, FFE",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsNumeratorParentPcgsFamilyPcgs",
+                            "Tester(IsNumeratorParentPcgsFamilyPcgs)",
+                            "IsSubsetInducedNumeratorModuloTailPcgsRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 1111
+                    },
+                    "rank": 63
+                },
+                {
+                    "comment": "PcElementByExponentsNC: modulo subset induced wrt family pcgs",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsNumeratorParentPcgsFamilyPcgs",
+                            "Tester(IsNumeratorParentPcgsFamilyPcgs)",
+                            "IsSubsetInducedNumeratorModuloTailPcgsRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 1078
+                    },
+                    "rank": 63
+                },
+                {
+                    "comment": "PcElementByExponentsNC: generic method: modulo, FFE",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 630
+                    },
+                    "rank": 51
+                },
+                {
+                    "comment": "PcElementByExponentsNC: generic method: modulo",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 619
+                    },
+                    "rank": 51
+                },
+                {
+                    "comment": "PcElementByExponentsNC: generic method for empty lists",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 574
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "PcElementByExponentsNC: generic method for empty lists",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 607
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "PcElementByExponentsNC: generic method",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 677
+                    },
+                    "rank": 33
+                },
+                {
+                    "comment": "PcElementByExponentsNC: generic method: call LinearCombinationPcgs",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 667
+                    },
+                    "rank": 33
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "PcElementByExponentsNC: generic method for empty list as basis or basisindex, modulo",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 644
+                    },
+                    "rank": 10039
+                },
+                {
+                    "comment": "PcElementByExponentsNC: family pcgs, basisind, FFE",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 378
+                    },
+                    "rank": 138
+                },
+                {
+                    "comment": "PcElementByExponentsNC: family pcgs, index",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 368
+                    },
+                    "rank": 138
+                },
+                {
+                    "comment": "PcElementByExponentsNC: subset induced wrt family pcgs, FFE,index",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsParentPcgsFamilyPcgs",
+                            "Tester(IsParentPcgsFamilyPcgs)",
+                            "IsSubsetInducedPcgsRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 436
+                    },
+                    "rank": 114
+                },
+                {
+                    "comment": "PcElementByExponentsNC: subset induced wrt family pcgs, index",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsParentPcgsFamilyPcgs",
+                            "Tester(IsParentPcgsFamilyPcgs)",
+                            "IsSubsetInducedPcgsRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 406
+                    },
+                    "rank": 114
+                },
+                {
+                    "comment": "PcElementByExponentsNC: modulo subset induced wrt family pcgs, FFE, index",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsNumeratorParentPcgsFamilyPcgs",
+                            "Tester(IsNumeratorParentPcgsFamilyPcgs)",
+                            "IsSubsetInducedNumeratorModuloTailPcgsRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 1126
+                    },
+                    "rank": 94
+                },
+                {
+                    "comment": "PcElementByExponentsNC: modulo subset induced wrt family pcgs,index",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsNumeratorParentPcgsFamilyPcgs",
+                            "Tester(IsNumeratorParentPcgsFamilyPcgs)",
+                            "IsSubsetInducedNumeratorModuloTailPcgsRep"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 1093
+                    },
+                    "rank": 94
+                },
+                {
+                    "comment": "PcElementByExponentsNC: index: defer to basis,FFE",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 722
+                    },
+                    "rank": 82
+                },
+                {
+                    "comment": "PcElementByExponentsNC: index: defer to basis",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 715
+                    },
+                    "rank": 82
+                },
+                {
+                    "comment": "PcElementByExponentsNC: generic method for empty lists",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 687
+                    },
+                    "rank": 55
+                },
+                {
+                    "aka": [
+                        "DoPcElementByExponentsGeneric"
+                    ],
+                    "comment": "PcElementByExponentsNC: multiply base elts., FFE",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 696
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "PcElementByExponentsNC: multiply basis elements",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 696
+                    },
+                    "rank": 54
+                },
+                {
+                    "comment": "PcElementByExponentsNC: generic method: modulo, basis, FFE",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsFFE)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 696
+                    },
+                    "rank": 53
+                },
+                {
+                    "comment": "PcElementByExponentsNC: generic method: modulo, basis",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 696
+                    },
+                    "rank": 53
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PcElementByExponentsNC",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SumOfPcElement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 1081
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "SumOfPcElement: generic methods, PcElementByExponents+ExponentsOfPcElement",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 865
+                    },
+                    "rank": 21
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SumOfPcElement",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ReducedPcElement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 1100
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "ReducedPcElement: generic method",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 748
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "ReducedPcElement: pcgs modulo pcgs",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 684
+                    },
+                    "rank": 20
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ReducedPcElement",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RelativeOrderOfPcElement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 1120
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "RelativeOrderOfPcElement: fp",
+                    "filters": [
+                        [
+                            "IsModuloPcgsFpGroupRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 1175
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "RelativeOrderOfPcElement: for IsPrimeOrdersPcgs using RelativeOrders",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 771
+                    },
+                    "rank": 25
+                },
+                {
+                    "comment": "RelativeOrderOfPcElement: general method using RelativeOrders",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 791
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "RelativeOrderOfPcElement: pcgs modulo pcgs",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 707
+                    },
+                    "rank": 20
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RelativeOrderOfPcElement",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HeadPcElementByNumber"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                [],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 1142
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "HeadPcElementByNumber: family pcgs (32bits)",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws",
+                            "Is32BitsPcWordRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 799
+                    },
+                    "rank": 203
+                },
+                {
+                    "comment": "HeadPcElementByNumber: family pcgs (16bits)",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws",
+                            "Is16BitsPcWordRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 692
+                    },
+                    "rank": 203
+                },
+                {
+                    "comment": "HeadPcElementByNumber: family pcgs (8bits)",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws",
+                            "Is8BitsPcWordRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 592
+                    },
+                    "rank": 203
+                },
+                {
+                    "comment": "HeadPcElementByNumber: using 'ExponentsOfPcElement', 'PcElementByExponents'",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 508
+                    },
+                    "rank": 39
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "HeadPcElementByNumber",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CleanedTailPcElement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                [],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 1169
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "CleanedTailPcElement: family pcgs (32bits)",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws",
+                            "Is32BitsPcWordRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 815
+                    },
+                    "rank": 203
+                },
+                {
+                    "comment": "CleanedTailPcElement: family pcgs (16bits)",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws",
+                            "Is16BitsPcWordRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 707
+                    },
+                    "rank": 203
+                },
+                {
+                    "comment": "CleanedTailPcElement: family pcgs (8bits)",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws",
+                            "Is8BitsPcWordRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 603
+                    },
+                    "rank": 203
+                },
+                {
+                    "comment": "CleanedTailPcElement: family pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 869
+                    },
+                    "rank": 100
+                },
+                {
+                    "comment": "CleanedTailPcElement: sorted pcgs - defer to sorting pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsSortedPcgsRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 1304
+                    },
+                    "rank": 50
+                },
+                {
+                    "comment": "CleanedTailPcElement: generic: do nothing",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 802
+                    },
+                    "rank": 45
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CleanedTailPcElement",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ExtendedIntersectionSumPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 1191
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [
+                {
+                    "comment": "ExtendedIntersectionSumPcgs: generic method for modulo pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 988
+                    },
+                    "rank": 29
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ExtendedIntersectionSumPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IntersectionSumPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 1207
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "IntersectionSumPcgs: prime orders pcgs, tail-pcgs, list",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsInducedPcgs",
+                            "IsTailInducedPcgsRep"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 1141
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": "IntersectionSumPcgs: using 'ExtendedIntersectionSumPcgs'",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1005
+                    },
+                    "rank": 29
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IntersectionSumPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "NormalIntersectionPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 1223
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "NormalIntersectionPcgs: prime orders pcgs, tail-pcgs, induced-pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsInducedPcgs",
+                            "IsTailInducedPcgsRep"
+                        ],
+                        [
+                            "IsInducedPcgs",
+                            "IsInducedPcgsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 1224
+                    },
+                    "rank": 79
+                },
+                {
+                    "comment": "NormalIntersectionPcgs: prime orders pcgs, tail-pcgs, list",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsInducedPcgs",
+                            "IsTailInducedPcgsRep"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 1183
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": "NormalIntersectionPcgs: using 'ExtendedIntersectionSumPcgs'",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1023
+                    },
+                    "rank": 29
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NormalIntersectionPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SumPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 1239
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "SumPcgs: generic method",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1094
+                    },
+                    "rank": 29
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SumPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SumFactorizationFunctionPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 1289
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [
+                {
+                    "comment": "SumFactorizationFunctionPcgs: generic method",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1151
+                    },
+                    "rank": 29
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SumFactorizationFunctionPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "EnumeratorByPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 1305
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+        ],
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+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1267
+                    },
+                    "rank": 21
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "EnumeratorByPcgs: pcgs, sublist",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 1281
+                    },
+                    "rank": 23
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "EnumeratorByPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgs.gd",
+                "line": 1324
+            }
+        ],
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+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ExtendedPcgs: perm pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsPcgsPermGroupRep"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsPerm)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 966
+                    },
+                    "rank": 87
+                },
+                {
+                    "comment": "ExtendedPcgs: pcgs, empty list",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 876
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "ExtendedPcgs: induced pcgs",
+                    "filters": [
+                        [
+                            "IsInducedPcgs"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 1517
+                    },
+                    "rank": 24
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ExtendedPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsind.gd",
+                "line": 52
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "InducedPcgsByPcSequence",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 269
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "InducedPcgsByPcSequence",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 285
+                    },
+                    "rank": 26
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "InducedPcgsByPcSequence",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "InducedPcgsByPcSequenceNC"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsind.gd",
+                "line": 53
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "InducedPcgsByPcSequenceNC: tail of perm pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsPcgsPermGroupRep"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsPerm)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 910
+                    },
+                    "rank": 87
+                },
+                {
+                    "comment": "InducedPcgsByPcSequenceNC: pcgs, empty list",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 87
+                    },
+                    "rank": 38
+                },
+                {
+                    "aka": [
+                        "DoInducedPcgsByPcSequenceNC"
+                    ],
+                    "comment": "InducedPcgsByPcSequenceNC: pcgs, homogeneous list",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 231
+                    },
+                    "rank": 26
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "InducedPcgsByPcSequenceNC: pcgs, empty list,depths",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 93
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "InducedPcgsByPcSequenceNC: pcgs, homogeneous list, depths",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "IsCollection"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 231
+                    },
+                    "rank": 28
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "InducedPcgsByPcSequenceNC",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsInducedPcgs"
+                ]
+            ]
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+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsind.gd",
+                "line": 76
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
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+                    "comment": "LeadCoeffsIGS: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(LeadCoeffsIGS)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gd",
+                        "line": 76
+                    },
+                    "rank": 20025
+                },
+                {
+                    "comment": "LeadCoeffsIGS: generic",
+                    "filters": [
+                        [
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsInducedPcgs",
+                            "IsInducedPcgsRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 254
+                    },
+                    "rank": 30
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LeadCoeffsIGS",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetLeadCoeffsIGS"
+        ],
+        "filters": [
+            [
+                [
+                    "IsInducedPcgs"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsind.gd",
+                "line": 76
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(LeadCoeffsIGS): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gd",
+                        "line": 76
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(LeadCoeffsIGS): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gd",
+                        "line": 76
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(LeadCoeffsIGS)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasLeadCoeffsIGS"
+        ],
+        "filters": [
+            [
+                [
+                    "IsInducedPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsind.gd",
+                "line": 76
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(LeadCoeffsIGS)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "InducedPcgsByPcSequenceAndGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsind.gd",
+                "line": 107
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "InducedPcgsByPcSequenceAndGenerators",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 434
+                    },
+                    "rank": 29
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "InducedPcgsByPcSequenceAndGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "InducedPcgsByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                [
+                    "IsCollection"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsind.gd",
+                "line": 127
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "InducedPcgsByGenerators",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 707
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "InducedPcgsByGenerators: pcgs, collection",
+                    "filters": [
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+                            "IsPcgs"
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+                        [
+                            "IsCollection"
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+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 666
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsCollection"
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+                        [
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+                        [
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+                            "IsEmpty",
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+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
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+                        ],
+                        [
+                            "IsCollection"
+                        ],
+                        [
+                            "IsCollection"
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+                            "Tester(IsEmpty)"
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+        "aka": [
+            "SetElementaryAbelianSubseries"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsind.gd",
+                "line": 320
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ElementaryAbelianSubseries): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gd",
+                        "line": 320
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ElementaryAbelianSubseries): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gd",
+                        "line": 320
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ElementaryAbelianSubseries)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasElementaryAbelianSubseries"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsind.gd",
+                "line": 320
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ElementaryAbelianSubseries)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CanonicalPcElement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsInducedPcgs"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsind.gd",
+                "line": 342
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "CanonicalPcElement: tail induced pcgs, 32bits word",
+                    "filters": [
+                        [
+                            "IsInducedPcgs",
+                            "IsParentPcgsFamilyPcgs",
+                            "Tester(IsParentPcgsFamilyPcgs)",
+                            "IsTailInducedPcgsRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws",
+                            "Is32BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 737
+                    },
+                    "rank": 158
+                },
+                {
+                    "comment": "CanonicalPcElement: tail induced pcgs, 16bits word",
+                    "filters": [
+                        [
+                            "IsInducedPcgs",
+                            "IsParentPcgsFamilyPcgs",
+                            "Tester(IsParentPcgsFamilyPcgs)",
+                            "IsTailInducedPcgsRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws",
+                            "Is16BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 632
+                    },
+                    "rank": 158
+                },
+                {
+                    "comment": "CanonicalPcElement: tail induced pcgs, 8bits word",
+                    "filters": [
+                        [
+                            "IsInducedPcgs",
+                            "IsParentPcgsFamilyPcgs",
+                            "Tester(IsParentPcgsFamilyPcgs)",
+                            "IsTailInducedPcgsRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverseByRws",
+                            "Is8BitsPcWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 507
+                    },
+                    "rank": 158
+                },
+                {
+                    "aka": [
+                        "CANONICAL_PC_ELEMENT"
+                    ],
+                    "comment": "CanonicalPcElement: generic method",
+                    "filters": [
+                        [
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsInducedPcgs",
+                            "IsInducedPcgsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 1269
+                    },
+                    "rank": 30
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CanonicalPcElement",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SiftedPcElement"
+        ],
+        "filters": [
+            [
+                [
+                    "IsInducedPcgs"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsind.gd",
+                "line": 367
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "SiftedPcElement: family pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsFamilyPcgs",
+                            "Tester(IsFamilyPcgs)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 268
+                    },
+                    "rank": 81
+                },
+                {
+                    "comment": "SiftedPcElement: for induced pcgs",
+                    "filters": [
+                        [
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsInducedPcgs",
+                            "IsInducedPcgsRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 1459
+                    },
+                    "rank": 30
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SiftedPcElement",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HomomorphicCanonicalPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsind.gd",
+                "line": 387
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "HomomorphicCanonicalPcgs: pcgs, list",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 906
+                    },
+                    "rank": 23
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "HomomorphicCanonicalPcgs: pcgs, list, object",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 923
+                    },
+                    "rank": 23
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "HomomorphicCanonicalPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HomomorphicInducedPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsind.gd",
+                "line": 407
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "HomomorphicInducedPcgs",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 943
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "HomomorphicInducedPcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 956
+                    },
+                    "rank": 29
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "HomomorphicInducedPcgs",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 972
+                    },
+                    "rank": 39
+                },
+                {
+                    "comment": "HomomorphicInducedPcgs",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 1002
+                    },
+                    "rank": 38
+                },
+                {
+                    "comment": "HomomorphicInducedPcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 986
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "HomomorphicInducedPcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsind.gi",
+                        "line": 1016
+                    },
+                    "rank": 29
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "HomomorphicInducedPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgspcg.gd",
+                "line": 31
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsFamilyPcgs: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsFamilyPcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gd",
+                        "line": 31
+                    },
+                    "rank": 20024
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsFamilyPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsFamilyPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgspcg.gd",
+                "line": 31
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsFamilyPcgs): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gd",
+                        "line": 31
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsFamilyPcgs): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gd",
+                        "line": 31
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsFamilyPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgspcg.gd",
+                "line": 31
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsFamilyPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ModuloPcgsByPcSequenceNC"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                "line": 27
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "ModuloPcgsByPcSequenceNC: generic method for pcgs mod pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsPcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 399
+                    },
+                    "rank": 44
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ModuloPcgsByPcSequenceNC",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ModuloPcgsByPcSequence"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                "line": 43
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "ModuloPcgsByPcSequence: generic method",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsInducedPcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 416
+                    },
+                    "rank": 45
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ModuloPcgsByPcSequence",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ModuloPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                "line": 85
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ModuloPcgs: for permutation groups",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 1162
+                    },
+                    "rank": 110
+                },
+                {
+                    "comment": "ModuloPcgs: subgroups fp",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 1160
+                    },
+                    "rank": 74
+                },
+                {
+                    "comment": "ModuloPcgs: for groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 1061
+                    },
+                    "rank": 70
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ModuloPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                "line": 120
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "DenominatorOfModuloPcgs: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(DenominatorOfModuloPcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                        "line": 120
+                    },
+                    "rank": 20023
+                },
+                {
+                    "comment": "DenominatorOfModuloPcgs",
+                    "filters": [
+                        [
+                            "IsModuloPcgsPermGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 736
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "DenominatorOfModuloPcgs: modolo-tail-pcgs-by-list-rep",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsModuloTailPcgsByListRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 1021
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "DenominatorOfModuloPcgs: fp",
+                    "filters": [
+                        [
+                            "IsModuloPcgsFpGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 1166
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "DenominatorOfModuloPcgs: for pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 1046
+                    },
+                    "rank": 21
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "DenominatorOfModuloPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetDenominatorOfModuloPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                "line": 120
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(DenominatorOfModuloPcgs): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                        "line": 120
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(DenominatorOfModuloPcgs): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                        "line": 120
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(DenominatorOfModuloPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasDenominatorOfModuloPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                "line": 120
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(DenominatorOfModuloPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                "line": 138
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NumeratorOfModuloPcgs: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NumeratorOfModuloPcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                        "line": 138
+                    },
+                    "rank": 20023
+                },
+                {
+                    "comment": "NumeratorOfModuloPcgs",
+                    "filters": [
+                        [
+                            "IsModuloPcgsPermGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 728
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "NumeratorOfModuloPcgs: modolo-tail-pcgs-by-list-rep",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsModuloTailPcgsByListRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 1008
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "NumeratorOfModuloPcgs: fp",
+                    "filters": [
+                        [
+                            "IsModuloPcgsFpGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 1163
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "NumeratorOfModuloPcgs: for pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 1033
+                    },
+                    "rank": 21
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NumeratorOfModuloPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetNumeratorOfModuloPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                "line": 138
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(NumeratorOfModuloPcgs): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                        "line": 138
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(NumeratorOfModuloPcgs): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                        "line": 138
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(NumeratorOfModuloPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasNumeratorOfModuloPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                "line": 138
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(NumeratorOfModuloPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                "line": 153
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsNumeratorParentPcgsFamilyPcgs: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsNumeratorParentPcgsFamilyPcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                        "line": 153
+                    },
+                    "rank": 20023
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsNumeratorParentPcgsFamilyPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsNumeratorParentPcgsFamilyPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                "line": 153
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsNumeratorParentPcgsFamilyPcgs): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                        "line": 153
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsNumeratorParentPcgsFamilyPcgs): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                        "line": 153
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsNumeratorParentPcgsFamilyPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                "line": 153
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsNumeratorParentPcgsFamilyPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ExponentsConjugateLayer"
+        ],
+        "filters": [
+            [
+                [
+                    "IsModuloPcgs"
+                ],
+                [
+                    "IsMultiplicativeElementWithInverse"
+                ],
+                [
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsmodu.gd",
+                "line": 180
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "ExponentsConjugateLayer: subset induced pcgs",
+                    "filters": [
+                        [
+                            "IsParentPcgsFamilyPcgs",
+                            "Tester(IsParentPcgsFamilyPcgs)",
+                            "IsTailInducedPcgsRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgspcg.gi",
+                        "line": 491
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "ExponentsConjugateLayer: subset induced modulo pcgs",
+                    "filters": [
+                        [
+                            "IsModuloPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsNumeratorParentPcgsFamilyPcgs",
+                            "Tester(IsNumeratorParentPcgsFamilyPcgs)",
+                            "IsSubsetInducedNumeratorModuloTailPcgsRep"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 1136
+                    },
+                    "rank": 42
+                },
+                {
+                    "comment": "ExponentsConjugateLayer: default: compute brute force",
+                    "filters": [
+                        [
+                            "IsModuloPcgs"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsmodu.gi",
+                        "line": 968
+                    },
+                    "rank": 30
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ExponentsConjugateLayer",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsspec.gd",
+                "line": 32
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsSpecialPcgs: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsSpecialPcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gd",
+                        "line": 32
+                    },
+                    "rank": 20024
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsSpecialPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsSpecialPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsspec.gd",
+                "line": 32
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsSpecialPcgs): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gd",
+                        "line": 32
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsSpecialPcgs): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gd",
+                        "line": 32
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsSpecialPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsspec.gd",
+                "line": 32
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsSpecialPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsspec.gd",
+                "line": 57
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "SpecialPcgs: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(SpecialPcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gd",
+                        "line": 57
+                    },
+                    "rank": 20024
+                },
+                {
+                    "comment": "SpecialPcgs: last resort method which tests solvability",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gi",
+                        "line": 710
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "SpecialPcgs: generic method for groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gi",
+                        "line": 694
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "SpecialPcgs: method for special pcgs",
+                    "filters": [
+                        [
+                            "IsSpecialPcgs",
+                            "Tester(IsSpecialPcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gi",
+                        "line": 567
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "SpecialPcgs: generic method for pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs",
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)",
+                            "IsFiniteOrdersPcgs",
+                            "Tester(IsFiniteOrdersPcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gi",
+                        "line": 629
+                    },
+                    "rank": 25
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SpecialPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetSpecialPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsspec.gd",
+                "line": 57
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(SpecialPcgs): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gd",
+                        "line": 57
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(SpecialPcgs): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gd",
+                        "line": 57
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(SpecialPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasSpecialPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsspec.gd",
+                "line": 57
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(SpecialPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsspec.gd",
+                "line": 71
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "LGHeads: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(LGHeads)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gd",
+                        "line": 71
+                    },
+                    "rank": 20024
+                },
+                {
+                    "comment": "LGHeads: for special pcgs",
+                    "filters": [
+                        [
+                            "IsSpecialPcgs",
+                            "Tester(IsSpecialPcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gi",
+                        "line": 650
+                    },
+                    "rank": 25
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LGHeads",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetLGHeads"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsspec.gd",
+                "line": 71
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(LGHeads): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gd",
+                        "line": 71
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(LGHeads): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsspec.gd",
+                        "line": 71
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(LGHeads)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasLGHeads"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/pcgsspec.gd",
+                "line": 71
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(LGHeads)",
+        "type": "GAP_Operation"
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+                    "rank": 20037
+                },
+                {
+                    "comment": "HomePcgs: use a perm pcgs if possible",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(Pcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 782
+                    },
+                    "rank": 56
+                },
+                {
+                    "comment": "HomePcgs: try to compute a perm pcgs",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 800
+                    },
+                    "rank": 55
+                },
+                {
+                    "comment": "HomePcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 282
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "HomePcgs: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gd",
+                        "line": 128
+                    },
+                    "rank": 0
+                }
+            ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetHomePcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grppc.gd",
+                "line": 128
+            }
+        ],
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+            "1args": [],
+            "2args": [
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+                    "comment": "Setter(HomePcgs): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gd",
+                        "line": 128
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(HomePcgs): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gd",
+                        "line": 128
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(HomePcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasHomePcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grppc.gd",
+                "line": 128
+            }
+        ],
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+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "Tester(HomePcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grppc.gd",
+                "line": 149
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "InducedPcgsWrtFamilyPcgs: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(InducedPcgsWrtFamilyPcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gd",
+                        "line": 149
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "InducedPcgsWrtFamilyPcgs: whole family",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 76
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "InducedPcgsWrtFamilyPcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(FamilyPcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 72
+                    },
+                    "rank": 36
+                },
+                {
+                    "comment": "InducedPcgsWrtFamilyPcgs: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gd",
+                        "line": 149
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "InducedPcgsWrtFamilyPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetInducedPcgsWrtFamilyPcgs"
+        ],
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grppc.gd",
+                "line": 149
+            }
+        ],
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(InducedPcgsWrtFamilyPcgs): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gd",
+                        "line": 149
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(InducedPcgsWrtFamilyPcgs): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gd",
+                        "line": 149
+                    },
+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(InducedPcgsWrtFamilyPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasInducedPcgsWrtFamilyPcgs"
+        ],
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grppc.gd",
+                "line": 149
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(InducedPcgsWrtFamilyPcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "InducedPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grppc.gd",
+                "line": 172
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
+                {
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+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 137
+                    },
+                    "rank": 56
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "InducedPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "InducedPcgsOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsPcgs"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grppc.gd",
+                "line": 188
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "InducedPcgsOp: sift existing pcgs",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(Pcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 192
+                    },
+                    "rank": 57
+                },
+                {
+                    "comment": "InducedPcgsOp: generic method",
+                    "filters": [
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 151
+                    },
+                    "rank": 56
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "InducedPcgsOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grppc.gd",
+                "line": 229
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ComputedInducedPcgses: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ComputedInducedPcgses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gd",
+                        "line": 229
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "ComputedInducedPcgses: default method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 200
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "ComputedInducedPcgses: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gd",
+                        "line": 229
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ComputedInducedPcgses",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetComputedInducedPcgses"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grppc.gd",
+                "line": 229
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ComputedInducedPcgses): system mutable setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gd",
+                        "line": 229
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ComputedInducedPcgses): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gd",
+                        "line": 229
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ComputedInducedPcgses)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasComputedInducedPcgses"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grppc.gd",
+                "line": 229
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ComputedInducedPcgses)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grppc.gd",
+                "line": 245
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "InducedPcgsWrtHomePcgs: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(InducedPcgsWrtHomePcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gd",
+                        "line": 245
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "InducedPcgsWrtHomePcgs: tail of perm pcgs",
+                    "filters": [
+                        [
+                            "Tester(HomePcgs)",
+                            "IsMemberPcSeriesPermGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 933
+                    },
+                    "rank": 57
+                },
+                {
+                    "comment": "InducedPcgsWrtHomePcgs: pc group: home=family",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 100
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "InducedPcgsWrtHomePcgs: from generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 96
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "InducedPcgsWrtHomePcgs: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gd",
+                        "line": 245
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "InducedPcgsWrtHomePcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetInducedPcgsWrtHomePcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grppc.gd",
+                "line": 245
+            }
+        ],
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+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(InducedPcgsWrtHomePcgs): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gd",
+                        "line": 245
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(InducedPcgsWrtHomePcgs): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gd",
+                        "line": 245
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(InducedPcgsWrtHomePcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasInducedPcgsWrtHomePcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grppc.gd",
+                "line": 245
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(InducedPcgsWrtHomePcgs)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grppc.gd",
+                "line": 267
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Pcgs: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Pcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gd",
+                        "line": 267
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "Pcgs: take induced pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(InducedPcgsWrtHomePcgs)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 251
+                    },
+                    "rank": 10036
+                },
+                {
+                    "comment": "Pcgs: fail if insolvable",
+                    "filters": [
+                        [
+                            "Tester(IsSolvableGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 232
+                    },
+                    "rank": 10036
+                },
+                {
+                    "comment": "Pcgs: via niceomorphism",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsnice.gi",
+                        "line": 36
+                    },
+                    "rank": 369
+                },
+                {
+                    "aka": [
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+                    ],
+                    "comment": "Pcgs: tail of perm pcgs",
+                    "filters": [
+                        [
+                            "IsMemberPcSeriesPermGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 760
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+                    "rank": 156
+                },
+                {
+                    "comment": "Pcgs: Sims's method",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 756
+                    },
+                    "rank": 155
+                },
+                {
+                    "comment": "Pcgs: for direct products",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(DirectProductInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 389
+                    },
+                    "rank": 95
+                },
+                {
+                    "comment": "Pcgs: from independent generators of abelian group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "CanEasilyComputeWithIndependentGensAbelianGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgs.gi",
+                        "line": 54
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+                },
+                {
+                    "comment": "Pcgs: from independent generators of abelian group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "Tester(IndependentGeneratorsOfAbelianGroup)"
+                        ]
+                    ],
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+                },
+                {
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+                    "filters": [
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(FamilyPcgs)"
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+                    ],
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+                {
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+                            "IsAssociative",
+                            "Tester(IsAssociative)",
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+                },
+                {
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+                            "IsMagmaWithInverses",
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+                    ],
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+                },
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                [
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+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
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+                        [
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+                        [
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+                        [
+                            "IsFunction"
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+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
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+                            "IsFunction"
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+                            "IsAssociative",
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+                        [
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+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
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+                        [
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+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 516
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "AsGroupGeneralMappingByImages: for group general mapping",
+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 529
+                    },
+                    "rank": 13
+                },
+                {
+                    "comment": "AsGroupGeneralMappingByImages: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/ghom.gd",
+                        "line": 251
+                    },
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+                }
+            ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AsGroupGeneralMappingByImages",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetAsGroupGeneralMappingByImages"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping",
+                    "RespectsMultiplication",
+                    "Tester(RespectsMultiplication)",
+                    "RespectsInverses",
+                    "Tester(RespectsInverses)"
+                ],
+                []
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/ghom.gd",
+                "line": 251
+            }
+        ],
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+                    "comment": "Setter(AsGroupGeneralMappingByImages): assign MappingOfWhichItIsAsGGMBI",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 551
+                    },
+                    "rank": 28
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/ghom.gd",
+                        "line": 251
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(AsGroupGeneralMappingByImages): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gd",
+                        "line": 251
+                    },
+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(AsGroupGeneralMappingByImages)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasAsGroupGeneralMappingByImages"
+        ],
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+            [
+                [
+                    "IsGeneralMapping",
+                    "RespectsMultiplication",
+                    "Tester(RespectsMultiplication)",
+                    "RespectsInverses",
+                    "Tester(RespectsInverses)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ghom.gd",
+                "line": 251
+            }
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+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(AsGroupGeneralMappingByImages)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping",
+                    "RespectsMultiplication",
+                    "Tester(RespectsMultiplication)",
+                    "RespectsInverses",
+                    "Tester(RespectsInverses)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ghom.gd",
+                "line": 268
+            }
+        ],
+        "methods": {
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+            "1args": [
+                {
+                    "comment": "MappingOfWhichItIsAsGGMBI: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(MappingOfWhichItIsAsGGMBI)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 268
+                    },
+                    "rank": 20016
+                },
+                {
+                    "comment": "MappingOfWhichItIsAsGGMBI: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gd",
+                        "line": 268
+                    },
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+                }
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+            "6args": []
+        },
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+                    "RespectsMultiplication",
+                    "Tester(RespectsMultiplication)",
+                    "RespectsInverses",
+                    "Tester(RespectsInverses)"
+                ],
+                []
+            ]
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
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+                        "line": 268
+                    },
+                    "rank": 2
+                },
+                {
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+                    "filters": [
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+                        []
+                    ],
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+                        "line": 268
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+            "5args": [],
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+    },
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+        "aka": [
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+            [
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+                    "RespectsMultiplication",
+                    "Tester(RespectsMultiplication)",
+                    "RespectsInverses",
+                    "Tester(RespectsInverses)"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/ghom.gd",
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+    {
+        "aka": [
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+            [
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
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+                            "Tester(IsTrivial)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 1354
+                    },
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+                },
+                {
+                    "comment": "NaturalHomomorphismByNormalSubgroupNCOp",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 895
+                    },
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+                },
+                {
+                    "comment": "NaturalHomomorphismByNormalSubgroupNCOp: test if known/try solvable factor for permutation groups",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/factgrp.gi",
+                        "line": 1389
+                    },
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+                },
+                {
+                    "comment": "NaturalHomomorphismByNormalSubgroupNCOp",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghompcgs.gi",
+                        "line": 567
+                    },
+                    "rank": 92
+                },
+                {
+                    "comment": "NaturalHomomorphismByNormalSubgroupNCOp: trivial image fp case",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 1003
+                    },
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+                },
+                {
+                    "comment": "NaturalHomomorphismByNormalSubgroupNCOp: for subgroups of fp groups by quotient rep.",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup",
+                            "IsSubgroupOfWholeGroupByQuotientRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 987
+                    },
+                    "rank": 75
+                },
+                {
+                    "comment": "NaturalHomomorphismByNormalSubgroupNCOp: for subgroups of fp groups",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gi",
+                        "line": 967
+                    },
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+                },
+                {
+                    "comment": "NaturalHomomorphismByNormalSubgroupNCOp: search for operation",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
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+                        "line": 1323
+                    },
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+                }
+            ],
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+            "6args": []
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+                    "IsMagmaWithInverses",
+                    "IsAssociative",
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NaturalHomomorphismByNormalSubgroupNCInParent)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 322
+                    },
+                    "rank": 20037
+                },
+                {
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+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 322
+                    },
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
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+            "3args": [],
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+            "5args": [],
+            "6args": []
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+                [
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
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+                        "line": 322
+                    },
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+                },
+                {
+                    "comment": "Setter(NaturalHomomorphismByNormalSubgroupNCInParent): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
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+                        "line": 322
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+            "5args": [],
+            "6args": []
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+    },
+    {
+        "aka": [
+            "HasNaturalHomomorphismByNormalSubgroupNCInParent"
+        ],
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
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+            {
+                "file": "/home/makx/ac/gap/lib/ghom.gd",
+                "line": 322
+            }
+        ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(NaturalHomomorphismByNormalSubgroupNCInParent)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "NaturalHomomorphismByNormalSubgroupNCOrig"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
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+                "line": 322
+            }
+        ],
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+                    "comment": "NaturalHomomorphismByNormalSubgroupNC: try to exploit the in-parent attribute NaturalHomomorphismByNormalSubgroupNCInParent",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gd",
+                        "line": 322
+                    },
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+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+                [
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMultiplicativeElementWithInverse"
+                ]
+            ]
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+            }
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 969
+                    },
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+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ConjugatorAutomorphismNC"
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
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+                ]
+            ]
+        ],
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+                "line": 413
+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 993
+                    },
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+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ConjugatorAutomorphismNC",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "InnerAutomorphismNC"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
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+                ]
+            ]
+        ],
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+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/ghom.gi",
+                        "line": 1033
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+                "line": 500
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsConjugatorIsomorphism)"
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+                    ],
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
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+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
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+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
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+                },
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+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
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+                            "Tester(RespectsInverses)"
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+                    ],
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+                            "IsAttributeStoringRep",
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+                    "filters": [
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+                            "IsAttributeStoringRep",
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+                            "IsGeneralMapping",
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+                            "RespectsInverses",
+                            "Tester(RespectsInverses)",
+                            "IsConjugatorIsomorphism",
+                            "Tester(IsConjugatorIsomorphism)"
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+                    "filters": [
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+                    "filters": [
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+                    "Tester(IsConjugatorIsomorphism)"
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ImagesSmallestGenerators)"
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+                        "line": 657
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
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+                            "Tester(IsSingleValued)",
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+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
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+                    "filters": [
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+                            "IsAttributeStoringRep",
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+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    "filters": [
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
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+                    "filters": [
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+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(RegularActionHomomorphism)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasRegularActionHomomorphism"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ghom.gd",
+                "line": 675
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(RegularActionHomomorphism)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "NaturalIsomorphismByPcgs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsPcgs"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ghompcgs.gd",
+                "line": 84
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "NaturalIsomorphismByPcgs: for group and pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsPcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghompcgs.gi",
+                        "line": 675
+                    },
+                    "rank": 56
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NaturalIsomorphismByPcgs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "DirectProductOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsList"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/gprd.gd",
+                "line": 77
+            }
+        ],
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "DirectProductOp: for a list of permutation groups, and a permutation group",
+                    "filters": [
+                        [
+                            "IsList",
+                            "CategoryCollections(CategoryCollections(IsPerm))"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 65
+                    },
+                    "rank": 77
+                },
+                {
+                    "comment": "DirectProductOp: for a list (of pc groups), and a pc group",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdpc.gi",
+                        "line": 59
+                    },
+                    "rank": 48
+                },
+                {
+                    "comment": "DirectProductOp: matrix groups",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdmat.gi",
+                        "line": 74
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "DirectProductOp: for a list of fp groups, and a fp group",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 5438
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "DirectProductOp: for a list (of groups), and a group",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 91
+                    },
+                    "rank": 37
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "DirectProductOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SubdirectProductOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsGeneralMapping",
+                    "IsTotal",
+                    "Tester(IsTotal)",
+                    "IsSingleValued",
+                    "Tester(IsSingleValued)",
+                    "RespectsMultiplication",
+                    "Tester(RespectsMultiplication)",
+                    "RespectsInverses",
+                    "Tester(RespectsInverses)"
+                ],
+                [
+                    "IsGeneralMapping",
+                    "IsTotal",
+                    "Tester(IsTotal)",
+                    "IsSingleValued",
+                    "Tester(IsSingleValued)",
+                    "RespectsMultiplication",
+                    "Tester(RespectsMultiplication)",
+                    "RespectsInverses",
+                    "Tester(RespectsInverses)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/gprd.gd",
+                "line": 135
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [
+                {
+                    "comment": "SubdirectProductOp: permgroup",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 398
+                    },
+                    "rank": 150
+                },
+                {
+                    "comment": "SubdirectProductOp: pcgroup",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdpc.gi",
+                        "line": 434
+                    },
+                    "rank": 126
+                },
+                {
+                    "comment": "SubdirectProductOp: groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 545
+                    },
+                    "rank": 104
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SubdirectProductOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SemidirectProduct"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsGeneralMapping",
+                    "IsTotal",
+                    "Tester(IsTotal)",
+                    "IsSingleValued",
+                    "Tester(IsSingleValued)",
+                    "RespectsMultiplication",
+                    "Tester(RespectsMultiplication)",
+                    "RespectsInverses",
+                    "Tester(RespectsInverses)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/gprd.gd",
+                "line": 265
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "SemidirectProduct: generic method for pc groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdpc.gi",
+                        "line": 176
+                    },
+                    "rank": 63
+                },
+                {
+                    "comment": "SemidirectProduct: generic method for pc groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdpc.gi",
+                        "line": 162
+                    },
+                    "rank": 47
+                },
+                {
+                    "comment": "SemidirectProduct: automorphisms group with group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 1072
+                    },
+                    "rank": 35
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "SemidirectProduct: Induced permutation automorphisms",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 1000
+                    },
+                    "rank": 133
+                },
+                {
+                    "comment": "SemidirectProduct: generic method for permutation groups",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 967
+                    },
+                    "rank": 133
+                },
+                {
+                    "comment": "SemidirectProduct: group with vector space: affine",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsExtLSet",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsFullRowModule",
+                            "Tester(IsFullRowModule)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 1315
+                    },
+                    "rank": 103
+                },
+                {
+                    "comment": "SemidirectProduct: generic method for pc groups",
+                    "filters": [
+                        [
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "CanEasilyComputePcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdpc.gi",
+                        "line": 145
+                    },
+                    "rank": 97
+                },
+                {
+                    "aka": [
+                        "SemidirectFp"
+                    ],
+                    "comment": "SemidirectProduct: group with fp",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 1170
+                    },
+                    "rank": 89
+                },
+                {
+                    "comment": "SemidirectProduct: fp with group",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 1170
+                    },
+                    "rank": 89
+                },
+                {
+                    "comment": "SemidirectProduct: different representations",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ],
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprd.gi",
+                        "line": 1112
+                    },
+                    "rank": 85
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SemidirectProduct",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "WreathProduct"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/gprd.gd",
+                "line": 332
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "aka": [
+                        "WreathProductImprimitiveAction"
+                    ],
+                    "comment": "WreathProduct: permgroups: imprimitive",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdperm.gi",
+                        "line": 680
+                    },
+                    "rank": 116
+                },
+                {
+                    "aka": [
+                        "MatWreathProduct"
+                    ],
+                    "comment": "WreathProduct: imprimitive matrix group",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gprdmat.gi",
+                        "line": 291
+                    },
+                    "rank": 103
+                },
+                {
+                    "comment": "WreathProduct: generic groups with perm",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
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+                        [
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+                            "IsAssociative",
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+                        [
+                            "CategoryCollections(IsPerm)",
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+                            "IsMagmaWithInverses",
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+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
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+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                            "IsAssociative",
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+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(CanonicalRepresentativeOfExternalSet): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 336
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(CanonicalRepresentativeOfExternalSet): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 336
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(CanonicalRepresentativeOfExternalSet)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasCanonicalRepresentativeOfExternalSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 336
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(CanonicalRepresentativeOfExternalSet)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 362
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "CanonicalRepresentativeDeterminatorOfExternalSet: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(CanonicalRepresentativeDeterminatorOfExternalSet)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 362
+                    },
+                    "rank": 20009
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CanonicalRepresentativeDeterminatorOfExternalSet",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetCanonicalRepresentativeDeterminatorOfExternalSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 362
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(CanonicalRepresentativeDeterminatorOfExternalSet): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 362
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(CanonicalRepresentativeDeterminatorOfExternalSet): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 362
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(CanonicalRepresentativeDeterminatorOfExternalSet)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasCanonicalRepresentativeDeterminatorOfExternalSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 362
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(CanonicalRepresentativeDeterminatorOfExternalSet)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 378
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "CanEasilyDetermineCanonicalRepresentativeExternalSet: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(CanEasilyDetermineCanonicalRepresentativeExternalSet)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 378
+                    },
+                    "rank": 20009
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CanEasilyDetermineCanonicalRepresentativeExternalSet",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetCanEasilyDetermineCanonicalRepresentativeExternalSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 378
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(CanEasilyDetermineCanonicalRepresentativeExternalSet): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 378
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(CanEasilyDetermineCanonicalRepresentativeExternalSet): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 378
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(CanEasilyDetermineCanonicalRepresentativeExternalSet)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasCanEasilyDetermineCanonicalRepresentativeExternalSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 378
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(CanEasilyDetermineCanonicalRepresentativeExternalSet)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 411
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ActorOfExternalSet: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ActorOfExternalSet)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 411
+                    },
+                    "rank": 20009
+                },
+                {
+                    "comment": "ActorOfExternalSet",
+                    "filters": [
+                        [
+                            "IsConjugacyClassGroupRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/claspcgs.gi",
+                        "line": 976
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "ActorOfExternalSet",
+                    "filters": [
+                        [
+                            "IsExternalOrbit",
+                            "IsExternalSetByPcgs"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtpcgs.gi",
+                        "line": 353
+                    },
+                    "rank": 11
+                },
+                {
+                    "comment": "ActorOfExternalSet",
+                    "filters": [
+                        [
+                            "IsExternalSet"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2951
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ActorOfExternalSet",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetActorOfExternalSet",
+            "SetOperatorOfExternalSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 411
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ActorOfExternalSet): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 411
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ActorOfExternalSet): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 411
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ActorOfExternalSet)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasActorOfExternalSet",
+            "HasOperatorOfExternalSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 411
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ActorOfExternalSet)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PreOrbishProcessing"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 749
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "PreOrbishProcessing",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 751
+                    },
+                    "rank": 34
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PreOrbishProcessing",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 948
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ActionHomomorphismAttr: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ActionHomomorphismAttr)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 948
+                    },
+                    "rank": 20009
+                },
+                {
+                    "comment": "ActionHomomorphismAttr: call OpHomConstructor",
+                    "filters": [
+                        [
+                            "IsExternalSet"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 707
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ActionHomomorphismAttr",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetActionHomomorphismAttr"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 948
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ActionHomomorphismAttr): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 948
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ActionHomomorphismAttr): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 948
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ActionHomomorphismAttr)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasActionHomomorphismAttr"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 948
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ActionHomomorphismAttr)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 971
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "SurjectiveActionHomomorphismAttr: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(SurjectiveActionHomomorphismAttr)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 971
+                    },
+                    "rank": 20009
+                },
+                {
+                    "comment": "SurjectiveActionHomomorphismAttr: call Ac.Hom.Constructor",
+                    "filters": [
+                        [
+                            "IsExternalSet"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 715
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SurjectiveActionHomomorphismAttr",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetSurjectiveActionHomomorphismAttr"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 971
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(SurjectiveActionHomomorphismAttr): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 971
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(SurjectiveActionHomomorphismAttr): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 971
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(SurjectiveActionHomomorphismAttr)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasSurjectiveActionHomomorphismAttr"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 971
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(SurjectiveActionHomomorphismAttr)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsActionHomomorphism"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1002
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "UnderlyingExternalSet: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(UnderlyingExternalSet)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1002
+                    },
+                    "rank": 20023
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "UnderlyingExternalSet",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetUnderlyingExternalSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsActionHomomorphism"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1002
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(UnderlyingExternalSet): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1002
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(UnderlyingExternalSet): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1002
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(UnderlyingExternalSet)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasUnderlyingExternalSet"
+        ],
+        "filters": [
+            [
+                [
+                    "IsActionHomomorphism"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1002
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(UnderlyingExternalSet)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SparseActionHomomorphismOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
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+                [
+                    "IsList"
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+                [
+                    "IsList"
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+                [
+                    "IsFunction"
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+                {
+                    "comment": "SparseActionHomomorphismOp: no domain given",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
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+                    "location": {
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+                }
+            ],
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+                {
+                    "comment": "SparseActionHomomorphismOp: domain given",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
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+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
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+                    "location": {
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+                }
+            ]
+        },
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+            [
+                [
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+                    "Tester(IsAssociative)"
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+                [
+                    "IsListOrCollection"
+                ],
+                [],
+                [
+                    "IsList"
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+                [
+                    "IsList"
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+                [
+                    "IsFunction"
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+        ],
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+            "3args": [],
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+                {
+                    "comment": "SortedSparseActionHomomorphismOp: no domain given",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 1725
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+                    "rank": 42
+                }
+            ],
+            "6args": []
+        },
+        "name": "SortedSparseActionHomomorphismOp",
+        "type": "GAP_Operation"
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+    {
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+            [
+                [
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+            ],
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                [
+                    "IsListOrCollection"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
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+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1171
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+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1171
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+        ],
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+                    "comment": "ExternalSet: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ExternalSet)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1171
+                    },
+                    "rank": 20009
+                },
+                {
+                    "comment": "ExternalSet: for a permutation group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1171
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "ExternalSet: for an external set",
+                    "filters": [
+                        [
+                            "IsExternalSet"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1171
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+                    "rank": 6
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "ExternalSet: for a permutation group and a domain or list of integers",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1171
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ExternalSet: for a group and a domain or list",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1171
+                    },
+                    "rank": 34
+                }
+            ],
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+                {
+                    "comment": "ExternalSet: for permutation group, domain or list of integers, and function",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1171
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "ExternalSet: for a group, a domain or list, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        [],
+                        [
+                            "IsFunction"
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+                    ],
+                    "location": {
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+                        "line": 1171
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+                }
+            ],
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+                {
+                    "comment": "ExternalSet: for a group, a domain or list, and two lists",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1171
+                    },
+                    "rank": 38
+                }
+            ],
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+                {
+                    "comment": "ExternalSet: for a group, a domain, two lists, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1171
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ExternalSet: G, D, gens, acts, act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
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+                    ],
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+        "filters": [
+            [
+                [
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+                []
+            ]
+        ],
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+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1171
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+                    "rank": 2
+                },
+                {
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+                        []
+                    ],
+                    "location": {
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+            "4args": [],
+            "5args": [],
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+    {
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+        "filters": [
+            [
+                [
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+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1171
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+            "5args": [],
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+        "name": "Tester(ExternalSet)",
+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/oprt.gd",
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+            "1args": [],
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+                    "filters": [
+                        [
+                            "IsExternalSet"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    ],
+                    "location": {
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+                    "rank": 41
+                }
+            ],
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+            "4args": [],
+            "5args": [],
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+        },
+        "name": "RestrictedExternalSet",
+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/oprt.gd",
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+            "3args": [],
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+                    "comment": "ExternalSubsetOp: G, start, gens, acts, act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
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+                    ],
+                    "location": {
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+                        "line": 225
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+                    "rank": 42
+                }
+            ],
+            "6args": [
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+                    "comment": "ExternalSubsetOp: G, xset, start, gens, acts, act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsExternalSet"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 213
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+                    "rank": 48
+                },
+                {
+                    "comment": "ExternalSubsetOp: G, D, start, gens, acts, act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 195
+                    },
+                    "rank": 44
+                }
+            ]
+        },
+        "name": "ExternalSubsetOp",
+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsListOrCollection"
+                ],
+                [],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
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+            ]
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [
+                {
+                    "comment": "ExternalOrbitOp: G, pnt, gens, acts, act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
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+                    ],
+                    "location": {
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+                }
+            ],
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+                {
+                    "comment": "ExternalOrbitOp: G, xset, pnt, gens, acts, act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        [
+                            "IsExternalSet"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 341
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "ExternalOrbitOp: G, D, pnt, gens, acts, act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 322
+                    },
+                    "rank": 41
+                }
+            ]
+        },
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+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                [
+                    "IsListOrCollection"
+                ],
+                [],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [
+                {
+                    "comment": "OrbitOp: G, int, gens, perms, act = `OnPoints'",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
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+                    "location": {
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+                    "rank": 81
+                },
+                {
+                    "comment": "OrbitOp: action via prime order pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        [],
+                        [
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
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+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
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+                },
+                {
+                    "comment": "OrbitOp: G, pnt, [ 1gen ], [ 1act ], act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
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+                    ],
+                    "location": {
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+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "OrbitOp: standard orbit algorithm:list",
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+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
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+                        [
+                            "IsFunction"
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+                    ],
+                    "location": {
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+                    },
+                    "rank": 40
+                }
+            ],
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+                {
+                    "aka": [
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+                    "comment": "OrbitOp: via prime order pcgs, with domain",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [],
+                        [
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
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+                    "rank": 63
+                },
+                {
+                    "comment": "OrbitOp: G, D, pnt, [ 1gen ], [ 1act ], act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 932
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "OrbitOp: with domain",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 964
+                    },
+                    "rank": 41
+                }
+            ]
+        },
+        "name": "OrbitOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ],
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsListOrCollection"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1294
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1294
+            }
+        ],
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+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Orbits: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Orbits)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1294
+                    },
+                    "rank": 20009
+                },
+                {
+                    "comment": "Orbits: for a permutation group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1294
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "Orbits: group without domain",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 1549
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "Orbits: for an external set",
+                    "filters": [
+                        [
+                            "IsExternalSet"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1294
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "Orbits: for a permutation group and a domain or list of integers",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1294
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "Orbits: for a group and a domain or list",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1294
+                    },
+                    "rank": 34
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "Orbits: for permutation group, domain or list of integers, and function",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1294
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "Orbits: for a group, a domain or list, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1294
+                    },
+                    "rank": 35
+                }
+            ],
+            "4args": [
+                {
+                    "comment": "Orbits: for a group, a domain or list, and two lists",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1294
+                    },
+                    "rank": 38
+                }
+            ],
+            "5args": [
+                {
+                    "aka": [
+                        "ORBS_PERMGP_PTS"
+                    ],
+                    "comment": "Orbits: permgroup on points",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsCyclotomic)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsPerm)"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtperm.gi",
+                        "line": 74
+                    },
+                    "rank": 128
+                },
+                {
+                    "comment": "Orbits: for a group, a domain, two lists, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1294
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "Orbits: for arbitrary domains",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 1538
+                    },
+                    "rank": 41
+                }
+            ],
+            "6args": []
+        },
+        "name": "Orbits",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetOrbits"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1294
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(Orbits): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1294
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(Orbits): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1294
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(Orbits)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasOrbits"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1294
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(Orbits)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ],
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsListOrCollection"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1347
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1347
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "OrbitsDomain: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(OrbitsDomain)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1347
+                    },
+                    "rank": 20009
+                },
+                {
+                    "comment": "OrbitsDomain: for a permutation group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1347
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "OrbitsDomain: group without domain",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 1492
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "OrbitsDomain: for an external set",
+                    "filters": [
+                        [
+                            "IsExternalSet"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1347
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "OrbitsDomain: for a permutation group and a domain or list of integers",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1347
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "OrbitsDomain: for a group and a domain or list",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1347
+                    },
+                    "rank": 34
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "OrbitsDomain: for permutation group, domain or list of integers, and function",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1347
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "OrbitsDomain: for a group, a domain or list, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1347
+                    },
+                    "rank": 35
+                }
+            ],
+            "4args": [
+                {
+                    "comment": "OrbitsDomain: for a group, a domain or list, and two lists",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1347
+                    },
+                    "rank": 38
+                }
+            ],
+            "5args": [
+                {
+                    "comment": "OrbitsDomain: permgroup on points",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsCyclotomic)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsPerm)"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtperm.gi",
+                        "line": 78
+                    },
+                    "rank": 128
+                },
+                {
+                    "comment": "OrbitsDomain: empty domain",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 1544
+                    },
+                    "rank": 57
+                },
+                {
+                    "comment": "OrbitsDomain: empty domain",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 1487
+                    },
+                    "rank": 57
+                },
+                {
+                    "comment": "OrbitsDomain: for a group, a domain, two lists, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1347
+                    },
+                    "rank": 44
+                },
+                {
+                    "aka": [
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+                    ],
+                    "comment": "OrbitsDomain: for quick position domains",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList",
+                            "IsQuickPositionList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 1437
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "OrbitsDomain: for arbitrary domains",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 1481
+                    },
+                    "rank": 41
+                }
+            ],
+            "6args": []
+        },
+        "name": "OrbitsDomain",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetOrbitsDomain"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1347
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(OrbitsDomain): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1347
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(OrbitsDomain): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1347
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(OrbitsDomain)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasOrbitsDomain"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1347
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(OrbitsDomain)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "OrbitLengthOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsListOrCollection"
+                ],
+                [],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1366
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [
+                {
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2264
+                    },
+                    "rank": 40
+                }
+            ],
+            "6args": [
+                {
+                    "comment": "OrbitLengthOp: compute orbit",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2255
+                    },
+                    "rank": 41
+                }
+            ]
+        },
+        "name": "OrbitLengthOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ],
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsListOrCollection"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1388
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1388
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "OrbitLengths: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(OrbitLengths)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1388
+                    },
+                    "rank": 20009
+                },
+                {
+                    "comment": "OrbitLengths: for a permutation group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1388
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "OrbitLengths: for an external set",
+                    "filters": [
+                        [
+                            "IsExternalSet"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1388
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "OrbitLengths: for a permutation group and a domain or list of integers",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1388
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "OrbitLengths: for a group and a domain or list",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1388
+                    },
+                    "rank": 34
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "OrbitLengths: for permutation group, domain or list of integers, and function",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1388
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "OrbitLengths: for a group, a domain or list, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1388
+                    },
+                    "rank": 35
+                }
+            ],
+            "4args": [
+                {
+                    "comment": "OrbitLengths: for a group, a domain or list, and two lists",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1388
+                    },
+                    "rank": 38
+                }
+            ],
+            "5args": [
+                {
+                    "comment": "OrbitLengths: for a group, a domain, two lists, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1388
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "OrbitLengths: compute orbits",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2275
+                    },
+                    "rank": 41
+                }
+            ],
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+        },
+        "name": "OrbitLengths",
+        "type": "GAP_Operation"
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+    {
+        "aka": [
+            "SetOrbitLengths"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1388
+            }
+        ],
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+            "2args": [
+                {
+                    "comment": "Setter(OrbitLengths): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1388
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(OrbitLengths): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1388
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(OrbitLengths)",
+        "type": "GAP_Operation"
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+    {
+        "aka": [
+            "HasOrbitLengths"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1388
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(OrbitLengths)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ],
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsListOrCollection"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1421
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1421
+            }
+        ],
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+            "1args": [
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+                    "comment": "OrbitLengthsDomain: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(OrbitLengthsDomain)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1421
+                    },
+                    "rank": 20009
+                },
+                {
+                    "comment": "OrbitLengthsDomain: for a permutation group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1421
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "OrbitLengthsDomain: for an external set",
+                    "filters": [
+                        [
+                            "IsExternalSet"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1421
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "OrbitLengthsDomain: for a permutation group and a domain or list of integers",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1421
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "OrbitLengthsDomain: for a group and a domain or list",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1421
+                    },
+                    "rank": 34
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "OrbitLengthsDomain: for permutation group, domain or list of integers, and function",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1421
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "OrbitLengthsDomain: for a group, a domain or list, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1421
+                    },
+                    "rank": 35
+                }
+            ],
+            "4args": [
+                {
+                    "comment": "OrbitLengthsDomain: for a group, a domain or list, and two lists",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1421
+                    },
+                    "rank": 38
+                }
+            ],
+            "5args": [
+                {
+                    "comment": "OrbitLengthsDomain: for a group, a domain, two lists, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1421
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "OrbitLengthsDomain: compute orbits",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2285
+                    },
+                    "rank": 41
+                }
+            ],
+            "6args": []
+        },
+        "name": "OrbitLengthsDomain",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetOrbitLengthsDomain"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1421
+            }
+        ],
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(OrbitLengthsDomain): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1421
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(OrbitLengthsDomain): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1421
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(OrbitLengthsDomain)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasOrbitLengthsDomain"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1421
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(OrbitLengthsDomain)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "OrbitStabilizerOp"
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+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsListOrCollection"
+                ],
+                [],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1441
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [
+                {
+                    "comment": "OrbitStabilizerOp: permgroup",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtperm.gi",
+                        "line": 58
+                    },
+                    "rank": 81
+                },
+                {
+                    "comment": "OrbitStabilizerOp: G, pnt, pcgs, acts, act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 162
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "OrbitStabilizerOp: `OrbitStabilizerAlgorithm' without domain",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 1064
+                    },
+                    "rank": 40
+                }
+            ],
+            "6args": [
+                {
+                    "comment": "OrbitStabilizerOp: G, D, pnt, pcgs, acts, act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [],
+                        [
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtpcgs.gi",
+                        "line": 155
+                    },
+                    "rank": 63
+                },
+                {
+                    "comment": "OrbitStabilizerOp: `OrbitStabilizerAlgorithm' with domain",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 1054
+                    },
+                    "rank": 41
+                }
+            ]
+        },
+        "name": "OrbitStabilizerOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ],
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsListOrCollection"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1467
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1467
+            }
+        ],
+        "methods": {
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+            "1args": [
+                {
+                    "comment": "ExternalOrbits: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ExternalOrbits)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1467
+                    },
+                    "rank": 20009
+                },
+                {
+                    "comment": "ExternalOrbits: for a permutation group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1467
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "ExternalOrbits: for an external set",
+                    "filters": [
+                        [
+                            "IsExternalSet"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1467
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "ExternalOrbits: for a permutation group and a domain or list of integers",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1467
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ExternalOrbits: for a group and a domain or list",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1467
+                    },
+                    "rank": 34
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "ExternalOrbits: for permutation group, domain or list of integers, and function",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1467
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "ExternalOrbits: for a group, a domain or list, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1467
+                    },
+                    "rank": 35
+                }
+            ],
+            "4args": [
+                {
+                    "comment": "ExternalOrbits: for a group, a domain or list, and two lists",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1467
+                    },
+                    "rank": 38
+                }
+            ],
+            "5args": [
+                {
+                    "comment": "ExternalOrbits: G, xset, gens, acts, act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsExternalSet"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 1777
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "ExternalOrbits: for a group, a domain, two lists, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1467
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ExternalOrbits: G, D, gens, acts, act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 1751
+                    },
+                    "rank": 41
+                }
+            ],
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+        },
+        "name": "ExternalOrbits",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
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+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1467
+            }
+        ],
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ExternalOrbits): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1467
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ExternalOrbits): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1467
+                    },
+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1467
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ExternalOrbits)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ],
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsListOrCollection"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1505
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1505
+            }
+        ],
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+            "1args": [
+                {
+                    "comment": "ExternalOrbitsStabilizers: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ExternalOrbitsStabilizers)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1505
+                    },
+                    "rank": 20009
+                },
+                {
+                    "comment": "ExternalOrbitsStabilizers: for a permutation group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1505
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "ExternalOrbitsStabilizers: for an external set",
+                    "filters": [
+                        [
+                            "IsExternalSet"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1505
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "ExternalOrbitsStabilizers: for a permutation group and a domain or list of integers",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1505
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ExternalOrbitsStabilizers: for a group and a domain or list",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1505
+                    },
+                    "rank": 34
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "ExternalOrbitsStabilizers: for permutation group, domain or list of integers, and function",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1505
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "ExternalOrbitsStabilizers: for a group, a domain or list, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1505
+                    },
+                    "rank": 35
+                }
+            ],
+            "4args": [
+                {
+                    "comment": "ExternalOrbitsStabilizers: for a group, a domain or list, and two lists",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1505
+                    },
+                    "rank": 38
+                }
+            ],
+            "5args": [
+                {
+                    "comment": "ExternalOrbitsStabilizers: external set",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsExternalSet"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 1831
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "ExternalOrbitsStabilizers: for a group, a domain, two lists, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1505
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "ExternalOrbitsStabilizers: arbitrary domain",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 1823
+                    },
+                    "rank": 41
+                }
+            ],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetExternalOrbitsStabilizers"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1505
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ExternalOrbitsStabilizers): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1505
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ExternalOrbitsStabilizers): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1505
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ExternalOrbitsStabilizers)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasExternalOrbitsStabilizers"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1505
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ExternalOrbitsStabilizers)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ],
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsListOrCollection"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ],
+            [
+                [
+                    "IsClassFunction"
+                ]
+            ],
+            [
+                [
+                    "IsOrdinaryTable"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1540
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1540
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctblfuns.gd",
+                "line": 1623
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Transitivity: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Transitivity)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1540
+                    },
+                    "rank": 20009
+                },
+                {
+                    "comment": "Transitivity: for a permutation group with known size",
+                    "filters": [
+                        [
+                            "Tester(Size)",
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtperm.gi",
+                        "line": 1117
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "Transitivity: for a permutation group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1540
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "Transitivity: for a class function",
+                    "filters": [
+                        [
+                            "IsClassFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 2158
+                    },
+                    "rank": 31
+                },
+                {
+                    "comment": "Transitivity: for an external set",
+                    "filters": [
+                        [
+                            "IsExternalSet"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1540
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "Transitivity: for a permutation group and a domain or list of integers",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1540
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "Transitivity: for a group and a domain or list",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1540
+                    },
+                    "rank": 34
+                },
+                {
+                    "comment": "Transitivity: for an ordinary table, and a homogeneous list",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 2187
+                    },
+                    "rank": 26
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "Transitivity: for permutation group, domain or list of integers, and function",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1540
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "Transitivity: for a group, a domain or list, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1540
+                    },
+                    "rank": 35
+                }
+            ],
+            "4args": [
+                {
+                    "comment": "Transitivity: for a group, a domain or list, and two lists",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1540
+                    },
+                    "rank": 38
+                }
+            ],
+            "5args": [
+                {
+                    "comment": "Transitivity: permgroup on numbers",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsCyclotomic)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtperm.gi",
+                        "line": 1045
+                    },
+                    "rank": 92
+                },
+                {
+                    "comment": "Transitivity: G, [  ], gens, perms, act",
+                    "filters": [
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+                            "IsMagmaWithInverses",
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+                    "filters": [
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+                        [
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+                            "CategoryCollections(IsPerm)",
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+                            "IsAssociative",
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+                        [
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+                            "IsMagmaWithInverses",
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+                        [
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+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
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+                        [
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+                            "CategoryCollections(IsPerm)",
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+                            "IsAssociative",
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+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1832
+                    },
+                    "rank": 20009
+                },
+                {
+                    "comment": "IsRegular: permgroup with known size",
+                    "filters": [
+                        [
+                            "Tester(Size)",
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtperm.gi",
+                        "line": 1266
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "IsRegular: permgroup",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtperm.gi",
+                        "line": 1262
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "IsRegular: for a permutation group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1832
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "IsRegular: for an external set",
+                    "filters": [
+                        [
+                            "IsExternalSet"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1832
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "IsRegular: for a permutation group and a domain or list of integers",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1832
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "IsRegular: for a group and a domain or list",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1832
+                    },
+                    "rank": 34
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "IsRegular: for permutation group, domain or list of integers, and function",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1832
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "IsRegular: for a group, a domain or list, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1832
+                    },
+                    "rank": 35
+                }
+            ],
+            "4args": [
+                {
+                    "comment": "IsRegular: for a group, a domain or list, and two lists",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1832
+                    },
+                    "rank": 38
+                }
+            ],
+            "5args": [
+                {
+                    "comment": "IsRegular: for a group, a domain, two lists, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1832
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "IsRegular: transitive and semiregular",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2591
+                    },
+                    "rank": 41
+                }
+            ],
+            "6args": []
+        },
+        "name": "IsRegular",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsRegular"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1832
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsRegular): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1832
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsRegular): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1832
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsRegular)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1832
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsRegular)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ],
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsListOrCollection"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1859
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1859
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "RankAction: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RankAction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1859
+                    },
+                    "rank": 20009
+                },
+                {
+                    "comment": "RankAction: for a permutation group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1859
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "RankAction: for an external set",
+                    "filters": [
+                        [
+                            "IsExternalSet"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1859
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "RankAction: for a permutation group and a domain or list of integers",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1859
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "RankAction: for a group and a domain or list",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1859
+                    },
+                    "rank": 34
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "RankAction: for permutation group, domain or list of integers, and function",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1859
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "RankAction: for a group, a domain or list, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1859
+                    },
+                    "rank": 35
+                }
+            ],
+            "4args": [
+                {
+                    "comment": "RankAction: for a group, a domain or list, and two lists",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1859
+                    },
+                    "rank": 38
+                }
+            ],
+            "5args": [
+                {
+                    "comment": "RankAction: G, [  ], gens, perms, act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2910
+                    },
+                    "rank": 77
+                },
+                {
+                    "comment": "RankAction: G, ints, gens, perms, act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsCyclotomic)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2898
+                    },
+                    "rank": 69
+                },
+                {
+                    "comment": "RankAction: for a group, a domain, two lists, and a function",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1859
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "RankAction: via ophom",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2882
+                    },
+                    "rank": 41
+                }
+            ],
+            "6args": []
+        },
+        "name": "RankAction",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetRankAction"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1859
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(RankAction): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1859
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(RankAction): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gd",
+                        "line": 1859
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(RankAction)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasRankAction"
+        ],
+        "filters": [
+            [
+                [
+                    "IsExternalSet"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1859
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(RankAction)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PermutationOp"
+        ],
+        "filters": [
+            [
+                [],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1892
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "PermutationOp: object on list",
+                    "filters": [
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 1921
+                    },
+                    "rank": 3
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PermutationOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PermutationCycleOp"
+        ],
+        "filters": [
+            [
+                [],
+                [
+                    "IsList"
+                ],
+                [],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1921
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [
+                {
+                    "comment": "PermutationCycleOp: of object in list",
+                    "filters": [
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 1993
+                    },
+                    "rank": 3
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PermutationCycleOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CycleOp"
+        ],
+        "filters": [
+            [
+                [],
+                [
+                    "IsList"
+                ],
+                [],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1941
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "CycleOp: straight line program perms",
+                    "filters": [
+                        [
+                            "IsPerm",
+                            "IsStraightLineProgElm"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1948
+                    },
+                    "rank": 129
+                },
+                {
+                    "comment": "CycleOp: for a permutation with memory and an integer",
+                    "filters": [
+                        [
+                            "IsPerm",
+                            "IsObjWithMemory"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 358
+                    },
+                    "rank": 128
+                },
+                {
+                    "comment": "CycleOp: perm, int",
+                    "filters": [
+                        [
+                            "IsPerm",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtperm.gi",
+                        "line": 98
+                    },
+                    "rank": 27
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "CycleOp: perm, int, act",
+                    "filters": [
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtperm.gi",
+                        "line": 92
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "CycleOp",
+                    "filters": [
+                        [],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2082
+                    },
+                    "rank": 1
+                }
+            ],
+            "4args": [
+                {
+                    "comment": "CycleOp: of object in list",
+                    "filters": [
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2055
+                    },
+                    "rank": 3
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CycleOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CyclesOp"
+        ],
+        "filters": [
+            [
+                [],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1961
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "CyclesOp",
+                    "filters": [
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2152
+                    },
+                    "rank": 4
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CyclesOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CycleLengthOp"
+        ],
+        "filters": [
+            [
+                [],
+                [
+                    "IsList"
+                ],
+                [],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 1982
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "CycleLengthOp: straight line program perms",
+                    "filters": [
+                        [
+                            "IsPerm",
+                            "IsStraightLineProgElm"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/straight.gi",
+                        "line": 1933
+                    },
+                    "rank": 129
+                },
+                {
+                    "comment": "CycleLengthOp: for a permutation with memory and an integer",
+                    "filters": [
+                        [
+                            "IsPerm",
+                            "IsObjWithMemory"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/memory.gi",
+                        "line": 334
+                    },
+                    "rank": 128
+                },
+                {
+                    "aka": [
+                        "CYCLE_LENGTH_PERM_INT"
+                    ],
+                    "comment": "CycleLengthOp: perm, int",
+                    "filters": [
+                        [
+                            "IsPerm",
+                            "IsInternalRep"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtperm.gi",
+                        "line": 114
+                    },
+                    "rank": 27
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "CycleLengthOp: perm, int, act",
+                    "filters": [
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtperm.gi",
+                        "line": 111
+                    },
+                    "rank": 27
+                },
+                {
+                    "comment": "CycleLengthOp",
+                    "filters": [
+                        [],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2358
+                    },
+                    "rank": 1
+                }
+            ],
+            "4args": [
+                {
+                    "comment": "CycleLengthOp",
+                    "filters": [
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2352
+                    },
+                    "rank": 3
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CycleLengthOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CycleLengthsOp"
+        ],
+        "filters": [
+            [
+                [],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 2013
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "CycleLengthsOp",
+                    "filters": [
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2411
+                    },
+                    "rank": 3
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CycleLengthsOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CycleIndexOp"
+        ],
+        "filters": [
+            [
+                [],
+                [
+                    "IsListOrCollection"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 2061
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "CycleIndexOp: finite group",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2463
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "CycleIndexOp: element",
+                    "filters": [
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2456
+                    },
+                    "rank": 7
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CycleIndexOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RepresentativeActionOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsList"
+                ],
+                [],
+                [],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 2106
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [
+                {
+                    "comment": "RepresentativeActionOp: TF Method on elements",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(FittingFreeLiftSetup)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/clashom.gi",
+                        "line": 2925
+                    },
+                    "rank": 444
+                },
+                {
+                    "comment": "RepresentativeActionOp: nice group on elements",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 879
+                    },
+                    "rank": 391
+                },
+                {
+                    "comment": "RepresentativeActionOp: pc group on subgroups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 2171
+                    },
+                    "rank": 130
+                },
+                {
+                    "comment": "RepresentativeActionOp: for natural symmetric group",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ],
+                        [],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1567
+                    },
+                    "rank": 73
+                },
+                {
+                    "comment": "RepresentativeActionOp: natural alternating group",
+                    "filters": [
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ],
+                        [],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 167
+                    },
+                    "rank": 73
+                },
+                {
+                    "comment": "RepresentativeActionOp: cycle structure comparison for solvable perm groups",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsPerm"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/pcgsperm.gi",
+                        "line": 1055
+                    },
+                    "rank": 73
+                },
+                {
+                    "comment": "RepresentativeActionOp: permgrp",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtperm.gi",
+                        "line": 1412
+                    },
+                    "rank": 69
+                },
+                {
+                    "comment": "RepresentativeActionOp: element conjugacy in pcgs computable groups",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsMultiplicativeElementWithInverse"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppc.gi",
+                        "line": 1488
+                    },
+                    "rank": 56
+                },
+                {
+                    "comment": "RepresentativeActionOp: orbit algorithm: trace transversal",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2822
+                    },
+                    "rank": 36
+                }
+            ],
+            "5args": [
+                {
+                    "comment": "RepresentativeActionOp: ignore domain",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [],
+                        [],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2693
+                    },
+                    "rank": 38
+                }
+            ],
+            "6args": []
+        },
+        "name": "RepresentativeActionOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "StabiliserFuncOp",
+            "StabilizerFuncOp",
+            "StabilizerOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsListOrCollection"
+                ],
+                [],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 2154
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [
+                {
+                    "comment": "StabilizerFuncOp: use normalizer",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtglat.gi",
+                        "line": 434
+                    },
+                    "rank": 275
+                },
+                {
+                    "comment": "StabilizerFuncOp: alternating group",
+                    "filters": [
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1027
+                    },
+                    "rank": 109
+                },
+                {
+                    "aka": [
+                        "SYMGP_STABILIZER"
+                    ],
+                    "comment": "StabilizerFuncOp: symmetric group",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1005
+                    },
+                    "rank": 109
+                },
+                {
+                    "aka": [
+                        "PermGroupStabilizerOp"
+                    ],
+                    "comment": "StabilizerFuncOp: permutation group with generators list",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtperm.gi",
+                        "line": 1522
+                    },
+                    "rank": 105
+                },
+                {
+                    "comment": "StabilizerFuncOp: G (solv.), pnt, gens, gens, act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [],
+                        [
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtpcgs.gi",
+                        "line": 495
+                    },
+                    "rank": 66
+                },
+                {
+                    "comment": "StabilizerFuncOp: G, pnt, pcgs, acts, act, calling `Pcgs_MutableOrbitStabilizerOp'",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtpcgs.gi",
+                        "line": 455
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "StabilizerFuncOp: G (solv.), pnt, gens, gens, act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtpcgs.gi",
+                        "line": 470
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "StabilizerFuncOp: `OrbitStabilizerAlgorithm' without domain",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2868
+                    },
+                    "rank": 40
+                }
+            ],
+            "6args": [
+                {
+                    "comment": "StabilizerFuncOp: with domain, use normalizer",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtglat.gi",
+                        "line": 423
+                    },
+                    "rank": 277
+                },
+                {
+                    "comment": "StabilizerFuncOp: alternating group",
+                    "filters": [
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1037
+                    },
+                    "rank": 114
+                },
+                {
+                    "comment": "StabilizerFuncOp: symmetric group",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ],
+                        [
+                            "IsCollection",
+                            "IsGeneralizedDomain"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1005
+                    },
+                    "rank": 114
+                },
+                {
+                    "comment": "StabilizerFuncOp: permutation group with domain",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtperm.gi",
+                        "line": 1522
+                    },
+                    "rank": 105
+                },
+                {
+                    "comment": "StabilizerFuncOp: G (solv.), D,pnt, gens, gens, act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [],
+                        [],
+                        [
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtpcgs.gi",
+                        "line": 506
+                    },
+                    "rank": 66
+                },
+                {
+                    "comment": "StabilizerFuncOp: G, D, pnt, pcgs, acts, act, calling `Pcgs_MutableOrbitStabilizerOp'",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [],
+                        [
+                            "IsPrimeOrdersPcgs",
+                            "Tester(IsPrimeOrdersPcgs)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtpcgs.gi",
+                        "line": 447
+                    },
+                    "rank": 63
+                },
+                {
+                    "comment": "StabilizerFuncOp: G (solv.), D,pnt, gens, gens, act",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtpcgs.gi",
+                        "line": 485
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "StabilizerFuncOp: `OrbitStabilizerAlgorithm' with domain",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 2846
+                    },
+                    "rank": 41
+                }
+            ]
+        },
+        "name": "StabilizerFuncOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "OrbitStabiliserAlgorithm",
+            "OrbitStabilizerAlgorithm"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [],
+                [],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsRecord"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 2229
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": [
+                {
+                    "comment": "OrbitStabilizerAlgorithm: for pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [],
+                        [
+                            "IsPcgs"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprtpcgs.gi",
+                        "line": 192
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "OrbitStabilizerAlgorithm: use stabilizer size",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanComputeSizeAnySubgroup"
+                        ],
+                        [],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 1328
+                    },
+                    "rank": 52
+                },
+                {
+                    "comment": "OrbitStabilizerAlgorithm: collect stabilizer generators",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 1413
+                    },
+                    "rank": 40
+                }
+            ]
+        },
+        "name": "OrbitStabilizerAlgorithm",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AbelianSubfactorAction"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 2297
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "AbelianSubfactorAction: generic:use modulo pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 3376
+                    },
+                    "rank": 105
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AbelianSubfactorAction",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "DomainForAction"
+        ],
+        "filters": [
+            [
+                [],
+                [
+                    "IsListOrCollection"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/oprt.gd",
+                "line": 2617
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "DomainForAction: matrix/matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))",
+                            "CategoryCollections(CategoryCollections(IsFFE))"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1915
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "DomainForAction: FFE vector/matrix",
+                    "filters": [
+                        [
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "CategoryCollections(IsFFE)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1885
+                    },
+                    "rank": 29
+                },
+                {
+                    "comment": "DomainForAction: vector/permgrp",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/vecmat.gi",
+                        "line": 1926
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "DomainForAction: default: fail",
+                    "filters": [
+                        [],
+                        [
+                            "IsListOrCollection"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/oprt.gi",
+                        "line": 3338
+                    },
+                    "rank": 2
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "DomainForAction",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "StabChainOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsRecord"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/stbc.gd",
+                "line": 173
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "StabChainOp: trivial group",
+                    "filters": [
+                        [
+                            "IsTrivial",
+                            "Tester(IsTrivial)",
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbc.gi",
+                        "line": 60
+                    },
+                    "rank": 87
+                },
+                {
+                    "comment": "StabChainOp: with base",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbc.gi",
+                        "line": 34
+                    },
+                    "rank": 87
+                },
+                {
+                    "comment": "StabChainOp: empty base",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList",
+                            "IsEmpty",
+                            "Tester(IsEmpty)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbc.gi",
+                        "line": 40
+                    },
+                    "rank": 75
+                },
+                {
+                    "comment": "StabChainOp: alternating group",
+                    "filters": [
+                        [
+                            "IsNaturalAlternatingGroup",
+                            "Tester(IsNaturalAlternatingGroup)"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1904
+                    },
+                    "rank": 63
+                },
+                {
+                    "comment": "StabChainOp: symmetric group",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/gpprmsya.gi",
+                        "line": 1878
+                    },
+                    "rank": 63
+                },
+                {
+                    "comment": "StabChainOp: group and option",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbc.gi",
+                        "line": 183
+                    },
+                    "rank": 59
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "StabChainOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/stbc.gd",
+                "line": 174
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "StabChainMutable: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(StabChainMutable)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbc.gd",
+                        "line": 174
+                    },
+                    "rank": 20003
+                },
+                {
+                    "comment": "StabChainMutable: call StabChainOp",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbc.gi",
+                        "line": 28
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "StabChainMutable: for blocks homomorphism",
+                    "filters": [
+                        [
+                            "IsBlocksHomomorphism"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1559
+                    },
+                    "rank": 23
+                },
+                {
+                    "aka": [
+                        "StabChainPermGroupToPermGroupGeneralMappingByImages"
+                    ],
+                    "comment": "StabChainMutable: perm to perm mapping by images",
+                    "filters": [
+                        [
+                            "IsPermGroupGeneralMappingByImages",
+                            "IsToPermGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 1366
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "StabChainMutable: perm mapping by images",
+                    "filters": [
+                        [
+                            "IsPermGroupGeneralMappingByImages"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomperm.gi",
+                        "line": 954
+                    },
+                    "rank": 19
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "StabChainMutable",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetStabChainMutable"
+        ],
+        "filters": [
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/stbc.gd",
+                "line": 174
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(StabChainMutable): system mutable setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbc.gd",
+                        "line": 174
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(StabChainMutable): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbc.gd",
+                        "line": 174
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(StabChainMutable)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasStabChainMutable"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/stbc.gd",
+                "line": 174
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(StabChainMutable)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/stbc.gd",
+                "line": 175
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "StabChainImmutable: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(StabChainImmutable)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbc.gd",
+                        "line": 175
+                    },
+                    "rank": 20003
+                },
+                {
+                    "comment": "StabChainImmutable: use StabChainMutable",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbc.gi",
+                        "line": 25
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "StabChainImmutable",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetStabChainImmutable"
+        ],
+        "filters": [
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/stbc.gd",
+                "line": 175
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(StabChainImmutable): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbc.gd",
+                        "line": 175
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(StabChainImmutable): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbc.gd",
+                        "line": 175
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(StabChainImmutable)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasStabChainImmutable"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/stbc.gd",
+                "line": 175
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(StabChainImmutable)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "CategoryCollections(IsPerm)",
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/stbc.gd",
+                "line": 195
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "StabChainOptions: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(StabChainOptions)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbc.gd",
+                        "line": 195
+                    },
+                    "rank": 20046
+                },
+                {
+                    "comment": "StabChainOptions",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbc.gi",
+                        "line": 312
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "StabChainOptions: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/stbc.gd",
+                        "line": 195
+                    },
+                    "rank": -16
+                }
+            ],
+            "2args": [],
+            "3args": [],
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+                    "Tester(IsAssociative)"
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                            "IsAssociative",
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+                        [
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+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                            "IsAssociative",
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+                    "Tester(IsAssociative)"
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+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
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+                            "IsAssociative",
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+                        ],
+                        [
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+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
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+                            "IsAttributeStoringRep",
+                            "Tester(LeftActingGroup)"
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+                    "filters": [
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+                            "IsAttributeStoringRep",
+                            "Tester(RightActingGroup)"
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+                    "Tester(IsAssociative)"
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+                [],
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+                    "IsMagmaWithInverses",
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    ],
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+                    "filters": [
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        [],
+                        [
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+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        [
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+                            "IsPosRat"
+                        ]
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                [
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                [
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
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+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
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+                        [
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+                            "IsAssociative",
+                            "Tester(IsAssociative)",
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        [
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+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                },
+                {
+                    "comment": "RepresentativesContainedRightCosets: generic",
+                    "filters": [
+                        [
+                            "IsDoubleCoset"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 300
+                    },
+                    "rank": 8
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RepresentativesContainedRightCosets",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetRepresentativesContainedRightCosets"
+        ],
+        "filters": [
+            [
+                [
+                    "IsDoubleCoset"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/csetgrp.gd",
+                "line": 298
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(RepresentativesContainedRightCosets): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gd",
+                        "line": 298
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(RepresentativesContainedRightCosets): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gd",
+                        "line": 298
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(RepresentativesContainedRightCosets)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasRepresentativesContainedRightCosets"
+        ],
+        "filters": [
+            [
+                [
+                    "IsDoubleCoset"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/csetgrp.gd",
+                "line": 298
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(RepresentativesContainedRightCosets)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RightCoset"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/csetgrp.gd",
+                "line": 361
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "RightCoset: use subgroup size",
+                    "filters": [
+                        [
+                            "Tester(Size)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 402
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "RightCoset: generic",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 381
+                    },
+                    "rank": 35
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RightCoset",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RightCosetsNC"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/csetgrp.gd",
+                "line": 395
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "RightCosetsNC: via niceomorphism",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 821
+                    },
+                    "rank": 405
+                },
+                {
+                    "comment": "RightCosetsNC: perm groups, use RightTransversal",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 1120
+                    },
+                    "rank": 116
+                },
+                {
+                    "comment": "RightCosetsNC: pc groups, use RightTransversal",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 1126
+                    },
+                    "rank": 92
+                },
+                {
+                    "comment": "RightCosetsNC: generic: orbit",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/csetgrp.gi",
+                        "line": 1113
+                    },
+                    "rank": 70
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RightCosetsNC",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "DoCheapActionImages",
+            "DoCheapOperationImages"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/factgrp.gd",
+                "line": 52
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "DoCheapActionImages: permutation",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/factgrp.gi",
+                        "line": 516
+                    },
+                    "rank": 58
+                },
+                {
+                    "comment": "DoCheapActionImages: generic",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/factgrp.gi",
+                        "line": 451
+                    },
+                    "rank": 35
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "DoCheapActionImages",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "FindActionKernel",
+            "FindOperationKernel"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/factgrp.gd",
+                "line": 70
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "FindActionKernel: Niceo",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/factgrp.gi",
+                        "line": 1268
+                    },
+                    "rank": 404
+                },
+                {
+                    "comment": "FindActionKernel: perm",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/factgrp.gi",
+                        "line": 1251
+                    },
+                    "rank": 116
+                },
+                {
+                    "comment": "FindActionKernel: generic for finite groups",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/factgrp.gi",
+                        "line": 1059
+                    },
+                    "rank": 79
+                },
+                {
+                    "comment": "FindActionKernel: general case: can't do",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/factgrp.gi",
+                        "line": 1065
+                    },
+                    "rank": 70
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "FindActionKernel",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/factgrp.gd",
+                "line": 124
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NaturalHomomorphismsPool: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NaturalHomomorphismsPool)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/factgrp.gd",
+                        "line": 124
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "NaturalHomomorphismsPool",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/factgrp.gi",
+                        "line": 18
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "NaturalHomomorphismsPool: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/factgrp.gd",
+                        "line": 124
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NaturalHomomorphismsPool",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetNaturalHomomorphismsPool"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/factgrp.gd",
+                "line": 124
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(NaturalHomomorphismsPool): system mutable setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/factgrp.gd",
+                        "line": 124
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(NaturalHomomorphismsPool): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/factgrp.gd",
+                        "line": 124
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(NaturalHomomorphismsPool)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasNaturalHomomorphismsPool"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/factgrp.gd",
+                "line": 124
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(NaturalHomomorphismsPool)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "FactorCosetAction"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/factgrp.gd",
+                "line": 151
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "FactorCosetAction: by right transversal operation, Niceo",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/factgrp.gi",
+                        "line": 435
+                    },
+                    "rank": 404
+                },
+                {
+                    "comment": "FactorCosetAction: for full fp group on subgroup",
+                    "filters": [
+                        [
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 4139
+                    },
+                    "rank": 80
+                },
+                {
+                    "comment": "FactorCosetAction: subgrp in quotient Rep",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup",
+                            "IsSubgroupOfWholeGroupByQuotientRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 4162
+                    },
+                    "rank": 75
+                },
+                {
+                    "comment": "FactorCosetAction: for subgroups of an fp group",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 4145
+                    },
+                    "rank": 74
+                },
+                {
+                    "comment": "FactorCosetAction: by right transversal operation",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/factgrp.gi",
+                        "line": 420
+                    },
+                    "rank": 70
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "FactorCosetAction: by right transversal operation, given kernel, Niceo",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/factgrp.gi",
+                        "line": 444
+                    },
+                    "rank": 439
+                },
+                {
+                    "comment": "FactorCosetAction: by right transversal operation, given kernel",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/factgrp.gi",
+                        "line": 427
+                    },
+                    "rank": 105
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "FactorCosetAction",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "AbsolutIrreducibleModules",
+            "AbsoluteIrreducibleModules",
+            "AbsolutelyIrreducibleModules"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsNonTrivial",
+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpreps.gd",
+                "line": 32
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "AbsolutIrreducibleModules: generic method for groups with pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing",
+                            "IsPrimeField",
+                            "Tester(IsPrimeField)"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcrep.gi",
+                        "line": 596
+                    },
+                    "rank": 118
+                },
+                {
+                    "comment": "AbsolutIrreducibleModules: generic method for groups and finite field",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpreps.gi",
+                        "line": 82
+                    },
+                    "rank": 111
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AbsolutIrreducibleModules",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IrreducibleModules"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
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+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpreps.gd",
+                "line": 53
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "IrreducibleModules: generic method for groups with pcgs",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing",
+                            "IsPrimeField",
+                            "Tester(IsPrimeField)"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grppcrep.gi",
+                        "line": 621
+                    },
+                    "rank": 118
+                },
+                {
+                    "comment": "IrreducibleModules: generic method for groups and finite field",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
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+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpreps.gi",
+                        "line": 60
+                    },
+                    "rank": 111
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IrreducibleModules",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RegularModule"
+        ],
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
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+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
+                    "IsMagma",
+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpreps.gd",
+                "line": 73
+            }
+        ],
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "RegularModule: generic method for groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpreps.gi",
+                        "line": 39
+                    },
+                    "rank": 89
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "OCAddToFunctions2"
+        ],
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+            [
+                [
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+                ],
+                [
+                    "IsListOrCollection"
+                ]
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+                "file": "/home/makx/ac/gap/lib/onecohom.gd",
+                "line": 90
+            }
+        ],
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+            "1args": [],
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+                    "filters": [
+                        [
+                            "IsRecord"
+                        ],
+                        [
+                            "IsModuloPcgs"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 443
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "OCAddToFunctions2: generic",
+                    "filters": [
+                        [
+                            "IsRecord"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/onecohom.gi",
+                        "line": 474
+                    },
+                    "rank": 3
+                }
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                [
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+                ],
+                [
+                    "IsListOrCollection"
+                ]
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+                "file": "/home/makx/ac/gap/lib/onecohom.gd",
+                "line": 105
+            }
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+                    "filters": [
+                        [
+                            "IsRecord"
+                        ],
+                        [
+                            "IsModuloPcgs"
+                        ]
+                    ],
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+                        "line": 632
+                    },
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+                },
+                {
+                    "comment": "OCAddRelations: perm group",
+                    "filters": [
+                        [
+                            "IsRecord"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
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+                        "line": 669
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+            "5args": [],
+            "6args": []
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+            [
+                [
+                    "IsRecord"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsListOrCollection"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/onecohom.gd",
+                "line": 119
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+            "1args": [],
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+                    "filters": [
+                        [
+                            "IsRecord"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/onecohom.gi",
+                        "line": 727
+                    },
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+            "5args": [],
+            "6args": []
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+        "aka": [
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+        ],
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+                [
+                    "IsRecord"
+                ],
+                [
+                    "IsListOrCollection"
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+                "file": "/home/makx/ac/gap/lib/onecohom.gd",
+                "line": 134
+            }
+        ],
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+            "1args": [],
+            "2args": [
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+                    "comment": "OCAddSumMatrices: pc group",
+                    "filters": [
+                        [
+                            "IsRecord"
+                        ],
+                        [
+                            "IsPcgs"
+                        ]
+                    ],
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+                        "line": 773
+                    },
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+                },
+                {
+                    "comment": "OCAddSumMatrices: perm group",
+                    "filters": [
+                        [
+                            "IsRecord"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 814
+                    },
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+        "aka": [
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+        ],
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+            [
+                [
+                    "IsRecord"
+                ],
+                [
+                    "IsListOrCollection"
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+                "file": "/home/makx/ac/gap/lib/onecohom.gd",
+                "line": 149
+            }
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+            "1args": [],
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+                    "filters": [
+                        [
+                            "IsRecord"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/onecohom.gi",
+                        "line": 918
+                    },
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+                }
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+            [
+                [
+                    "IsRecord"
+                ],
+                [
+                    "IsListOrCollection"
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+        "type": "GAP_Operation"
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+        "aka": [
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+            [
+                [
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+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsListOrCollection"
+                ]
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+        ],
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+                "file": "/home/makx/ac/gap/lib/onecohom.gd",
+                "line": 423
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+                    "filters": [
+                        [
+                            "IsRecord"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ]
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+                        "line": 1127
+                    },
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+                },
+                {
+                    "comment": "OCAddComplement: generic",
+                    "filters": [
+                        [
+                            "IsRecord"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsListOrCollection"
+                        ]
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+                        "line": 1134
+                    },
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ComplementClassesRepresentativesSolubleNC",
+            "ComplementClassesRepresentativesSolvableNC"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+            ]
+        ],
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+                "line": 156
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+                    "filters": [
+                        [
+                            "CanEasilyComputePcgs"
+                        ],
+                        [
+                            "CanEasilyComputePcgs"
+                        ]
+                    ],
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+                        "line": 913
+                    },
+                    "rank": 80
+                },
+                {
+                    "aka": [
+                        "ComplementClassesRepresentativesSolvableWBG"
+                    ],
+                    "comment": "ComplementClassesRepresentativesSolvableNC: using cohomology",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
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+                        "line": 235
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+            "6args": []
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+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsList"
+                ]
+            ],
+            [
+                [
+                    "IsWholeFamily",
+                    "Tester(IsWholeFamily)",
+                    "IsSubgroupFpGroup"
+                ],
+                [
+                    "IsSubgroupFpGroup"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                "line": 891
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                "line": 893
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                "line": 895
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                "line": 898
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "LowIndexSubgroupsFpGroupIterator: supply trivial subgroup",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 3046
+                    },
+                    "rank": 56
+                }
+            ],
+            "3args": [
+                {
+                    "aka": [
+                        "DoLowIndexSubgroupsFpGroupIterator"
+                    ],
+                    "comment": "LowIndexSubgroupsFpGroupIterator: full f.p. group, subgroup of it",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 3052
+                    },
+                    "rank": 96
+                },
+                {
+                    "aka": [
+                        "DoLowIndexSubgroupsFpGroupIteratorWithSubgroupAndExclude"
+                    ],
+                    "comment": "LowIndexSubgroupsFpGroupIterator: full f.p. group, subgroup of it -- still the old code",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 2797
+                    },
+                    "rank": 95
+                },
+                {
+                    "comment": "LowIndexSubgroupsFpGroupIterator: subgroups of f.p. group",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 3078
+                    },
+                    "rank": 93
+                },
+                {
+                    "comment": "LowIndexSubgroupsFpGroupIterator: supply trivial subgroup, with exclusion list",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 2805
+                    },
+                    "rank": 61
+                }
+            ],
+            "4args": [
+                {
+                    "comment": "LowIndexSubgroupsFpGroupIterator: full f.p. group, subgroup of it, with exclusion list",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 2797
+                    },
+                    "rank": 98
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LowIndexSubgroupsFpGroupIterator",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsSubgroupFpGroup"
+                ],
+                [
+                    "IsSubgroupFpGroup"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                "line": 901
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "LowIndexSubgroupsFpGroup: supply trivial subgroup",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 3119
+                    },
+                    "rank": 56
+                }
+            ],
+            "3args": [
+                {
+                    "aka": [
+                        "DoLowIndexSubgroupsFpGroupViaIterator"
+                    ],
+                    "comment": "LowIndexSubgroupsFpGroup: subgroups of full fp group",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 3100
+                    },
+                    "rank": 96
+                },
+                {
+                    "comment": "LowIndexSubgroupsFpGroup: subgroups of fp group",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 3142
+                    },
+                    "rank": 93
+                },
+                {
+                    "comment": "LowIndexSubgroupsFpGroup: with exclusion list, supply trivial subgroup",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 3126
+                    },
+                    "rank": 61
+                }
+            ],
+            "4args": [
+                {
+                    "comment": "LowIndexSubgroupsFpGroup: subgroups of full fp group, with exclusion list",
+                    "filters": [
+                        [
+                            "IsWholeFamily",
+                            "Tester(IsWholeFamily)",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 3100
+                    },
+                    "rank": 98
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LowIndexSubgroupsFpGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGroupOfFamily",
+                    "IsSubgroupFpGroup"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                "line": 947
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "FreeGeneratorsOfFpGroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(FreeGeneratorsOfFpGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                        "line": 947
+                    },
+                    "rank": 20040
+                },
+                {
+                    "comment": "FreeGeneratorsOfFpGroup: for a free group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsGroupOfFamily",
+                            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfree.gi",
+                        "line": 525
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "FreeGeneratorsOfFpGroup: for a finitely presented group",
+                    "filters": [
+                        [
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1605
+                    },
+                    "rank": 38
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "FreeGeneratorsOfFpGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetFreeGeneratorsOfFpGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGroupOfFamily",
+                    "IsSubgroupFpGroup"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                "line": 947
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(FreeGeneratorsOfFpGroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                        "line": 947
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(FreeGeneratorsOfFpGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                        "line": 947
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(FreeGeneratorsOfFpGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasFreeGeneratorsOfFpGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGroupOfFamily",
+                    "IsSubgroupFpGroup"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                "line": 947
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(FreeGeneratorsOfFpGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "FreeGeneratorsOfWholeGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsSubgroupFpGroup"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                "line": 949
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "FreeGeneratorsOfWholeGroup: for a finitely presented group",
+                    "filters": [
+                        [
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1615
+                    },
+                    "rank": 37
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "FreeGeneratorsOfWholeGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGroupOfFamily",
+                    "IsSubgroupFpGroup"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                "line": 993
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "RelatorsOfFpGroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(RelatorsOfFpGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                        "line": 993
+                    },
+                    "rank": 20040
+                },
+                {
+                    "comment": "RelatorsOfFpGroup: for a free group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsGroupOfFamily",
+                            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfree.gi",
+                        "line": 535
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "RelatorsOfFpGroup: for finitely presented group",
+                    "filters": [
+                        [
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 3514
+                    },
+                    "rank": 38
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RelatorsOfFpGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetRelatorsOfFpGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGroupOfFamily",
+                    "IsSubgroupFpGroup"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                "line": 993
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(RelatorsOfFpGroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                        "line": 993
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(RelatorsOfFpGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                        "line": 993
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(RelatorsOfFpGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasRelatorsOfFpGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGroupOfFamily",
+                    "IsSubgroupFpGroup"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                "line": 993
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(RelatorsOfFpGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGroupOfFamily",
+                    "IsSubgroupFpGroup"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                "line": 1012
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "FreeGroupOfFpGroup: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(FreeGroupOfFpGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                        "line": 1012
+                    },
+                    "rank": 20040
+                },
+                {
+                    "comment": "FreeGroupOfFpGroup: for a free group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsGroupOfFamily",
+                            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfree.gi",
+                        "line": 545
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "FreeGroupOfFpGroup: for a finitely presented group",
+                    "filters": [
+                        [
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 1623
+                    },
+                    "rank": 38
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "FreeGroupOfFpGroup",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetFreeGroupOfFpGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGroupOfFamily",
+                    "IsSubgroupFpGroup"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                "line": 1012
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(FreeGroupOfFpGroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                        "line": 1012
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(FreeGroupOfFpGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                        "line": 1012
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(FreeGroupOfFpGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasFreeGroupOfFpGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGroupOfFamily",
+                    "IsSubgroupFpGroup"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                "line": 1012
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(FreeGroupOfFpGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGroupOfFamily",
+                    "IsSubgroupFpGroup"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                "line": 1031
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IndicesInvolutaryGenerators: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IndicesInvolutaryGenerators)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gd",
+                        "line": 1031
+                    },
+                    "rank": 20040
+                },
+                {
+                    "comment": "IndicesInvolutaryGenerators: for finitely presented group",
+                    "filters": [
+                        [
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpfp.gi",
+                        "line": 3529
+                    },
+                    "rank": 38
+                }
+            ],
+            "2args": [],
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+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ghomfp.gd",
+                "line": 288
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(EpimorphismFromFreeGroup): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gd",
+                        "line": 288
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(EpimorphismFromFreeGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ghomfp.gd",
+                        "line": 288
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(EpimorphismFromFreeGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasEpimorphismFromFreeGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ghomfp.gd",
+                "line": 288
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(EpimorphismFromFreeGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                "line": 34
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NiceMonomorphism: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                        "line": 34
+                    },
+                    "rank": 20003
+                },
+                {
+                    "comment": "NiceMonomorphism: SeedFaithfulAction supersedes",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)",
+                            "Tester(SeedFaithfulAction)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 1014
+                    },
+                    "rank": 1371
+                },
+                {
+                    "comment": "NiceMonomorphism: for subgroups that get the nice monomorphism by their parent",
+                    "filters": [
+                        [
+                            "Tester(ParentAttr)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 169
+                    },
+                    "rank": 759
+                },
+                {
+                    "comment": "NiceMonomorphism: falling back on GL",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpffmat.gi",
+                        "line": 157
+                    },
+                    "rank": 393
+                },
+                {
+                    "comment": "NiceMonomorphism: use NicomorphismOfGeneralMatrixGroup",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpmat.gi",
+                        "line": 547
+                    },
+                    "rank": 390
+                },
+                {
+                    "comment": "NiceMonomorphism: for automorphism groups",
+                    "filters": [
+                        [
+                            "IsGroupOfAutomorphismsFiniteGroup",
+                            "Tester(IsGroupOfAutomorphismsFiniteGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/morpheus.gi",
+                        "line": 1937
+                    },
+                    "rank": 383
+                },
+                {
+                    "comment": "NiceMonomorphism: via IsomorphismAbelianGroupViaIndependentGenerators",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CanEasilyComputeWithIndependentGensAbelianGroup",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 198
+                    },
+                    "rank": 370
+                },
+                {
+                    "comment": "NiceMonomorphism: regular action",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 188
+                    },
+                    "rank": 369
+                },
+                {
+                    "comment": "NiceMonomorphism: if a canonical nice monomorphism is already known",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(CanonicalNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 975
+                    },
+                    "rank": 136
+                },
+                {
+                    "comment": "NiceMonomorphism: for a (nonrational) cyclotomic matrix group",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpramat.gi",
+                        "line": 390
+                    },
+                    "rank": 48
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NiceMonomorphism",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetNiceMonomorphism"
+        ],
+        "filters": [
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                "line": 34
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(NiceMonomorphism): set `IsNiceomorphism' property",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 25
+                    },
+                    "rank": 10058
+                },
+                {
+                    "comment": "Setter(NiceMonomorphism): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                        "line": 34
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(NiceMonomorphism): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                        "line": 34
+                    },
+                    "rank": 0
+                }
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasNiceMonomorphism"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                "line": 34
+            }
+        ],
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+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(NiceMonomorphism)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping",
+                    "RespectsMultiplication",
+                    "Tester(RespectsMultiplication)",
+                    "RespectsInverses",
+                    "Tester(RespectsInverses)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                "line": 110
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsCanonicalNiceMonomorphism: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsCanonicalNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                        "line": 110
+                    },
+                    "rank": 20016
+                },
+                {
+                    "comment": "IsCanonicalNiceMonomorphism: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                        "line": 110
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsCanonicalNiceMonomorphism",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsCanonicalNiceMonomorphism"
+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping",
+                    "RespectsMultiplication",
+                    "Tester(RespectsMultiplication)",
+                    "RespectsInverses",
+                    "Tester(RespectsInverses)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                "line": 110
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsCanonicalNiceMonomorphism): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                        "line": 110
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsCanonicalNiceMonomorphism): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                        "line": 110
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsCanonicalNiceMonomorphism)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping",
+                    "RespectsMultiplication",
+                    "Tester(RespectsMultiplication)",
+                    "RespectsInverses",
+                    "Tester(RespectsInverses)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                "line": 110
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsCanonicalNiceMonomorphism)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                "line": 125
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "CanonicalNiceMonomorphism: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(CanonicalNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                        "line": 125
+                    },
+                    "rank": 20003
+                },
+                {
+                    "comment": "CanonicalNiceMonomorphism",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpmat.gi",
+                        "line": 554
+                    },
+                    "rank": 390
+                },
+                {
+                    "comment": "CanonicalNiceMonomorphism: test canonicity of existing niceo",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "Tester(NiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 989
+                    },
+                    "rank": 36
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CanonicalNiceMonomorphism",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetCanonicalNiceMonomorphism"
+        ],
+        "filters": [
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                "line": 125
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(CanonicalNiceMonomorphism): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                        "line": 125
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(CanonicalNiceMonomorphism): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                        "line": 125
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(CanonicalNiceMonomorphism)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasCanonicalNiceMonomorphism"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                "line": 125
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(CanonicalNiceMonomorphism)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                "line": 159
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NiceObject: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NiceObject)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                        "line": 159
+                    },
+                    "rank": 20003
+                },
+                {
+                    "comment": "NiceObject",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gi",
+                        "line": 147
+                    },
+                    "rank": 369
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NiceObject",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetNiceObject"
+        ],
+        "filters": [
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                "line": 159
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(NiceObject): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                        "line": 159
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(NiceObject): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                        "line": 159
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(NiceObject)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasNiceObject"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                "line": 159
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(NiceObject)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                "line": 181
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsHandledByNiceMonomorphism: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpnice.gd",
+                        "line": 181
+                    },
+                    "rank": 20003
+                },
+                {
+                    "comment": "IsHandledByNiceMonomorphism: for a cyclotomic matrix group",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/grpramat.gi",
+                        "line": 408
+                    },
+                    "rank": 48
+                }
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+                    "rank": -58
+                },
+                {
+                    "comment": "AlternatingGroupCons: pc group with degree",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicpcg.gi",
+                        "line": 132
+                    },
+                    "rank": -62
+                },
+                {
+                    "comment": "AlternatingGroupCons: regular perm group with domain",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsRegular",
+                            "Tester(IsRegular)"
+                        ],
+                        [
+                            "IsDenseList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicprm.gi",
+                        "line": 184
+                    },
+                    "rank": -65
+                },
+                {
+                    "comment": "AlternatingGroupCons: regular perm group with degree",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsRegular",
+                            "Tester(IsRegular)"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicprm.gi",
+                        "line": 163
+                    },
+                    "rank": -65
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "AlternatingGroupCons",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CyclicGroupCons"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/grp/basic.gd",
+                "line": 213
+            }
+        ],
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+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "CyclicGroupCons: fp group",
+                    "filters": [
+                        [
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicfp.gi",
+                        "line": 114
+                    },
+                    "rank": -38
+                },
+                {
+                    "comment": "CyclicGroupCons: pc group",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicpcg.gi",
+                        "line": 174
+                    },
+                    "rank": -62
+                },
+                {
+                    "comment": "CyclicGroupCons: regular perm group",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsRegular",
+                            "Tester(IsRegular)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicprm.gi",
+                        "line": 211
+                    },
+                    "rank": -65
+                },
+                {
+                    "comment": "CyclicGroupCons: matrix group for default field",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicmat.gi",
+                        "line": 67
+                    },
+                    "rank": -390
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "CyclicGroupCons: matrix group for given field",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicmat.gi",
+                        "line": 41
+                    },
+                    "rank": -390
+                }
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+            "5args": [],
+            "6args": []
+        },
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+        "aka": [
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+        ],
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/grp/basic.gd",
+                "line": 279
+            }
+        ],
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "DihedralGroupCons: fp group",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicfp.gi",
+                        "line": 143
+                    },
+                    "rank": -47
+                },
+                {
+                    "comment": "DihedralGroupCons: perm. group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicprm.gi",
+                        "line": 237
+                    },
+                    "rank": -58
+                },
+                {
+                    "comment": "DihedralGroupCons: pc group",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicpcg.gi",
+                        "line": 215
+                    },
+                    "rank": -62
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "QuaternionGroupCons"
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+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/grp/basic.gd",
+                "line": 331
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "QuaternionGroupCons: fp group",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicfp.gi",
+                        "line": 168
+                    },
+                    "rank": -47
+                },
+                {
+                    "comment": "QuaternionGroupCons: perm. group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicprm.gi",
+                        "line": 253
+                    },
+                    "rank": -58
+                },
+                {
+                    "comment": "QuaternionGroupCons: pc group",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicpcg.gi",
+                        "line": 258
+                    },
+                    "rank": -62
+                },
+                {
+                    "comment": "QuaternionGroupCons: matrix group for default field",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicmat.gi",
+                        "line": 81
+                    },
+                    "rank": -390
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "QuaternionGroupCons: matrix group for given field",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicmat.gi",
+                        "line": 132
+                    },
+                    "rank": -390
+                }
+            ],
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+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/grp/basic.gd",
+                "line": 392
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ElementaryAbelianGroupCons: fp group",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicfp.gi",
+                        "line": 190
+                    },
+                    "rank": -47
+                },
+                {
+                    "comment": "ElementaryAbelianGroupCons: perm group",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicprm.gi",
+                        "line": 75
+                    },
+                    "rank": -58
+                },
+                {
+                    "comment": "ElementaryAbelianGroupCons: pc group",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicpcg.gi",
+                        "line": 281
+                    },
+                    "rank": -62
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/grp/basic.gd",
+                "line": 445
+            }
+        ],
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "FreeAbelianGroupCons: fp group",
+                    "filters": [
+                        [
+                            "IsGroupOfFamily",
+                            "IsSubgroupFpGroup"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicfp.gi",
+                        "line": 208
+                    },
+                    "rank": -38
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
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+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/grp/basic.gd",
+                "line": 498
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "ExtraspecialGroupCons: pc group",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicpcg.gi",
+                        "line": 380
+                    },
+                    "rank": -62
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+            ],
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+            "5args": [],
+            "6args": []
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+        "name": "ExtraspecialGroupCons",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/grp/basic.gd",
+                "line": 564
+            }
+        ],
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "MathieuGroupCons: perm group with degree",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicprm.gi",
+                        "line": 345
+                    },
+                    "rank": -58
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "MathieuGroupCons",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SymmetricGroupCons"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/grp/basic.gd",
+                "line": 618
+            }
+        ],
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "SymmetricGroupCons: perm group with domain",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsDenseList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicprm.gi",
+                        "line": 404
+                    },
+                    "rank": -58
+                },
+                {
+                    "comment": "SymmetricGroupCons: perm group with degree",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicprm.gi",
+                        "line": 362
+                    },
+                    "rank": -58
+                },
+                {
+                    "comment": "SymmetricGroupCons: pc group with degree",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicpcg.gi",
+                        "line": 399
+                    },
+                    "rank": -62
+                },
+                {
+                    "comment": "SymmetricGroupCons: regular perm group with domain",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsRegular",
+                            "Tester(IsRegular)"
+                        ],
+                        [
+                            "IsDenseList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicprm.gi",
+                        "line": 443
+                    },
+                    "rank": -65
+                },
+                {
+                    "comment": "SymmetricGroupCons: regular perm group with degree",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsRegular",
+                            "Tester(IsRegular)"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicprm.gi",
+                        "line": 422
+                    },
+                    "rank": -65
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SymmetricGroupCons",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "GeneralLinearGroupCons"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
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+            {
+                "file": "/home/makx/ac/gap/grp/classic.gd",
+                "line": 71
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+        ],
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+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "GeneralLinearGroupCons: some generators for GL_n(Z)",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsIntegers"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 68
+                    },
+                    "rank": -45
+                },
+                {
+                    "comment": "GeneralLinearGroupCons: convert to permgroup",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/classic.gi",
+                        "line": 2112
+                    },
+                    "rank": -134
+                },
+                {
+                    "comment": "GeneralLinearGroupCons: natural GL for dimension and residue class ring",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "CategoryCollections(IsZmodnZObjNonprime)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/glzmodmz.gi",
+                        "line": 104
+                    },
+                    "rank": -390
+                },
+                {
+                    "comment": "GeneralLinearGroupCons: matrix group for dimension and finite field",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicmat.gi",
+                        "line": 181
+                    },
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+            ],
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ],
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/grp/classic.gd",
+                "line": 172
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+            {
+                "file": "/home/makx/ac/gap/grp/classic.gd",
+                "line": 174
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+            "2args": [],
+            "3args": [],
+            "4args": [
+                {
+                    "comment": "GeneralOrthogonalGroupCons: convert to permgroup",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt"
+                        ],
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/classic.gi",
+                        "line": 2114
+                    },
+                    "rank": -152
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "CategoryCollections(IsZmodnZObjNonprime)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/glzmodmz.gi",
+                        "line": 478
+                    },
+                    "rank": -390
+                },
+                {
+                    "comment": "GeneralOrthogonalGroupCons: matrix group for dimension and finite field",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/classic.gi",
+                        "line": 1495
+                    },
+                    "rank": -390
+                },
+                {
+                    "comment": "GeneralOrthogonalGroupCons: matrix group for <e>, dimension, and finite field size",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/classic.gi",
+                        "line": 1485
+                    },
+                    "rank": -390
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/grp/classic.gd",
+                "line": 243
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+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "GeneralUnitaryGroupCons: convert to permgroup",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/classic.gi",
+                        "line": 2116
+                    },
+                    "rank": -134
+                },
+                {
+                    "comment": "GeneralUnitaryGroupCons: matrix group for dimension and finite field size",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/classic.gi",
+                        "line": 223
+                    },
+                    "rank": -390
+                }
+            ],
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+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
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+        ],
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
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+            {
+                "file": "/home/makx/ac/gap/grp/classic.gd",
+                "line": 305
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+        ],
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+            "1args": [],
+            "2args": [],
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+                    "comment": "SpecialLinearGroupCons: some generators for SL_n(Z)",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsIntegers"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/grpramat.gi",
+                        "line": 101
+                    },
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+                },
+                {
+                    "comment": "SpecialLinearGroupCons: convert to permgroup",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/grp/classic.gi",
+                        "line": 2119
+                    },
+                    "rank": -134
+                },
+                {
+                    "comment": "SpecialLinearGroupCons: natural SL for dimension and residue class ring",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagma",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "CategoryCollections(IsZmodnZObjNonprime)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/glzmodmz.gi",
+                        "line": 70
+                    },
+                    "rank": -390
+                },
+                {
+                    "comment": "SpecialLinearGroupCons: matrix group for dimension and finite field",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/grp/basicmat.gi",
+                        "line": 244
+                    },
+                    "rank": -390
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ],
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsMagma",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/grp/classic.gd",
+                "line": 392
+            },
+            {
+                "file": "/home/makx/ac/gap/grp/classic.gd",
+                "line": 394
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+            "3args": [],
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+                            "Tester(IsFinite)",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
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+                            "IsAssociative",
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+                        [
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+                            "Tester(IsLDistributive)",
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+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
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+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
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+                            "IsMagmaWithInversesIfNonzero",
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+                        "line": 119
+                    },
+                    "rank": 2
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "OrderingByLessThanFunctionNC: for a family, a function, and a list of properties",
+                    "filters": [
+                        [
+                            "IsFamily"
+                        ],
+                        [
+                            "IsFunction"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 128
+                    },
+                    "rank": 4
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "OrderingByLessThanFunctionNC",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "OrderingByLessThanOrEqualFunctionNC"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 309
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "OrderingByLessThanOrEqualFunctionNC: for a family and a function",
+                    "filters": [
+                        [
+                            "IsFamily"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 140
+                    },
+                    "rank": 2
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "OrderingByLessThanOrEqualFunctionNC: for a family, a function, and a list of properties",
+                    "filters": [
+                        [
+                            "IsFamily"
+                        ],
+                        [
+                            "IsFunction"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 148
+                    },
+                    "rank": 4
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "OrderingByLessThanOrEqualFunctionNC",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsOrdering"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 357
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsOrderingOnFamilyOfAssocWords: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsOrderingOnFamilyOfAssocWords)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 357
+                    },
+                    "rank": 20004
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsOrderingOnFamilyOfAssocWords",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsOrderingOnFamilyOfAssocWords"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdering"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 357
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsOrderingOnFamilyOfAssocWords): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 357
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsOrderingOnFamilyOfAssocWords): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 357
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsOrderingOnFamilyOfAssocWords)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsOrdering"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 357
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsOrderingOnFamilyOfAssocWords)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsOrderingOnFamilyOfAssocWords",
+                    "Tester(IsOrderingOnFamilyOfAssocWords)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 374
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "LetterRepWordsLessFunc: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(LetterRepWordsLessFunc)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 374
+                    },
+                    "rank": 20006
+                },
+                {
+                    "comment": "LetterRepWordsLessFunc: default method requiring categories and checking properties",
+                    "filters": [
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 374
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LetterRepWordsLessFunc",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetLetterRepWordsLessFunc"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrderingOnFamilyOfAssocWords",
+                    "Tester(IsOrderingOnFamilyOfAssocWords)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 374
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(LetterRepWordsLessFunc): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 374
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(LetterRepWordsLessFunc): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 374
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(LetterRepWordsLessFunc)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasLetterRepWordsLessFunc"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrderingOnFamilyOfAssocWords",
+                    "Tester(IsOrderingOnFamilyOfAssocWords)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 374
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(LetterRepWordsLessFunc)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsOrdering",
+                    "IsOrderingOnFamilyOfAssocWords",
+                    "Tester(IsOrderingOnFamilyOfAssocWords)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 399
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IsTranslationInvariantOrdering: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsTranslationInvariantOrdering)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 399
+                    },
+                    "rank": 20006
+                },
+                {
+                    "comment": "IsTranslationInvariantOrdering: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsOrdering"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 399
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsTranslationInvariantOrdering",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsTranslationInvariantOrdering"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdering",
+                    "IsOrderingOnFamilyOfAssocWords",
+                    "Tester(IsOrderingOnFamilyOfAssocWords)"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 399
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsTranslationInvariantOrdering): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 399
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsTranslationInvariantOrdering): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 399
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsTranslationInvariantOrdering)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsOrdering",
+                    "IsOrderingOnFamilyOfAssocWords",
+                    "Tester(IsOrderingOnFamilyOfAssocWords)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 399
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsTranslationInvariantOrdering)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsOrdering",
+                    "IsOrderingOnFamilyOfAssocWords",
+                    "Tester(IsOrderingOnFamilyOfAssocWords)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 453
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "OrderingOnGenerators: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(OrderingOnGenerators)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 453
+                    },
+                    "rank": 20006
+                },
+                {
+                    "comment": "OrderingOnGenerators: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsOrdering"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 453
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "OrderingOnGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetOrderingOnGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdering",
+                    "IsOrderingOnFamilyOfAssocWords",
+                    "Tester(IsOrderingOnFamilyOfAssocWords)"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 453
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(OrderingOnGenerators): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 453
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(OrderingOnGenerators): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 453
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(OrderingOnGenerators)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasOrderingOnGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdering",
+                    "IsOrderingOnFamilyOfAssocWords",
+                    "Tester(IsOrderingOnFamilyOfAssocWords)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 453
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(OrderingOnGenerators)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "LexicographicOrdering"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFamily",
+                    "CategoryFamily((IsWord and IsAssociativeElement))"
+                ],
+                [
+                    "IsList",
+                    "CategoryCollections((IsWord and IsAssociativeElement))"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 492
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "LexicographicOrdering: for a free monoid",
+                    "filters": [
+                        [
+                            "IsFreeMonoid",
+                            "Tester(IsFreeMonoid)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 420
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "LexicographicOrdering: for a free semigroup",
+                    "filters": [
+                        [
+                            "IsFreeSemigroup",
+                            "Tester(IsFreeSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 410
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "LexicographicOrdering: for a family of words of a free semigroup or free monoid",
+                    "filters": [
+                        [
+                            "IsFamily",
+                            "CategoryFamily((IsWord and IsAssociativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 333
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "LexicographicOrdering: for a free monoid and a list of generators",
+                    "filters": [
+                        [
+                            "IsFreeMonoid",
+                            "Tester(IsFreeMonoid)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections((IsWord and IsAssociativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 438
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "LexicographicOrdering: for a free semigroup and a list of generators",
+                    "filters": [
+                        [
+                            "IsFreeSemigroup",
+                            "Tester(IsFreeSemigroup)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections((IsWord and IsAssociativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 429
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "LexicographicOrdering: for a free monoid and a list",
+                    "filters": [
+                        [
+                            "IsFreeMonoid",
+                            "Tester(IsFreeMonoid)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 456
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "LexicographicOrdering: for a free semigroup and a list",
+                    "filters": [
+                        [
+                            "IsFreeSemigroup",
+                            "Tester(IsFreeSemigroup)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 447
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "LexicographicOrdering: for a family of words of a free semigroup or free monoid and a list of generators",
+                    "filters": [
+                        [
+                            "IsFamily",
+                            "CategoryFamily((IsWord and IsAssociativeElement))"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections((IsWord and IsAssociativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 366
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "LexicographicOrdering: for a family of words of a free semigroup or free monoid and a list",
+                    "filters": [
+                        [
+                            "IsFamily",
+                            "CategoryFamily((IsWord and IsAssociativeElement))"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 400
+                    },
+                    "rank": 4
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LexicographicOrdering",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ShortLexOrdering"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFamily",
+                    "CategoryFamily((IsWord and IsAssociativeElement))"
+                ],
+                [
+                    "IsList",
+                    "CategoryCollections((IsWord and IsAssociativeElement))"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 522
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ShortLexOrdering: for a free monoid",
+                    "filters": [
+                        [
+                            "IsFreeMonoid",
+                            "Tester(IsFreeMonoid)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 635
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "ShortLexOrdering: for a free semigroup",
+                    "filters": [
+                        [
+                            "IsFreeSemigroup",
+                            "Tester(IsFreeSemigroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 629
+                    },
+                    "rank": 20
+                },
+                {
+                    "comment": "ShortLexOrdering: for a family of words of a free semigroup or free  monoid",
+                    "filters": [
+                        [
+                            "IsFamily",
+                            "CategoryFamily((IsWord and IsAssociativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 550
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "ShortLexOrdering: for a free monoid and a list of generators in the required order ",
+                    "filters": [
+                        [
+                            "IsFreeMonoid",
+                            "Tester(IsFreeMonoid)"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections((IsWord and IsAssociativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 653
+                    },
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+                },
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+                    "comment": "ShortLexOrdering: for a free semigroup and a list of generators in the required order",
+                    "filters": [
+                        [
+                            "IsFreeSemigroup",
+                            "Tester(IsFreeSemigroup)"
+                        ],
+                        [
+                            "IsList",
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+                        ]
+                    ],
+                    "location": {
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+                        "line": 644
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "ShortLexOrdering: for a free monoid and a list",
+                    "filters": [
+                        [
+                            "IsFreeMonoid",
+                            "Tester(IsFreeMonoid)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 669
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "ShortLexOrdering: for a free semigroup and a list",
+                    "filters": [
+                        [
+                            "IsFreeSemigroup",
+                            "Tester(IsFreeSemigroup)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 661
+                    },
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+                },
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+                    "filters": [
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+                            "CategoryFamily((IsWord and IsAssociativeElement))"
+                        ],
+                        [
+                            "IsList",
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+                    ],
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+                        "line": 587
+                    },
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+                },
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+                    "filters": [
+                        [
+                            "IsFamily",
+                            "CategoryFamily((IsWord and IsAssociativeElement))"
+                        ],
+                        [
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+                        ]
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+                        "line": 622
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
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+                    "IsOrderingOnFamilyOfAssocWords",
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+                "line": 552
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsShortLexOrdering)"
+                        ]
+                    ],
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+                        "line": 552
+                    },
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+                },
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+                    "filters": [
+                        [
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+                        ]
+                    ],
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+            "5args": [],
+            "6args": []
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+                "line": 552
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+                    "filters": [
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+                    "filters": [
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+                    ],
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+            "5args": [],
+            "6args": []
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+    },
+    {
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+                    "IsOrderingOnFamilyOfAssocWords",
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+            ]
+        ],
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+                "line": 552
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
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+                ],
+                [
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+                ],
+                [
+                    "IsList"
+                ]
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+                    "filters": [
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+                            "IsFreeMonoid",
+                            "Tester(IsFreeMonoid)"
+                        ],
+                        [
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+                        ],
+                        [
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+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
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+                    "location": {
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+                        "line": 878
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+                    "filters": [
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+                            "IsFamily",
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+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections((IsWord and IsAssociativeElement))"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 819
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+                    "filters": [
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+                        ],
+                        [
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+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
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+                        "line": 851
+                    },
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+                }
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+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
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+                    "IsOrderingOnFamilyOfAssocWords",
+                    "Tester(IsOrderingOnFamilyOfAssocWords)"
+                ]
+            ]
+        ],
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+                "line": 632
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+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(WeightOfGenerators)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 632
+                    },
+                    "rank": 20006
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsOrdering"
+                        ]
+                    ],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+                    "IsOrderingOnFamilyOfAssocWords",
+                    "Tester(IsOrderingOnFamilyOfAssocWords)"
+                ],
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+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
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+                        "line": 632
+                    },
+                    "rank": 2
+                },
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+                        []
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+                    "location": {
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "IsOrderingOnFamilyOfAssocWords",
+                    "Tester(IsOrderingOnFamilyOfAssocWords)"
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+        ],
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+                "line": 632
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "IsOrderingOnFamilyOfAssocWords",
+                    "Tester(IsOrderingOnFamilyOfAssocWords)"
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+        ],
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+                "line": 650
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsWeightLexOrdering)"
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+                    ],
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+                    },
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+                },
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+                        [
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+                    "Tester(IsOrderingOnFamilyOfAssocWords)"
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+                ]
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+                "line": 650
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+                    "filters": [
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+                    "filters": [
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+                        []
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+                        "line": 650
+                    },
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
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+            [
+                [
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+                    "IsOrderingOnFamilyOfAssocWords",
+                    "Tester(IsOrderingOnFamilyOfAssocWords)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 650
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "Tester(IsWeightLexOrdering)",
+        "type": "GAP_Operation"
+    },
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+        "aka": [
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+        ],
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+                [
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+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
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+                "line": 678
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+                    "filters": [
+                        [
+                            "IsFreeMonoid",
+                            "Tester(IsFreeMonoid)"
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+                    "location": {
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+                        "line": 1204
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+                    "filters": [
+                        [
+                            "IsFreeSemigroup",
+                            "Tester(IsFreeSemigroup)"
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+                    "location": {
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+                        "line": 1197
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+                            "IsFamily",
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+                            "Tester(IsFreeMonoid)"
+                        ],
+                        [
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+                            "Tester(IsFreeSemigroup)"
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+                        [
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+                            "Tester(IsFreeMonoid)"
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+                        [
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+                    "filters": [
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+                        [
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+            "5args": [],
+            "6args": []
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsBasicWreathProductOrdering",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIsBasicWreathProductOrdering"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdering"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 705
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsBasicWreathProductOrdering): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 705
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsBasicWreathProductOrdering): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 705
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsBasicWreathProductOrdering)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsOrdering"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 705
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsBasicWreathProductOrdering)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "WreathProductOrdering"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFamily"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 749
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "WreathProductOrdering: for a free monoid",
+                    "filters": [
+                        [
+                            "IsFreeMonoid",
+                            "Tester(IsFreeMonoid)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 1560
+                    },
+                    "rank": 28
+                },
+                {
+                    "comment": "WreathProductOrdering: for a free semigroup",
+                    "filters": [
+                        [
+                            "IsFreeSemigroup",
+                            "Tester(IsFreeSemigroup)"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 1553
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "WreathProductOrdering: for a family of words of a free semigroup or free monoid and a list",
+                    "filters": [
+                        [
+                            "IsFamily",
+                            "CategoryFamily((IsWord and IsAssociativeElement))"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 1310
+                    },
+                    "rank": 4
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "WreathProductOrdering: for a free monoid and a list",
+                    "filters": [
+                        [
+                            "IsFreeMonoid",
+                            "Tester(IsFreeMonoid)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 1574
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "WreathProductOrdering: for a free monoid and a list",
+                    "filters": [
+                        [
+                            "IsFreeMonoid",
+                            "Tester(IsFreeMonoid)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 1546
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "WreathProductOrdering: for a free semigroup and a list",
+                    "filters": [
+                        [
+                            "IsFreeSemigroup",
+                            "Tester(IsFreeSemigroup)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 1567
+                    },
+                    "rank": 24
+                },
+                {
+                    "comment": "WreathProductOrdering: for a family of associative words, a list of generators and a list with the levels of the generators",
+                    "filters": [
+                        [
+                            "CategoryFamily((IsWord and IsAssociativeElement))"
+                        ],
+                        [
+                            "IsList",
+                            "CategoryCollections((IsWord and IsAssociativeElement))"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 1539
+                    },
+                    "rank": 19
+                },
+                {
+                    "comment": "WreathProductOrdering: for a family of words of a free semigroup or free monoid and a list",
+                    "filters": [
+                        [
+                            "IsFamily",
+                            "CategoryFamily((IsWord and IsAssociativeElement))"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gi",
+                        "line": 1510
+                    },
+                    "rank": 6
+                }
+            ],
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+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsOrdering"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 766
+            }
+        ],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsWreathProductOrdering)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 766
+                    },
+                    "rank": 20004
+                }
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsWreathProductOrdering",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdering"
+                ],
+                [
+                    "IsBool"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 766
+            }
+        ],
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+            "1args": [],
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+                {
+                    "comment": "Setter(IsWreathProductOrdering): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 766
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsWreathProductOrdering): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 766
+                    },
+                    "rank": 0
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsWreathProductOrdering)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsOrdering"
+                ]
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+        ],
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+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 766
+            }
+        ],
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
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+            [
+                [
+                    "IsOrdering",
+                    "IsWreathProductOrdering",
+                    "Tester(IsWreathProductOrdering)"
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+            ]
+        ],
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+                "line": 798
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(LevelsOfGenerators)"
+                        ]
+                    ],
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+                        "line": 798
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsOrdering"
+                        ]
+                    ],
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+                        "line": 798
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
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+    {
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+                [
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+                    "IsWreathProductOrdering",
+                    "Tester(IsWreathProductOrdering)"
+                ],
+                []
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 798
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+        ],
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(LevelsOfGenerators): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
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+                        "line": 798
+                    },
+                    "rank": 2
+                },
+                {
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+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/orders.gd",
+                        "line": 798
+                    },
+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(LevelsOfGenerators)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+            [
+                [
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+                    "IsWreathProductOrdering",
+                    "Tester(IsWreathProductOrdering)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/orders.gd",
+                "line": 798
+            }
+        ],
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "Tester(LevelsOfGenerators)",
+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+                [
+                    "IsList"
+                ]
+            ],
+            [
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ]
+            ],
+            [
+                [
+                    "IsList"
+                ],
+                [
+                    "IsFunction"
+                ]
+            ]
+        ],
+        "locations": [
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+                "line": 23
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/trans.gd",
+                "line": 24
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/trans.gd",
+                "line": 27
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+        ],
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+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 115
+                    },
+                    "rank": 2
+                }
+            ],
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+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 130
+                    },
+                    "rank": 4
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsFunction"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 136
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+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
+    {
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+            [
+                [
+                    "IsList"
+                ],
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/trans.gd",
+                "line": 25
+            }
+        ],
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+            "1args": [],
+            "2args": [
+                {
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+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 127
+                    },
+                    "rank": 4
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
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+                "line": 26
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+        ],
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+            "1args": [
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+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 104
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+                    "rank": 2
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
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+            [
+                [
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+                    "CategoryCollections(IsCyclotomic)"
+                ],
+                [
+                    "IsDenseList",
+                    "CategoryCollections(IsCyclotomic)"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/trans.gd",
+                "line": 31
+            }
+        ],
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+            "1args": [],
+            "2args": [
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+                    "filters": [
+                        [
+                            "IsDenseList",
+                            "CategoryCollections(IsCyclotomic)"
+                        ],
+                        [
+                            "IsDenseList",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/trans.gi",
+                        "line": 504
+                    },
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+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
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+        "aka": [
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+        "filters": [
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+                [
+                    "IsTransformation"
+                ],
+                [
+                    "IsZeroCyc"
+                ]
+            ],
+            [
+                [
+                    "IsTransformation"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ],
+            [
+                [
+                    "IsTransformation"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/trans.gd",
+                "line": 33
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/trans.gd",
+                "line": 34
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/trans.gd",
+                "line": 35
+            }
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+                    "filters": [
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+                    ],
+                    "location": {
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+                        "line": 21
+                    },
+                    "rank": 7
+                }
+            ],
+            "2args": [
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+                    "filters": [
+                        [
+                            "IsTransformation"
+                        ],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 28
+                    },
+                    "rank": 28
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsTransformation"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
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+                        "line": 45
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+                    "rank": 26
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "NumberTransformation",
+        "type": "GAP_Operation"
+    },
+    {
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+                    "IsPosRat"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
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+            [
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsZeroCyc"
+                ]
+            ]
+        ],
+        "locations": [
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+                "line": 36
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/trans.gd",
+                "line": 37
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
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+                    "filters": [
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/trans.gi",
+                        "line": 77
+                    },
+                    "rank": 40
+                },
+                {
+                    "comment": "TransformationNumber: for a positive integer and positive integer",
+                    "filters": [
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 66
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+                            "IsAttributeStoringRep",
+                            "Tester(IsFpMonoidReducedElt)"
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+                            "IsMagma",
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+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                            "IsAttributeStoringRep",
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+                            "Tester(IsAssociative)"
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+                            "Tester(IsAssociative)"
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+                            "CategoryCollections(IsTransformation)",
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+            "3args": [],
+            "4args": [],
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+            "5args": [],
+            "6args": []
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsomorphismTransformationSemigroup)"
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+                        "line": 27
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+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "Tester(GeneratorsOfMagmaWithInverses)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
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+                        "line": 314
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+                    "filters": [
+                        [
+                            "CategoryCollections(IsPartialPerm)",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    ],
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+                        [
+                            "CategoryCollections(IsTransformation)",
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                            "CategoryCollections(IsGeneralMapping)",
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        "line": 169
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+                            "IsWholeFamily",
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+                            "IsAssociative",
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+                            "CategoryCollections(IsElementOfFpSemigroup)"
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+                    "filters": [
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+                            "IsAssociative",
+                            "Tester(IsAssociative)",
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+                        "line": 366
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
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+                            "Tester(MultiplicativeNeutralElement)"
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                            "Tester(IsAssociative)",
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+            [
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+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsRectangularTable",
+                    "Tester(IsRectangularTable)"
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+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
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+                            "Tester(IsRectangularTable)"
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "Tester(IsAssociative)"
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+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        [
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+            "6args": []
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+        "type": "GAP_Operation"
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+                [
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsReesMatrixSemigroupElement)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
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+                    "Tester(IsAssociative)"
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+                [
+                    "IsList"
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsReesMatrixSemigroupElement)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        [
+                            "IsList"
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+                    "Tester(IsAssociative)"
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsReesZeroMatrixSemigroupElement)"
+                        ],
+                        [
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+                        ],
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        [
+                            "IsList"
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+                    "IsAssociative",
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsReesZeroMatrixSemigroupElement)"
+                        ],
+                        [
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+                        ],
+                        [
+                            "IsMagma",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
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+                    "IsAssociative",
+                    "Tester(IsAssociative)",
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+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "CategoryCollections(IsReesZeroMatrixSemigroupElement)"
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+                    "IsAssociative",
+                    "Tester(IsAssociative)",
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+                    "IsAssociative",
+                    "Tester(IsAssociative)",
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+                    "IsAssociative",
+                    "Tester(IsAssociative)",
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+                            "IsAttributeStoringRep",
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsReesZeroMatrixSemigroupElement)"
+                        ]
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+                    "filters": [
+                        [
+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsReesMatrixSemigroupElement)"
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+                    "filters": [
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+                            "IsMagma",
+                            "CategoryCollections(IsReesMatrixSemigroupElement)"
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+            "6args": []
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+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
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+                    "IsAssociative",
+                    "Tester(IsAssociative)",
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+                    "filters": [
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+                    "IsMagma",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
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+                            "IsAttributeStoringRep",
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+                    "filters": [
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+                            "IsMagma",
+                            "Tester(GeneratorsOfMagma)",
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+                            "Tester(IsAssociative)",
+                            "CategoryCollections(IsReesZeroMatrixSemigroupElement)"
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+                    "filters": [
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+                            "IsAssociative",
+                            "Tester(IsAssociative)",
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+                    "filters": [
+                        [
+                            "IsMagma",
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 499
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(UnderlyingGroup): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 499
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(UnderlyingGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasUnderlyingGroup"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdinaryTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 499
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(UnderlyingGroup)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsOrdinaryTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 589
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "IdentificationOfConjugacyClasses: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IdentificationOfConjugacyClasses)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 589
+                    },
+                    "rank": 20025
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IdentificationOfConjugacyClasses",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetIdentificationOfConjugacyClasses"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdinaryTable"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 589
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IdentificationOfConjugacyClasses): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 589
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IdentificationOfConjugacyClasses): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 589
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IdentificationOfConjugacyClasses)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasIdentificationOfConjugacyClasses"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdinaryTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 589
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IdentificationOfConjugacyClasses)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "CompatibleConjugacyClasses"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsOrdinaryTable"
+                ]
+            ],
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsOrdinaryTable"
+                ],
+                [
+                    "IsRecord"
+                ]
+            ],
+            [
+                [
+                    "IsOrdinaryTable"
+                ]
+            ],
+            [
+                [
+                    "IsOrdinaryTable"
+                ],
+                [
+                    "IsRecord"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 740
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 742
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 743
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 745
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "CompatibleConjugacyClasses: one argument version, call `CompatibleConjugacyClassesDefault'",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 148
+                    },
+                    "rank": 22
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "CompatibleConjugacyClasses: two argument version, call `CompatibleConjugacyClassesDefault'",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 155
+                    },
+                    "rank": 23
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "CompatibleConjugacyClasses: three argument version, call `CompatibleConjugacyClassesDefault'",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsOrdinaryTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 131
+                    },
+                    "rank": 59
+                }
+            ],
+            "4args": [
+                {
+                    "aka": [
+                        "CompatibleConjugacyClassesDefault"
+                    ],
+                    "comment": "CompatibleConjugacyClasses: four argument version, call `CompatibleConjugacyClassesDefault'",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 136
+                    },
+                    "rank": 60
+                }
+            ],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CompatibleConjugacyClasses",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ],
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt"
+                ]
+            ],
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 874
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 875
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "CharacterDegrees: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(CharacterDegrees)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 874
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "CharacterDegrees: handled by nice monomorphism: Attribute",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 720
+                    },
+                    "rank": 370
+                },
+                {
+                    "comment": "CharacterDegrees: for a group (call the two-argument version)",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 665
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "CharacterDegrees: for a character table",
+                    "filters": [
+                        [
+                            "IsCharacterTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 713
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "CharacterDegrees: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 874
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "CharacterDegrees: for an abelian group, and an integer p (just strip off the p-part)",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblsolv.gi",
+                        "line": 32
+                    },
+                    "rank": 82
+                },
+                {
+                    "comment": "CharacterDegrees: for a solvable group and an integer (Conlon's algorithm)",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsSolvableGroup",
+                            "Tester(IsSolvableGroup)"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblsolv.gi",
+                        "line": 494
+                    },
+                    "rank": 76
+                },
+                {
+                    "comment": "CharacterDegrees: for a group, and zero",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 681
+                    },
+                    "rank": 56
+                },
+                {
+                    "comment": "CharacterDegrees: for a group, and positive integer",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 692
+                    },
+                    "rank": 54
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "CharacterDegrees",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetCharacterDegrees"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ],
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 874
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(CharacterDegrees): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 874
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(CharacterDegrees): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 874
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(CharacterDegrees)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasCharacterDegrees"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 874
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(CharacterDegrees)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ],
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsInt"
+                ]
+            ],
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 968
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 969
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "Irr: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(Irr)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 968
+                    },
+                    "rank": 20037
+                },
+                {
+                    "comment": "Irr: for a group (call the two-argument version)",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 790
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "Irr: for an ord. char. table with known group (delegate to the group)",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable",
+                            "Tester(UnderlyingGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 934
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "Irr: for a <p>-solvable Brauer table (use the Fong-Swan Theorem)",
+                    "filters": [
+                        [
+                            "IsBrauerTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 907
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "Irr: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 968
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "Irr: partial method for a group, and zero",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 814
+                    },
+                    "rank": 10056
+                },
+                {
+                    "comment": "Irr: via niceomorphism",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsHandledByNiceMonomorphism",
+                            "Tester(IsHandledByNiceMonomorphism)"
+                        ],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblgrp.gi",
+                        "line": 2246
+                    },
+                    "rank": 391
+                },
+                {
+                    "comment": "Irr: ordinary characters for natural symmetric group",
+                    "filters": [
+                        [
+                            "IsNaturalSymmetricGroup",
+                            "Tester(IsNaturalSymmetricGroup)"
+                        ],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblsymm.gi",
+                        "line": 1272
+                    },
+                    "rank": 83
+                },
+                {
+                    "comment": "Irr: for a supersolvable group with known `IrrBaumClausen'",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsSupersolvableGroup",
+                            "Tester(IsSupersolvableGroup)",
+                            "Tester(IrrBaumClausen)"
+                        ],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblsolv.gi",
+                        "line": 844
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "Irr: for a supersolvable group with known `IrrConlon'",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsSupersolvableGroup",
+                            "Tester(IsSupersolvableGroup)",
+                            "Tester(IrrConlon)"
+                        ],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblsolv.gi",
+                        "line": 819
+                    },
+                    "rank": 61
+                },
+                {
+                    "comment": "Irr: for a supersolvable group (Baum-Clausen algorithm)",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsSupersolvableGroup",
+                            "Tester(IsSupersolvableGroup)"
+                        ],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblsolv.gi",
+                        "line": 834
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "Irr: for a supersolvable group (Conlon's algorithm)",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsSupersolvableGroup",
+                            "Tester(IsSupersolvableGroup)"
+                        ],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblsolv.gi",
+                        "line": 809
+                    },
+                    "rank": 60
+                },
+                {
+                    "comment": "Irr: Dixon/Schneider",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblgrp.gi",
+                        "line": 2195
+                    },
+                    "rank": 56
+                },
+                {
+                    "comment": "Irr: for a group, and a prime",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 826
+                    },
+                    "rank": 54
+                }
+            ],
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+            "6args": []
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+                            "IsAttributeStoringRep",
+                            "Tester(IsNilpotentCharacterTable)"
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+                        "line": 1230
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+                {
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+            "5args": [],
+            "6args": []
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+                        "line": 1230
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+                },
+                {
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+                    "filters": [
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                            "IsAttributeStoringRep",
+                            "Tester(IsPerfectCharacterTable)"
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+            "5args": [],
+            "6args": []
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+            "6args": []
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+        "type": "GAP_Operation"
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+                            "Tester(IsSimpleCharacterTable)"
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+            "5args": [],
+            "6args": []
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+                            "IsAttributeStoringRep",
+                            "Tester(IsSolvableCharacterTable)"
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+            "5args": [],
+            "6args": []
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+                        "line": 1233
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+            "6args": []
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+            "6args": []
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+                "line": 1235
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+                    "filters": [
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+                            "IsAttributeStoringRep",
+                            "Tester(IsSporadicSimpleCharacterTable)"
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+                        "line": 1235
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                "line": 1235
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
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+                        "line": 1235
+                    },
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+                },
+                {
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+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
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+                        "line": 1235
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "Setter(IsSporadicSimpleCharacterTable)",
+        "type": "GAP_Operation"
+    },
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+            [
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+                "line": 1235
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "IsNearlyCharacterTable"
+                ]
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+                "line": 1237
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+                    "filters": [
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+                            "IsAttributeStoringRep",
+                            "Tester(IsSupersolvableCharacterTable)"
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+                },
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+                    "comment": "IsSupersolvableCharacterTable: for an ordinary character table",
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+                "line": 1237
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+                        "line": 1237
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+            "6args": []
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+            "5args": [],
+            "6args": []
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+                "line": 1341
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+                        "line": 1341
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+            "6args": []
+        },
+        "name": "ClassPositionsOfPCore",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ClassPositionsOfNormalClosure"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdinaryTable"
+                ],
+                [
+                    "IsHomogeneousList",
+                    "CategoryCollections(IsCyclotomic)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2224
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "ClassPositionsOfNormalClosure: for an ordinary table",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsHomogeneousList",
+                            "CategoryCollections(IsCyclotomic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 2504
+                    },
+                    "rank": 51
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ClassPositionsOfNormalClosure",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PrimeBlocks"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdinaryTable"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2323
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "PrimeBlocks: for an ordinary table, and a positive integer",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 2748
+                    },
+                    "rank": 41
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PrimeBlocks",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PrimeBlocksOp"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdinaryTable"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2325
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "PrimeBlocksOp: for an ordinary table, and a positive integer",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 2920
+                    },
+                    "rank": 41
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PrimeBlocksOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsOrdinaryTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2328
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ComputedPrimeBlockss: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ComputedPrimeBlockss)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 2328
+                    },
+                    "rank": 20025
+                },
+                {
+                    "comment": "ComputedPrimeBlockss: for an ordinary table",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 2930
+                    },
+                    "rank": 22
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ComputedPrimeBlockss",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetComputedPrimeBlockss"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdinaryTable"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2328
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ComputedPrimeBlockss): system mutable setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 2328
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ComputedPrimeBlockss): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 2328
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ComputedPrimeBlockss)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasComputedPrimeBlockss"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdinaryTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2328
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ComputedPrimeBlockss)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2440
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "BlocksInfo: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(BlocksInfo)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 2440
+                    },
+                    "rank": 20023
+                },
+                {
+                    "comment": "BlocksInfo: generic method for a Brauer character table",
+                    "filters": [
+                        [
+                            "IsBrauerTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 3002
+                    },
+                    "rank": 22
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "BlocksInfo",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetBlocksInfo"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2440
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(BlocksInfo): system mutable setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 2440
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(BlocksInfo): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 2440
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(BlocksInfo)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasBlocksInfo"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2440
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(BlocksInfo)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsBrauerTable"
+                ]
+            ],
+            [
+                [
+                    "IsBrauerTable"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2491
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2492
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "DecompositionMatrix: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(DecompositionMatrix)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 2491
+                    },
+                    "rank": 20025
+                },
+                {
+                    "comment": "DecompositionMatrix: for a Brauer table",
+                    "filters": [
+                        [
+                            "IsBrauerTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 3019
+                    },
+                    "rank": 22
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "DecompositionMatrix: for a Brauer table, and a positive integer",
+                    "filters": [
+                        [
+                            "IsBrauerTable"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 3064
+                    },
+                    "rank": 41
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "DecompositionMatrix",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetDecompositionMatrix"
+        ],
+        "filters": [
+            [
+                [
+                    "IsBrauerTable"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2491
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(DecompositionMatrix): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 2491
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(DecompositionMatrix): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 2491
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(DecompositionMatrix)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasDecompositionMatrix"
+        ],
+        "filters": [
+            [
+                [
+                    "IsBrauerTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2491
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(DecompositionMatrix)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "IsPSolubleCharacterTable",
+            "IsPSolvableCharacterTable"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdinaryTable"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2658
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsPSolvableCharacterTable: for ord. char. table knowing `IsSolvableCharacterTable', and zero",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable",
+                            "Tester(IsSolvableCharacterTable)"
+                        ],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 3711
+                    },
+                    "rank": 44
+                },
+                {
+                    "aka": [
+                        "IsPSolubleCharacterTableOp",
+                        "IsPSolvableCharacterTableOp"
+                    ],
+                    "comment": "IsPSolvableCharacterTable: for ord. char. table, and zero (call `IsPSolvableCharacterTableOp')",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsZeroCyc"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 3704
+                    },
+                    "rank": 43
+                },
+                {
+                    "comment": "IsPSolvableCharacterTable: for ord.char.table, and pos.int. (call `IsPSolvableCharacterTableOp')",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 3733
+                    },
+                    "rank": 41
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsPSolvableCharacterTable",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsOrdinaryTable"
+                ],
+                [
+                    "IsInt"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2660
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "IsPSolvableCharacterTableOp: for an ordinary character table, an an integer",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 3784
+                    },
+                    "rank": 40
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsPSolvableCharacterTableOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsOrdinaryTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2662
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ComputedIsPSolvableCharacterTables: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ComputedIsPSolvableCharacterTables)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 2662
+                    },
+                    "rank": 20025
+                },
+                {
+                    "comment": "ComputedIsPSolvableCharacterTables: for an ordinary character table",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 3794
+                    },
+                    "rank": 22
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ComputedIsPSolvableCharacterTables",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetComputedIsPSolvableCharacterTables"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdinaryTable"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2662
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ComputedIsPSolvableCharacterTables): system mutable setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 2662
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ComputedIsPSolvableCharacterTables): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                        "line": 2662
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ComputedIsPSolvableCharacterTables)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasComputedIsPSolvableCharacterTables"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdinaryTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2662
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ComputedIsPSolvableCharacterTables)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "Indicator"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ],
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ],
+                [
+                    "IsList"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2741
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctbl.gd",
+                "line": 2743
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Indicator: for a character table, and a positive integer",
+                    "filters": [
+                        [
+                            "IsCharacterTable"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 3855
+                    },
+                    "rank": 40
+                }
+            ],
+            "3args": [
+                {
+                    "aka": [
+                        "IndicatorOp"
+                    ],
+                    "comment": "Indicator: for a character table, a homogeneous list, and a positive integer",
+                    "filters": [
+                        [
+                            "IsCharacterTable"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctbl.gi",
+                        "line": 3865
+                    },
+                    "rank": 44
+                }
+            ],
+            "4args": [],
+            "5args": [],
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+                    "IsList"
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+                    "IsPosRat"
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+                            "IsBrauerTable"
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+                        [
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+                        [
+                            "IsInt",
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+                            "IsOrdinaryTable"
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+                        [
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+                        [
+                            "IsInt",
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+                            "IsAttributeStoringRep",
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+                            "IsMagmaWithInverses",
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+                            "IsAssociative",
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+                        [
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+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                            "IsAttributeStoringRep",
+                            "Tester(ComputedBrauerTables)"
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+            "6args": []
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+            "6args": []
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+                            "IsAttributeStoringRep",
+                            "Tester(DisplayOptions)"
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+                        "line": 975
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+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(TrivialCharacter): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gd",
+                        "line": 975
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+                    "rank": 0
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
+    },
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+        "aka": [
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+            [
+                [
+                    "IsNearlyCharacterTable"
+                ]
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+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctblfuns.gd",
+                "line": 975
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+            "5args": [],
+            "6args": []
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+        "name": "Tester(TrivialCharacter)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ],
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/ctblfuns.gd",
+                "line": 1024
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NaturalCharacter)"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gd",
+                        "line": 1024
+                    },
+                    "rank": 20037
+                },
+                {
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+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 1337
+                    },
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+                },
+                {
+                    "comment": "NaturalCharacter: for a matrix group in characteristic zero",
+                    "filters": [
+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    ],
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+                    "filters": [
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+                    ],
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+                        "line": 1396
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+                },
+                {
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+                    "filters": [
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+            "3args": [],
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+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
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+        "aka": [
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+            "6args": []
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+                    "Tester(IsAssociative)"
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+                "line": 1024
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+                    "Tester(IsAssociative)"
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+                ],
+                [
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+            [
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+                    "Tester(IsAssociative)"
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+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                "file": "/home/makx/ac/gap/lib/ctblfuns.gd",
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
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+                        [
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                            "IsVirtualCharacter",
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+                    "filters": [
+                        [
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+                        ],
+                        [
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+                    "filters": [
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+                        [
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+            "6args": []
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+                        "line": 1122
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+                            "Tester(IsVirtualCharacter)"
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+                    "filters": [
+                        [
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+                        ],
+                        [
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                [
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+                    "filters": [
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+        "type": "GAP_Operation"
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+                [
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+                    "filters": [
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+                            "IsAttributeStoringRep",
+                            "Tester(IsIrreducibleCharacter)"
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+                    "filters": [
+                        [
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+                        [
+                            "IsHomogeneousList"
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+                {
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+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
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+                        [
+                            "IsHomogeneousList"
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+                [
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+                "line": 1195
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+            "6args": []
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+                [
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+                [
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+                        ],
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+                        [
+                            "IsList"
+                        ],
+                        [
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+                [],
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+                    "filters": [
+                        [
+                            "IsNearlyCharacterTable"
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+                        [
+                            "IsNearlyCharacterTable"
+                        ],
+                        [
+                            "IsHomogeneousList"
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+                    ],
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+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 3034
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+                    "rank": 44
+                },
+                {
+                    "comment": "Induced",
+                    "filters": [
+                        [
+                            "IsCharacterTable"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsGeneralMapping",
+                            "IsTotal",
+                            "Tester(IsTotal)",
+                            "IsSingleValued",
+                            "Tester(IsSingleValued)",
+                            "RespectsMultiplication",
+                            "Tester(RespectsMultiplication)",
+                            "RespectsInverses",
+                            "Tester(RespectsInverses)"
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+                    ],
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+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
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+                        [
+                            "IsNearlyCharacterTable"
+                        ],
+                        [
+                            "IsNearlyCharacterTable"
+                        ],
+                        [
+                            "IsHomogeneousList"
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+                        [
+                            "IsHomogeneousList",
+                            "CategoryCollections(IsCyclotomic)"
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+                    ],
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+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
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+                },
+                {
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+                    "filters": [
+                        [
+                            "IsNearlyCharacterTable"
+                        ],
+                        [
+                            "IsNearlyCharacterTable"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ],
+                        [
+                            "IsString"
+                        ]
+                    ],
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+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
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+            "6args": []
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+                [
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+                [
+                    "IsOrdinaryTable"
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+            [
+                [
+                    "IsOrdinaryTable"
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+                [
+                    "IsList"
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+                [
+                    "IsString"
+                ]
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+        ],
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+            {
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+            {
+                "file": "/home/makx/ac/gap/lib/ctblfuns.gd",
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+                "file": "/home/makx/ac/gap/lib/ctblfuns.gd",
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+            }
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+                        [
+                            "IsOrdinaryTable"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblfuns.gi",
+                        "line": 3062
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+            ],
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+                {
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+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsString"
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+                    ],
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+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
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+                        [
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+                    ],
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+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsHomogeneousList"
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+                        [
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+                [
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+                    "IsHomogeneousList"
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+                        [
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+                            "IsOrdinaryTable"
+                        ],
+                        [
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+                        [
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+                        [
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+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
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+                        [
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+            [
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+                        [
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+                        [
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+                        [
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+                    "filters": [
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+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ],
+                        [
+                            "IsInt",
+                            "IsNegRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gi",
+                        "line": 196
+                    },
+                    "rank": 40
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "PowerMapOp: for Brauer table, integer, positive integer",
+                    "filters": [
+                        [
+                            "IsBrauerTable"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gi",
+                        "line": 243
+                    },
+                    "rank": 59
+                },
+                {
+                    "comment": "PowerMapOp: for ordinary table, integer, positive integer",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsInt"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gi",
+                        "line": 184
+                    },
+                    "rank": 59
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PowerMapOp",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 181
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ComputedPowerMaps: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ComputedPowerMaps)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                        "line": 181
+                    },
+                    "rank": 20023
+                },
+                {
+                    "comment": "ComputedPowerMaps: for a nearly character table",
+                    "filters": [
+                        [
+                            "IsNearlyCharacterTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gi",
+                        "line": 253
+                    },
+                    "rank": 20
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ComputedPowerMaps",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetComputedPowerMaps"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 181
+            }
+        ],
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+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ComputedPowerMaps): system mutable setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                        "line": 181
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(ComputedPowerMaps): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                        "line": 181
+                    },
+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ComputedPowerMaps)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasComputedPowerMaps"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 181
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ComputedPowerMaps)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PossiblePowerMaps"
+        ],
+        "filters": [
+            [
+                [
+                    "IsCharacterTable"
+                ],
+                [
+                    "IsInt"
+                ]
+            ],
+            [
+                [
+                    "IsCharacterTable"
+                ],
+                [
+                    "IsInt"
+                ],
+                [
+                    "IsRecord"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 318
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 320
+            }
+        ],
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+            "1args": [],
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+                {
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+                    "filters": [
+                        [
+                            "IsBrauerTable"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gi",
+                        "line": 481
+                    },
+                    "rank": 41
+                },
+                {
+                    "comment": "PossiblePowerMaps: for an ordinary character table and a prime (add empty options record)",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gi",
+                        "line": 265
+                    },
+                    "rank": 41
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "PossiblePowerMaps: for a Brauer character table, a prime, and a record",
+                    "filters": [
+                        [
+                            "IsBrauerTable"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gi",
+                        "line": 515
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+                    "rank": 42
+                },
+                {
+                    "comment": "PossiblePowerMaps: for an ordinary character table, a prime, and a record",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gi",
+                        "line": 460
+                    },
+                    "rank": 42
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PossiblePowerMaps",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "FusionConjugacyClasses"
+        ],
+        "filters": [
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ],
+                [
+                    "IsNearlyCharacterTable"
+                ]
+            ],
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ],
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ],
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsNearlyCharacterTable"
+                ],
+                [
+                    "IsNearlyCharacterTable"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 654
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 655
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 656
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 658
+            }
+        ],
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+                    "comment": "FusionConjugacyClasses: for a group homomorphism",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gi",
+                        "line": 726
+                    },
+                    "rank": 7
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "FusionConjugacyClasses: for two groups",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gi",
+                        "line": 721
+                    },
+                    "rank": 70
+                },
+                {
+                    "comment": "FusionConjugacyClasses: for two nearly character tables",
+                    "filters": [
+                        [
+                            "IsNearlyCharacterTable"
+                        ],
+                        [
+                            "IsNearlyCharacterTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gi",
+                        "line": 752
+                    },
+                    "rank": 40
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "FusionConjugacyClasses: for a group homomorphism, and two nearly character tables",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsNearlyCharacterTable"
+                        ],
+                        [
+                            "IsNearlyCharacterTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gi",
+                        "line": 726
+                    },
+                    "rank": 47
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "FusionConjugacyClasses",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ],
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ],
+                [
+                    "IsNearlyCharacterTable"
+                ]
+            ],
+            [
+                [
+                    "IsGeneralMapping"
+                ],
+                [
+                    "IsNearlyCharacterTable"
+                ],
+                [
+                    "IsNearlyCharacterTable"
+                ]
+            ]
+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 660
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 663
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 665
+            }
+        ],
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+                    "comment": "FusionConjugacyClassesOp: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(FusionConjugacyClassesOp)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                        "line": 660
+                    },
+                    "rank": 20010
+                },
+                {
+                    "comment": "FusionConjugacyClassesOp: for a group homomorphism",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gi",
+                        "line": 788
+                    },
+                    "rank": 7
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "FusionConjugacyClassesOp: for two ordinary tables with groups",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable",
+                            "Tester(UnderlyingGroup)"
+                        ],
+                        [
+                            "IsOrdinaryTable",
+                            "Tester(UnderlyingGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gi",
+                        "line": 871
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "FusionConjugacyClassesOp: for two Brauer tables",
+                    "filters": [
+                        [
+                            "IsBrauerTable"
+                        ],
+                        [
+                            "IsBrauerTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gi",
+                        "line": 975
+                    },
+                    "rank": 44
+                },
+                {
+                    "comment": "FusionConjugacyClassesOp: for two ordinary tables",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsOrdinaryTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gi",
+                        "line": 932
+                    },
+                    "rank": 44
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "FusionConjugacyClassesOp: for a group homomorphism, and two character tables",
+                    "filters": [
+                        [
+                            "IsGeneralMapping"
+                        ],
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsOrdinaryTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gi",
+                        "line": 824
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+            ],
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+    {
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+        "filters": [
+            [
+                [
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+                ],
+                []
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+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 660
+            }
+        ],
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+            "1args": [],
+            "2args": [
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+                    "comment": "Setter(FusionConjugacyClassesOp): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                        "line": 660
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(FusionConjugacyClassesOp): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                        "line": 660
+                    },
+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsGeneralMapping"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 660
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ]
+            ]
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+            {
+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 736
+            }
+        ],
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+            "1args": [
+                {
+                    "comment": "ComputedClassFusions: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ComputedClassFusions)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                        "line": 736
+                    },
+                    "rank": 20023
+                },
+                {
+                    "comment": "ComputedClassFusions: for a nearly character table",
+                    "filters": [
+                        [
+                            "IsNearlyCharacterTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gi",
+                        "line": 989
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ],
+                []
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+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 736
+            }
+        ],
+        "methods": {
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(ComputedClassFusions): system mutable setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                        "line": 736
+                    },
+                    "rank": 2
+                },
+                {
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+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                        "line": 736
+                    },
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+        "filters": [
+            [
+                [
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+                ]
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+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 736
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+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(ComputedClassFusions)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ]
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+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 854
+            }
+        ],
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+            "1args": [
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+                    "comment": "NamesOfFusionSources: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NamesOfFusionSources)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                        "line": 854
+                    },
+                    "rank": 20023
+                },
+                {
+                    "comment": "NamesOfFusionSources: for a nearly character table",
+                    "filters": [
+                        [
+                            "IsNearlyCharacterTable"
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+                    ],
+                    "location": {
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+                        "line": 1150
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        ],
+        "filters": [
+            [
+                [
+                    "IsNearlyCharacterTable"
+                ],
+                []
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+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                "line": 854
+            }
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+            "1args": [],
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                        "file": "/home/makx/ac/gap/lib/ctblmaps.gd",
+                        "line": 854
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(NamesOfFusionSources): default method, does nothing",
+                    "filters": [
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+                        []
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+                    "location": {
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+                        "line": 854
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+                [
+                    "IsNearlyCharacterTable"
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+                    "IsNearlyCharacterTable"
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+                    "IsNearlyCharacterTable"
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+                    "IsRecord"
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+                        [
+                            "IsBrauerTable"
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+                    ],
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+                        [
+                            "IsNearlyCharacterTable"
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+                            "IsNearlyCharacterTable"
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+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
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+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
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+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
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+                        ],
+                        [
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
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+            "5args": [],
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+            [
+                [
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+                [
+                    "IsList"
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+                    "IsList"
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+                        ],
+                        [
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+                            "IsCharacterTable"
+                        ],
+                        [
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+                        ],
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                            "IsCharacterTable"
+                        ],
+                        [
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+                        ],
+                        [
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+            "5args": [],
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+                    "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
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+                    "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
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+            ]
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+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ],
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
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+                    "IsNearlyCharacterTable"
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+                            "IsCharacterTable"
+                        ],
+                        [
+                            "IsCharacterTable"
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+                    "Tester(IsAssociative)"
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+                            "IsAttributeStoringRep",
+                            "Tester(BaumClausenInfo)"
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+                    ],
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    ],
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+                },
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+                    ],
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                []
+            ]
+        ],
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+                "file": "/home/makx/ac/gap/lib/ctblsolv.gd",
+                "line": 120
+            }
+        ],
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+                {
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+                    ],
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+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                [
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+            }
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+            "6args": []
+        },
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+    },
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+            [
+                [
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+                    "Tester(IsFinite)",
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+            ],
+            [
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+                    "IsFinite",
+                    "Tester(IsFinite)",
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                [
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+                    "Tester(IsNonTrivial)",
+                    "IsExtLSet",
+                    "IsAssociativeLOpDProd",
+                    "IsAssociativeLOpEProd",
+                    "IsDistributiveLOpDSum",
+                    "IsDistributiveLOpESum",
+                    "IsTrivialLOpEOne",
+                    "IsLeftActedOnByRing",
+                    "IsLeftActedOnByDivisionRing",
+                    "Tester(IsLeftActedOnByDivisionRing)",
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+                    "IsMagmaWithOne",
+                    "IsMagmaWithInversesIfNonzero",
+                    "IsAssociative",
+                    "Tester(IsAssociative)",
+                    "IsCommutative",
+                    "Tester(IsCommutative)",
+                    "IsNearAdditiveMagma",
+                    "IsNearAdditiveGroup",
+                    "IsAdditivelyCommutative",
+                    "Tester(IsAdditivelyCommutative)",
+                    "IsLDistributive",
+                    "Tester(IsLDistributive)",
+                    "IsRDistributive",
+                    "Tester(IsRDistributive)",
+                    "IsEuclideanRing"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/ctblsolv.gd",
+                "line": 192
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/ctblsolv.gd",
+                "line": 194
+            }
+        ],
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+                {
+                    "comment": "IrreducibleRepresentations: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IrreducibleRepresentations)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblsolv.gd",
+                        "line": 192
+                    },
+                    "rank": 20046
+                },
+                {
+                    "comment": "IrreducibleRepresentations: (abelian by supersolvable) finite group",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblsolv.gi",
+                        "line": 1982
+                    },
+                    "rank": 45
+                },
+                {
+                    "aka": [
+                        "IrreducibleRepresentationsDixon"
+                    ],
+                    "comment": "IrreducibleRepresentations: Dixon's method",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblgrp.gi",
+                        "line": 2500
+                    },
+                    "rank": 44
+                },
+                {
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+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 192
+                    },
+                    "rank": 0
+                }
+            ],
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+                {
+                    "comment": "IrreducibleRepresentations: finite group, Cyclotomics",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
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+                            "Tester(IsNonTrivial)",
+                            "CategoryCollections(IsCyclotomic)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblsolv.gi",
+                        "line": 1998
+                    },
+                    "rank": 104
+                },
+                {
+                    "comment": "IrreducibleRepresentations: for a finite group over a finite field",
+                    "filters": [
+                        [
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                        [
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+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/ctblsolv.gi",
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+                    },
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+                }
+            ],
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+            "5args": [],
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+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+                [
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+                    "Tester(IsFinite)",
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+                    "IsAssociative",
+                    "Tester(IsAssociative)"
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+                            "Tester(LatticeSubgroups)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 325
+                    },
+                    "rank": 46
+                },
+                {
+                    "comment": "TableOfMarks: for a cyclic group",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCyclic",
+                            "Tester(IsCyclic)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 129
+                    },
+                    "rank": 45
+                },
+                {
+                    "comment": "TableOfMarks: for solvable groups (call `LatticeSubgroups' and use the lattice)",
+                    "filters": [
+                        [
+                            "IsSolvableGroup",
+                            "Tester(IsSolvableGroup)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 325
+                    },
+                    "rank": 37
+                },
+                {
+                    "comment": "TableOfMarks: cyclic extension method",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 850
+                    },
+                    "rank": 35
+                },
+                {
+                    "comment": "TableOfMarks: for a matrix or a lower triangular matrix",
+                    "filters": [
+                        [
+                            "IsTable"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 917
+                    },
+                    "rank": 6
+                },
+                {
+                    "comment": "TableOfMarks: for a string (dispatch to `TableOfMarksFromLibrary')",
+                    "filters": [
+                        [
+                            "IsString"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 942
+                    },
+                    "rank": 5
+                },
+                {
+                    "comment": "TableOfMarks: default method requiring categories and checking properties",
+                    "filters": [
+                        [
+                            "IsMagmaWithInverses"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 333
+                    },
+                    "rank": 0
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "TableOfMarks",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetTableOfMarks"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ],
+                []
+            ],
+            [
+                [
+                    "IsString"
+                ],
+                []
+            ],
+            [
+                [
+                    "IsTable"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 333
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(TableOfMarks): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 333
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(TableOfMarks): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 333
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(TableOfMarks)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasTableOfMarks"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMagmaWithInverses",
+                    "IsAssociative",
+                    "Tester(IsAssociative)"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 333
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(TableOfMarks)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SortedTom"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ],
+                [
+                    "IsPerm"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 571
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "SortedTom",
+                    "filters": [
+                        [
+                            "IsTableOfMarks"
+                        ],
+                        [
+                            "IsPerm"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 1192
+                    },
+                    "rank": 9
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SortedTom",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 614
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "PermutationTom: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(PermutationTom)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 614
+                    },
+                    "rank": 20004
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PermutationTom",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetPermutationTom"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 614
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(PermutationTom): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 614
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(PermutationTom): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 614
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(PermutationTom)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasPermutationTom"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 614
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(PermutationTom)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 734
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "MarksTom: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(MarksTom)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 734
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "MarksTom: for a table of marks with known `NrSubsTom' and `OrdersTom'",
+                    "filters": [
+                        [
+                            "IsTableOfMarks",
+                            "Tester(NrSubsTom)",
+                            "Tester(OrdersTom)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 1264
+                    },
+                    "rank": 3
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "MarksTom",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetMarksTom"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 734
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(MarksTom): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 734
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(MarksTom): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 734
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(MarksTom)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasMarksTom"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 734
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(MarksTom)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 735
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "SubsTom: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(SubsTom)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 735
+                    },
+                    "rank": 20004
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "SubsTom",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetSubsTom"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 735
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(SubsTom): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 735
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(SubsTom): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 735
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(SubsTom)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasSubsTom"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 735
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(SubsTom)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 776
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "NrSubsTom: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(NrSubsTom)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 776
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "NrSubsTom: for a table of marks",
+                    "filters": [
+                        [
+                            "IsTableOfMarks"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 1300
+                    },
+                    "rank": 1
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "NrSubsTom",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetNrSubsTom"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 776
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(NrSubsTom): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 776
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(NrSubsTom): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 776
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(NrSubsTom)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasNrSubsTom"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 776
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(NrSubsTom)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 777
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "OrdersTom: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(OrdersTom)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 777
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "OrdersTom: for a table of marks",
+                    "filters": [
+                        [
+                            "IsTableOfMarks"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 1316
+                    },
+                    "rank": 1
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "OrdersTom",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetOrdersTom"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 777
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(OrdersTom): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 777
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(OrdersTom): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 777
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(OrdersTom)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasOrdersTom"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 777
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(OrdersTom)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 801
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "LengthsTom: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(LengthsTom)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 801
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "LengthsTom: for a table of marks",
+                    "filters": [
+                        [
+                            "IsTableOfMarks"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 1330
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+                            "IsTableOfMarks"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 1683
+                    },
+                    "rank": 1
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "MoebiusTom",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetMoebiusTom"
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+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
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+                []
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+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 1108
+            }
+        ],
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+            "1args": [],
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+                {
+                    "comment": "Setter(MoebiusTom): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 1108
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(MoebiusTom): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 1108
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+                    "rank": 0
+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(MoebiusTom)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasMoebiusTom"
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+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
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+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 1108
+            }
+        ],
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+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(MoebiusTom)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
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+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 1142
+            }
+        ],
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+            "1args": [
+                {
+                    "comment": "WeightsTom: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(WeightsTom)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 1142
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "WeightsTom: for a table of marks",
+                    "filters": [
+                        [
+                            "IsTableOfMarks"
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+                    ],
+                    "location": {
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+                    "rank": 1
+                }
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "WeightsTom",
+        "type": "GAP_Operation"
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+    {
+        "aka": [
+            "SetWeightsTom"
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+                [
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+                []
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+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/tom.gd",
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+            }
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+            "1args": [],
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+                {
+                    "comment": "Setter(WeightsTom): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 1142
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(WeightsTom): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 1142
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(WeightsTom)",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "HasWeightsTom"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
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+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 1142
+            }
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+            "1args": [],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(WeightsTom)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ]
+            ],
+            [
+                [
+                    "IsTableOfMarks"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 1204
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 1205
+            }
+        ],
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+            "1args": [
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+                    "comment": "IsAbelianTom: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsAbelianTom)"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 1204
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "IsAbelianTom: for a table of marks",
+                    "filters": [
+                        [
+                            "IsTableOfMarks"
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+                    ],
+                    "location": {
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+                        "line": 1754
+                    },
+                    "rank": 1
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "IsAbelianTom: for a table of marks with known der. subgroups, and a positive integer",
+                    "filters": [
+                        [
+                            "IsTableOfMarks",
+                            "Tester(DerivedSubgroupsTomUnique)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
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+                        "line": 1775
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+                    "rank": 1021
+                },
+                {
+                    "comment": "IsAbelianTom: for a table of marks and a positive integer",
+                    "filters": [
+                        [
+                            "IsTableOfMarks"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 1768
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+                    "rank": 30
+                },
+                {
+                    "comment": "IsAbelianTom: for a table of marks with generators, and a positive integer",
+                    "filters": [
+                        [
+                            "IsTableOfMarks",
+                            "IsTableOfMarksWithGens"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                    ],
+                    "location": {
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsAbelianTom",
+        "type": "GAP_Operation"
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+    {
+        "aka": [
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+        "filters": [
+            [
+                [
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+                [
+                    "IsBool"
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+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 1204
+            }
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+            "1args": [],
+            "2args": [
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+                    "comment": "Setter(IsAbelianTom): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 1204
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsAbelianTom): default method, does nothing",
+                    "filters": [
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 1204
+                    },
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+                }
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsAbelianTom)",
+        "type": "GAP_Operation"
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+    {
+        "filters": [
+            [
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+        "locations": [
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+                "line": 1204
+            }
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsAbelianTom)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
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+            ],
+            [
+                [
+                    "IsTableOfMarks"
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+                [
+                    "IsInt",
+                    "IsPosRat"
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+            ]
+        ],
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+                "line": 1229
+            },
+            {
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+                "line": 1230
+            }
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsCyclicTom)"
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+                    "location": {
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+                        "line": 1229
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "IsCyclicTom: for a table of marks",
+                    "filters": [
+                        [
+                            "IsTableOfMarks"
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+                    ],
+                    "location": {
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+                        "line": 1796
+                    },
+                    "rank": 1
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "IsCyclicTom: for a table of marks and a positive integer",
+                    "filters": [
+                        [
+                            "IsTableOfMarks"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                    ],
+                    "location": {
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+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        "filters": [
+            [
+                [
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+                [
+                    "IsBool"
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+        ],
+        "locations": [
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+                "line": 1229
+            }
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+                    "comment": "Setter(IsCyclicTom): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 1229
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsCyclicTom): default method, does nothing",
+                    "filters": [
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+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 1229
+                    },
+                    "rank": 0
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(IsCyclicTom)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
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+        ],
+        "locations": [
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+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 1229
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Tester(IsCyclicTom)",
+        "type": "GAP_Operation"
+    },
+    {
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
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+            ],
+            [
+                [
+                    "IsTableOfMarks"
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+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
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+                "line": 1249
+            },
+            {
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+                "line": 1250
+            }
+        ],
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+            "1args": [
+                {
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(IsNilpotentTom)"
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+                    ],
+                    "location": {
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+                        "line": 1249
+                    },
+                    "rank": 20004
+                },
+                {
+                    "comment": "IsNilpotentTom: for a table of marks",
+                    "filters": [
+                        [
+                            "IsTableOfMarks"
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+                    ],
+                    "location": {
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+                        "line": 1819
+                    },
+                    "rank": 1
+                }
+            ],
+            "2args": [
+                {
+                    "comment": "IsNilpotentTom: for a table of marks and a positive integer",
+                    "filters": [
+                        [
+                            "IsTableOfMarks"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                    ],
+                    "location": {
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+                        "line": 1839
+                    },
+                    "rank": 20
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "IsNilpotentTom",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
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+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
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+                [
+                    "IsBool"
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+            ]
+        ],
+        "locations": [
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+                "line": 1249
+            }
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+            "1args": [],
+            "2args": [
+                {
+                    "comment": "Setter(IsNilpotentTom): system setter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
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+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gd",
+                        "line": 1249
+                    },
+                    "rank": 2
+                },
+                {
+                    "comment": "Setter(IsNilpotentTom): default method, does nothing",
+                    "filters": [
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+                        []
+                    ],
+                    "location": {
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+                        "line": 1249
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "name": "Setter(IsNilpotentTom)",
+        "type": "GAP_Operation"
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+        "filters": [
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+        "locations": [
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+                "line": 1249
+            }
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+            "1args": [],
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+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
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+        "type": "GAP_Operation"
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+    {
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+                [
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+            [
+                [
+                    "IsTableOfMarks"
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+                [
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+                    "IsPosRat"
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+                "line": 1269
+            },
+            {
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+            }
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+                        "line": 1269
+                    },
+                    "rank": 20004
+                },
+                {
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+                    "filters": [
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+                    "filters": [
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+                            "IsTableOfMarks",
+                            "Tester(DerivedSubgroupsTomUnique)"
+                        ],
+                        [
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+                            "IsPosRat"
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+                    "location": {
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+                        "line": 1862
+                    },
+                    "rank": 21
+                },
+                {
+                    "comment": "IsPerfectTom: for a table of marks and a positive integer",
+                    "filters": [
+                        [
+                            "IsTableOfMarks"
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+                        [
+                            "IsInt",
+                            "IsPosRat"
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+                    "location": {
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                [
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+                "line": 1269
+            }
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+            "1args": [],
+            "2args": [
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+                    "filters": [
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+                    "location": {
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+                        "line": 1269
+                    },
+                    "rank": 2
+                },
+                {
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+                    "filters": [
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+                        []
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+                    "location": {
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+                        "line": 1269
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+            "5args": [],
+            "6args": []
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+    },
+    {
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+        "locations": [
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+                "line": 1269
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+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
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+                            "IsAttributeStoringRep",
+                            "Tester(IsSolvableTom)"
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+                            "IsTableOfMarks"
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+                        [
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+                {
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+                            "IsTableOfMarks"
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+                        [
+                            "IsInt",
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+            "5args": [],
+            "6args": []
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+                            "IsAttributeStoringRep",
+                            "Tester(DerivedSubgroupsTomPossible)"
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+                        "line": 1393
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+                {
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+        "type": "GAP_Operation"
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+                    "filters": [
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+                            "Tester(NormalizersTom)"
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+                        "line": 1446
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+                        "line": 1446
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+        "filters": [
+            [
+                [
+                    "IsTableOfMarks"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 2011
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "RepresentativeTom: for a table of marks with stored `StraightLineProgramsTom' value",
+                    "filters": [
+                        [
+                            "IsTableOfMarks",
+                            "Tester(StraightLineProgramsTom)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 2992
+                    },
+                    "rank": 22
+                },
+                {
+                    "comment": "RepresentativeTom: for a table of marks with stored `GeneratorsSubgroupsTom' value",
+                    "filters": [
+                        [
+                            "IsTableOfMarks",
+                            "Tester(GeneratorsSubgroupsTom)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 2968
+                    },
+                    "rank": 22
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RepresentativeTom",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RepresentativeTomByGenerators"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks",
+                    "Tester(StraightLineProgramsTom)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 2015
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "RepresentativeTomByGenerators",
+                    "filters": [
+                        [
+                            "IsTableOfMarks",
+                            "Tester(StraightLineProgramsTom)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 3018
+                    },
+                    "rank": 26
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RepresentativeTomByGenerators",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "RepresentativeTomByGeneratorsNC"
+        ],
+        "filters": [
+            [
+                [
+                    "IsTableOfMarks",
+                    "Tester(StraightLineProgramsTom)"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsHomogeneousList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 2019
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [
+                {
+                    "comment": "RepresentativeTomByGeneratorsNC",
+                    "filters": [
+                        [
+                            "IsTableOfMarks",
+                            "Tester(StraightLineProgramsTom)"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsHomogeneousList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 3043
+                    },
+                    "rank": 26
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "RepresentativeTomByGeneratorsNC",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "FusionCharTableTom"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdinaryTable"
+                ],
+                [
+                    "IsTableOfMarks"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 2106
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "FusionCharTableTom: for ordinary character table and table of marks",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsTableOfMarks"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 3526
+                    },
+                    "rank": 23
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "FusionCharTableTom",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PossibleFusionsCharTableTom"
+        ],
+        "filters": [
+            [
+                [
+                    "IsOrdinaryTable"
+                ],
+                [
+                    "IsTableOfMarks"
+                ]
+            ],
+            [
+                [
+                    "IsOrdinaryTable"
+                ],
+                [
+                    "IsTableOfMarks"
+                ],
+                [
+                    "IsRecord"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 2109
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 2112
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "PossibleFusionsCharTableTom: for ordinary character table and table of marks",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsTableOfMarks"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 3061
+                    },
+                    "rank": 23
+                }
+            ],
+            "3args": [
+                {
+                    "comment": "PossibleFusionsCharTableTom: for ordinary character table, table of marks, and record",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsTableOfMarks"
+                        ],
+                        [
+                            "IsRecord"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 3502
+                    },
+                    "rank": 24
+                }
+            ],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PossibleFusionsCharTableTom",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PermCharsTom"
+        ],
+        "filters": [
+            [
+                [
+                    "IsList"
+                ],
+                [
+                    "IsTableOfMarks"
+                ]
+            ],
+            [
+                [
+                    "IsOrdinaryTable"
+                ],
+                [
+                    "IsTableOfMarks"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 2160
+            },
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 2161
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "PermCharsTom: for character table and table of marks",
+                    "filters": [
+                        [
+                            "IsOrdinaryTable"
+                        ],
+                        [
+                            "IsTableOfMarks"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 3577
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PermCharsTom: for explicit fusion map and table of marks",
+                    "filters": [
+                        [
+                            "IsList"
+                        ],
+                        [
+                            "IsTableOfMarks"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 3562
+                    },
+                    "rank": 3
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PermCharsTom",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "TableOfMarksCyclic"
+        ],
+        "filters": [
+            [
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 2202
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "TableOfMarksCyclic: for a positive integer",
+                    "filters": [
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 3643
+                    },
+                    "rank": 19
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "TableOfMarksCyclic",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "TableOfMarksDihedral"
+        ],
+        "filters": [
+            [
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 2246
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "TableOfMarksDihedral: for a positive integer",
+                    "filters": [
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 3781
+                    },
+                    "rank": 19
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "TableOfMarksDihedral",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "TableOfMarksFrobenius"
+        ],
+        "filters": [
+            [
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ],
+                [
+                    "IsInt",
+                    "IsPosRat"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/tom.gd",
+                "line": 2276
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "TableOfMarksFrobenius: tom of a Frobenius group",
+                    "filters": [
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ],
+                        [
+                            "IsInt",
+                            "IsPosRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/tom.gi",
+                        "line": 3856
+                    },
+                    "rank": 38
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "TableOfMarksFrobenius",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "MagmaInputString"
+        ],
+        "filters": [
+            [
+                [],
+                [
+                    "IsString"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/other.gd",
+                "line": 12
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "MagmaInputString: perm group",
+                    "filters": [
+                        [
+                            "CategoryCollections(IsPerm)",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
+                        ],
+                        [
+                            "IsString"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/other.gi",
+                        "line": 30
+                    },
+                    "rank": 63
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "MagmaInputString",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "ShrinkCoeffs"
+        ],
+        "filters": [
+            [
+                [
+                    "IsMutable",
+                    "IsList"
+                ]
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/obsolete.gd",
+                "line": 355
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "ShrinkCoeffs: 8 bit vector",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "Is8BitVectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/obsolete.gi",
+                        "line": 382
+                    },
+                    "rank": 26
+                },
+                {
+                    "comment": "ShrinkCoeffs: for GF2 vector",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsHomogeneousList",
+                            "IsNearAdditiveElementWithInverse",
+                            "IsAdditiveElement",
+                            "IsExtLElement",
+                            "IsExtRElement",
+                            "IsOddAdditiveNestingDepthObject",
+                            "IsGF2VectorRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/obsolete.gi",
+                        "line": 396
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "ShrinkCoeffs: call `ShrinkRowVector'",
+                    "filters": [
+                        [
+                            "IsMutable",
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/obsolete.gi",
+                        "line": 362
+                    },
+                    "rank": 4
+                },
+                {
+                    "comment": "ShrinkCoeffs: error if immutable",
+                    "filters": [
+                        [
+                            "IsList"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/obsolete.gi",
+                        "line": 366
+                    },
+                    "rank": 2
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ShrinkCoeffs",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "TeXObj"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/obsolete.gd",
+                "line": 393
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "TeXObj",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "LaTeXObj"
+        ],
+        "filters": [
+            [
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/obsolete.gd",
+                "line": 412
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "LaTeXObj: matrix",
+                    "filters": [
+                        [
+                            "IsTable",
+                            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+                            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+                            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/obsolete.gi",
+                        "line": 533
+                    },
+                    "rank": 30
+                },
+                {
+                    "comment": "LaTeXObj: rational",
+                    "filters": [
+                        [
+                            "IsRat"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/obsolete.gi",
+                        "line": 634
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "LaTeXObj: for an internal FFE",
+                    "filters": [
+                        [
+                            "IsFFE",
+                            "IsInternalRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/obsolete.gi",
+                        "line": 493
+                    },
+                    "rank": 17
+                },
+                {
+                    "comment": "LaTeXObj: polynomial",
+                    "filters": [
+                        [
+                            "IsPolynomial",
+                            "Tester(IsPolynomial)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/obsolete.gi",
+                        "line": 613
+                    },
+                    "rank": 14
+                },
+                {
+                    "comment": "LaTeXObj: for an element of an f.p. group (default repres.)",
+                    "filters": [
+                        [
+                            "IsPackedElementDefaultRep",
+                            "IsElementOfFpGroup"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/obsolete.gi",
+                        "line": 504
+                    },
+                    "rank": 9
+                },
+                {
+                    "comment": "LaTeXObj: assoc word in letter rep",
+                    "filters": [
+                        [
+                            "IsAssociativeElement",
+                            "IsWord",
+                            "IsLetterAssocWordRep"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/obsolete.gi",
+                        "line": 692
+                    },
+                    "rank": 6
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "LaTeXObj",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "PositionFirstComponent"
+        ],
+        "filters": [
+            [
+                [
+                    "IsList"
+                ],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/lib/obsolete.gd",
+                "line": 530
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [],
+            "2args": [
+                {
+                    "comment": "PositionFirstComponent: for dense plain list",
+                    "filters": [
+                        [
+                            "IsDenseList",
+                            "IsPlistRep",
+                            "IsSortedList",
+                            "Tester(IsSortedList)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/obsolete.gi",
+                        "line": 834
+                    },
+                    "rank": 23
+                },
+                {
+                    "comment": "PositionFirstComponent: for sorted list",
+                    "filters": [
+                        [
+                            "IsSSortedList",
+                            "Tester(IS_SSORT_LIST)"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/obsolete.gi",
+                        "line": 878
+                    },
+                    "rank": 8
+                },
+                {
+                    "comment": "PositionFirstComponent: for dense list",
+                    "filters": [
+                        [
+                            "IsDenseList"
+                        ],
+                        []
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/lib/obsolete.gi",
+                        "line": 851
+                    },
+                    "rank": 3
+                }
+            ],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "PositionFirstComponent",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "UChar"
+        ],
+        "filters": [
+            [
+                []
+            ],
+            [
+                [],
+                []
+            ]
+        ],
+        "locations": [
+            {
+                "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/UnicodeTools.gd",
+                "line": 38
+            },
+            {
+                "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/UnicodeTools.gd",
+                "line": 39
+            }
+        ],
+        "methods": {
+            "0args": [],
+            "1args": [
+                {
+                    "comment": "UChar",
+                    "filters": [
+                        [
+                            "IsInt"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/UnicodeTools.gi",
+                        "line": 452
+                    },
+                    "rank": 18
+                },
+                {
+                    "comment": "UChar",
+                    "filters": [
+                        [
+                            "IsChar"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/GAPDoc-1.5.1/lib/UnicodeTools.gi",
+                        "line": 456
+                    },
+                    "rank": 1
+                }
+            ],
+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
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+                        "file": "/home/makx/ac/gap/pkg/json/gap/json.gi",
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+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "type": "GAP_Operation"
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+                    "comment": "ProcessID: system getter",
+                    "filters": [
+                        [
+                            "IsAttributeStoringRep",
+                            "Tester(ProcessID)"
+                        ]
+                    ],
+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/io-4.4.4/gap/io.gd",
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "ProcessID",
+        "type": "GAP_Operation"
+    },
+    {
+        "aka": [
+            "SetProcessID"
+        ],
+        "filters": [
+            [
+                [
+                    "IsFile"
+                ],
+                []
+            ]
+        ],
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+            {
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+        ],
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+            "1args": [],
+            "2args": [
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+                    "filters": [
+                        [
+                            "IsAttributeStoringRep"
+                        ],
+                        []
+                    ],
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+                    },
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+                },
+                {
+                    "comment": "Setter(ProcessID): default method, does nothing",
+                    "filters": [
+                        [],
+                        []
+                    ],
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+                        "file": "/home/makx/ac/gap/pkg/io-4.4.4/gap/io.gd",
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+                }
+            ],
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+            "4args": [],
+            "5args": [],
+            "6args": []
+        },
+        "name": "Setter(ProcessID)",
+        "type": "GAP_Operation"
+    },
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+        "aka": [
+            "HasProcessID"
+        ],
+        "filters": [
+            [
+                [
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+            {
+                "file": "/home/makx/ac/gap/pkg/io-4.4.4/gap/io.gd",
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+            "2args": [],
+            "3args": [],
+            "4args": [],
+            "5args": [],
+            "6args": []
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+        "filters": [
+            [
+                [
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+            ],
+            [
+                []
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+        ],
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+            {
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+            {
+                "file": "/home/makx/ac/gap/pkg/io-4.4.4/gap/pickle.gd",
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+                    "filters": [
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+                    "location": {
+                        "file": "/home/makx/ac/gap/pkg/io-4.4.4/gap/pickle.gi",
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+            ],
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+                {
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+                    "filters": [
+                        [
+                            "IsFile"
+                        ],
+                        [
+                            "IsNonTrivial",
+                            "Tester(IsNonTrivial)",
+                            "IsFinite",
+                            "Tester(IsFinite)",
+                            "IsExtLSet",
+                            "IsAssociativeLOpDProd",
+                            "IsAssociativeLOpEProd",
+                            "IsDistributiveLOpDSum",
+                            "IsDistributiveLOpESum",
+                            "IsTrivialLOpEOne",
+                            "IsLeftActedOnByRing",
+                            "IsLeftActedOnByDivisionRing",
+                            "Tester(IsLeftActedOnByDivisionRing)",
+                            "IsMagma",
+                            "IsMagmaWithOne",
+                            "IsMagmaWithInversesIfNonzero",
+                            "IsAssociative",
+                            "Tester(IsAssociative)",
+                            "IsCommutative",
+                            "Tester(IsCommutative)",
+                            "IsNearAdditiveMagma",
+                            "IsNearAdditiveGroup",
+                            "IsAdditivelyCommutative",
+                            "Tester(IsAdditivelyCommutative)",
+                            "IsLDistributive",
+                            "Tester(IsLDistributive)",
+                            "IsRDistributive",
+                            "Tester(IsRDistributive)",
+                            "IsEuclideanRing"
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+                    ],
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+                        "file": "/home/makx/ac/gap/pkg/io-4.4.4/gap/pickle.gi",
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+                    "filters": [
+                        [
+                            "IsFile"
+                        ],
+                        [
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+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    ],
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+                {
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+                    "filters": [
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+                        [
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+                            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+                            "IsMagmaWithInverses",
+                            "IsAssociative",
+                            "Tester(IsAssociative)"
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+                    ],
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+                        [
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+                        [
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+                    "filters": [
+                        [
+                            "IsFile"
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+                        [
+                            "IsList",
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+                    ],
+                    "location": {
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+                    "filters": [
+                        [
+                            "IsFile"
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+                        [
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+                            "Tester(IsUnivariateRationalFunction)",
+                            "IsUnivariateRationalFunctionDefaultRep"
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+                    ],
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+                },
+                {
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+                    "filters": [
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+                            "IsFile"
+                        ],
+                        [
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+                    ],
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+                    "filters": [
+                        [
+                            "IsFile"
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+                        [
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+                    ],
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+                },
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+                    "filters": [
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+                            "IsFile"
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+            "6args": []
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+                        [
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+                        [
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+                        [
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+        "location": {},
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+        "name": "AlgebraWithOneHomomorphismByImages",
+        "type": "GAP_Function"
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+        ],
+        "location": {},
+        "name": "AutomorphismGroupFittingFree",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "AutomorphismGroupFrattFreeGroup"
+        ],
+        "location": {},
+        "name": "AutomorphismGroupFrattFreeGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "AutomorphismGroupNilpotentGroup"
+        ],
+        "location": {},
+        "name": "AutomorphismGroupNilpotentGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "AutomorphismGroupSolvableGroup"
+        ],
+        "location": {},
+        "name": "AutomorphismGroupSolvableGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "AutomorphismRepresentingGroup"
+        ],
+        "location": {},
+        "name": "AutomorphismRepresentingGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Average"
+        ],
+        "location": {},
+        "name": "Average",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BPolyProd"
+        ],
+        "location": {},
+        "name": "BPolyProd",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BackgroundJobByForkChild"
+        ],
+        "location": {},
+        "name": "BackgroundJobByForkChild",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Base64String"
+        ],
+        "location": {},
+        "name": "Base64String",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BaseFixedSpace"
+        ],
+        "location": {},
+        "name": "BaseFixedSpace",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BasePoint"
+        ],
+        "location": {},
+        "name": "BasePoint",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BaseShortVectors"
+        ],
+        "location": {},
+        "name": "BaseShortVectors",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BaseStabChain"
+        ],
+        "location": {},
+        "name": "BaseStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BaseSteinitzVectors"
+        ],
+        "location": {},
+        "name": "BaseSteinitzVectors",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BasicSpinRepresentationOfSymmetricGroup"
+        ],
+        "location": {},
+        "name": "BasicSpinRepresentationOfSymmetricGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BasisNullspaceModN"
+        ],
+        "location": {},
+        "name": "BasisNullspaceModN",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BasisVectorsForMatrixAction"
+        ],
+        "location": {},
+        "name": "BasisVectorsForMatrixAction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BasisWithReplacedLeftModule"
+        ],
+        "location": {},
+        "name": "BasisWithReplacedLeftModule",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Bell"
+        ],
+        "location": {},
+        "name": "Bell",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Bernoulli"
+        ],
+        "location": {},
+        "name": "Bernoulli",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BestQuoInt"
+        ],
+        "location": {},
+        "name": "BestQuoInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BestSplittingMatrix"
+        ],
+        "location": {},
+        "name": "BestSplittingMatrix",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BetaSet"
+        ],
+        "location": {},
+        "name": "BetaSet",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BibEntry"
+        ],
+        "location": {},
+        "name": "BibEntry",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BinaryRelationByElements"
+        ],
+        "location": {},
+        "name": "BinaryRelationByElements",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BinaryRelationByListOfImages",
+            "BinaryRelationOnPoints"
+        ],
+        "location": {},
+        "name": "BinaryRelationOnPoints",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BinaryRelationByListOfImagesNC",
+            "BinaryRelationOnPointsNC"
+        ],
+        "location": {},
+        "name": "BinaryRelationOnPointsNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BindGlobal"
+        ],
+        "location": {},
+        "name": "BindGlobal",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Binomial"
+        ],
+        "location": {},
+        "name": "Binomial",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BlistStringDecode"
+        ],
+        "location": {},
+        "name": "BlistStringDecode",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BlockMatrix"
+        ],
+        "location": {},
+        "name": "BlockMatrix",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BlowUpCocycleSQ"
+        ],
+        "location": {},
+        "name": "BlowUpCocycleSQ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BlowUpIsomorphism"
+        ],
+        "location": {},
+        "name": "BlowUpIsomorphism",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BlownUpMat"
+        ],
+        "location": {},
+        "name": "BlownUpMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BlownUpModule"
+        ],
+        "location": {},
+        "name": "BlownUpModule",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BlownUpVector"
+        ],
+        "location": {},
+        "name": "BlownUpVector",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BombieriNorm"
+        ],
+        "location": {},
+        "name": "BombieriNorm",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "BuildRecBibXMLEntry"
+        ],
+        "location": {},
+        "name": "BuildRecBibXMLEntry",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CIUnivPols"
+        ],
+        "location": {},
+        "name": "CIUnivPols",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "COAffineBlocks"
+        ],
+        "location": {},
+        "name": "COAffineBlocks",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "COAffineCohomologyAction"
+        ],
+        "location": {},
+        "name": "COAffineCohomologyAction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "COComplements"
+        ],
+        "location": {},
+        "name": "COComplements",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "COComplementsMain"
+        ],
+        "location": {},
+        "name": "COComplementsMain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CONextCentral"
+        ],
+        "location": {},
+        "name": "CONextCentral",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CONextCentraliser",
+            "CONextCentralizer"
+        ],
+        "location": {},
+        "name": "CONextCentralizer",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CONextCocycles"
+        ],
+        "location": {},
+        "name": "CONextCocycles",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CONextComplements"
+        ],
+        "location": {},
+        "name": "CONextComplements",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "COSolvableFactor"
+        ],
+        "location": {},
+        "name": "COSolvableFactor",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CallWithTimeout"
+        ],
+        "location": {},
+        "name": "CallWithTimeout",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CallWithTimeoutList"
+        ],
+        "location": {},
+        "name": "CallWithTimeoutList",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CanEasilyCompareElementsFamily"
+        ],
+        "location": {},
+        "name": "CanEasilyCompareElementsFamily",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CanEasilySortElementsFamily"
+        ],
+        "location": {},
+        "name": "CanEasilySortElementsFamily",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CanonicalRelator"
+        ],
+        "location": {},
+        "name": "CanonicalRelator",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CanonicalSubgroupRepresentativePcGroup"
+        ],
+        "location": {},
+        "name": "CanonicalSubgroupRepresentativePcGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Cartesian"
+        ],
+        "location": {},
+        "name": "Cartesian",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CasesCSPG"
+        ],
+        "location": {},
+        "name": "CasesCSPG",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CategoryByName"
+        ],
+        "location": {},
+        "name": "CategoryByName",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Cell"
+        ],
+        "location": {},
+        "name": "Cell",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CellNoPoint"
+        ],
+        "location": {},
+        "name": "CellNoPoint",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CellNoPoints"
+        ],
+        "location": {},
+        "name": "CellNoPoints",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Cells"
+        ],
+        "location": {},
+        "name": "Cells",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CentralStepClEANS"
+        ],
+        "location": {},
+        "name": "CentralStepClEANS",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CentralStepConjugatingElement"
+        ],
+        "location": {},
+        "name": "CentralStepConjugatingElement",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CentralStepRatClPGroup"
+        ],
+        "location": {},
+        "name": "CentralStepRatClPGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CentraliserInFiniteDimensionalAlgebra",
+            "CentralizerInFiniteDimensionalAlgebra"
+        ],
+        "location": {},
+        "name": "CentralizerInFiniteDimensionalAlgebra",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CentraliserNormalCSPG",
+            "CentralizerNormalCSPG"
+        ],
+        "location": {},
+        "name": "CentralizerNormalCSPG",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CentraliserNormalTransCSPG",
+            "CentralizerNormalTransCSPG"
+        ],
+        "location": {},
+        "name": "CentralizerNormalTransCSPG",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CentraliserSizeLimitConsiderFunction",
+            "CentralizerSizeLimitConsiderFunction"
+        ],
+        "location": {},
+        "name": "CentralizerSizeLimitConsiderFunction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CentraliserTransSymmCSPG",
+            "CentralizerTransSymmCSPG"
+        ],
+        "location": {},
+        "name": "CentralizerTransSymmCSPG",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CentraliserWreath",
+            "CentralizerWreath"
+        ],
+        "location": {},
+        "name": "CentralizerWreath",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "CentrePcGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ChangeDirectoryCurrent"
+        ],
+        "location": {},
+        "name": "ChangeDirectoryCurrent",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ChangeStabChain"
+        ],
+        "location": {},
+        "name": "ChangeStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CharValueSymmetric"
+        ],
+        "location": {},
+        "name": "CharValueSymmetric",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CharValueWeylB"
+        ],
+        "location": {},
+        "name": "CharValueWeylB",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CharValueWreathSymmetric"
+        ],
+        "location": {},
+        "name": "CharValueWreathSymmetric",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CharacterString"
+        ],
+        "location": {},
+        "name": "CharacterString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CharacterTableHeadOfFactorGroupByFusion"
+        ],
+        "location": {},
+        "name": "CharacterTableHeadOfFactorGroupByFusion",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CharacterTableOfNormalSubgroup"
+        ],
+        "location": {},
+        "name": "CharacterTableOfNormalSubgroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CharacterTableQuaternionic"
+        ],
+        "location": {},
+        "name": "CharacterTableQuaternionic",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CharacterTableRegular"
+        ],
+        "location": {},
+        "name": "CharacterTableRegular",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CharacterTableWithStoredGroup"
+        ],
+        "location": {},
+        "name": "CharacterTableWithStoredGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CharacterTableWreathSymmetric"
+        ],
+        "location": {},
+        "name": "CharacterTableWreathSymmetric",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CharacterTable_IsNilpotentFactor"
+        ],
+        "location": {},
+        "name": "CharacterTable_IsNilpotentFactor",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CharacterTable_IsNilpotentNormalSubgroup"
+        ],
+        "location": {},
+        "name": "CharacterTable_IsNilpotentNormalSubgroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CharacterTable_UpperCentralSeriesFactor"
+        ],
+        "location": {},
+        "name": "CharacterTable_UpperCentralSeriesFactor",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CheckAndCleanGapDocTree"
+        ],
+        "location": {},
+        "name": "CheckAndCleanGapDocTree",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CheckCosetTableFpGroup"
+        ],
+        "location": {},
+        "name": "CheckCosetTableFpGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CheckDigitTestFunction"
+        ],
+        "location": {},
+        "name": "CheckDigitTestFunction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CheckFixedPoints"
+        ],
+        "location": {},
+        "name": "CheckFixedPoints",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CheckForHandlingByNiceBasis"
+        ],
+        "location": {},
+        "name": "CheckForHandlingByNiceBasis",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CheckForUpdates"
+        ],
+        "location": {},
+        "name": "CheckForUpdates",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CheckPackageLoading"
+        ],
+        "location": {},
+        "name": "CheckPackageLoading",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CheckPermChar"
+        ],
+        "location": {},
+        "name": "CheckPermChar",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "ChiefSeriesOfGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ChineseRem"
+        ],
+        "location": {},
+        "name": "ChineseRem",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Chomp"
+        ],
+        "location": {},
+        "name": "Chomp",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ChooseNextBasePoint"
+        ],
+        "location": {},
+        "name": "ChooseNextBasePoint",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Cite"
+        ],
+        "location": {},
+        "name": "Cite",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ClassComparison"
+        ],
+        "location": {},
+        "name": "ClassComparison",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ClassFunctionSameType"
+        ],
+        "location": {},
+        "name": "ClassFunctionSameType",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ClassPositionsOfNormalSubgroup"
+        ],
+        "location": {},
+        "name": "ClassPositionsOfNormalSubgroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ClassStructureCharTable"
+        ],
+        "location": {},
+        "name": "ClassStructureCharTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ClassesProjectiveImage"
+        ],
+        "location": {},
+        "name": "ClassesProjectiveImage",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ClassesSolubleGroup",
+            "ClassesSolvableGroup"
+        ],
+        "location": {},
+        "name": "ClassesSolvableGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ClassicalIsomorphismTypeFiniteSimpleGroup"
+        ],
+        "location": {},
+        "name": "ClassicalIsomorphismTypeFiniteSimpleGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ClearObjectMarker"
+        ],
+        "location": {},
+        "name": "ClearObjectMarker",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CloseHTTPConnection"
+        ],
+        "location": {},
+        "name": "CloseHTTPConnection",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CloseNaturalHomomorphismsPool"
+        ],
+        "location": {},
+        "name": "CloseNaturalHomomorphismsPool",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ClosureGroupAddElm"
+        ],
+        "location": {},
+        "name": "ClosureGroupAddElm",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ClosureGroupCompare"
+        ],
+        "location": {},
+        "name": "ClosureGroupCompare",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ClosureGroupDefault"
+        ],
+        "location": {},
+        "name": "ClosureGroupDefault",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "ClosureGroupIntest",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ClosureRandomPermGroup"
+        ],
+        "location": {},
+        "name": "ClosureRandomPermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ClosureSubgroup"
+        ],
+        "location": {},
+        "name": "ClosureSubgroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ClosureSubgroupNC"
+        ],
+        "location": {},
+        "name": "ClosureSubgroupNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CoKernelGensIterator"
+        ],
+        "location": {},
+        "name": "CoKernelGensIterator",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CoKernelGensPermHom"
+        ],
+        "location": {},
+        "name": "CoKernelGensPermHom",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CodePcGroup"
+        ],
+        "location": {},
+        "name": "CodePcGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CodePcgs"
+        ],
+        "location": {},
+        "name": "CodePcgs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CoefficientTaylorSeries"
+        ],
+        "location": {},
+        "name": "CoefficientTaylorSeries",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CoefficientsMultiadic"
+        ],
+        "location": {},
+        "name": "CoefficientsMultiadic",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CoeffsCyc"
+        ],
+        "location": {},
+        "name": "CoeffsCyc",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CollapsedMat"
+        ],
+        "location": {},
+        "name": "CollapsedMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CollectUEALatticeElement"
+        ],
+        "location": {},
+        "name": "CollectUEALatticeElement",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CollectedPartition"
+        ],
+        "location": {},
+        "name": "CollectedPartition",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CollectedWordSQ"
+        ],
+        "location": {},
+        "name": "CollectedWordSQ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CollectorSQ"
+        ],
+        "location": {},
+        "name": "CollectorSQ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ColumnCharacterTable"
+        ],
+        "location": {},
+        "name": "ColumnCharacterTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Combinations"
+        ],
+        "location": {},
+        "name": "Combinations",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CommutativeDiagram"
+        ],
+        "location": {},
+        "name": "CommutativeDiagram",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CompanionMat"
+        ],
+        "location": {},
+        "name": "CompanionMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CompareTimes"
+        ],
+        "location": {},
+        "name": "CompareTimes",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CompareVersionNumbers"
+        ],
+        "location": {},
+        "name": "CompareVersionNumbers",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "CompatibleConjugacyClassesDefault",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CompatiblePairs"
+        ],
+        "location": {},
+        "name": "CompatiblePairs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ComplementClassesRepresentativesEA"
+        ],
+        "location": {},
+        "name": "ComplementClassesRepresentativesEA",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ComplementFactorFpHom"
+        ],
+        "location": {},
+        "name": "ComplementFactorFpHom",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CompleteGaloisGroupPElement"
+        ],
+        "location": {},
+        "name": "CompleteGaloisGroupPElement",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CompletionBar"
+        ],
+        "location": {},
+        "name": "CompletionBar",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ComplexificationQuat"
+        ],
+        "location": {},
+        "name": "ComplexificationQuat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ComponentStringOfPartialPerm"
+        ],
+        "location": {},
+        "name": "ComponentStringOfPartialPerm",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ComposedDocument"
+        ],
+        "location": {},
+        "name": "ComposedDocument",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ComposedXMLString"
+        ],
+        "location": {},
+        "name": "ComposedXMLString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CompositionMapping"
+        ],
+        "location": {},
+        "name": "CompositionMapping",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "CompositionMapping2General",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CompositionMaps"
+        ],
+        "location": {},
+        "name": "CompositionMaps",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CompositionOfStraightLinePrograms"
+        ],
+        "location": {},
+        "name": "CompositionOfStraightLinePrograms",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConcatSubos"
+        ],
+        "location": {},
+        "name": "ConcatSubos",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Concatenation"
+        ],
+        "location": {},
+        "name": "Concatenation",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConcatenationOfVectors"
+        ],
+        "location": {},
+        "name": "ConcatenationOfVectors",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Congruences"
+        ],
+        "location": {},
+        "name": "Congruences",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConjugacyClassesByOrbits"
+        ],
+        "location": {},
+        "name": "ConjugacyClassesByOrbits",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConjugacyClassesByRandomSearch"
+        ],
+        "location": {},
+        "name": "ConjugacyClassesByRandomSearch",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConjugacyClassesFittingFreeGroup"
+        ],
+        "location": {},
+        "name": "ConjugacyClassesFittingFreeGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConjugacyClassesForSmallGroup"
+        ],
+        "location": {},
+        "name": "ConjugacyClassesForSmallGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConjugacyClassesOfNaturalGroup"
+        ],
+        "location": {},
+        "name": "ConjugacyClassesOfNaturalGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConjugacyClassesSubwreath"
+        ],
+        "location": {},
+        "name": "ConjugacyClassesSubwreath",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConjugacyClassesTry"
+        ],
+        "location": {},
+        "name": "ConjugacyClassesTry",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConjugacyClassesViaRadical"
+        ],
+        "location": {},
+        "name": "ConjugacyClassesViaRadical",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConjugateStabChain"
+        ],
+        "location": {},
+        "name": "ConjugateStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConjugatedModule"
+        ],
+        "location": {},
+        "name": "ConjugatedModule",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConjugatorAutomorphism"
+        ],
+        "location": {},
+        "name": "ConjugatorAutomorphism",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConjugatorPermGroup"
+        ],
+        "location": {},
+        "name": "ConjugatorPermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConnectGroupAndCharacterTable"
+        ],
+        "location": {},
+        "name": "ConnectGroupAndCharacterTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConsiderKernels"
+        ],
+        "location": {},
+        "name": "ConsiderKernels",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConsiderSmallerPowerMaps"
+        ],
+        "location": {},
+        "name": "ConsiderSmallerPowerMaps",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConsiderStructureConstants"
+        ],
+        "location": {},
+        "name": "ConsiderStructureConstants",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConsiderTableAutomorphisms"
+        ],
+        "location": {},
+        "name": "ConsiderTableAutomorphisms",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConstituentsCompositionMapping"
+        ],
+        "location": {},
+        "name": "ConstituentsCompositionMapping",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConstituentsPolynomial"
+        ],
+        "location": {},
+        "name": "ConstituentsPolynomial",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConstructFormPreservingGroup"
+        ],
+        "location": {},
+        "name": "ConstructFormPreservingGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ContainedCharacters"
+        ],
+        "location": {},
+        "name": "ContainedCharacters",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ContainedDecomposables"
+        ],
+        "location": {},
+        "name": "ContainedDecomposables",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ContainedMaps"
+        ],
+        "location": {},
+        "name": "ContainedMaps",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ContainedPossibleCharacters"
+        ],
+        "location": {},
+        "name": "ContainedPossibleCharacters",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ContainedPossibleVirtualCharacters"
+        ],
+        "location": {},
+        "name": "ContainedPossibleVirtualCharacters",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ContainedSpecialVectors"
+        ],
+        "location": {},
+        "name": "ContainedSpecialVectors",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ContentBuildRecBibXMLEntry"
+        ],
+        "location": {},
+        "name": "ContentBuildRecBibXMLEntry",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ContinuedFractionApproximationOfRoot"
+        ],
+        "location": {},
+        "name": "ContinuedFractionApproximationOfRoot",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ContinuedFractionExpansionOfRoot"
+        ],
+        "location": {},
+        "name": "ContinuedFractionExpansionOfRoot",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConvertToCharacterTable"
+        ],
+        "location": {},
+        "name": "ConvertToCharacterTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConvertToCharacterTableNC"
+        ],
+        "location": {},
+        "name": "ConvertToCharacterTableNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConvertToLibraryCharacterTableNC"
+        ],
+        "location": {},
+        "name": "ConvertToLibraryCharacterTableNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConvertToMatrixRep"
+        ],
+        "location": {},
+        "name": "ConvertToMatrixRep",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConvertToMatrixRepNC"
+        ],
+        "location": {},
+        "name": "ConvertToMatrixRepNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConvertToTableOfMarks"
+        ],
+        "location": {},
+        "name": "ConvertToTableOfMarks",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConvertToVectorRep",
+            "ConvertToVectorRepNC"
+        ],
+        "location": {},
+        "name": "ConvertToVectorRepNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConwayPol"
+        ],
+        "location": {},
+        "name": "ConwayPol",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ConwayPolynomial"
+        ],
+        "location": {},
+        "name": "ConwayPolynomial",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CopiedAugmentedCosetTable"
+        ],
+        "location": {},
+        "name": "CopiedAugmentedCosetTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CopyHTMLStyleFiles"
+        ],
+        "location": {},
+        "name": "CopyHTMLStyleFiles",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CopyMappingAttributes"
+        ],
+        "location": {},
+        "name": "CopyMappingAttributes",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CopyMemory"
+        ],
+        "location": {},
+        "name": "CopyMemory",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CopyOptionsDefaults"
+        ],
+        "location": {},
+        "name": "CopyOptionsDefaults",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CopyStabChain"
+        ],
+        "location": {},
+        "name": "CopyStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CorestEval"
+        ],
+        "location": {},
+        "name": "CorestEval",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CorrectConjugacyClass"
+        ],
+        "location": {},
+        "name": "CorrectConjugacyClass",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CorrespondingGeneratorsByModuloPcgs"
+        ],
+        "location": {},
+        "name": "CorrespondingGeneratorsByModuloPcgs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CosetDecomposition"
+        ],
+        "location": {},
+        "name": "CosetDecomposition",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CosetNumber"
+        ],
+        "location": {},
+        "name": "CosetNumber",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CosetRepAsWord"
+        ],
+        "location": {},
+        "name": "CosetRepAsWord",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CosetTableFromGensAndRels"
+        ],
+        "location": {},
+        "name": "CosetTableFromGensAndRels",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CoveringTriplesCharacters"
+        ],
+        "location": {},
+        "name": "CoveringTriplesCharacters",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CrcText"
+        ],
+        "location": {},
+        "name": "CrcText",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CreateIsomorphicPcGroup"
+        ],
+        "location": {},
+        "name": "CreateIsomorphicPcGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CreateKnuthBendixRewritingSystem"
+        ],
+        "location": {},
+        "name": "CreateKnuthBendixRewritingSystem",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CurrentLocation"
+        ],
+        "location": {},
+        "name": "CurrentLocation",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Cycle"
+        ],
+        "location": {},
+        "name": "Cycle",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CycleIndex"
+        ],
+        "location": {},
+        "name": "CycleIndex",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CycleLength"
+        ],
+        "location": {},
+        "name": "CycleLength",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CycleLengths"
+        ],
+        "location": {},
+        "name": "CycleLengths",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CycleStructuresGroup"
+        ],
+        "location": {},
+        "name": "CycleStructuresGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Cycles"
+        ],
+        "location": {},
+        "name": "Cycles",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CF",
+            "CyclotomicField"
+        ],
+        "location": {},
+        "name": "CyclotomicField",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CyclotomicPol"
+        ],
+        "location": {},
+        "name": "CyclotomicPol",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "CyclotomicPolynomial"
+        ],
+        "location": {},
+        "name": "CyclotomicPolynomial",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DMYDay"
+        ],
+        "location": {},
+        "name": "DMYDay",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DMYhmsSeconds"
+        ],
+        "location": {},
+        "name": "DMYhmsSeconds",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DayDMY"
+        ],
+        "location": {},
+        "name": "DayDMY",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DaysInMonth"
+        ],
+        "location": {},
+        "name": "DaysInMonth",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DaysInYear"
+        ],
+        "location": {},
+        "name": "DaysInYear",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DeclareAutoreadableVariables"
+        ],
+        "location": {},
+        "name": "DeclareAutoreadableVariables",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DeclareHandlingByNiceBasis"
+        ],
+        "location": {},
+        "name": "DeclareHandlingByNiceBasis",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DeclareInfoClass"
+        ],
+        "location": {},
+        "name": "DeclareInfoClass",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DeclareObject"
+        ],
+        "location": {},
+        "name": "DeclareObject",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DecodeTree"
+        ],
+        "location": {},
+        "name": "DecodeTree",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DecodedTreeEntry"
+        ],
+        "location": {},
+        "name": "DecodedTreeEntry",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DecompositionInt"
+        ],
+        "location": {},
+        "name": "DecompositionInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Decreased"
+        ],
+        "location": {},
+        "name": "Decreased",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DefaultField"
+        ],
+        "location": {},
+        "name": "DefaultField",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DefaultInfoHandler"
+        ],
+        "location": {},
+        "name": "DefaultInfoHandler",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DefaultPackageBannerString"
+        ],
+        "location": {},
+        "name": "DefaultPackageBannerString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DefaultRing"
+        ],
+        "location": {},
+        "name": "DefaultRing",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DefiningQuotientHomomorphism"
+        ],
+        "location": {},
+        "name": "DefiningQuotientHomomorphism",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DegreeNaturalHomomorphismsPool"
+        ],
+        "location": {},
+        "name": "DegreeNaturalHomomorphismsPool",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DenominatorCyc"
+        ],
+        "location": {},
+        "name": "DenominatorCyc",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DenseHashTable"
+        ],
+        "location": {},
+        "name": "DenseHashTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DepthSchreierTrees"
+        ],
+        "location": {},
+        "name": "DepthSchreierTrees",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Derangements"
+        ],
+        "location": {},
+        "name": "Derangements",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DerivedSubgroupsTom"
+        ],
+        "location": {},
+        "name": "DerivedSubgroupsTom",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DescriptionOfNormalizedUEAElement"
+        ],
+        "location": {},
+        "name": "DescriptionOfNormalizedUEAElement",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DescriptionOfRootOfUnity"
+        ],
+        "location": {},
+        "name": "DescriptionOfRootOfUnity",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DeterminantIntMat"
+        ],
+        "location": {},
+        "name": "DeterminantIntMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DiagonalMat"
+        ],
+        "location": {},
+        "name": "DiagonalMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DiagonalOfMat"
+        ],
+        "location": {},
+        "name": "DiagonalOfMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DiagonalSocleAction"
+        ],
+        "location": {},
+        "name": "DiagonalSocleAction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DiagonalizeIntMat"
+        ],
+        "location": {},
+        "name": "DiagonalizeIntMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DiagonalizeIntMatNormDriven"
+        ],
+        "location": {},
+        "name": "DiagonalizeIntMatNormDriven",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DictionaryByPosition"
+        ],
+        "location": {},
+        "name": "DictionaryByPosition",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DifferenceBlist"
+        ],
+        "location": {},
+        "name": "DifferenceBlist",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DifferenceTimes"
+        ],
+        "location": {},
+        "name": "DifferenceTimes",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DigitsNumber"
+        ],
+        "location": {},
+        "name": "DigitsNumber",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DirectFactorsOfGroupFromList"
+        ],
+        "location": {},
+        "name": "DirectFactorsOfGroupFromList",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DirectFactorsOfGroupKN"
+        ],
+        "location": {},
+        "name": "DirectFactorsOfGroupKN",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DirectProduct"
+        ],
+        "location": {},
+        "name": "DirectProduct",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DirectSum"
+        ],
+        "location": {},
+        "name": "DirectSum",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DirectSumMat"
+        ],
+        "location": {},
+        "name": "DirectSumMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DirectoriesPackageLibrary"
+        ],
+        "location": {},
+        "name": "DirectoriesPackageLibrary",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DirectoriesPackagePrograms"
+        ],
+        "location": {},
+        "name": "DirectoriesPackagePrograms",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DirectoryContents"
+        ],
+        "location": {},
+        "name": "DirectoryContents",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DirectoryDesktop"
+        ],
+        "location": {},
+        "name": "DirectoryDesktop",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DirectoryHome"
+        ],
+        "location": {},
+        "name": "DirectoryHome",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DisableAttributeValueStoring"
+        ],
+        "location": {},
+        "name": "DisableAttributeValueStoring",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DisplayCompositionSeries"
+        ],
+        "location": {},
+        "name": "DisplayCompositionSeries",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DisplayEggBoxOfDClass"
+        ],
+        "location": {},
+        "name": "DisplayEggBoxOfDClass",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DisplayImfInvariants"
+        ],
+        "location": {},
+        "name": "DisplayImfInvariants",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DisplayImfReps"
+        ],
+        "location": {},
+        "name": "DisplayImfReps",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DisplayInformationPerfectGroups"
+        ],
+        "location": {},
+        "name": "DisplayInformationPerfectGroups",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DisplayOptionsStack"
+        ],
+        "location": {},
+        "name": "DisplayOptionsStack",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DisplayPackageLoadingLog"
+        ],
+        "location": {},
+        "name": "DisplayPackageLoadingLog",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DisplayXMLStructure"
+        ],
+        "location": {},
+        "name": "DisplayXMLStructure",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DivisorsInt"
+        ],
+        "location": {},
+        "name": "DivisorsInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DixonInit"
+        ],
+        "location": {},
+        "name": "DixonInit",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DixonSplit"
+        ],
+        "location": {},
+        "name": "DixonSplit",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DixontinI"
+        ],
+        "location": {},
+        "name": "DixontinI",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DnLattice"
+        ],
+        "location": {},
+        "name": "DnLattice",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DnLatticeIterative"
+        ],
+        "location": {},
+        "name": "DnLatticeIterative",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DoExponentsConjLayerFampcgs"
+        ],
+        "location": {},
+        "name": "DoExponentsConjLayerFampcgs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DoLogModRho"
+        ],
+        "location": {},
+        "name": "DoLogModRho",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "DoMaxesTF",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DoSparseActionHomomorphism"
+        ],
+        "location": {},
+        "name": "DoSparseActionHomomorphism",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Domain"
+        ],
+        "location": {},
+        "name": "Domain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DotFileLatticeSubgroups"
+        ],
+        "location": {},
+        "name": "DotFileLatticeSubgroups",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DoubleCosets"
+        ],
+        "location": {},
+        "name": "DoubleCosets",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DoubleHashArraySize",
+            "DoubleHashDictSize"
+        ],
+        "location": {},
+        "name": "DoubleHashDictSize",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DualGModule"
+        ],
+        "location": {},
+        "name": "DualGModule",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DxDegreeCandidates"
+        ],
+        "location": {},
+        "name": "DxDegreeCandidates",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DxIncludeIrreducibles"
+        ],
+        "location": {},
+        "name": "DxIncludeIrreducibles",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DxModularValuePol"
+        ],
+        "location": {},
+        "name": "DxModularValuePol",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "DxSplitDegree"
+        ],
+        "location": {},
+        "name": "DxSplitDegree",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EAPrimeLayerSQ"
+        ],
+        "location": {},
+        "name": "EAPrimeLayerSQ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EB"
+        ],
+        "location": {},
+        "name": "EB",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EC"
+        ],
+        "location": {},
+        "name": "EC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ED"
+        ],
+        "location": {},
+        "name": "ED",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EE"
+        ],
+        "location": {},
+        "name": "EE",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EF"
+        ],
+        "location": {},
+        "name": "EF",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EG"
+        ],
+        "location": {},
+        "name": "EG",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EH"
+        ],
+        "location": {},
+        "name": "EH",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EI"
+        ],
+        "location": {},
+        "name": "EI",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EJ"
+        ],
+        "location": {},
+        "name": "EJ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EK"
+        ],
+        "location": {},
+        "name": "EK",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EL"
+        ],
+        "location": {},
+        "name": "EL",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EM"
+        ],
+        "location": {},
+        "name": "EM",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "ER",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ERepAssWorInv"
+        ],
+        "location": {},
+        "name": "ERepAssWorInv",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ERepAssWorProd"
+        ],
+        "location": {},
+        "name": "ERepAssWorProd",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ES"
+        ],
+        "location": {},
+        "name": "ES",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ET"
+        ],
+        "location": {},
+        "name": "ET",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EU"
+        ],
+        "location": {},
+        "name": "EU",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EV"
+        ],
+        "location": {},
+        "name": "EV",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EW"
+        ],
+        "location": {},
+        "name": "EW",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EX"
+        ],
+        "location": {},
+        "name": "EX",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EXPermutationActionPairs"
+        ],
+        "location": {},
+        "name": "EXPermutationActionPairs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EXReducePermutationActionPairs"
+        ],
+        "location": {},
+        "name": "EXReducePermutationActionPairs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EY"
+        ],
+        "location": {},
+        "name": "EY",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Edit"
+        ],
+        "location": {},
+        "name": "Edit",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ElementOrdersPowerMap"
+        ],
+        "location": {},
+        "name": "ElementOrdersPowerMap",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ElementProperty"
+        ],
+        "location": {},
+        "name": "ElementProperty",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ElementaryDivisorsMatDestructive"
+        ],
+        "location": {},
+        "name": "ElementaryDivisorsMatDestructive",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ElementaryDivisorsTransformationsMatDestructive"
+        ],
+        "location": {},
+        "name": "ElementaryDivisorsTransformationsMatDestructive",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Elements"
+        ],
+        "location": {},
+        "name": "Elements",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ElementsStabChain"
+        ],
+        "location": {},
+        "name": "ElementsStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EliminationOrdering"
+        ],
+        "location": {},
+        "name": "EliminationOrdering",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EmbedAutomorphisms"
+        ],
+        "location": {},
+        "name": "EmbedAutomorphisms",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EmbedFullAutomorphismWreath"
+        ],
+        "location": {},
+        "name": "EmbedFullAutomorphismWreath",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EmbeddingWreathInWreath"
+        ],
+        "location": {},
+        "name": "EmbeddingWreathInWreath",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EmptyBinaryRelation"
+        ],
+        "location": {},
+        "name": "EmptyBinaryRelation",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EmptyMatrix"
+        ],
+        "location": {},
+        "name": "EmptyMatrix",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EmptyRBase"
+        ],
+        "location": {},
+        "name": "EmptyRBase",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EmptySCTable"
+        ],
+        "location": {},
+        "name": "EmptySCTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EmptyStabChain"
+        ],
+        "location": {},
+        "name": "EmptyStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EnableAttributeValueStoring"
+        ],
+        "location": {},
+        "name": "EnableAttributeValueStoring",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EndsWith"
+        ],
+        "location": {},
+        "name": "EndsWith",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EnumeratorByFunctions"
+        ],
+        "location": {},
+        "name": "EnumeratorByFunctions",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EnumeratorOfCartesianProduct"
+        ],
+        "location": {},
+        "name": "EnumeratorOfCartesianProduct",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EnumeratorOfCombinations"
+        ],
+        "location": {},
+        "name": "EnumeratorOfCombinations",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EnumeratorOfSemigroupIdeal"
+        ],
+        "location": {},
+        "name": "EnumeratorOfSemigroupIdeal",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EnumeratorOfSubset"
+        ],
+        "location": {},
+        "name": "EnumeratorOfSubset",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EnumeratorOfTuples"
+        ],
+        "location": {},
+        "name": "EnumeratorOfTuples",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "EnumeratorOfZmodnZ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EpimorphismFromClassical"
+        ],
+        "location": {},
+        "name": "EpimorphismFromClassical",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EpimorphismNilpotentQuotient"
+        ],
+        "location": {},
+        "name": "EpimorphismNilpotentQuotient",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EpimorphismSolubleQuotient",
+            "EpimorphismSolvableQuotient"
+        ],
+        "location": {},
+        "name": "EpimorphismSolvableQuotient",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EquivalenceRelationByPairs"
+        ],
+        "location": {},
+        "name": "EquivalenceRelationByPairs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EquivalenceRelationByPairsNC"
+        ],
+        "location": {},
+        "name": "EquivalenceRelationByPairsNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EquivalenceRelationByPartition"
+        ],
+        "location": {},
+        "name": "EquivalenceRelationByPartition",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EquivalenceRelationByPartitionNC"
+        ],
+        "location": {},
+        "name": "EquivalenceRelationByPartitionNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EquivalenceRelationByProperty"
+        ],
+        "location": {},
+        "name": "EquivalenceRelationByProperty",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EquivalenceRelationByRelation"
+        ],
+        "location": {},
+        "name": "EquivalenceRelationByRelation",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EquivalenceType"
+        ],
+        "location": {},
+        "name": "EquivalenceType",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EraseNaturalHomomorphismsPool"
+        ],
+        "location": {},
+        "name": "EraseNaturalHomomorphismsPool",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EvalStraightLineProgElm"
+        ],
+        "location": {},
+        "name": "EvalStraightLineProgElm",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "EvalString"
+        ],
+        "location": {},
+        "name": "EvalString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ExactSizeConsiderFunction"
+        ],
+        "location": {},
+        "name": "ExactSizeConsiderFunction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ExcludedOrders"
+        ],
+        "location": {},
+        "name": "ExcludedOrders",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Exec"
+        ],
+        "location": {},
+        "name": "Exec",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ExponentsOfPcElementPermGroup"
+        ],
+        "location": {},
+        "name": "ExponentsOfPcElementPermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ExtendRepresentation"
+        ],
+        "location": {},
+        "name": "ExtendRepresentation",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ExtendRootDirectories"
+        ],
+        "location": {},
+        "name": "ExtendRootDirectories",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ExtendSeriesPermGroup"
+        ],
+        "location": {},
+        "name": "ExtendSeriesPermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ExtendStabChain"
+        ],
+        "location": {},
+        "name": "ExtendStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ExtendSubgroupsOfNormal"
+        ],
+        "location": {},
+        "name": "ExtendSubgroupsOfNormal",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ExtendedT"
+        ],
+        "location": {},
+        "name": "ExtendedT",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ExtensionOnBlocks"
+        ],
+        "location": {},
+        "name": "ExtensionOnBlocks",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ExtensionSQ"
+        ],
+        "location": {},
+        "name": "ExtensionSQ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ExtensionsOfModule"
+        ],
+        "location": {},
+        "name": "ExtensionsOfModule",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ExternalSetByFilterConstructor"
+        ],
+        "location": {},
+        "name": "ExternalSetByFilterConstructor",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ExternalSetByTypeConstructor"
+        ],
+        "location": {},
+        "name": "ExternalSetByTypeConstructor",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Extract"
+        ],
+        "location": {},
+        "name": "Extract",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ExtractExamples"
+        ],
+        "location": {},
+        "name": "ExtractExamples",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ExtractExamplesXMLTree"
+        ],
+        "location": {},
+        "name": "ExtractExamplesXMLTree",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FFEFamily"
+        ],
+        "location": {},
+        "name": "FFEFamily",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FFPFactors"
+        ],
+        "location": {},
+        "name": "FFPFactors",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FFPOrderKnownDividend"
+        ],
+        "location": {},
+        "name": "FFPOrderKnownDividend",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FILLED_LINE"
+        ],
+        "location": {},
+        "name": "FILLED_LINE",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Algebra",
+            "FLMLOR"
+        ],
+        "location": {},
+        "name": "FLMLOR",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "AlgebraWithOne",
+            "FLMLORWithOne"
+        ],
+        "location": {},
+        "name": "FLMLORWithOne",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FactorFreeAlgebraByRelators"
+        ],
+        "location": {},
+        "name": "FactorFreeAlgebraByRelators",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FactorFreeMonoidByRelations"
+        ],
+        "location": {},
+        "name": "FactorFreeMonoidByRelations",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FactorFreeSemigroupByRelations"
+        ],
+        "location": {},
+        "name": "FactorFreeSemigroupByRelations",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "FactorGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FactorGroupFpGroupByRels"
+        ],
+        "location": {},
+        "name": "FactorGroupFpGroupByRels",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FactorGroupNormalSubgroupClasses"
+        ],
+        "location": {},
+        "name": "FactorGroupNormalSubgroupClasses",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Factorial"
+        ],
+        "location": {},
+        "name": "Factorial",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FactorsCommonDegreePol"
+        ],
+        "location": {},
+        "name": "FactorsCommonDegreePol",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FactorsInt"
+        ],
+        "location": {},
+        "name": "FactorsInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FamiliesOfRows"
+        ],
+        "location": {},
+        "name": "FamiliesOfRows",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Fibonacci"
+        ],
+        "location": {},
+        "name": "Fibonacci",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FibonacciGroup"
+        ],
+        "location": {},
+        "name": "FibonacciGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Field"
+        ],
+        "location": {},
+        "name": "Field",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FileString"
+        ],
+        "location": {},
+        "name": "FileString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FilterByName"
+        ],
+        "location": {},
+        "name": "FilterByName",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Filtered"
+        ],
+        "location": {},
+        "name": "Filtered",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FindNormalCSPG"
+        ],
+        "location": {},
+        "name": "FindNormalCSPG",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FindRegularNormalCSPG"
+        ],
+        "location": {},
+        "name": "FindRegularNormalCSPG",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FindSl2"
+        ],
+        "location": {},
+        "name": "FindSl2",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FindWindowId"
+        ],
+        "location": {},
+        "name": "FindWindowId",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "First"
+        ],
+        "location": {},
+        "name": "First",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FittingFreeElementarySeries"
+        ],
+        "location": {},
+        "name": "FittingFreeElementarySeries",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FittingFreeSubgroupSetup"
+        ],
+        "location": {},
+        "name": "FittingFreeSubgroupSetup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FixChunkedBody"
+        ],
+        "location": {},
+        "name": "FixChunkedBody",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FixcellPoint"
+        ],
+        "location": {},
+        "name": "FixcellPoint",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Fixcells"
+        ],
+        "location": {},
+        "name": "Fixcells",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FixcellsCell"
+        ],
+        "location": {},
+        "name": "FixcellsCell",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FixpointCellNo"
+        ],
+        "location": {},
+        "name": "FixpointCellNo",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FlatBlockMat"
+        ],
+        "location": {},
+        "name": "FlatBlockMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Float"
+        ],
+        "location": {},
+        "name": "Float",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ForAll"
+        ],
+        "location": {},
+        "name": "ForAll",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ForAny"
+        ],
+        "location": {},
+        "name": "ForAny",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FormatParagraph"
+        ],
+        "location": {},
+        "name": "FormatParagraph",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FpAlgebraByGeneralizedCartanMatrix"
+        ],
+        "location": {},
+        "name": "FpAlgebraByGeneralizedCartanMatrix",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FpGroupPcGroupSQ"
+        ],
+        "location": {},
+        "name": "FpGroupPcGroupSQ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FpGroupPresentation"
+        ],
+        "location": {},
+        "name": "FpGroupPresentation",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FpLieAlgebraByCartanMatrix"
+        ],
+        "location": {},
+        "name": "FpLieAlgebraByCartanMatrix",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FpLieAlgebraEnumeration"
+        ],
+        "location": {},
+        "name": "FpLieAlgebraEnumeration",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FpOfModules"
+        ],
+        "location": {},
+        "name": "FpOfModules",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FreeAlgebra"
+        ],
+        "location": {},
+        "name": "FreeAlgebra",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FreeAlgebraWithOne"
+        ],
+        "location": {},
+        "name": "FreeAlgebraWithOne",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FreeAssociativeAlgebra"
+        ],
+        "location": {},
+        "name": "FreeAssociativeAlgebra",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FreeAssociativeAlgebraWithOne"
+        ],
+        "location": {},
+        "name": "FreeAssociativeAlgebraWithOne",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FreeGroup"
+        ],
+        "location": {},
+        "name": "FreeGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FreeLeftModule"
+        ],
+        "location": {},
+        "name": "FreeLeftModule",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FreeLieAlgebra"
+        ],
+        "location": {},
+        "name": "FreeLieAlgebra",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FreeMagma"
+        ],
+        "location": {},
+        "name": "FreeMagma",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FreeMagmaRing"
+        ],
+        "location": {},
+        "name": "FreeMagmaRing",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FreeMagmaWithOne"
+        ],
+        "location": {},
+        "name": "FreeMagmaWithOne",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FreeMonoid"
+        ],
+        "location": {},
+        "name": "FreeMonoid",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FreeProduct"
+        ],
+        "location": {},
+        "name": "FreeProduct",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FreeSemigroup"
+        ],
+        "location": {},
+        "name": "FreeSemigroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FrobeniusCharacterValue"
+        ],
+        "location": {},
+        "name": "FrobeniusCharacterValue",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FullMatrixAlgebraCentraliser",
+            "FullMatrixAlgebraCentralizer"
+        ],
+        "location": {},
+        "name": "FullMatrixAlgebraCentralizer",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FullMatrixAlgebra",
+            "FullMatrixFLMLOR",
+            "MatAlgebra",
+            "MatrixAlgebra"
+        ],
+        "location": {},
+        "name": "FullMatrixFLMLOR",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FullMatrixLieAlgebra",
+            "FullMatrixLieFLMLOR",
+            "MatLieAlgebra",
+            "MatrixLieAlgebra"
+        ],
+        "location": {},
+        "name": "FullMatrixLieFLMLOR",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FullMatrixModule",
+            "FullMatrixSpace",
+            "MatSpace",
+            "MatrixSpace"
+        ],
+        "location": {},
+        "name": "FullMatrixModule",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "FullRowModule",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FullTransformationMonoid",
+            "FullTransformationSemigroup"
+        ],
+        "location": {},
+        "name": "FullTransformationSemigroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FusionRationalClassesPSubgroup"
+        ],
+        "location": {},
+        "name": "FusionRationalClassesPSubgroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FusionsAllowedByRestrictions"
+        ],
+        "location": {},
+        "name": "FusionsAllowedByRestrictions",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GAPDoc2HTML"
+        ],
+        "location": {},
+        "name": "GAPDoc2HTML",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GAPDoc2HTMLPrintHTMLFiles"
+        ],
+        "location": {},
+        "name": "GAPDoc2HTMLPrintHTMLFiles",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GAPDoc2LaTeX"
+        ],
+        "location": {},
+        "name": "GAPDoc2LaTeX",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GAPDoc2Text"
+        ],
+        "location": {},
+        "name": "GAPDoc2Text",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GAPDoc2TextPrintTextFiles"
+        ],
+        "location": {},
+        "name": "GAPDoc2TextPrintTextFiles",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GAPDocManualLab"
+        ],
+        "location": {},
+        "name": "GAPDocManualLab",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GAPDocManualLabFromSixFile"
+        ],
+        "location": {},
+        "name": "GAPDocManualLabFromSixFile",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GModuleByMats"
+        ],
+        "location": {},
+        "name": "GModuleByMats",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GaloisConjugates"
+        ],
+        "location": {},
+        "name": "GaloisConjugates",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GaloisDiffResolvent"
+        ],
+        "location": {},
+        "name": "GaloisDiffResolvent",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "FiniteField",
+            "GF",
+            "GaloisField"
+        ],
+        "location": {},
+        "name": "GaloisField",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GaloisSetResolvent"
+        ],
+        "location": {},
+        "name": "GaloisSetResolvent",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Gap3CatalogueGroup"
+        ],
+        "location": {},
+        "name": "Gap3CatalogueGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GapInputPcGroup"
+        ],
+        "location": {},
+        "name": "GapInputPcGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GapInputSCTable"
+        ],
+        "location": {},
+        "name": "GapInputSCTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GapLibToc2Gap"
+        ],
+        "location": {},
+        "name": "GapLibToc2Gap",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GapToJsonStream"
+        ],
+        "location": {},
+        "name": "GapToJsonStream",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GapToJsonString"
+        ],
+        "location": {},
+        "name": "GapToJsonString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GasmanLimits"
+        ],
+        "location": {},
+        "name": "GasmanLimits",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GasmanMessageStatus"
+        ],
+        "location": {},
+        "name": "GasmanMessageStatus",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GasmanStatistics"
+        ],
+        "location": {},
+        "name": "GasmanStatistics",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GaussianCoefficient"
+        ],
+        "location": {},
+        "name": "GaussianCoefficient",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Gcd"
+        ],
+        "location": {},
+        "name": "Gcd",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GcdCoeffs"
+        ],
+        "location": {},
+        "name": "GcdCoeffs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GcdRepresentation"
+        ],
+        "location": {},
+        "name": "GcdRepresentation",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Gcdex"
+        ],
+        "location": {},
+        "name": "Gcdex",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GeneralMappingByElements"
+        ],
+        "location": {},
+        "name": "GeneralMappingByElements",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GeneralMappingsFamily"
+        ],
+        "location": {},
+        "name": "GeneralMappingsFamily",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GeneralRestrictedMapping"
+        ],
+        "location": {},
+        "name": "GeneralRestrictedMapping",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GeneralStepClEANS"
+        ],
+        "location": {},
+        "name": "GeneralStepClEANS",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GeneratorTranslationAugmentedCosetTable"
+        ],
+        "location": {},
+        "name": "GeneratorTranslationAugmentedCosetTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GeneratorsCenterPGroup",
+            "GeneratorsCentrePGroup"
+        ],
+        "location": {},
+        "name": "GeneratorsCentrePGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GeneratorsOfPresentation"
+        ],
+        "location": {},
+        "name": "GeneratorsOfPresentation",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GeneratorsOfReesMatrixSemigroupNC"
+        ],
+        "location": {},
+        "name": "GeneratorsOfReesMatrixSemigroupNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GeneratorsOfReesZeroMatrixSemigroupNC"
+        ],
+        "location": {},
+        "name": "GeneratorsOfReesZeroMatrixSemigroupNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GeneratorsPrimeResidues"
+        ],
+        "location": {},
+        "name": "GeneratorsPrimeResidues",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GeneratorsSmallestStab"
+        ],
+        "location": {},
+        "name": "GeneratorsSmallestStab",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GeneratorsWithMemory"
+        ],
+        "location": {},
+        "name": "GeneratorsWithMemory",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GetETag"
+        ],
+        "location": {},
+        "name": "GetETag",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GetElement"
+        ],
+        "location": {},
+        "name": "GetElement",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GetEnt"
+        ],
+        "location": {},
+        "name": "GetEnt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GetFusionMap"
+        ],
+        "location": {},
+        "name": "GetFusionMap",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GetNaturalHomomorphismsPool"
+        ],
+        "location": {},
+        "name": "GetNaturalHomomorphismsPool",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GetSTag"
+        ],
+        "location": {},
+        "name": "GetSTag",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GetTextXMLTree"
+        ],
+        "location": {},
+        "name": "GetTextXMLTree",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GroebnerBasisNC"
+        ],
+        "location": {},
+        "name": "GroebnerBasisNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Group"
+        ],
+        "location": {},
+        "name": "Group",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GroupByMultiplicationTable"
+        ],
+        "location": {},
+        "name": "GroupByMultiplicationTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GroupByPrimeResidues"
+        ],
+        "location": {},
+        "name": "GroupByPrimeResidues",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "GroupEnumeratorByClosure",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GroupHomomorphismByFunction"
+        ],
+        "location": {},
+        "name": "GroupHomomorphismByFunction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GroupHomomorphismByImages"
+        ],
+        "location": {},
+        "name": "GroupHomomorphismByImages",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GroupOnSubgroupsOrbit"
+        ],
+        "location": {},
+        "name": "GroupOnSubgroupsOrbit",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GroupRing"
+        ],
+        "location": {},
+        "name": "GroupRing",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GroupStabChain"
+        ],
+        "location": {},
+        "name": "GroupStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GroupToAdditiveGroupHomomorphismByFunction"
+        ],
+        "location": {},
+        "name": "GroupToAdditiveGroupHomomorphismByFunction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "GroupWithMemory"
+        ],
+        "location": {},
+        "name": "GroupWithMemory",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "Group_PseudoRandom",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP"
+        ],
+        "location": {},
+        "name": "HELP",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_ADD_BOOK"
+        ],
+        "location": {},
+        "name": "HELP_ADD_BOOK",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_BOOK_INFO"
+        ],
+        "location": {},
+        "name": "HELP_BOOK_INFO",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_CHAPTER_INFO"
+        ],
+        "location": {},
+        "name": "HELP_CHAPTER_INFO",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_GET_MATCHES"
+        ],
+        "location": {},
+        "name": "HELP_GET_MATCHES",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_LAB_FILE"
+        ],
+        "location": {},
+        "name": "HELP_LAB_FILE",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_PRINT_MATCH"
+        ],
+        "location": {},
+        "name": "HELP_PRINT_MATCH",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_PRINT_SECTION_MAC_IC_URL"
+        ],
+        "location": {},
+        "name": "HELP_PRINT_SECTION_MAC_IC_URL",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_PRINT_SECTION_TEXT"
+        ],
+        "location": {},
+        "name": "HELP_PRINT_SECTION_TEXT",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_PRINT_SECTION_URL"
+        ],
+        "location": {},
+        "name": "HELP_PRINT_SECTION_URL",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_REMOVE_BOOK"
+        ],
+        "location": {},
+        "name": "HELP_REMOVE_BOOK",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_SHOW_BOOKS"
+        ],
+        "location": {},
+        "name": "HELP_SHOW_BOOKS",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_SHOW_CHAPTERS"
+        ],
+        "location": {},
+        "name": "HELP_SHOW_CHAPTERS",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_SHOW_FROM_LAST_TOPICS"
+        ],
+        "location": {},
+        "name": "HELP_SHOW_FROM_LAST_TOPICS",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_SHOW_MATCHES"
+        ],
+        "location": {},
+        "name": "HELP_SHOW_MATCHES",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_SHOW_NEXT"
+        ],
+        "location": {},
+        "name": "HELP_SHOW_NEXT",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_SHOW_NEXT_CHAPTER"
+        ],
+        "location": {},
+        "name": "HELP_SHOW_NEXT_CHAPTER",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_SHOW_PREV"
+        ],
+        "location": {},
+        "name": "HELP_SHOW_PREV",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_SHOW_PREV_CHAPTER"
+        ],
+        "location": {},
+        "name": "HELP_SHOW_PREV_CHAPTER",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_SHOW_SECTIONS"
+        ],
+        "location": {},
+        "name": "HELP_SHOW_SECTIONS",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HELP_SHOW_WELCOME"
+        ],
+        "location": {},
+        "name": "HELP_SHOW_WELCOME",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HMSMSec"
+        ],
+        "location": {},
+        "name": "HMSMSec",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HTTPRequest"
+        ],
+        "location": {},
+        "name": "HTTPRequest",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HallViaRadical"
+        ],
+        "location": {},
+        "name": "HallViaRadical",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HasAbelianFactorGroup"
+        ],
+        "location": {},
+        "name": "HasAbelianFactorGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HasElementaryAbelianFactorGroup"
+        ],
+        "location": {},
+        "name": "HasElementaryAbelianFactorGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HasSolvableFactorGroup"
+        ],
+        "location": {},
+        "name": "HasSolvableFactorGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HenselBound"
+        ],
+        "location": {},
+        "name": "HenselBound",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HeuGcdIntPolsCoeffs"
+        ],
+        "location": {},
+        "name": "HeuGcdIntPolsCoeffs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HeuGcdIntPolsExtRep"
+        ],
+        "location": {},
+        "name": "HeuGcdIntPolsExtRep",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HexStringBlist"
+        ],
+        "location": {},
+        "name": "HexStringBlist",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HexStringBlistEncode"
+        ],
+        "location": {},
+        "name": "HexStringBlistEncode",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HideGlobalVariables"
+        ],
+        "location": {},
+        "name": "HideGlobalVariables",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HomomorphismQuotientSemigroup"
+        ],
+        "location": {},
+        "name": "HomomorphismQuotientSemigroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ID_AVAILABLE"
+        ],
+        "location": {},
+        "name": "ID_AVAILABLE",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IMFLoad"
+        ],
+        "location": {},
+        "name": "IMFLoad",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IMMUTABILITY_LEVEL2"
+        ],
+        "location": {},
+        "name": "IMMUTABILITY_LEVEL2",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_AddToPickled"
+        ],
+        "location": {},
+        "name": "IO_AddToPickled",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_AddToUnpickled"
+        ],
+        "location": {},
+        "name": "IO_AddToUnpickled",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_ClearPickleCache"
+        ],
+        "location": {},
+        "name": "IO_ClearPickleCache",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_Close"
+        ],
+        "location": {},
+        "name": "IO_Close",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_CloseAllFDs"
+        ],
+        "location": {},
+        "name": "IO_CloseAllFDs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_CompressedFile"
+        ],
+        "location": {},
+        "name": "IO_CompressedFile",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_Environment"
+        ],
+        "location": {},
+        "name": "IO_Environment",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_File"
+        ],
+        "location": {},
+        "name": "IO_File",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_FileFilterString"
+        ],
+        "location": {},
+        "name": "IO_FileFilterString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_FilteredFile"
+        ],
+        "location": {},
+        "name": "IO_FilteredFile",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_FinalizePickled"
+        ],
+        "location": {},
+        "name": "IO_FinalizePickled",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_FinalizeUnpickled"
+        ],
+        "location": {},
+        "name": "IO_FinalizeUnpickled",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_FindExecutable"
+        ],
+        "location": {},
+        "name": "IO_FindExecutable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_Flush"
+        ],
+        "location": {},
+        "name": "IO_Flush",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_FlushNonBlocking"
+        ],
+        "location": {},
+        "name": "IO_FlushNonBlocking",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_ForkExecWithFDs"
+        ],
+        "location": {},
+        "name": "IO_ForkExecWithFDs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_GenericObjectPickler"
+        ],
+        "location": {},
+        "name": "IO_GenericObjectPickler",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_GenericObjectUnpickler"
+        ],
+        "location": {},
+        "name": "IO_GenericObjectUnpickler",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_GetFD"
+        ],
+        "location": {},
+        "name": "IO_GetFD",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_GetWBuf"
+        ],
+        "location": {},
+        "name": "IO_GetWBuf",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_HasData"
+        ],
+        "location": {},
+        "name": "IO_HasData",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_IsAlreadyPickled"
+        ],
+        "location": {},
+        "name": "IO_IsAlreadyPickled",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_ListDir"
+        ],
+        "location": {},
+        "name": "IO_ListDir",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_MakeEnvList"
+        ],
+        "location": {},
+        "name": "IO_MakeEnvList",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_MakeIPAddressPort"
+        ],
+        "location": {},
+        "name": "IO_MakeIPAddressPort",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_PickleByString"
+        ],
+        "location": {},
+        "name": "IO_PickleByString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_PipeThrough"
+        ],
+        "location": {},
+        "name": "IO_PipeThrough",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_PipeThroughWithError"
+        ],
+        "location": {},
+        "name": "IO_PipeThroughWithError",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_Popen"
+        ],
+        "location": {},
+        "name": "IO_Popen",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_Popen2"
+        ],
+        "location": {},
+        "name": "IO_Popen2",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_Popen3"
+        ],
+        "location": {},
+        "name": "IO_Popen3",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_Read"
+        ],
+        "location": {},
+        "name": "IO_Read",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_ReadAttribute"
+        ],
+        "location": {},
+        "name": "IO_ReadAttribute",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_ReadBlock"
+        ],
+        "location": {},
+        "name": "IO_ReadBlock",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_ReadLine"
+        ],
+        "location": {},
+        "name": "IO_ReadLine",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_ReadLines"
+        ],
+        "location": {},
+        "name": "IO_ReadLines",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_ReadSmallInt"
+        ],
+        "location": {},
+        "name": "IO_ReadSmallInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_ReadUntilEOF"
+        ],
+        "location": {},
+        "name": "IO_ReadUntilEOF",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_ReadyForFlush"
+        ],
+        "location": {},
+        "name": "IO_ReadyForFlush",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_ReadyForWrite"
+        ],
+        "location": {},
+        "name": "IO_ReadyForWrite",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_Select"
+        ],
+        "location": {},
+        "name": "IO_Select",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_SendStringBackground"
+        ],
+        "location": {},
+        "name": "IO_SendStringBackground",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_StartPipeline"
+        ],
+        "location": {},
+        "name": "IO_StartPipeline",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_StringFilterFile"
+        ],
+        "location": {},
+        "name": "IO_StringFilterFile",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_UnpickleByEvalString"
+        ],
+        "location": {},
+        "name": "IO_UnpickleByEvalString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_UnpickleByFunction"
+        ],
+        "location": {},
+        "name": "IO_UnpickleByFunction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_WrapFD"
+        ],
+        "location": {},
+        "name": "IO_WrapFD",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_Write"
+        ],
+        "location": {},
+        "name": "IO_Write",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_WriteAttribute"
+        ],
+        "location": {},
+        "name": "IO_WriteAttribute",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_WriteFlush"
+        ],
+        "location": {},
+        "name": "IO_WriteFlush",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_WriteLine"
+        ],
+        "location": {},
+        "name": "IO_WriteLine",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_WriteLines"
+        ],
+        "location": {},
+        "name": "IO_WriteLines",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_WriteNonBlocking"
+        ],
+        "location": {},
+        "name": "IO_WriteNonBlocking",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IO_WriteSmallInt"
+        ],
+        "location": {},
+        "name": "IO_WriteSmallInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IdStandardPresented512Group"
+        ],
+        "location": {},
+        "name": "IdStandardPresented512Group",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IdentityBinaryRelation"
+        ],
+        "location": {},
+        "name": "IdentityBinaryRelation",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IdentityFromSCTable"
+        ],
+        "location": {},
+        "name": "IdentityFromSCTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IdentityMat"
+        ],
+        "location": {},
+        "name": "IdentityMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Image"
+        ],
+        "location": {},
+        "name": "Image",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "ImageElmActionHomomorphism",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ImageInWord"
+        ],
+        "location": {},
+        "name": "ImageInWord",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ImageKernelBlocksHomomorphism"
+        ],
+        "location": {},
+        "name": "ImageKernelBlocksHomomorphism",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ImageOnAbelianCSPG"
+        ],
+        "location": {},
+        "name": "ImageOnAbelianCSPG",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ImageSiftedBaseImage"
+        ],
+        "location": {},
+        "name": "ImageSiftedBaseImage",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Images"
+        ],
+        "location": {},
+        "name": "Images",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "ImagesRepresentativeGMBIByElementsList",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ImfInvariants"
+        ],
+        "location": {},
+        "name": "ImfInvariants",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ImfMatrixGroup"
+        ],
+        "location": {},
+        "name": "ImfMatrixGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ImfNumberQClasses"
+        ],
+        "location": {},
+        "name": "ImfNumberQClasses",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ImfNumberQQClasses"
+        ],
+        "location": {},
+        "name": "ImfNumberQQClasses",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ImfNumberZClasses"
+        ],
+        "location": {},
+        "name": "ImfNumberZClasses",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ImfPositionNumber"
+        ],
+        "location": {},
+        "name": "ImfPositionNumber",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ImproveActionDegreeByBlocks",
+            "ImproveOperationDegreeByBlocks"
+        ],
+        "location": {},
+        "name": "ImproveActionDegreeByBlocks",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ImproveMaps"
+        ],
+        "location": {},
+        "name": "ImproveMaps",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IndependentGeneratorsAbelianPPermGroup"
+        ],
+        "location": {},
+        "name": "IndependentGeneratorsAbelianPPermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Indeterminateness"
+        ],
+        "location": {},
+        "name": "Indeterminateness",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IndeterminatenessInfo"
+        ],
+        "location": {},
+        "name": "IndeterminatenessInfo",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IndexCosetTab"
+        ],
+        "location": {},
+        "name": "IndexCosetTab",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IndicesStabChain"
+        ],
+        "location": {},
+        "name": "IndicesStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Indirected"
+        ],
+        "location": {},
+        "name": "Indirected",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InducedAutomorphism"
+        ],
+        "location": {},
+        "name": "InducedAutomorphism",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "InducedClassFunctionsByFusionMap",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InducedGModule"
+        ],
+        "location": {},
+        "name": "InducedGModule",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InducedLinearAction"
+        ],
+        "location": {},
+        "name": "InducedLinearAction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InducedModule"
+        ],
+        "location": {},
+        "name": "InducedModule",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InducedModuleByFieldReduction"
+        ],
+        "location": {},
+        "name": "InducedModuleByFieldReduction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InducedRepresentation"
+        ],
+        "location": {},
+        "name": "InducedRepresentation",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InducedRepresentationImagesRepresentative"
+        ],
+        "location": {},
+        "name": "InducedRepresentationImagesRepresentative",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InductionScheme"
+        ],
+        "location": {},
+        "name": "InductionScheme",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InfiniteListOfGenerators"
+        ],
+        "location": {},
+        "name": "InfiniteListOfGenerators",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InfiniteListOfNames"
+        ],
+        "location": {},
+        "name": "InfiniteListOfNames",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InitAbsAndIrredModules"
+        ],
+        "location": {},
+        "name": "InitAbsAndIrredModules",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InitEpimorphismSQ"
+        ],
+        "location": {},
+        "name": "InitEpimorphismSQ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InitFusion"
+        ],
+        "location": {},
+        "name": "InitFusion",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InitPowerMap"
+        ],
+        "location": {},
+        "name": "InitPowerMap",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InitializePackagesInfoRecords"
+        ],
+        "location": {},
+        "name": "InitializePackagesInfoRecords",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InitializeSchreierTree"
+        ],
+        "location": {},
+        "name": "InitializeSchreierTree",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InnerAutomorphism"
+        ],
+        "location": {},
+        "name": "InnerAutomorphism",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InnerSubdirectProducts"
+        ],
+        "location": {},
+        "name": "InnerSubdirectProducts",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InnerSubdirectProducts2"
+        ],
+        "location": {},
+        "name": "InnerSubdirectProducts2",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InputFromUser"
+        ],
+        "location": {},
+        "name": "InputFromUser",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InputOutputLocalProcess"
+        ],
+        "location": {},
+        "name": "InputOutputLocalProcess",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InputTextNone"
+        ],
+        "location": {},
+        "name": "InputTextNone",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InputTextUser"
+        ],
+        "location": {},
+        "name": "InputTextUser",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InsertElmList"
+        ],
+        "location": {},
+        "name": "InsertElmList",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InsertTrivialStabiliser",
+            "InsertTrivialStabilizer"
+        ],
+        "location": {},
+        "name": "InsertTrivialStabilizer",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InstallAccessToGenerators"
+        ],
+        "location": {},
+        "name": "InstallAccessToGenerators",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InstallCharReadHookFunc"
+        ],
+        "location": {},
+        "name": "InstallCharReadHookFunc",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InstallHandlingByNiceBasis"
+        ],
+        "location": {},
+        "name": "InstallHandlingByNiceBasis",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InstalledPackageVersion"
+        ],
+        "location": {},
+        "name": "InstalledPackageVersion",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IntListUnicodeString"
+        ],
+        "location": {},
+        "name": "IntListUnicodeString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IntScalarProducts"
+        ],
+        "location": {},
+        "name": "IntScalarProducts",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HashFunct",
+            "IntegerHashFunction"
+        ],
+        "location": {},
+        "name": "IntegerHashFunction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IntegralizedMat"
+        ],
+        "location": {},
+        "name": "IntegralizedMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IntegratedStraightLineProgram"
+        ],
+        "location": {},
+        "name": "IntegratedStraightLineProgram",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IntermediateGroup"
+        ],
+        "location": {},
+        "name": "IntermediateGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IntermediateResultOfSLP"
+        ],
+        "location": {},
+        "name": "IntermediateResultOfSLP",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IntermediateResultOfSLPWithoutOverwrite"
+        ],
+        "location": {},
+        "name": "IntermediateResultOfSLPWithoutOverwrite",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IntermediateResultsOfSLPWithoutOverwrite"
+        ],
+        "location": {},
+        "name": "IntermediateResultsOfSLPWithoutOverwrite",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IntermediateResultsOfSLPWithoutOverwriteInner"
+        ],
+        "location": {},
+        "name": "IntermediateResultsOfSLPWithoutOverwriteInner",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Intersection"
+        ],
+        "location": {},
+        "name": "Intersection",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Intersection2Spaces"
+        ],
+        "location": {},
+        "name": "Intersection2Spaces",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IntersectionBlist"
+        ],
+        "location": {},
+        "name": "IntersectionBlist",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IntersectionNormalClosurePermGroup"
+        ],
+        "location": {},
+        "name": "IntersectionNormalClosurePermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InvariantElementaryAbelianSeries"
+        ],
+        "location": {},
+        "name": "InvariantElementaryAbelianSeries",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InvariantSubgroupsElementaryAbelianGroup"
+        ],
+        "location": {},
+        "name": "InvariantSubgroupsElementaryAbelianGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InverseAsWord"
+        ],
+        "location": {},
+        "name": "InverseAsWord",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InverseMap"
+        ],
+        "location": {},
+        "name": "InverseMap",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InverseMonoid"
+        ],
+        "location": {},
+        "name": "InverseMonoid",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InverseRepresentative"
+        ],
+        "location": {},
+        "name": "InverseRepresentative",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InverseRepresentativeWord"
+        ],
+        "location": {},
+        "name": "InverseRepresentativeWord",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "InverseSemigroup"
+        ],
+        "location": {},
+        "name": "InverseSemigroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IrreducibleDifferences"
+        ],
+        "location": {},
+        "name": "IrreducibleDifferences",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "IrreducibleRepresentationsDixon",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IrreducibleSolvableGroup"
+        ],
+        "location": {},
+        "name": "IrreducibleSolvableGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IrreducibleSolvableGroupMS"
+        ],
+        "location": {},
+        "name": "IrreducibleSolvableGroupMS",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsAlphaChar"
+        ],
+        "location": {},
+        "name": "IsAlphaChar",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsBPSWLucasPseudoPrime"
+        ],
+        "location": {},
+        "name": "IsBPSWLucasPseudoPrime",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsBPSWPseudoPrime"
+        ],
+        "location": {},
+        "name": "IsBPSWPseudoPrime",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsBPSWPseudoPrime_VerifyCorrectness"
+        ],
+        "location": {},
+        "name": "IsBPSWPseudoPrime_VerifyCorrectness",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsBasicWreathLessThanOrEqual"
+        ],
+        "location": {},
+        "name": "IsBasicWreathLessThanOrEqual",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsBoundGlobal"
+        ],
+        "location": {},
+        "name": "IsBoundGlobal",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsBound_LeftSemigroupIdealEnumerator"
+        ],
+        "location": {},
+        "name": "IsBound_LeftSemigroupIdealEnumerator",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsBound_RightSemigroupIdealEnumerator"
+        ],
+        "location": {},
+        "name": "IsBound_RightSemigroupIdealEnumerator",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsCategory"
+        ],
+        "location": {},
+        "name": "IsCategory",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsCheapConwayPolynomial"
+        ],
+        "location": {},
+        "name": "IsCheapConwayPolynomial",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsClassFusionOfNormalSubgroup"
+        ],
+        "location": {},
+        "name": "IsClassFusionOfNormalSubgroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsDigitChar"
+        ],
+        "location": {},
+        "name": "IsDigitChar",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsDxLargeGroup"
+        ],
+        "location": {},
+        "name": "IsDxLargeGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsEquivalentByFp"
+        ],
+        "location": {},
+        "name": "IsEquivalentByFp",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsEvenInt"
+        ],
+        "location": {},
+        "name": "IsEvenInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsFixedStabiliser",
+            "IsFixedStabilizer"
+        ],
+        "location": {},
+        "name": "IsFixedStabilizer",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsGaussInt"
+        ],
+        "location": {},
+        "name": "IsGaussInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsGaussRat"
+        ],
+        "location": {},
+        "name": "IsGaussRat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsInBasicOrbit"
+        ],
+        "location": {},
+        "name": "IsInBasicOrbit",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsLexicographicallyLess"
+        ],
+        "location": {},
+        "name": "IsLexicographicallyLess",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsLowerAlphaChar"
+        ],
+        "location": {},
+        "name": "IsLowerAlphaChar",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsLucasPseudoPrimeDP"
+        ],
+        "location": {},
+        "name": "IsLucasPseudoPrimeDP",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsOddInt"
+        ],
+        "location": {},
+        "name": "IsOddInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsPackageMarkedForLoading"
+        ],
+        "location": {},
+        "name": "IsPackageMarkedForLoading",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsPartition"
+        ],
+        "location": {},
+        "name": "IsPartition",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsPrimeInt"
+        ],
+        "location": {},
+        "name": "IsPrimeInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsPrimeIntOld"
+        ],
+        "location": {},
+        "name": "IsPrimeIntOld",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsPrimePowerInt"
+        ],
+        "location": {},
+        "name": "IsPrimePowerInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsPrimitiveRootMod"
+        ],
+        "location": {},
+        "name": "IsPrimitiveRootMod",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsProbablyPrimeInt"
+        ],
+        "location": {},
+        "name": "IsProbablyPrimeInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsReadOnlyGlobal"
+        ],
+        "location": {},
+        "name": "IsReadOnlyGlobal",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsShortLexLessThanOrEqual"
+        ],
+        "location": {},
+        "name": "IsShortLexLessThanOrEqual",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsSquareInt"
+        ],
+        "location": {},
+        "name": "IsSquareInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsStandardized"
+        ],
+        "location": {},
+        "name": "IsStandardized",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsStrongLucasPseudoPrimeDP"
+        ],
+        "location": {},
+        "name": "IsStrongLucasPseudoPrimeDP",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsStrongPseudoPrimeBaseA"
+        ],
+        "location": {},
+        "name": "IsStrongPseudoPrimeBaseA",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsSubgroup"
+        ],
+        "location": {},
+        "name": "IsSubgroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsSubspace"
+        ],
+        "location": {},
+        "name": "IsSubspace",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsTrivialNormalIntersectionInList"
+        ],
+        "location": {},
+        "name": "IsTrivialNormalIntersectionInList",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsTrivialRBase"
+        ],
+        "location": {},
+        "name": "IsTrivialRBase",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsUpperAlphaChar"
+        ],
+        "location": {},
+        "name": "IsUpperAlphaChar",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsValidIdentifier"
+        ],
+        "location": {},
+        "name": "IsValidIdentifier",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsolatePoint"
+        ],
+        "location": {},
+        "name": "IsolatePoint",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsomorphismAbelianGroups"
+        ],
+        "location": {},
+        "name": "IsomorphismAbelianGroups",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsomorphismFpGroupByChiefSeriesFactor"
+        ],
+        "location": {},
+        "name": "IsomorphismFpGroupByChiefSeriesFactor",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsomorphismFpGroupByGenerators"
+        ],
+        "location": {},
+        "name": "IsomorphismFpGroupByGenerators",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsomorphismFpGroupByPcgs"
+        ],
+        "location": {},
+        "name": "IsomorphismFpGroupByPcgs",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "IsomorphismFpMonoidGeneratorsFirst",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsomorphismFpMonoidInversesFirst"
+        ],
+        "location": {},
+        "name": "IsomorphismFpMonoidInversesFirst",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsomorphismGroups"
+        ],
+        "location": {},
+        "name": "IsomorphismGroups",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "IsomorphismPermGroupImfGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IsomorphismPermGroupOrFailFpGroup"
+        ],
+        "location": {},
+        "name": "IsomorphismPermGroupOrFailFpGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IteratorByFunctions"
+        ],
+        "location": {},
+        "name": "IteratorByFunctions",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "IteratorList",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IteratorOfCartesianProduct"
+        ],
+        "location": {},
+        "name": "IteratorOfCartesianProduct",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IteratorOfCombinations"
+        ],
+        "location": {},
+        "name": "IteratorOfCombinations",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IteratorOfPartitions"
+        ],
+        "location": {},
+        "name": "IteratorOfPartitions",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IteratorOfTuples"
+        ],
+        "location": {},
+        "name": "IteratorOfTuples",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IteratorStabChain"
+        ],
+        "location": {},
+        "name": "IteratorStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Jacobi"
+        ],
+        "location": {},
+        "name": "Jacobi",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "JoinOfIdempotentPartialPermsNC"
+        ],
+        "location": {},
+        "name": "JoinOfIdempotentPartialPermsNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "JoinOfPartialPerms"
+        ],
+        "location": {},
+        "name": "JoinOfPartialPerms",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "JoinRanges"
+        ],
+        "location": {},
+        "name": "JoinRanges",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "JoinStringsWithSeparator"
+        ],
+        "location": {},
+        "name": "JoinStringsWithSeparator",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "JsonStreamToGap"
+        ],
+        "location": {},
+        "name": "JsonStreamToGap",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "JsonStringToGap"
+        ],
+        "location": {},
+        "name": "JsonStringToGap",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "KernelHcommaC"
+        ],
+        "location": {},
+        "name": "KernelHcommaC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "KnownNaturalHomomorphismsPool"
+        ],
+        "location": {},
+        "name": "KnownNaturalHomomorphismsPool",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "KuKGenerators"
+        ],
+        "location": {},
+        "name": "KuKGenerators",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LIST_WITH_HOMOGENEOUS_MUTABILITY_LEVEL"
+        ],
+        "location": {},
+        "name": "LIST_WITH_HOMOGENEOUS_MUTABILITY_LEVEL",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LLL"
+        ],
+        "location": {},
+        "name": "LLL",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LLLReducedBasis"
+        ],
+        "location": {},
+        "name": "LLLReducedBasis",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LLLReducedGramMat"
+        ],
+        "location": {},
+        "name": "LLLReducedGramMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LLLint"
+        ],
+        "location": {},
+        "name": "LLLint",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LR2MagmaCongruenceByGeneratingPairsCAT"
+        ],
+        "location": {},
+        "name": "LR2MagmaCongruenceByGeneratingPairsCAT",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LR2MagmaCongruenceByPartitionNCCAT"
+        ],
+        "location": {},
+        "name": "LR2MagmaCongruenceByPartitionNCCAT",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LaTeXStringDecompositionMatrix"
+        ],
+        "location": {},
+        "name": "LaTeXStringDecompositionMatrix",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LaTeXTable"
+        ],
+        "location": {},
+        "name": "LaTeXTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LabsLims"
+        ],
+        "location": {},
+        "name": "LabsLims",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LargerQuotientBySubgroupAbelianization"
+        ],
+        "location": {},
+        "name": "LargerQuotientBySubgroupAbelianization",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LargestElementStabChain"
+        ],
+        "location": {},
+        "name": "LargestElementStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LatticeByCyclicExtension"
+        ],
+        "location": {},
+        "name": "LatticeByCyclicExtension",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "LatticeSubgroupsByTom",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "LatticeViaRadical",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LaurentPolynomialByExtRep",
+            "LaurentPolynomialByExtRepNC"
+        ],
+        "location": {},
+        "name": "LaurentPolynomialByExtRepNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Lcm"
+        ],
+        "location": {},
+        "name": "Lcm",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LcmInt"
+        ],
+        "location": {},
+        "name": "LcmInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LeadingMonomialPosExtRep"
+        ],
+        "location": {},
+        "name": "LeadingMonomialPosExtRep",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LeftIdeal"
+        ],
+        "location": {},
+        "name": "LeftIdeal",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LeftIdealNC"
+        ],
+        "location": {},
+        "name": "LeftIdealNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LeftMagmaCongruence"
+        ],
+        "location": {},
+        "name": "LeftMagmaCongruence",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LeftMagmaIdeal"
+        ],
+        "location": {},
+        "name": "LeftMagmaIdeal",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LeftModuleHomomorphismByImages"
+        ],
+        "location": {},
+        "name": "LeftModuleHomomorphismByImages",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LeftQuotientPowerPcgsElement"
+        ],
+        "location": {},
+        "name": "LeftQuotientPowerPcgsElement",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LeftReduceUEALatticeElement"
+        ],
+        "location": {},
+        "name": "LeftReduceUEALatticeElement",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Legendre"
+        ],
+        "location": {},
+        "name": "Legendre",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LenstraBase"
+        ],
+        "location": {},
+        "name": "LenstraBase",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LieAlgebra"
+        ],
+        "location": {},
+        "name": "LieAlgebra",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LieAlgebraByStructureConstants"
+        ],
+        "location": {},
+        "name": "LieAlgebraByStructureConstants",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LieCoboundaryOperator"
+        ],
+        "location": {},
+        "name": "LieCoboundaryOperator",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LiftAbsAndIrredModules"
+        ],
+        "location": {},
+        "name": "LiftAbsAndIrredModules",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LiftEpimorphismSQ"
+        ],
+        "location": {},
+        "name": "LiftEpimorphismSQ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LiftFactorFpHom"
+        ],
+        "location": {},
+        "name": "LiftFactorFpHom",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LiftedInducedPcgs"
+        ],
+        "location": {},
+        "name": "LiftedInducedPcgs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LiftedPcElement"
+        ],
+        "location": {},
+        "name": "LiftedPcElement",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LinearActionLayer",
+            "LinearOperationLayer"
+        ],
+        "location": {},
+        "name": "LinearActionLayer",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LinearCombinationPcgs"
+        ],
+        "location": {},
+        "name": "LinearCombinationPcgs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LinearGroupParameters"
+        ],
+        "location": {},
+        "name": "LinearGroupParameters",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LinearIndependentColumns"
+        ],
+        "location": {},
+        "name": "LinearIndependentColumns",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LinearOrderByPartialWeakOrder"
+        ],
+        "location": {},
+        "name": "LinearOrderByPartialWeakOrder",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "List"
+        ],
+        "location": {},
+        "name": "List",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ListN"
+        ],
+        "location": {},
+        "name": "ListN",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ListOfDigits"
+        ],
+        "location": {},
+        "name": "ListOfDigits",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ListStabChain"
+        ],
+        "location": {},
+        "name": "ListStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ListWithIdenticalEntries"
+        ],
+        "location": {},
+        "name": "ListWithIdenticalEntries",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ListX"
+        ],
+        "location": {},
+        "name": "ListX",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LoadAllPackages"
+        ],
+        "location": {},
+        "name": "LoadAllPackages",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LoadPackage",
+            "RequirePackage"
+        ],
+        "location": {},
+        "name": "LoadPackage",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LoadPackageDocumentation"
+        ],
+        "location": {},
+        "name": "LoadPackageDocumentation",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LockNaturalHomomorphismsPool"
+        ],
+        "location": {},
+        "name": "LockNaturalHomomorphismsPool",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "LogInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LogMod"
+        ],
+        "location": {},
+        "name": "LogMod",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LogModShanks"
+        ],
+        "location": {},
+        "name": "LogModShanks",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LogPackageLoadingMessage"
+        ],
+        "location": {},
+        "name": "LogPackageLoadingMessage",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LowerASCIIString"
+        ],
+        "location": {},
+        "name": "LowerASCIIString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LowercaseString"
+        ],
+        "location": {},
+        "name": "LowercaseString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "LowercaseUnicodeString"
+        ],
+        "location": {},
+        "name": "LowercaseUnicodeString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Lucas"
+        ],
+        "location": {},
+        "name": "Lucas",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MATCH_BEGIN"
+        ],
+        "location": {},
+        "name": "MATCH_BEGIN",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MATCH_BEGIN_COUNT"
+        ],
+        "location": {},
+        "name": "MATCH_BEGIN_COUNT",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MU_AddToCache"
+        ],
+        "location": {},
+        "name": "MU_AddToCache",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MU_Finalize"
+        ],
+        "location": {},
+        "name": "MU_Finalize",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Magma"
+        ],
+        "location": {},
+        "name": "Magma",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MagmaByMultiplicationTable"
+        ],
+        "location": {},
+        "name": "MagmaByMultiplicationTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MagmaByMultiplicationTableCreator"
+        ],
+        "location": {},
+        "name": "MagmaByMultiplicationTableCreator",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MagmaByMultiplicationTableCreatorNC"
+        ],
+        "location": {},
+        "name": "MagmaByMultiplicationTableCreatorNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MagmaElement"
+        ],
+        "location": {},
+        "name": "MagmaElement",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MagmaHomomorphismByFunctionNC"
+        ],
+        "location": {},
+        "name": "MagmaHomomorphismByFunctionNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MagmaIdeal"
+        ],
+        "location": {},
+        "name": "MagmaIdeal",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MagmaIsomorphismByFunctionsNC"
+        ],
+        "location": {},
+        "name": "MagmaIsomorphismByFunctionsNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MagmaRingModuloSpanOfZero"
+        ],
+        "location": {},
+        "name": "MagmaRingModuloSpanOfZero",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MagmaWithInverses"
+        ],
+        "location": {},
+        "name": "MagmaWithInverses",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MagmaWithInversesByMultiplicationTable"
+        ],
+        "location": {},
+        "name": "MagmaWithInversesByMultiplicationTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MagmaWithOne"
+        ],
+        "location": {},
+        "name": "MagmaWithOne",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MagmaWithOneByMultiplicationTable"
+        ],
+        "location": {},
+        "name": "MagmaWithOneByMultiplicationTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MakeKnuthBendixRewritingSystemConfluent"
+        ],
+        "location": {},
+        "name": "MakeKnuthBendixRewritingSystemConfluent",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MakeMapping"
+        ],
+        "location": {},
+        "name": "MakeMapping",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MakeMatrix"
+        ],
+        "location": {},
+        "name": "MakeMatrix",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MakePlistVectorType"
+        ],
+        "location": {},
+        "name": "MakePlistVectorType",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MakeReadOnlyGlobal"
+        ],
+        "location": {},
+        "name": "MakeReadOnlyGlobal",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MakeReadWriteGlobal"
+        ],
+        "location": {},
+        "name": "MakeReadWriteGlobal",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MakeStabChainLong"
+        ],
+        "location": {},
+        "name": "MakeStabChainLong",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MakeVector"
+        ],
+        "location": {},
+        "name": "MakeVector",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ManualExamples"
+        ],
+        "location": {},
+        "name": "ManualExamples",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ManualExamplesXMLTree"
+        ],
+        "location": {},
+        "name": "ManualExamplesXMLTree",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MappedPcElement"
+        ],
+        "location": {},
+        "name": "MappedPcElement",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MappingByFunction"
+        ],
+        "location": {},
+        "name": "MappingByFunction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MarkObject"
+        ],
+        "location": {},
+        "name": "MarkObject",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MatCharsWreathSymmetric"
+        ],
+        "location": {},
+        "name": "MatCharsWreathSymmetric",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MatClassMultCoeffsCharTable"
+        ],
+        "location": {},
+        "name": "MatClassMultCoeffsCharTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MatDirectProduct"
+        ],
+        "location": {},
+        "name": "MatDirectProduct",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "MatWreathProduct",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MaximalPropertySubgroups"
+        ],
+        "location": {},
+        "name": "MaximalPropertySubgroups",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MaximalSolvableSubgroups"
+        ],
+        "location": {},
+        "name": "MaximalSolvableSubgroups",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MaximalSubgroupsSymmAlt"
+        ],
+        "location": {},
+        "name": "MaximalSubgroupsSymmAlt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Maximum"
+        ],
+        "location": {},
+        "name": "Maximum",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Median"
+        ],
+        "location": {},
+        "name": "Median",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MeetMaps"
+        ],
+        "location": {},
+        "name": "MeetMaps",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "MeetOfPartialPerms",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MeetPartitionStrat"
+        ],
+        "location": {},
+        "name": "MeetPartitionStrat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MeetPartitionStratCell"
+        ],
+        "location": {},
+        "name": "MeetPartitionStratCell",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MinimalElementCosetStabChain"
+        ],
+        "location": {},
+        "name": "MinimalElementCosetStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MinimalNonmonomialGroup"
+        ],
+        "location": {},
+        "name": "MinimalNonmonomialGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MinimizeExplicitTransversal"
+        ],
+        "location": {},
+        "name": "MinimizeExplicitTransversal",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Minimum"
+        ],
+        "location": {},
+        "name": "Minimum",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MinimumGroupOnSubgroupsOrbit"
+        ],
+        "location": {},
+        "name": "MinimumGroupOnSubgroupsOrbit",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MinusCharacter"
+        ],
+        "location": {},
+        "name": "MinusCharacter",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ModuloTailPcgsByList"
+        ],
+        "location": {},
+        "name": "ModuloTailPcgsByList",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MoebiusMu"
+        ],
+        "location": {},
+        "name": "MoebiusMu",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MolienSeries"
+        ],
+        "location": {},
+        "name": "MolienSeries",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MolienSeriesWithGivenDenominator"
+        ],
+        "location": {},
+        "name": "MolienSeriesWithGivenDenominator",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Monoid"
+        ],
+        "location": {},
+        "name": "Monoid",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MonoidByMultiplicationTable"
+        ],
+        "location": {},
+        "name": "MonoidByMultiplicationTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MonomialExtGrlexLess"
+        ],
+        "location": {},
+        "name": "MonomialExtGrlexLess",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MonomialGrevlexOrdering"
+        ],
+        "location": {},
+        "name": "MonomialGrevlexOrdering",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MonomialGrlexOrdering"
+        ],
+        "location": {},
+        "name": "MonomialGrlexOrdering",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MonomialLexOrdering"
+        ],
+        "location": {},
+        "name": "MonomialLexOrdering",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MorClassLoop"
+        ],
+        "location": {},
+        "name": "MorClassLoop",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MorFindGeneratingSystem"
+        ],
+        "location": {},
+        "name": "MorFindGeneratingSystem",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MorFroWords"
+        ],
+        "location": {},
+        "name": "MorFroWords",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MorMaxFusClasses"
+        ],
+        "location": {},
+        "name": "MorMaxFusClasses",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MorRatClasses"
+        ],
+        "location": {},
+        "name": "MorRatClasses",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Morphium"
+        ],
+        "location": {},
+        "name": "Morphium",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MorrisRecursion"
+        ],
+        "location": {},
+        "name": "MorrisRecursion",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MostFrequentGeneratorFpGroup"
+        ],
+        "location": {},
+        "name": "MostFrequentGeneratorFpGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "MovedPointsPerms",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MultiActionsHomomorphism"
+        ],
+        "location": {},
+        "name": "MultiActionsHomomorphism",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MultivariateFactorsPolynomial"
+        ],
+        "location": {},
+        "name": "MultivariateFactorsPolynomial",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MutableBasisOfClosureUnderAction"
+        ],
+        "location": {},
+        "name": "MutableBasisOfClosureUnderAction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MutableBasisOfIdealInNonassociativeAlgebra"
+        ],
+        "location": {},
+        "name": "MutableBasisOfIdealInNonassociativeAlgebra",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "MutableBasisOfNonassociativeAlgebra"
+        ],
+        "location": {},
+        "name": "MutableBasisOfNonassociativeAlgebra",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "MutableBasisViaNiceMutableBasisMethod2",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "MutableBasisViaNiceMutableBasisMethod3",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NK"
+        ],
+        "location": {},
+        "name": "NK",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NORMALIZE_IGS"
+        ],
+        "location": {},
+        "name": "NORMALIZE_IGS",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NaturalActedSpace"
+        ],
+        "location": {},
+        "name": "NaturalActedSpace",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NaturalHomomorphismByNormalSubgroup"
+        ],
+        "location": {},
+        "name": "NaturalHomomorphismByNormalSubgroup",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "NaturalHomomorphismBySubspaceOntoFullRowSpace",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "AdditiveGroup",
+            "AdditiveMagmaWithInverses",
+            "NearAdditiveGroup",
+            "NearAdditiveMagmaWithInverses"
+        ],
+        "location": {},
+        "name": "NearAdditiveGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "AdditiveMagma",
+            "NearAdditiveMagma"
+        ],
+        "location": {},
+        "name": "NearAdditiveMagma",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "AdditiveMagmaWithZero",
+            "NearAdditiveMagmaWithZero"
+        ],
+        "location": {},
+        "name": "NearAdditiveMagmaWithZero",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NewCompositionOfStraightLinePrograms"
+        ],
+        "location": {},
+        "name": "NewCompositionOfStraightLinePrograms",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NewDictionary"
+        ],
+        "location": {},
+        "name": "NewDictionary",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NewObjectMarker"
+        ],
+        "location": {},
+        "name": "NewObjectMarker",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NewProductOfStraightLinePrograms"
+        ],
+        "location": {},
+        "name": "NewProductOfStraightLinePrograms",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NewmanInfinityCriterion"
+        ],
+        "location": {},
+        "name": "NewmanInfinityCriterion",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NextIterator_StabChain"
+        ],
+        "location": {},
+        "name": "NextIterator_StabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NextLevelRegularGroups"
+        ],
+        "location": {},
+        "name": "NextLevelRegularGroups",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NextPrimeInt"
+        ],
+        "location": {},
+        "name": "NextPrimeInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NextRBasePoint"
+        ],
+        "location": {},
+        "name": "NextRBasePoint",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NiceMonomorphismAutomGroup"
+        ],
+        "location": {},
+        "name": "NiceMonomorphismAutomGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NicomorphismFFMatGroupOnFullSpace"
+        ],
+        "location": {},
+        "name": "NicomorphismFFMatGroupOnFullSpace",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NilpotentQuotientOfFpLieAlgebra"
+        ],
+        "location": {},
+        "name": "NilpotentQuotientOfFpLieAlgebra",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NinKernelCSPG"
+        ],
+        "location": {},
+        "name": "NinKernelCSPG",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NonPerfectCSPG"
+        ],
+        "location": {},
+        "name": "NonPerfectCSPG",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NonnegIntScalarProducts"
+        ],
+        "location": {},
+        "name": "NonnegIntScalarProducts",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NormalFormIntMat"
+        ],
+        "location": {},
+        "name": "NormalFormIntMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NormalHallSubgroupsFromSylows"
+        ],
+        "location": {},
+        "name": "NormalHallSubgroupsFromSylows",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NormalSubgroupClasses"
+        ],
+        "location": {},
+        "name": "NormalSubgroupClasses",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NormalSubgroupsAbove"
+        ],
+        "location": {},
+        "name": "NormalSubgroupsAbove",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NormalizeNameAndKey"
+        ],
+        "location": {},
+        "name": "NormalizeNameAndKey",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NormalizedArgList"
+        ],
+        "location": {},
+        "name": "NormalizedArgList",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NormalizedNameAndKey"
+        ],
+        "location": {},
+        "name": "NormalizedNameAndKey",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NormalizedWhitespace"
+        ],
+        "location": {},
+        "name": "NormalizedWhitespace",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "NormalizerPermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NormaliserStabCSPG",
+            "NormalizerStabCSPG"
+        ],
+        "location": {},
+        "name": "NormalizerStabCSPG",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrArrangements"
+        ],
+        "location": {},
+        "name": "NrArrangements",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrCharsUTF8String"
+        ],
+        "location": {},
+        "name": "NrCharsUTF8String",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrCombinations"
+        ],
+        "location": {},
+        "name": "NrCombinations",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrConjugacyClassesGL"
+        ],
+        "location": {},
+        "name": "NrConjugacyClassesGL",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrConjugacyClassesGU"
+        ],
+        "location": {},
+        "name": "NrConjugacyClassesGU",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrConjugacyClassesPGL"
+        ],
+        "location": {},
+        "name": "NrConjugacyClassesPGL",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrConjugacyClassesPGU"
+        ],
+        "location": {},
+        "name": "NrConjugacyClassesPGU",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrConjugacyClassesPSL"
+        ],
+        "location": {},
+        "name": "NrConjugacyClassesPSL",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrConjugacyClassesPSU"
+        ],
+        "location": {},
+        "name": "NrConjugacyClassesPSU",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrConjugacyClassesSL"
+        ],
+        "location": {},
+        "name": "NrConjugacyClassesSL",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrConjugacyClassesSLIsogeneous"
+        ],
+        "location": {},
+        "name": "NrConjugacyClassesSLIsogeneous",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrConjugacyClassesSU"
+        ],
+        "location": {},
+        "name": "NrConjugacyClassesSU",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrConjugacyClassesSUIsogeneous"
+        ],
+        "location": {},
+        "name": "NrConjugacyClassesSUIsogeneous",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrDerangements"
+        ],
+        "location": {},
+        "name": "NrDerangements",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrOrderedPartitions"
+        ],
+        "location": {},
+        "name": "NrOrderedPartitions",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrPartitionTuples"
+        ],
+        "location": {},
+        "name": "NrPartitionTuples",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrPartitions"
+        ],
+        "location": {},
+        "name": "NrPartitions",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrPartitionsSet"
+        ],
+        "location": {},
+        "name": "NrPartitionsSet",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrPermutationsList"
+        ],
+        "location": {},
+        "name": "NrPermutationsList",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrPolyhedralSubgroups"
+        ],
+        "location": {},
+        "name": "NrPolyhedralSubgroups",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrPrimitiveGroups"
+        ],
+        "location": {},
+        "name": "NrPrimitiveGroups",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrRestrictedPartitions"
+        ],
+        "location": {},
+        "name": "NrRestrictedPartitions",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrTransitiveGroups"
+        ],
+        "location": {},
+        "name": "NrTransitiveGroups",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrTuples"
+        ],
+        "location": {},
+        "name": "NrTuples",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrUnorderedTuples"
+        ],
+        "location": {},
+        "name": "NrUnorderedTuples",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NthRootsInGroup"
+        ],
+        "location": {},
+        "name": "NthRootsInGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NullMat"
+        ],
+        "location": {},
+        "name": "NullMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NullspaceModQ"
+        ],
+        "location": {},
+        "name": "NullspaceModQ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Number"
+        ],
+        "location": {},
+        "name": "Number",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NumberCells"
+        ],
+        "location": {},
+        "name": "NumberCells",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NumberCoset"
+        ],
+        "location": {},
+        "name": "NumberCoset",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NumberDigits"
+        ],
+        "location": {},
+        "name": "NumberDigits",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrIrreducibleSolvableGroups",
+            "NumberIrreducibleSolvableGroups"
+        ],
+        "location": {},
+        "name": "NumberIrreducibleSolvableGroups",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NumberOfLines"
+        ],
+        "location": {},
+        "name": "NumberOfLines",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrPerfectGroups",
+            "NumberPerfectGroups"
+        ],
+        "location": {},
+        "name": "NumberPerfectGroups",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrPerfectLibraryGroups",
+            "NumberPerfectLibraryGroups"
+        ],
+        "location": {},
+        "name": "NumberPerfectLibraryGroups",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NrSmallGroups",
+            "NumberSmallGroups"
+        ],
+        "location": {},
+        "name": "NumberSmallGroups",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NumberSmallRings"
+        ],
+        "location": {},
+        "name": "NumberSmallRings",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "NumbersString"
+        ],
+        "location": {},
+        "name": "NumbersString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OCAddGenerators"
+        ],
+        "location": {},
+        "name": "OCAddGenerators",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OCAddMatrices"
+        ],
+        "location": {},
+        "name": "OCAddMatrices",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OCAddToFunctions"
+        ],
+        "location": {},
+        "name": "OCAddToFunctions",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OCConjugatingWord"
+        ],
+        "location": {},
+        "name": "OCConjugatingWord",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OCEquationMatrix"
+        ],
+        "location": {},
+        "name": "OCEquationMatrix",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OCEquationVector"
+        ],
+        "location": {},
+        "name": "OCEquationVector",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OCOneCoboundaries"
+        ],
+        "location": {},
+        "name": "OCOneCoboundaries",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OCOneCocycles"
+        ],
+        "location": {},
+        "name": "OCOneCocycles",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OCSmallEquationMatrix"
+        ],
+        "location": {},
+        "name": "OCSmallEquationMatrix",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OCSmallEquationVector"
+        ],
+        "location": {},
+        "name": "OCSmallEquationVector",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ObjByVector"
+        ],
+        "location": {},
+        "name": "ObjByVector",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OctaveAlgebra"
+        ],
+        "location": {},
+        "name": "OctaveAlgebra",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OldGeneratorsOfPresentation"
+        ],
+        "location": {},
+        "name": "OldGeneratorsOfPresentation",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OnIndeterminates"
+        ],
+        "location": {},
+        "name": "OnIndeterminates",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OnLines"
+        ],
+        "location": {},
+        "name": "OnLines",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OnSetsDisjointSets"
+        ],
+        "location": {},
+        "name": "OnSetsDisjointSets",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OnSetsSets"
+        ],
+        "location": {},
+        "name": "OnSetsSets",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OnSetsTuples"
+        ],
+        "location": {},
+        "name": "OnSetsTuples",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OnSubspacesByCanonicalBasis",
+            "OnSubspacesByCanonicalBasisGF2"
+        ],
+        "location": {},
+        "name": "OnSubspacesByCanonicalBasis",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OnSubspacesByCanonicalBasisConcatenations"
+        ],
+        "location": {},
+        "name": "OnSubspacesByCanonicalBasisConcatenations",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OnTuplesSets"
+        ],
+        "location": {},
+        "name": "OnTuplesSets",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OnTuplesTuples"
+        ],
+        "location": {},
+        "name": "OnTuplesTuples",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OneCoboundaries"
+        ],
+        "location": {},
+        "name": "OneCoboundaries",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OneCocycles"
+        ],
+        "location": {},
+        "name": "OneCocycles",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OneFactorBound"
+        ],
+        "location": {},
+        "name": "OneFactorBound",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OneIrreducibleSolvableGroup"
+        ],
+        "location": {},
+        "name": "OneIrreducibleSolvableGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OnePrimitiveGroup"
+        ],
+        "location": {},
+        "name": "OnePrimitiveGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OpenHTTPConnection"
+        ],
+        "location": {},
+        "name": "OpenHTTPConnection",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrbitByPosOp"
+        ],
+        "location": {},
+        "name": "OrbitByPosOp",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrbitChar"
+        ],
+        "location": {},
+        "name": "OrbitChar",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrbitFusions"
+        ],
+        "location": {},
+        "name": "OrbitFusions",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrbitMinimumMultistage"
+        ],
+        "location": {},
+        "name": "OrbitMinimumMultistage",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrbitPerms"
+        ],
+        "location": {},
+        "name": "OrbitPerms",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrbitPowerMaps"
+        ],
+        "location": {},
+        "name": "OrbitPowerMaps",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrbitRepresentativesCharacters"
+        ],
+        "location": {},
+        "name": "OrbitRepresentativesCharacters",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrbitShortVectors"
+        ],
+        "location": {},
+        "name": "OrbitShortVectors",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrbitSplit"
+        ],
+        "location": {},
+        "name": "OrbitSplit",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrbitStabChain"
+        ],
+        "location": {},
+        "name": "OrbitStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrbitalPartition"
+        ],
+        "location": {},
+        "name": "OrbitalPartition",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrbitsCharacters"
+        ],
+        "location": {},
+        "name": "OrbitsCharacters",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrbitsPartition"
+        ],
+        "location": {},
+        "name": "OrbitsPartition",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrbitsPerms"
+        ],
+        "location": {},
+        "name": "OrbitsPerms",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrbitsRepsAndStabsVectorsMultistage"
+        ],
+        "location": {},
+        "name": "OrbitsRepsAndStabsVectorsMultistage",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrderKnownDividendList"
+        ],
+        "location": {},
+        "name": "OrderKnownDividendList",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrderMatTrial"
+        ],
+        "location": {},
+        "name": "OrderMatTrial",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrderMod"
+        ],
+        "location": {},
+        "name": "OrderMod",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrderModK"
+        ],
+        "location": {},
+        "name": "OrderModK",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrderedPartitions"
+        ],
+        "location": {},
+        "name": "OrderedPartitions",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OriginalPositionDocument"
+        ],
+        "location": {},
+        "name": "OriginalPositionDocument",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrthogonalComponents"
+        ],
+        "location": {},
+        "name": "OrthogonalComponents",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrthogonalEmbeddings"
+        ],
+        "location": {},
+        "name": "OrthogonalEmbeddings",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OrthogonalEmbeddingsSpecialDimension"
+        ],
+        "location": {},
+        "name": "OrthogonalEmbeddingsSpecialDimension",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OutputTextNone"
+        ],
+        "location": {},
+        "name": "OutputTextNone",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "OutputTextUser"
+        ],
+        "location": {},
+        "name": "OutputTextUser",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PBIsMinimal"
+        ],
+        "location": {},
+        "name": "PBIsMinimal",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PQuotient"
+        ],
+        "location": {},
+        "name": "PQuotient",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PackageAvailabilityInfo"
+        ],
+        "location": {},
+        "name": "PackageAvailabilityInfo",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PackageInfo"
+        ],
+        "location": {},
+        "name": "PackageInfo",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PackageVariablesInfo"
+        ],
+        "location": {},
+        "name": "PackageVariablesInfo",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PadicCoefficients"
+        ],
+        "location": {},
+        "name": "PadicCoefficients",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PadicExtensionNumberFamily"
+        ],
+        "location": {},
+        "name": "PadicExtensionNumberFamily",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Page"
+        ],
+        "location": {},
+        "name": "Page",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PageDisplay"
+        ],
+        "location": {},
+        "name": "PageDisplay",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Pager"
+        ],
+        "location": {},
+        "name": "Pager",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ParListWorker"
+        ],
+        "location": {},
+        "name": "ParListWorker",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ParMapReduceWorker"
+        ],
+        "location": {},
+        "name": "ParMapReduceWorker",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Parametrized"
+        ],
+        "location": {},
+        "name": "Parametrized",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ParityPol"
+        ],
+        "location": {},
+        "name": "ParityPol",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ParseBibFiles"
+        ],
+        "location": {},
+        "name": "ParseBibFiles",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ParseBibStrings"
+        ],
+        "location": {},
+        "name": "ParseBibStrings",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ParseBibXMLextFiles"
+        ],
+        "location": {},
+        "name": "ParseBibXMLextFiles",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ParseBibXMLextString"
+        ],
+        "location": {},
+        "name": "ParseBibXMLextString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ParseRelators"
+        ],
+        "location": {},
+        "name": "ParseRelators",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ParseTestFile"
+        ],
+        "location": {},
+        "name": "ParseTestFile",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ParseTestInput"
+        ],
+        "location": {},
+        "name": "ParseTestInput",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ParseTreeXMLFile"
+        ],
+        "location": {},
+        "name": "ParseTreeXMLFile",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ParseTreeXMLString"
+        ],
+        "location": {},
+        "name": "ParseTreeXMLString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PartialOrderByOrderingFunction"
+        ],
+        "location": {},
+        "name": "PartialOrderByOrderingFunction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PartialPerm"
+        ],
+        "location": {},
+        "name": "PartialPerm",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PartialPermNC"
+        ],
+        "location": {},
+        "name": "PartialPermNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Partition"
+        ],
+        "location": {},
+        "name": "Partition",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PartitionBacktrack"
+        ],
+        "location": {},
+        "name": "PartitionBacktrack",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PartitionSortedPoints"
+        ],
+        "location": {},
+        "name": "PartitionSortedPoints",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PartitionStabiliserPermGroup",
+            "PartitionStabilizerPermGroup"
+        ],
+        "location": {},
+        "name": "PartitionStabilizerPermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PartitionTuples"
+        ],
+        "location": {},
+        "name": "PartitionTuples",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Partitions"
+        ],
+        "location": {},
+        "name": "Partitions",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PartitionsGreatestEQ"
+        ],
+        "location": {},
+        "name": "PartitionsGreatestEQ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PartitionsGreatestLE"
+        ],
+        "location": {},
+        "name": "PartitionsGreatestLE",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PartitionsRecursively"
+        ],
+        "location": {},
+        "name": "PartitionsRecursively",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PartitionsSet"
+        ],
+        "location": {},
+        "name": "PartitionsSet",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PcElementByExponents"
+        ],
+        "location": {},
+        "name": "PcElementByExponents",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PcGroupCode"
+        ],
+        "location": {},
+        "name": "PcGroupCode",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PcGroupCodeRec"
+        ],
+        "location": {},
+        "name": "PcGroupCodeRec",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PcGroupFpGroup"
+        ],
+        "location": {},
+        "name": "PcGroupFpGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PcGroupFpGroupNC"
+        ],
+        "location": {},
+        "name": "PcGroupFpGroupNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PcgsByIndependentGeneratorsOfAbelianGroup"
+        ],
+        "location": {},
+        "name": "PcgsByIndependentGeneratorsOfAbelianGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PcgsByPcgs"
+        ],
+        "location": {},
+        "name": "PcgsByPcgs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PcgsDirectProduct"
+        ],
+        "location": {},
+        "name": "PcgsDirectProduct",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "PcgsMemberPcSeriesPermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PcgsStabChainSeries"
+        ],
+        "location": {},
+        "name": "PcgsStabChainSeries",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Pcgs_OrbitStabiliser",
+            "Pcgs_OrbitStabilizer"
+        ],
+        "location": {},
+        "name": "Pcgs_OrbitStabilizer",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Pcgs_OrbitStabiliser_Blist",
+            "Pcgs_OrbitStabilizer_Blist"
+        ],
+        "location": {},
+        "name": "Pcgs_OrbitStabilizer_Blist",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Pcs_OrbitStabiliser",
+            "Pcs_OrbitStabilizer"
+        ],
+        "location": {},
+        "name": "Pcs_OrbitStabilizer",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PerfGrpLoad"
+        ],
+        "location": {},
+        "name": "PerfGrpLoad",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PerfectCSPG"
+        ],
+        "location": {},
+        "name": "PerfectCSPG",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PerfectGroup"
+        ],
+        "location": {},
+        "name": "PerfectGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Perform"
+        ],
+        "location": {},
+        "name": "Perform",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PermBounds"
+        ],
+        "location": {},
+        "name": "PermBounds",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PermCandidates"
+        ],
+        "location": {},
+        "name": "PermCandidates",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PermCandidatesFaithful"
+        ],
+        "location": {},
+        "name": "PermCandidatesFaithful",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PermCharInfo"
+        ],
+        "location": {},
+        "name": "PermCharInfo",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PermCharInfoRelative"
+        ],
+        "location": {},
+        "name": "PermCharInfoRelative",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PermChars"
+        ],
+        "location": {},
+        "name": "PermChars",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PermComb"
+        ],
+        "location": {},
+        "name": "PermComb",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PermListList"
+        ],
+        "location": {},
+        "name": "PermListList",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PermPreConjtestGroups"
+        ],
+        "location": {},
+        "name": "PermPreConjtestGroups",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "PermliftSeries",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PermpcgsPcGroupPcgs"
+        ],
+        "location": {},
+        "name": "PermpcgsPcGroupPcgs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Permut"
+        ],
+        "location": {},
+        "name": "Permut",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Permutation"
+        ],
+        "location": {},
+        "name": "Permutation",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PermutationCycle"
+        ],
+        "location": {},
+        "name": "PermutationCycle",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PermutationGModule"
+        ],
+        "location": {},
+        "name": "PermutationGModule",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PermutationMat"
+        ],
+        "location": {},
+        "name": "PermutationMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PermutationToSortCharacters"
+        ],
+        "location": {},
+        "name": "PermutationToSortCharacters",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PermutationToSortClasses"
+        ],
+        "location": {},
+        "name": "PermutationToSortClasses",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PermutationsList"
+        ],
+        "location": {},
+        "name": "PermutationsList",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Phi2"
+        ],
+        "location": {},
+        "name": "Phi2",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PlainListCopy"
+        ],
+        "location": {},
+        "name": "PlainListCopy",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PointInCellNo"
+        ],
+        "location": {},
+        "name": "PointInCellNo",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PolynomialByExtRep"
+        ],
+        "location": {},
+        "name": "PolynomialByExtRep",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PolynomialByExtRepNC"
+        ],
+        "location": {},
+        "name": "PolynomialByExtRepNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PolynomialDivisionAlgorithm"
+        ],
+        "location": {},
+        "name": "PolynomialDivisionAlgorithm",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PolynomialModP"
+        ],
+        "location": {},
+        "name": "PolynomialModP",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PolynomialReducedRemainder"
+        ],
+        "location": {},
+        "name": "PolynomialReducedRemainder",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PolynomialReduction"
+        ],
+        "location": {},
+        "name": "PolynomialReduction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PopOptions"
+        ],
+        "location": {},
+        "name": "PopOptions",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PositionLinenumber"
+        ],
+        "location": {},
+        "name": "PositionLinenumber",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PositionMatchingDelimiter"
+        ],
+        "location": {},
+        "name": "PositionMatchingDelimiter",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PositionSet"
+        ],
+        "location": {},
+        "name": "PositionSet",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PositionSorted"
+        ],
+        "location": {},
+        "name": "PositionSorted",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Positions"
+        ],
+        "location": {},
+        "name": "Positions",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PowerDecompositions"
+        ],
+        "location": {},
+        "name": "PowerDecompositions",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PowerMapByComposition"
+        ],
+        "location": {},
+        "name": "PowerMapByComposition",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PowerMapOfGroupWithInvariants"
+        ],
+        "location": {},
+        "name": "PowerMapOfGroupWithInvariants",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PowerMapsAllowedBySymmetrisations",
+            "PowerMapsAllowedBySymmetrizations"
+        ],
+        "location": {},
+        "name": "PowerMapsAllowedBySymmetrizations",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PowerModEvalPol"
+        ],
+        "location": {},
+        "name": "PowerModEvalPol",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PowerModInt"
+        ],
+        "location": {},
+        "name": "PowerModInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PowerPartition"
+        ],
+        "location": {},
+        "name": "PowerPartition",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PowerPcgsElement"
+        ],
+        "location": {},
+        "name": "PowerPcgsElement",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PowerSi"
+        ],
+        "location": {},
+        "name": "PowerSi",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PowerWreath"
+        ],
+        "location": {},
+        "name": "PowerWreath",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PreImage"
+        ],
+        "location": {},
+        "name": "PreImage",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PreImageSetStabBlocksHomomorphism"
+        ],
+        "location": {},
+        "name": "PreImageSetStabBlocksHomomorphism",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PreImageWord"
+        ],
+        "location": {},
+        "name": "PreImageWord",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PreImages"
+        ],
+        "location": {},
+        "name": "PreImages",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PresentationAugmentedCosetTable"
+        ],
+        "location": {},
+        "name": "PresentationAugmentedCosetTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PresentationFpGroup"
+        ],
+        "location": {},
+        "name": "PresentationFpGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PresentationNormalClosure",
+            "PresentationNormalClosureRrs"
+        ],
+        "location": {},
+        "name": "PresentationNormalClosureRrs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PresentationRegularPermutationGroup"
+        ],
+        "location": {},
+        "name": "PresentationRegularPermutationGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PresentationRegularPermutationGroupNC"
+        ],
+        "location": {},
+        "name": "PresentationRegularPermutationGroupNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PresentationSubgroupMtc"
+        ],
+        "location": {},
+        "name": "PresentationSubgroupMtc",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PresentationSubgroup",
+            "PresentationSubgroupRrs"
+        ],
+        "location": {},
+        "name": "PresentationSubgroupRrs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PresentationViaCosetTable"
+        ],
+        "location": {},
+        "name": "PresentationViaCosetTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrevPrimeInt"
+        ],
+        "location": {},
+        "name": "PrevPrimeInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrimalityProof"
+        ],
+        "location": {},
+        "name": "PrimalityProof",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrimalityProof_FindFermat"
+        ],
+        "location": {},
+        "name": "PrimalityProof_FindFermat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrimalityProof_FindLucas"
+        ],
+        "location": {},
+        "name": "PrimalityProof_FindLucas",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrimalityProof_FindStructure"
+        ],
+        "location": {},
+        "name": "PrimalityProof_FindStructure",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrimalityProof_Verify"
+        ],
+        "location": {},
+        "name": "PrimalityProof_Verify",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrimalityProof_VerifyStructure"
+        ],
+        "location": {},
+        "name": "PrimalityProof_VerifyStructure",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrimalityProof_VerifyWitness"
+        ],
+        "location": {},
+        "name": "PrimalityProof_VerifyWitness",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrimePowersInt"
+        ],
+        "location": {},
+        "name": "PrimePowersInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrimeResidues"
+        ],
+        "location": {},
+        "name": "PrimeResidues",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrimitiveGroup"
+        ],
+        "location": {},
+        "name": "PrimitiveGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrimitiveGroupsIterator"
+        ],
+        "location": {},
+        "name": "PrimitiveGroupsIterator",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrimitiveRootMod"
+        ],
+        "location": {},
+        "name": "PrimitiveRootMod",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrintAmbiguity"
+        ],
+        "location": {},
+        "name": "PrintAmbiguity",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "PrintArray",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrintBibAsBib"
+        ],
+        "location": {},
+        "name": "PrintBibAsBib",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrintBibAsHTML"
+        ],
+        "location": {},
+        "name": "PrintBibAsHTML",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrintBibAsText"
+        ],
+        "location": {},
+        "name": "PrintBibAsText",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrintCSV"
+        ],
+        "location": {},
+        "name": "PrintCSV",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrintCharacterTable"
+        ],
+        "location": {},
+        "name": "PrintCharacterTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrintFactorsInt"
+        ],
+        "location": {},
+        "name": "PrintFactorsInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrintFormattedString"
+        ],
+        "location": {},
+        "name": "PrintFormattedString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrintGAPDocElementTemplates"
+        ],
+        "location": {},
+        "name": "PrintGAPDocElementTemplates",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrintSixFile"
+        ],
+        "location": {},
+        "name": "PrintSixFile",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PrintTo1"
+        ],
+        "location": {},
+        "name": "PrintTo1",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ProbabilityShapes"
+        ],
+        "location": {},
+        "name": "ProbabilityShapes",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ProcessFixpoint"
+        ],
+        "location": {},
+        "name": "ProcessFixpoint",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ProdCoefRatfun"
+        ],
+        "location": {},
+        "name": "ProdCoefRatfun",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Product"
+        ],
+        "location": {},
+        "name": "Product",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ProductOfStraightLinePrograms"
+        ],
+        "location": {},
+        "name": "ProductOfStraightLinePrograms",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ProductRootsPol"
+        ],
+        "location": {},
+        "name": "ProductRootsPol",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ProductX"
+        ],
+        "location": {},
+        "name": "ProductX",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ProjectedInducedPcgs"
+        ],
+        "location": {},
+        "name": "ProjectedInducedPcgs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ProjectedPcElement"
+        ],
+        "location": {},
+        "name": "ProjectedPcElement",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ProjectionMap"
+        ],
+        "location": {},
+        "name": "ProjectionMap",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ProjectiveActionHomomorphismMatrixGroup"
+        ],
+        "location": {},
+        "name": "ProjectiveActionHomomorphismMatrixGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ProjectiveActionOnFullSpace"
+        ],
+        "location": {},
+        "name": "ProjectiveActionOnFullSpace",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ProjectiveCharDeg"
+        ],
+        "location": {},
+        "name": "ProjectiveCharDeg",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PullBackNaturalHomomorphismsPool"
+        ],
+        "location": {},
+        "name": "PullBackNaturalHomomorphismsPool",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PullbackCSPG"
+        ],
+        "location": {},
+        "name": "PullbackCSPG",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PullbackKernelCSPG"
+        ],
+        "location": {},
+        "name": "PullbackKernelCSPG",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PurePadicNumberFamily"
+        ],
+        "location": {},
+        "name": "PurePadicNumberFamily",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "PushOptions"
+        ],
+        "location": {},
+        "name": "PushOptions",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Quadratic"
+        ],
+        "location": {},
+        "name": "Quadratic",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "QuaternionAlgebra"
+        ],
+        "location": {},
+        "name": "QuaternionAlgebra",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "QuickInverseRepresentative"
+        ],
+        "location": {},
+        "name": "QuickInverseRepresentative",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "QuotRemLaurpols"
+        ],
+        "location": {},
+        "name": "QuotRemLaurpols",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "QuotSysDefinitionByIndex"
+        ],
+        "location": {},
+        "name": "QuotSysDefinitionByIndex",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "QuotSysIndexByDefinition"
+        ],
+        "location": {},
+        "name": "QuotSysIndexByDefinition",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "QuotientFromSCTable"
+        ],
+        "location": {},
+        "name": "QuotientFromSCTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "QuotientPolynomialsExtRep"
+        ],
+        "location": {},
+        "name": "QuotientPolynomialsExtRep",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RBaseGroupsBloxPermGroup"
+        ],
+        "location": {},
+        "name": "RBaseGroupsBloxPermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RECORDS_FILE"
+        ],
+        "location": {},
+        "name": "RECORDS_FILE",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RMSElement",
+            "ReesMatrixSemigroupElement",
+            "ReesZeroMatrixSemigroupElement"
+        ],
+        "location": {},
+        "name": "RMSElement",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RRefine"
+        ],
+        "location": {},
+        "name": "RRefine",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RandomBinaryRelationOnPoints"
+        ],
+        "location": {},
+        "name": "RandomBinaryRelationOnPoints",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RandomElmAsWord"
+        ],
+        "location": {},
+        "name": "RandomElmAsWord",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RandomInvertibleMat"
+        ],
+        "location": {},
+        "name": "RandomInvertibleMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RandomIsomorphismTest"
+        ],
+        "location": {},
+        "name": "RandomIsomorphismTest",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "RandomList",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RandomMat"
+        ],
+        "location": {},
+        "name": "RandomMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RandomPartialPerm"
+        ],
+        "location": {},
+        "name": "RandomPartialPerm",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RandomPol"
+        ],
+        "location": {},
+        "name": "RandomPol",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RandomPrimitivePolynomial"
+        ],
+        "location": {},
+        "name": "RandomPrimitivePolynomial",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RandomSpecialPcgsCoded"
+        ],
+        "location": {},
+        "name": "RandomSpecialPcgsCoded",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RandomUnimodularMat"
+        ],
+        "location": {},
+        "name": "RandomUnimodularMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RatClasPElmArrangeClasses"
+        ],
+        "location": {},
+        "name": "RatClasPElmArrangeClasses",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RationalClassesInEANS"
+        ],
+        "location": {},
+        "name": "RationalClassesInEANS",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RationalClassesPElements"
+        ],
+        "location": {},
+        "name": "RationalClassesPElements",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RationalClassesPermGroup"
+        ],
+        "location": {},
+        "name": "RationalClassesPermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RationalClassesSolubleGroup",
+            "RationalClassesSolvableGroup"
+        ],
+        "location": {},
+        "name": "RationalClassesSolvableGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RationalClassesTry"
+        ],
+        "location": {},
+        "name": "RationalClassesTry",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RationalFunctionByExtRep"
+        ],
+        "location": {},
+        "name": "RationalFunctionByExtRep",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RationalFunctionByExtRepNC"
+        ],
+        "location": {},
+        "name": "RationalFunctionByExtRepNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RationalFunctionByExtRepWithCancellation"
+        ],
+        "location": {},
+        "name": "RationalFunctionByExtRepWithCancellation",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ReadCSV"
+        ],
+        "location": {},
+        "name": "ReadCSV",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ReadPackage",
+            "ReadPkg"
+        ],
+        "location": {},
+        "name": "ReadPackage",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ReadTestExamplesString"
+        ],
+        "location": {},
+        "name": "ReadTestExamplesString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ReadWeb"
+        ],
+        "location": {},
+        "name": "ReadWeb",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RealizableBrauerCharacters"
+        ],
+        "location": {},
+        "name": "RealizableBrauerCharacters",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RecBibXMLEntry"
+        ],
+        "location": {},
+        "name": "RecBibXMLEntry",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ReduceLetterRepWordsRewSys"
+        ],
+        "location": {},
+        "name": "ReduceLetterRepWordsRewSys",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ReduceStabChain"
+        ],
+        "location": {},
+        "name": "ReduceStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ReduceWordUsingRewritingSystem"
+        ],
+        "location": {},
+        "name": "ReduceWordUsingRewritingSystem",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ReducedByIsomorphisms"
+        ],
+        "location": {},
+        "name": "ReducedByIsomorphisms",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ReducedPermdegree"
+        ],
+        "location": {},
+        "name": "ReducedPermdegree",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ReducedRrsWord"
+        ],
+        "location": {},
+        "name": "ReducedRrsWord",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ReducedSCTable"
+        ],
+        "location": {},
+        "name": "ReducedSCTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ReductionToFiniteField"
+        ],
+        "location": {},
+        "name": "ReductionToFiniteField",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ReesMatrixSubsemigroupNC"
+        ],
+        "location": {},
+        "name": "ReesMatrixSubsemigroupNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ReesZeroMatrixSubsemigroupNC"
+        ],
+        "location": {},
+        "name": "ReesZeroMatrixSubsemigroupNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RefinedChain"
+        ],
+        "location": {},
+        "name": "RefinedChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RefinedSymmetrisations",
+            "RefinedSymmetrizations"
+        ],
+        "location": {},
+        "name": "RefinedSymmetrizations",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Refinements_Centralizer"
+        ],
+        "location": {},
+        "name": "Refinements_Centralizer",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Refinements_Intersection"
+        ],
+        "location": {},
+        "name": "Refinements_Intersection",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Refinements_ProcessFixpoint"
+        ],
+        "location": {},
+        "name": "Refinements_ProcessFixpoint",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Refinements_RegularOrbit2"
+        ],
+        "location": {},
+        "name": "Refinements_RegularOrbit2",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Refinements_RegularOrbit3"
+        ],
+        "location": {},
+        "name": "Refinements_RegularOrbit3",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Refinements_SplitOffBlock"
+        ],
+        "location": {},
+        "name": "Refinements_SplitOffBlock",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Refinements_Suborbits0"
+        ],
+        "location": {},
+        "name": "Refinements_Suborbits0",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Refinements_Suborbits1"
+        ],
+        "location": {},
+        "name": "Refinements_Suborbits1",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Refinements_Suborbits2"
+        ],
+        "location": {},
+        "name": "Refinements_Suborbits2",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Refinements_Suborbits3"
+        ],
+        "location": {},
+        "name": "Refinements_Suborbits3",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Refinements_TwoClosure"
+        ],
+        "location": {},
+        "name": "Refinements_TwoClosure",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Refinements__MakeBlox"
+        ],
+        "location": {},
+        "name": "Refinements__MakeBlox",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Refinements__RegularOrbit1"
+        ],
+        "location": {},
+        "name": "Refinements__RegularOrbit1",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ReflectionMat"
+        ],
+        "location": {},
+        "name": "ReflectionMat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RegisterRBasePoint"
+        ],
+        "location": {},
+        "name": "RegisterRBasePoint",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RegularModuleByGens"
+        ],
+        "location": {},
+        "name": "RegularModuleByGens",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RegularNinKernelCSPG"
+        ],
+        "location": {},
+        "name": "RegularNinKernelCSPG",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RelatorFixedMultiplier"
+        ],
+        "location": {},
+        "name": "RelatorFixedMultiplier",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RelatorMatrixAbelianizedNormalClosure",
+            "RelatorMatrixAbelianizedNormalClosureRrs"
+        ],
+        "location": {},
+        "name": "RelatorMatrixAbelianizedNormalClosureRrs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RelatorMatrixAbelianizedSubgroupMtc"
+        ],
+        "location": {},
+        "name": "RelatorMatrixAbelianizedSubgroupMtc",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RelatorMatrixAbelianizedSubgroup",
+            "RelatorMatrixAbelianizedSubgroupRrs"
+        ],
+        "location": {},
+        "name": "RelatorMatrixAbelianizedSubgroupRrs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RelatorRepresentatives"
+        ],
+        "location": {},
+        "name": "RelatorRepresentatives",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RelatorsPermGroupHom"
+        ],
+        "location": {},
+        "name": "RelatorsPermGroupHom",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RelsSortedByStartGen"
+        ],
+        "location": {},
+        "name": "RelsSortedByStartGen",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RelsViaCosetTable"
+        ],
+        "location": {},
+        "name": "RelsViaCosetTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RemoveCharacters"
+        ],
+        "location": {},
+        "name": "RemoveCharacters",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RemoveDirectoryRecursively"
+        ],
+        "location": {},
+        "name": "RemoveDirectoryRecursively",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RemoveRelator"
+        ],
+        "location": {},
+        "name": "RemoveRelator",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RemoveRootParseTree"
+        ],
+        "location": {},
+        "name": "RemoveRootParseTree",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RemoveStabChain"
+        ],
+        "location": {},
+        "name": "RemoveStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RenumberTree"
+        ],
+        "location": {},
+        "name": "RenumberTree",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RepOpElmTuplesPermGroup"
+        ],
+        "location": {},
+        "name": "RepOpElmTuplesPermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RepOpSetsPermGroup"
+        ],
+        "location": {},
+        "name": "RepOpSetsPermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RepeatedString"
+        ],
+        "location": {},
+        "name": "RepeatedString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RepeatedUTF8String"
+        ],
+        "location": {},
+        "name": "RepeatedUTF8String",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RepresentationsOfMatrix"
+        ],
+        "location": {},
+        "name": "RepresentationsOfMatrix",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RepresentationsPermutationIrreducibleCharacters"
+        ],
+        "location": {},
+        "name": "RepresentationsPermutationIrreducibleCharacters",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RepresentativeAction"
+        ],
+        "location": {},
+        "name": "RepresentativeAction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RepresentativesFusions"
+        ],
+        "location": {},
+        "name": "RepresentativesFusions",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RepresentativesPowerMaps"
+        ],
+        "location": {},
+        "name": "RepresentativesPowerMaps",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RereadPackage"
+        ],
+        "location": {},
+        "name": "RereadPackage",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ResetOptionsStack"
+        ],
+        "location": {},
+        "name": "ResetOptionsStack",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RestrictOutputsOfSLP"
+        ],
+        "location": {},
+        "name": "RestrictOutputsOfSLP",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RestrictedLieAlgebraByStructureConstants"
+        ],
+        "location": {},
+        "name": "RestrictedLieAlgebraByStructureConstants",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RestrictedNiceMonomorphism"
+        ],
+        "location": {},
+        "name": "RestrictedNiceMonomorphism",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RestrictedPartitions"
+        ],
+        "location": {},
+        "name": "RestrictedPartitions",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Reversed"
+        ],
+        "location": {},
+        "name": "Reversed",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RewriteAbelianizedSubgroupRelators"
+        ],
+        "location": {},
+        "name": "RewriteAbelianizedSubgroupRelators",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RewriteStraightLineProgram"
+        ],
+        "location": {},
+        "name": "RewriteStraightLineProgram",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RewriteSubgroupRelators"
+        ],
+        "location": {},
+        "name": "RewriteSubgroupRelators",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RewriteWord"
+        ],
+        "location": {},
+        "name": "RewriteWord",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RightCosets"
+        ],
+        "location": {},
+        "name": "RightCosets",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RightIdeal"
+        ],
+        "location": {},
+        "name": "RightIdeal",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RightIdealNC"
+        ],
+        "location": {},
+        "name": "RightIdealNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RightMagmaCongruence"
+        ],
+        "location": {},
+        "name": "RightMagmaCongruence",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RightMagmaIdeal"
+        ],
+        "location": {},
+        "name": "RightMagmaIdeal",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Ring"
+        ],
+        "location": {},
+        "name": "Ring",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RingByStructureConstants"
+        ],
+        "location": {},
+        "name": "RingByStructureConstants",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RingHomomorphismByImages"
+        ],
+        "location": {},
+        "name": "RingHomomorphismByImages",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RingInt",
+            "RingOfIntegralCyclotomics"
+        ],
+        "location": {},
+        "name": "RingOfIntegralCyclotomics",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RingWithOne"
+        ],
+        "location": {},
+        "name": "RingWithOne",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RootBound"
+        ],
+        "location": {},
+        "name": "RootBound",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "RootInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RootMod"
+        ],
+        "location": {},
+        "name": "RootMod",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RootsFloat"
+        ],
+        "location": {},
+        "name": "RootsFloat",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RootsMod"
+        ],
+        "location": {},
+        "name": "RootsMod",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RootsOfPolynomial"
+        ],
+        "location": {},
+        "name": "RootsOfPolynomial",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RootsOfUPol"
+        ],
+        "location": {},
+        "name": "RootsOfUPol",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RootsRepresentativeFFPol"
+        ],
+        "location": {},
+        "name": "RootsRepresentativeFFPol",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RootsUnityMod"
+        ],
+        "location": {},
+        "name": "RootsUnityMod",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RunExamples"
+        ],
+        "location": {},
+        "name": "RunExamples",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "RunTests"
+        ],
+        "location": {},
+        "name": "RunTests",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SCMinSmaGens"
+        ],
+        "location": {},
+        "name": "SCMinSmaGens",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SCRExtend"
+        ],
+        "location": {},
+        "name": "SCRExtend",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SCRExtendRecord"
+        ],
+        "location": {},
+        "name": "SCRExtendRecord",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SCRMakeStabStrong"
+        ],
+        "location": {},
+        "name": "SCRMakeStabStrong",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SCRNotice"
+        ],
+        "location": {},
+        "name": "SCRNotice",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SCRRandomPerm"
+        ],
+        "location": {},
+        "name": "SCRRandomPerm",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SCRRandomString"
+        ],
+        "location": {},
+        "name": "SCRRandomString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SCRRandomSubproduct"
+        ],
+        "location": {},
+        "name": "SCRRandomSubproduct",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SCRRestoredRecord"
+        ],
+        "location": {},
+        "name": "SCRRestoredRecord",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SCRSchTree"
+        ],
+        "location": {},
+        "name": "SCRSchTree",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SCRSift"
+        ],
+        "location": {},
+        "name": "SCRSift",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SCRStrongGenTest"
+        ],
+        "location": {},
+        "name": "SCRStrongGenTest",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SCRStrongGenTest2"
+        ],
+        "location": {},
+        "name": "SCRStrongGenTest2",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SIMPLE_STRING"
+        ],
+        "location": {},
+        "name": "SIMPLE_STRING",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SLPChangesSlots"
+        ],
+        "location": {},
+        "name": "SLPChangesSlots",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SLPOfElm"
+        ],
+        "location": {},
+        "name": "SLPOfElm",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SLPOfElms"
+        ],
+        "location": {},
+        "name": "SLPOfElms",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SLPOnlyNeededLinesBackward"
+        ],
+        "location": {},
+        "name": "SLPOnlyNeededLinesBackward",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SLPReversedRenumbered"
+        ],
+        "location": {},
+        "name": "SLPReversedRenumbered",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SMALL_AVAILABLE"
+        ],
+        "location": {},
+        "name": "SMALL_AVAILABLE",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SNFofREF"
+        ],
+        "location": {},
+        "name": "SNFofREF",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SameBlock"
+        ],
+        "location": {},
+        "name": "SameBlock",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SchuMu"
+        ],
+        "location": {},
+        "name": "SchuMu",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SearchMR"
+        ],
+        "location": {},
+        "name": "SearchMR",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SearchMRBib"
+        ],
+        "location": {},
+        "name": "SearchMRBib",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SecHMSM"
+        ],
+        "location": {},
+        "name": "SecHMSM",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SecondaryGeneratorWordsAugmentedCosetTable"
+        ],
+        "location": {},
+        "name": "SecondaryGeneratorWordsAugmentedCosetTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SecondaryImagesAugmentedCosetTable"
+        ],
+        "location": {},
+        "name": "SecondaryImagesAugmentedCosetTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SecondsDMYhms"
+        ],
+        "location": {},
+        "name": "SecondsDMYhms",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SelectSmallGroups"
+        ],
+        "location": {},
+        "name": "SelectSmallGroups",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SemiEchelonMatsNoCo"
+        ],
+        "location": {},
+        "name": "SemiEchelonMatsNoCo",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Semigroup"
+        ],
+        "location": {},
+        "name": "Semigroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SemigroupByMultiplicationTable"
+        ],
+        "location": {},
+        "name": "SemigroupByMultiplicationTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Semiring"
+        ],
+        "location": {},
+        "name": "Semiring",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SemiringWithOne"
+        ],
+        "location": {},
+        "name": "SemiringWithOne",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SemiringWithOneAndZero"
+        ],
+        "location": {},
+        "name": "SemiringWithOneAndZero",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SemiringWithZero"
+        ],
+        "location": {},
+        "name": "SemiringWithZero",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetAssertionLevel"
+        ],
+        "location": {},
+        "name": "SetAssertionLevel",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetCanonicalRepresentativeOfExternalOrbitByPcgs"
+        ],
+        "location": {},
+        "name": "SetCanonicalRepresentativeOfExternalOrbitByPcgs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetCrystGroupDefaultAction"
+        ],
+        "location": {},
+        "name": "SetCrystGroupDefaultAction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetDefaultInfoOutput"
+        ],
+        "location": {},
+        "name": "SetDefaultInfoOutput",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetEntrySCTable"
+        ],
+        "location": {},
+        "name": "SetEntrySCTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetExecutionObject"
+        ],
+        "location": {},
+        "name": "SetExecutionObject",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetFloats"
+        ],
+        "location": {},
+        "name": "SetFloats",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetGAPDocTextTheme"
+        ],
+        "location": {},
+        "name": "SetGAPDocTextTheme",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetGapDocLanguage"
+        ],
+        "location": {},
+        "name": "SetGapDocLanguage",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetGasmanMessageStatus"
+        ],
+        "location": {},
+        "name": "SetGasmanMessageStatus",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetHelpViewer"
+        ],
+        "location": {},
+        "name": "SetHelpViewer",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetInducedPcgs"
+        ],
+        "location": {},
+        "name": "SetInducedPcgs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetInfoHandler"
+        ],
+        "location": {},
+        "name": "SetInfoHandler",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetInfoOutput"
+        ],
+        "location": {},
+        "name": "SetInfoOutput",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetNameObject"
+        ],
+        "location": {},
+        "name": "SetNameObject",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetPackageInfo"
+        ],
+        "location": {},
+        "name": "SetPackageInfo",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetPackagePath"
+        ],
+        "location": {},
+        "name": "SetPackagePath",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetReducedMultiplication"
+        ],
+        "location": {},
+        "name": "SetReducedMultiplication",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SetX"
+        ],
+        "location": {},
+        "name": "SetX",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ShortFileNameWindows"
+        ],
+        "location": {},
+        "name": "ShortFileNameWindows",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ShortestVectors"
+        ],
+        "location": {},
+        "name": "ShortestVectors",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ShowAdditionTable"
+        ],
+        "location": {},
+        "name": "ShowAdditionTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ShowGcd"
+        ],
+        "location": {},
+        "name": "ShowGcd",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ShowMultiplicationTable"
+        ],
+        "location": {},
+        "name": "ShowMultiplicationTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ShowPackageVariables"
+        ],
+        "location": {},
+        "name": "ShowPackageVariables",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SiftAsWord"
+        ],
+        "location": {},
+        "name": "SiftAsWord",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SiftedPermutation"
+        ],
+        "location": {},
+        "name": "SiftedPermutation",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SignInt"
+        ],
+        "location": {},
+        "name": "SignInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SignPartition"
+        ],
+        "location": {},
+        "name": "SignPartition",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SignPermGroup"
+        ],
+        "location": {},
+        "name": "SignPermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SimpleGroup"
+        ],
+        "location": {},
+        "name": "SimpleGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SimpleGroupsIterator"
+        ],
+        "location": {},
+        "name": "SimpleGroupsIterator",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SimpleLieAlgebra"
+        ],
+        "location": {},
+        "name": "SimpleLieAlgebra",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SimplexMethod"
+        ],
+        "location": {},
+        "name": "SimplexMethod",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SimplifiedFpGroup"
+        ],
+        "location": {},
+        "name": "SimplifiedFpGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SimplifiedUnicodeString"
+        ],
+        "location": {},
+        "name": "SimplifiedUnicodeString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SimultaneousEigenvalues"
+        ],
+        "location": {},
+        "name": "SimultaneousEigenvalues",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SingleCollectorByRelators"
+        ],
+        "location": {},
+        "name": "SingleCollectorByRelators",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SingleHTTPRequest"
+        ],
+        "location": {},
+        "name": "SingleHTTPRequest",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SizeConsiderFunction"
+        ],
+        "location": {},
+        "name": "SizeConsiderFunction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SizeGL"
+        ],
+        "location": {},
+        "name": "SizeGL",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SizeNumbersPerfectGroups"
+        ],
+        "location": {},
+        "name": "SizeNumbersPerfectGroups",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SizeOfFieldOfDefinition"
+        ],
+        "location": {},
+        "name": "SizeOfFieldOfDefinition",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SizeOfGLdZmodmZ"
+        ],
+        "location": {},
+        "name": "SizeOfGLdZmodmZ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SizePSL"
+        ],
+        "location": {},
+        "name": "SizePSL",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SizeSL"
+        ],
+        "location": {},
+        "name": "SizeSL",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SizeStabChain"
+        ],
+        "location": {},
+        "name": "SizeStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SizesPerfectGroups"
+        ],
+        "location": {},
+        "name": "SizesPerfectGroups",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SmallGroup"
+        ],
+        "location": {},
+        "name": "SmallGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SmallGroupsInformation"
+        ],
+        "location": {},
+        "name": "SmallGroupsInformation",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SmallRing"
+        ],
+        "location": {},
+        "name": "SmallRing",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SmallSimpleGroup"
+        ],
+        "location": {},
+        "name": "SmallSimpleGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SmallerDegreePermutationRepresentation"
+        ],
+        "location": {},
+        "name": "SmallerDegreePermutationRepresentation",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SmallestPrimeDivisor"
+        ],
+        "location": {},
+        "name": "SmallestPrimeDivisor",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SmallestRootInt"
+        ],
+        "location": {},
+        "name": "SmallestRootInt",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SolutionSQ"
+        ],
+        "location": {},
+        "name": "SolutionSQ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SolubleNormalClosurePermGroup",
+            "SolvableNormalClosurePermGroup"
+        ],
+        "location": {},
+        "name": "SolvableNormalClosurePermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SQ",
+            "SolubleQuotient",
+            "SolvableQuotient"
+        ],
+        "location": {},
+        "name": "SolvableQuotient",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SortFunctionWithMemory"
+        ],
+        "location": {},
+        "name": "SortFunctionWithMemory",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SortKeyRecBib"
+        ],
+        "location": {},
+        "name": "SortKeyRecBib",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SortRationalClasses"
+        ],
+        "location": {},
+        "name": "SortRationalClasses",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SortRelsSortedByStartGen"
+        ],
+        "location": {},
+        "name": "SortRelsSortedByStartGen",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SortedCharacterTable"
+        ],
+        "location": {},
+        "name": "SortedCharacterTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SpanningTree"
+        ],
+        "location": {},
+        "name": "SpanningTree",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SparseHashTable"
+        ],
+        "location": {},
+        "name": "SparseHashTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SpecializedExtRepPol"
+        ],
+        "location": {},
+        "name": "SpecializedExtRepPol",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SplitCell"
+        ],
+        "location": {},
+        "name": "SplitCell",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SplitCharacters"
+        ],
+        "location": {},
+        "name": "SplitCharacters",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SplitStep"
+        ],
+        "location": {},
+        "name": "SplitStep",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StabChain"
+        ],
+        "location": {},
+        "name": "StabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StabChainBaseStrongGenerators"
+        ],
+        "location": {},
+        "name": "StabChainBaseStrongGenerators",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StabChainForcePoint"
+        ],
+        "location": {},
+        "name": "StabChainForcePoint",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "StabChainPermGroupToPermGroupGeneralMappingByImages",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StabChainRandomPermGroup"
+        ],
+        "location": {},
+        "name": "StabChainRandomPermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StabChainStrong"
+        ],
+        "location": {},
+        "name": "StabChainStrong",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StabChainSwap"
+        ],
+        "location": {},
+        "name": "StabChainSwap",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Stabiliser",
+            "Stabilizer"
+        ],
+        "location": {},
+        "name": "Stabilizer",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StabiliserOfBlockNC",
+            "StabilizerOfBlockNC"
+        ],
+        "location": {},
+        "name": "StabilizerOfBlockNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StabiliserPcgs",
+            "StabilizerPcgs"
+        ],
+        "location": {},
+        "name": "StabilizerPcgs",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "StandardGeneratorsOfFullMatrixModule",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StandardScalarProduct"
+        ],
+        "location": {},
+        "name": "StandardScalarProduct",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StandardizeTable"
+        ],
+        "location": {},
+        "name": "StandardizeTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StandardizeTable2"
+        ],
+        "location": {},
+        "name": "StandardizeTable2",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StarCyc"
+        ],
+        "location": {},
+        "name": "StarCyc",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StartsWith"
+        ],
+        "location": {},
+        "name": "StartsWith",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Stirling1"
+        ],
+        "location": {},
+        "name": "Stirling1",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Stirling2"
+        ],
+        "location": {},
+        "name": "Stirling2",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StoreFactorsPol"
+        ],
+        "location": {},
+        "name": "StoreFactorsPol",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StoreFusion"
+        ],
+        "location": {},
+        "name": "StoreFusion",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StoreInfoFreeMagma"
+        ],
+        "location": {},
+        "name": "StoreInfoFreeMagma",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StraightLineProgElm"
+        ],
+        "location": {},
+        "name": "StraightLineProgElm",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StraightLineProgGens"
+        ],
+        "location": {},
+        "name": "StraightLineProgGens",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StraightLineProgram"
+        ],
+        "location": {},
+        "name": "StraightLineProgram",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StraightLineProgramNC"
+        ],
+        "location": {},
+        "name": "StraightLineProgramNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StratMeetPartition"
+        ],
+        "location": {},
+        "name": "StratMeetPartition",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StringBase64"
+        ],
+        "location": {},
+        "name": "StringBase64",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StringBibAsBib"
+        ],
+        "location": {},
+        "name": "StringBibAsBib",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StringBibAsHTML"
+        ],
+        "location": {},
+        "name": "StringBibAsHTML",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StringBibAsText"
+        ],
+        "location": {},
+        "name": "StringBibAsText",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StringBibAsXMLext"
+        ],
+        "location": {},
+        "name": "StringBibAsXMLext",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StringBibXMLEntry"
+        ],
+        "location": {},
+        "name": "StringBibXMLEntry",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StringDate"
+        ],
+        "location": {},
+        "name": "StringDate",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StringFactorizationWord"
+        ],
+        "location": {},
+        "name": "StringFactorizationWord",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StringFile"
+        ],
+        "location": {},
+        "name": "StringFile",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StringNumbers"
+        ],
+        "location": {},
+        "name": "StringNumbers",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StringOfResultOfStraightLineProgram"
+        ],
+        "location": {},
+        "name": "StringOfResultOfStraightLineProgram",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StringPP"
+        ],
+        "location": {},
+        "name": "StringPP",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StringPrint"
+        ],
+        "location": {},
+        "name": "StringPrint",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StringStreamInputTextFile"
+        ],
+        "location": {},
+        "name": "StringStreamInputTextFile",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StringTime"
+        ],
+        "location": {},
+        "name": "StringTime",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StringToStraightLineProgram"
+        ],
+        "location": {},
+        "name": "StringToStraightLineProgram",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StringView"
+        ],
+        "location": {},
+        "name": "StringView",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StripBeginEnd"
+        ],
+        "location": {},
+        "name": "StripBeginEnd",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StripEscapeSequences"
+        ],
+        "location": {},
+        "name": "StripEscapeSequences",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StripLineBreakCharacters"
+        ],
+        "location": {},
+        "name": "StripLineBreakCharacters",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StripStabChain"
+        ],
+        "location": {},
+        "name": "StripStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "StrongGeneratorsStabChain"
+        ],
+        "location": {},
+        "name": "StrongGeneratorsStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubFLMLOR",
+            "Subalgebra"
+        ],
+        "location": {},
+        "name": "SubFLMLOR",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubFLMLORNC",
+            "SubalgebraNC"
+        ],
+        "location": {},
+        "name": "SubFLMLORNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubFLMLORWithOne",
+            "SubalgebraWithOne"
+        ],
+        "location": {},
+        "name": "SubFLMLORWithOne",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubFLMLORWithOneNC",
+            "SubalgebraWithOneNC"
+        ],
+        "location": {},
+        "name": "SubFLMLORWithOneNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubdirProdPcGroups"
+        ],
+        "location": {},
+        "name": "SubdirProdPcGroups",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubdirectDiagonalPerms"
+        ],
+        "location": {},
+        "name": "SubdirectDiagonalPerms",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubdirectProduct"
+        ],
+        "location": {},
+        "name": "SubdirectProduct",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubdirectProducts"
+        ],
+        "location": {},
+        "name": "SubdirectProducts",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubdirectSubgroups"
+        ],
+        "location": {},
+        "name": "SubdirectSubgroups",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Subfield"
+        ],
+        "location": {},
+        "name": "Subfield",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubfieldNC"
+        ],
+        "location": {},
+        "name": "SubfieldNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubgroupByFittingFreeData"
+        ],
+        "location": {},
+        "name": "SubgroupByFittingFreeData",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubgroupByProperty"
+        ],
+        "location": {},
+        "name": "SubgroupByProperty",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubgroupGeneratorsCosetTable"
+        ],
+        "location": {},
+        "name": "SubgroupGeneratorsCosetTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubgroupOfWholeGroupByCosetTable"
+        ],
+        "location": {},
+        "name": "SubgroupOfWholeGroupByCosetTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubgroupOfWholeGroupByQuotientSubgroup"
+        ],
+        "location": {},
+        "name": "SubgroupOfWholeGroupByQuotientSubgroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubgroupProperty"
+        ],
+        "location": {},
+        "name": "SubgroupProperty",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubgroupShell"
+        ],
+        "location": {},
+        "name": "SubgroupShell",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubgroupsSolubleGroup",
+            "SubgroupsSolvableGroup"
+        ],
+        "location": {},
+        "name": "SubgroupsSolvableGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubgroupsTrivialFitting"
+        ],
+        "location": {},
+        "name": "SubgroupsTrivialFitting",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Submagma",
+            "Subsemigroup"
+        ],
+        "location": {},
+        "name": "Submagma",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubmagmaNC",
+            "SubsemigroupNC"
+        ],
+        "location": {},
+        "name": "SubmagmaNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Subgroup",
+            "SubmagmaWithInverses"
+        ],
+        "location": {},
+        "name": "SubmagmaWithInverses",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubgroupNC",
+            "SubmagmaWithInversesNC"
+        ],
+        "location": {},
+        "name": "SubmagmaWithInversesNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubmagmaWithOne",
+            "Submonoid"
+        ],
+        "location": {},
+        "name": "SubmagmaWithOne",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubmagmaWithOneNC",
+            "SubmonoidNC"
+        ],
+        "location": {},
+        "name": "SubmagmaWithOneNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Submodule",
+            "Subspace"
+        ],
+        "location": {},
+        "name": "Submodule",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubmoduleNC",
+            "SubspaceNC"
+        ],
+        "location": {},
+        "name": "SubmoduleNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubadditiveGroup",
+            "SubadditiveMagmaWithInverses",
+            "SubnearAdditiveGroup",
+            "SubnearAdditiveMagmaWithInverses"
+        ],
+        "location": {},
+        "name": "SubnearAdditiveGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubadditiveGroupNC",
+            "SubadditiveMagmaWithInversesNC",
+            "SubnearAdditiveGroupNC",
+            "SubnearAdditiveMagmaWithInversesNC"
+        ],
+        "location": {},
+        "name": "SubnearAdditiveGroupNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubadditiveMagma",
+            "SubnearAdditiveMagma"
+        ],
+        "location": {},
+        "name": "SubnearAdditiveMagma",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubadditiveMagmaNC",
+            "SubnearAdditiveMagmaNC"
+        ],
+        "location": {},
+        "name": "SubnearAdditiveMagmaNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubadditiveMagmaWithZero",
+            "SubnearAdditiveMagmaWithZero"
+        ],
+        "location": {},
+        "name": "SubnearAdditiveMagmaWithZero",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubadditiveMagmaWithZeroNC",
+            "SubnearAdditiveMagmaWithZeroNC"
+        ],
+        "location": {},
+        "name": "SubnearAdditiveMagmaWithZeroNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SuboLiBli"
+        ],
+        "location": {},
+        "name": "SuboLiBli",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SuboSiBli"
+        ],
+        "location": {},
+        "name": "SuboSiBli",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SuboTruePos"
+        ],
+        "location": {},
+        "name": "SuboTruePos",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SuboUniteBlist"
+        ],
+        "location": {},
+        "name": "SuboUniteBlist",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Suborbits"
+        ],
+        "location": {},
+        "name": "Suborbits",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Subring"
+        ],
+        "location": {},
+        "name": "Subring",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubringNC"
+        ],
+        "location": {},
+        "name": "SubringNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubringWithOne"
+        ],
+        "location": {},
+        "name": "SubringWithOne",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubringWithOneNC"
+        ],
+        "location": {},
+        "name": "SubringWithOneNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Subsemiring"
+        ],
+        "location": {},
+        "name": "Subsemiring",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubsemiringNC"
+        ],
+        "location": {},
+        "name": "SubsemiringNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubsemiringWithOne"
+        ],
+        "location": {},
+        "name": "SubsemiringWithOne",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubsemiringWithOneAndZero"
+        ],
+        "location": {},
+        "name": "SubsemiringWithOneAndZero",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubsemiringWithOneAndZeroNC"
+        ],
+        "location": {},
+        "name": "SubsemiringWithOneAndZeroNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubsemiringWithOneNC"
+        ],
+        "location": {},
+        "name": "SubsemiringWithOneNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubsemiringWithZero"
+        ],
+        "location": {},
+        "name": "SubsemiringWithZero",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubsemiringWithZeroNC"
+        ],
+        "location": {},
+        "name": "SubsemiringWithZeroNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubspaceVectorSpaceGroup"
+        ],
+        "location": {},
+        "name": "SubspaceVectorSpaceGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubstituteEscapeSequences"
+        ],
+        "location": {},
+        "name": "SubstituteEscapeSequences",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubstitutionSublist"
+        ],
+        "location": {},
+        "name": "SubstitutionSublist",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SubtractBlistOrbitStabChain"
+        ],
+        "location": {},
+        "name": "SubtractBlistOrbitStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SufficientlySmallDegreeSimpleGroupOrder"
+        ],
+        "location": {},
+        "name": "SufficientlySmallDegreeSimpleGroupOrder",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SuggestUpgrades"
+        ],
+        "location": {},
+        "name": "SuggestUpgrades",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Sum"
+        ],
+        "location": {},
+        "name": "Sum",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SumCoefPolynomial"
+        ],
+        "location": {},
+        "name": "SumCoefPolynomial",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SumCoefRatfun"
+        ],
+        "location": {},
+        "name": "SumCoefRatfun",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SumRootsPol"
+        ],
+        "location": {},
+        "name": "SumRootsPol",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SumX"
+        ],
+        "location": {},
+        "name": "SumX",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SummandMolienSeries"
+        ],
+        "location": {},
+        "name": "SummandMolienSeries",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SupersolvableResiduumDefault"
+        ],
+        "location": {},
+        "name": "SupersolvableResiduumDefault",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SylowSubgroupPermGroup"
+        ],
+        "location": {},
+        "name": "SylowSubgroupPermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SymmetricParts"
+        ],
+        "location": {},
+        "name": "SymmetricParts",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SymplecticComponents"
+        ],
+        "location": {},
+        "name": "SymplecticComponents",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TFEvalRFHom"
+        ],
+        "location": {},
+        "name": "TFEvalRFHom",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TFMakeInducedPcgsModulo"
+        ],
+        "location": {},
+        "name": "TFMakeInducedPcgsModulo",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TYPE_MAT8BIT"
+        ],
+        "location": {},
+        "name": "TYPE_MAT8BIT",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TYPE_VEC8BIT"
+        ],
+        "location": {},
+        "name": "TYPE_VEC8BIT",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TYPE_VEC8BIT_LOCKED"
+        ],
+        "location": {},
+        "name": "TYPE_VEC8BIT_LOCKED",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "TableOfMarksByLattice",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TailOfPcgsPermGroup"
+        ],
+        "location": {},
+        "name": "TailOfPcgsPermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TemplateBibXML"
+        ],
+        "location": {},
+        "name": "TemplateBibXML",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TemporaryGlobalVarName"
+        ],
+        "location": {},
+        "name": "TemporaryGlobalVarName",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TensorProduct"
+        ],
+        "location": {},
+        "name": "TensorProduct",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TensorProductGModule"
+        ],
+        "location": {},
+        "name": "TensorProductGModule",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TensorWreathProduct"
+        ],
+        "location": {},
+        "name": "TensorWreathProduct",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Test"
+        ],
+        "location": {},
+        "name": "Test",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TestConsistencyMaps"
+        ],
+        "location": {},
+        "name": "TestConsistencyMaps",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TestDirectory"
+        ],
+        "location": {},
+        "name": "TestDirectory",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TestExamplesString"
+        ],
+        "location": {},
+        "name": "TestExamplesString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TestHomogeneous"
+        ],
+        "location": {},
+        "name": "TestHomogeneous",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TestInducedFromNormalSubgroup"
+        ],
+        "location": {},
+        "name": "TestInducedFromNormalSubgroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TestJacobi"
+        ],
+        "location": {},
+        "name": "TestJacobi",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TestManualExamples"
+        ],
+        "location": {},
+        "name": "TestManualExamples",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TestModulesFitTogether"
+        ],
+        "location": {},
+        "name": "TestModulesFitTogether",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TestPackage"
+        ],
+        "location": {},
+        "name": "TestPackage",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TestPackageAvailability"
+        ],
+        "location": {},
+        "name": "TestPackageAvailability",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TestPerm1"
+        ],
+        "location": {},
+        "name": "TestPerm1",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TestPerm2"
+        ],
+        "location": {},
+        "name": "TestPerm2",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TestPerm3"
+        ],
+        "location": {},
+        "name": "TestPerm3",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TestPerm4"
+        ],
+        "location": {},
+        "name": "TestPerm4",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TestPerm5"
+        ],
+        "location": {},
+        "name": "TestPerm5",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TextM"
+        ],
+        "location": {},
+        "name": "TextM",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TmpNameAllArchs"
+        ],
+        "location": {},
+        "name": "TmpNameAllArchs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TomDataMaxesAlmostSimple"
+        ],
+        "location": {},
+        "name": "TomDataMaxesAlmostSimple",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TomDataSubgroupsAlmostSimple"
+        ],
+        "location": {},
+        "name": "TomDataSubgroupsAlmostSimple",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TraceModQF"
+        ],
+        "location": {},
+        "name": "TraceModQF",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TracedCosetFpGroup"
+        ],
+        "location": {},
+        "name": "TracedCosetFpGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TransStabCSPG"
+        ],
+        "location": {},
+        "name": "TransStabCSPG",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TransferDiagram"
+        ],
+        "location": {},
+        "name": "TransferDiagram",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TransformationAction"
+        ],
+        "location": {},
+        "name": "TransformationAction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TransformationActionHomomorphism"
+        ],
+        "location": {},
+        "name": "TransformationActionHomomorphism",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TransformationActionHomomorphismNC"
+        ],
+        "location": {},
+        "name": "TransformationActionHomomorphismNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TransformationActionNC"
+        ],
+        "location": {},
+        "name": "TransformationActionNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TransitiveGroup"
+        ],
+        "location": {},
+        "name": "TransitiveGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TreeRepresentedWord"
+        ],
+        "location": {},
+        "name": "TreeRepresentedWord",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TrialQuotientRPF"
+        ],
+        "location": {},
+        "name": "TrialQuotientRPF",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TriangulizedGeneratorsByMatrix"
+        ],
+        "location": {},
+        "name": "TriangulizedGeneratorsByMatrix",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TrimStabChain"
+        ],
+        "location": {},
+        "name": "TrimStabChain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TrivialGModule"
+        ],
+        "location": {},
+        "name": "TrivialGModule",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TrivialIterator"
+        ],
+        "location": {},
+        "name": "TrivialIterator",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TrivialModule"
+        ],
+        "location": {},
+        "name": "TrivialModule",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TrivialPartition"
+        ],
+        "location": {},
+        "name": "TrivialPartition",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TryCombinations"
+        ],
+        "location": {},
+        "name": "TryCombinations",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TryGcdCancelExtRepPolynomials"
+        ],
+        "location": {},
+        "name": "TryGcdCancelExtRepPolynomials",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TryLayerSQ"
+        ],
+        "location": {},
+        "name": "TryLayerSQ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TryModuleSQ"
+        ],
+        "location": {},
+        "name": "TryModuleSQ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TryPcgsPermGroup"
+        ],
+        "location": {},
+        "name": "TryPcgsPermGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TrySecondaryImages"
+        ],
+        "location": {},
+        "name": "TrySecondaryImages",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Tschirnhausen"
+        ],
+        "location": {},
+        "name": "Tschirnhausen",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Tuples"
+        ],
+        "location": {},
+        "name": "Tuples",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TwoCoboundariesSQ"
+        ],
+        "location": {},
+        "name": "TwoCoboundariesSQ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TwoCocyclesSQ"
+        ],
+        "location": {},
+        "name": "TwoCocyclesSQ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TwoCohomologySQ"
+        ],
+        "location": {},
+        "name": "TwoCohomologySQ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TwoSeqPol"
+        ],
+        "location": {},
+        "name": "TwoSeqPol",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Ideal",
+            "TwoSidedIdeal"
+        ],
+        "location": {},
+        "name": "TwoSidedIdeal",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "IdealNC",
+            "TwoSidedIdealNC"
+        ],
+        "location": {},
+        "name": "TwoSidedIdealNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TwoSquares"
+        ],
+        "location": {},
+        "name": "TwoSquares",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TypeOfDefaultGeneralMapping"
+        ],
+        "location": {},
+        "name": "TypeOfDefaultGeneralMapping",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzCheckRecord"
+        ],
+        "location": {},
+        "name": "TzCheckRecord",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzEliminate"
+        ],
+        "location": {},
+        "name": "TzEliminate",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzEliminateFromTree"
+        ],
+        "location": {},
+        "name": "TzEliminateFromTree",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzEliminateGen"
+        ],
+        "location": {},
+        "name": "TzEliminateGen",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzEliminateGen1"
+        ],
+        "location": {},
+        "name": "TzEliminateGen1",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzEliminateGens"
+        ],
+        "location": {},
+        "name": "TzEliminateGens",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzFindCyclicJoins"
+        ],
+        "location": {},
+        "name": "TzFindCyclicJoins",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzGeneratorExponents"
+        ],
+        "location": {},
+        "name": "TzGeneratorExponents",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "SimplifyPresentation",
+            "TzGo"
+        ],
+        "location": {},
+        "name": "TzGo",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzGoGo"
+        ],
+        "location": {},
+        "name": "TzGoGo",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzHandleLength1Or2Relators"
+        ],
+        "location": {},
+        "name": "TzHandleLength1Or2Relators",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzImagesOldGens"
+        ],
+        "location": {},
+        "name": "TzImagesOldGens",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzInitGeneratorImages"
+        ],
+        "location": {},
+        "name": "TzInitGeneratorImages",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzMostFrequentPairs"
+        ],
+        "location": {},
+        "name": "TzMostFrequentPairs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzNewGenerator"
+        ],
+        "location": {},
+        "name": "TzNewGenerator",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzPreImagesNewGens"
+        ],
+        "location": {},
+        "name": "TzPreImagesNewGens",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzPrint"
+        ],
+        "location": {},
+        "name": "TzPrint",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzPrintGeneratorImages"
+        ],
+        "location": {},
+        "name": "TzPrintGeneratorImages",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzPrintGenerators"
+        ],
+        "location": {},
+        "name": "TzPrintGenerators",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzPrintLengths"
+        ],
+        "location": {},
+        "name": "TzPrintLengths",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzPrintOptions"
+        ],
+        "location": {},
+        "name": "TzPrintOptions",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzPrintPairs"
+        ],
+        "location": {},
+        "name": "TzPrintPairs",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzPrintPresentation"
+        ],
+        "location": {},
+        "name": "TzPrintPresentation",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzPrintRelators"
+        ],
+        "location": {},
+        "name": "TzPrintRelators",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzPrintStatus"
+        ],
+        "location": {},
+        "name": "TzPrintStatus",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzRelator"
+        ],
+        "location": {},
+        "name": "TzRelator",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzRemoveGenerators"
+        ],
+        "location": {},
+        "name": "TzRemoveGenerators",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzSearch"
+        ],
+        "location": {},
+        "name": "TzSearch",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzSearchEqual"
+        ],
+        "location": {},
+        "name": "TzSearchEqual",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzSort"
+        ],
+        "location": {},
+        "name": "TzSort",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzSubstitute"
+        ],
+        "location": {},
+        "name": "TzSubstitute",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzSubstituteCyclicJoins"
+        ],
+        "location": {},
+        "name": "TzSubstituteCyclicJoins",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzSubstituteWord"
+        ],
+        "location": {},
+        "name": "TzSubstituteWord",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "TzUpdateGeneratorImages"
+        ],
+        "location": {},
+        "name": "TzUpdateGeneratorImages",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "USER_HOME_EXPAND"
+        ],
+        "location": {},
+        "name": "USER_HOME_EXPAND",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "UnInstallCharReadHookFunc"
+        ],
+        "location": {},
+        "name": "UnInstallCharReadHookFunc",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "UnbindGlobal"
+        ],
+        "location": {},
+        "name": "UnbindGlobal",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "UndoRefinement"
+        ],
+        "location": {},
+        "name": "UndoRefinement",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "UnhideGlobalVariables"
+        ],
+        "location": {},
+        "name": "UnhideGlobalVariables",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "Union"
+        ],
+        "location": {},
+        "name": "Union",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "UnionBlist"
+        ],
+        "location": {},
+        "name": "UnionBlist",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "UnionIfCanEasilySortElements"
+        ],
+        "location": {},
+        "name": "UnionIfCanEasilySortElements",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "UnivariateRationalFunctionByExtRep",
+            "UnivariateRationalFunctionByExtRepNC"
+        ],
+        "location": {},
+        "name": "UnivariateRationalFunctionByExtRepNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "UnivariatenessTestRationalFunction"
+        ],
+        "location": {},
+        "name": "UnivariatenessTestRationalFunction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "UnloadSmallGroupsData"
+        ],
+        "location": {},
+        "name": "UnloadSmallGroupsData",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "UnlockNaturalHomomorphismsPool"
+        ],
+        "location": {},
+        "name": "UnlockNaturalHomomorphismsPool",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "UnmarkObject"
+        ],
+        "location": {},
+        "name": "UnmarkObject",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "UnorderedTuples"
+        ],
+        "location": {},
+        "name": "UnorderedTuples",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "UnslicedPerm@"
+        ],
+        "location": {},
+        "name": "UnslicedPerm@",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "UpdateMap"
+        ],
+        "location": {},
+        "name": "UpdateMap",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "UppercaseString"
+        ],
+        "location": {},
+        "name": "UppercaseString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "UppercaseUnicodeString"
+        ],
+        "location": {},
+        "name": "UppercaseUnicodeString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ValidatePackageInfo"
+        ],
+        "location": {},
+        "name": "ValidatePackageInfo",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ValueCochain"
+        ],
+        "location": {},
+        "name": "ValueCochain",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ValueGlobal"
+        ],
+        "location": {},
+        "name": "ValueGlobal",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ValueMolienSeries"
+        ],
+        "location": {},
+        "name": "ValueMolienSeries",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ValueOption"
+        ],
+        "location": {},
+        "name": "ValueOption",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "VectorSearchTable"
+        ],
+        "location": {},
+        "name": "VectorSearchTable",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "VectorSpace"
+        ],
+        "location": {},
+        "name": "VectorSpace",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "VectorSpaceByPcgsOfElementaryAbelianGroup"
+        ],
+        "location": {},
+        "name": "VectorSpaceByPcgsOfElementaryAbelianGroup",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "VerifySGS"
+        ],
+        "location": {},
+        "name": "VerifySGS",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "VerifyStabiliser",
+            "VerifyStabilizer"
+        ],
+        "location": {},
+        "name": "VerifyStabilizer",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "WedgeGModule"
+        ],
+        "location": {},
+        "name": "WedgeGModule",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "WeekDay"
+        ],
+        "location": {},
+        "name": "WeekDay",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "WidthUTF8String"
+        ],
+        "location": {},
+        "name": "WidthUTF8String",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "WordAlp"
+        ],
+        "location": {},
+        "name": "WordAlp",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "WordsString"
+        ],
+        "location": {},
+        "name": "WordsString",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "WrapTextAttribute"
+        ],
+        "location": {},
+        "name": "WrapTextAttribute",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "WreathActionChiefFactor"
+        ],
+        "location": {},
+        "name": "WreathActionChiefFactor",
+        "type": "GAP_Function"
+    },
+    {
+        "location": {},
+        "name": "WreathProductImprimitiveAction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "WreathProductProductAction"
+        ],
+        "location": {},
+        "name": "WreathProductProductAction",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "WriteBibFile"
+        ],
+        "location": {},
+        "name": "WriteBibFile",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "WriteBibXMLextFile"
+        ],
+        "location": {},
+        "name": "WriteBibXMLextFile",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "XMLElements"
+        ],
+        "location": {},
+        "name": "XMLElements",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ZevData"
+        ],
+        "location": {},
+        "name": "ZevData",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ZevDataValue"
+        ],
+        "location": {},
+        "name": "ZevDataValue",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ZmodnZ"
+        ],
+        "location": {},
+        "name": "ZmodnZ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ZmodnZeps"
+        ],
+        "location": {},
+        "name": "ZmodnZeps",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ZmodnZepsObj"
+        ],
+        "location": {},
+        "name": "ZmodnZepsObj",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ZmodpZ"
+        ],
+        "location": {},
+        "name": "ZmodpZ",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ZmodpZNC"
+        ],
+        "location": {},
+        "name": "ZmodpZNC",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "ZumbroichBase"
+        ],
+        "location": {},
+        "name": "ZumbroichBase",
+        "type": "GAP_Function"
+    },
+    {
+        "aka": [
+            "HasIsAdditiveGroupGeneralMapping"
+        ],
+        "conjunction_of": [
+            "Tester(RespectsAddition)",
+            "Tester(RespectsAdditiveInverses)"
+        ],
+        "name": "((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsAdditiveGroupHomomorphism"
+        ],
+        "conjunction_of": [
+            "Tester(IsTotal)",
+            "Tester(IsSingleValued)",
+            "Tester(RespectsAddition)",
+            "Tester(RespectsAdditiveInverses)"
+        ],
+        "name": "(((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsAdditiveGroupToGroupGeneralMapping"
+        ],
+        "conjunction_of": [
+            "Tester(TransformsAdditionIntoMultiplication)",
+            "Tester(TransformsAdditiveInversesIntoInverses)"
+        ],
+        "name": "((IsObject and Tester(TransformsAdditionIntoMultiplication)) and Tester(TransformsAdditiveInversesIntoInverses))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsAdditiveGroupToGroupHomomorphism"
+        ],
+        "conjunction_of": [
+            "Tester(IsTotal)",
+            "Tester(IsSingleValued)",
+            "Tester(TransformsAdditionIntoMultiplication)",
+            "Tester(TransformsAdditiveInversesIntoInverses)"
+        ],
+        "name": "(((IsObject and Tester(TransformsAdditionIntoMultiplication)) and Tester(TransformsAdditiveInversesIntoInverses)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsAlgebraGeneralMapping"
+        ],
+        "conjunction_of": [
+            "Tester(RespectsMultiplication)",
+            "Tester(RespectsAddition)",
+            "Tester(RespectsAdditiveInverses)",
+            "Tester(RespectsScalarMultiplication)"
+        ],
+        "name": "(((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses))) and (((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses)) and Tester(RespectsScalarMultiplication)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsAlgebraHomomorphism"
+        ],
+        "conjunction_of": [
+            "Tester(IsTotal)",
+            "Tester(IsSingleValued)",
+            "Tester(RespectsMultiplication)",
+            "Tester(RespectsAddition)",
+            "Tester(RespectsAdditiveInverses)",
+            "Tester(RespectsScalarMultiplication)"
+        ],
+        "name": "((((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses))) and (((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses)) and Tester(RespectsScalarMultiplication))) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsAlgebraWithOneGeneralMapping"
+        ],
+        "conjunction_of": [
+            "Tester(RespectsMultiplication)",
+            "Tester(RespectsOne)",
+            "Tester(RespectsAddition)",
+            "Tester(RespectsAdditiveInverses)",
+            "Tester(RespectsScalarMultiplication)"
+        ],
+        "name": "((((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses))) and (((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses)) and Tester(RespectsScalarMultiplication))) and Tester(RespectsOne))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsAlgebraWithOneHomomorphism"
+        ],
+        "conjunction_of": [
+            "Tester(IsTotal)",
+            "Tester(IsSingleValued)",
+            "Tester(RespectsMultiplication)",
+            "Tester(RespectsOne)",
+            "Tester(RespectsAddition)",
+            "Tester(RespectsAdditiveInverses)",
+            "Tester(RespectsScalarMultiplication)"
+        ],
+        "name": "(((((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses))) and (((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses)) and Tester(RespectsScalarMultiplication))) and Tester(RespectsOne)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsBijective"
+        ],
+        "conjunction_of": [
+            "Tester(IsTotal)",
+            "Tester(IsSingleValued)",
+            "Tester(IsInjective)",
+            "Tester(IsSurjective)"
+        ],
+        "name": "(((Tester(IsSingleValued) and Tester(IsTotal)) and Tester(IsInjective)) and Tester(IsSurjective))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsConjugatorAutomorphism"
+        ],
+        "conjunction_of": [
+            "Tester(IsEndoGeneralMapping)",
+            "Tester(IsConjugatorIsomorphism)"
+        ],
+        "name": "(Tester(IsEndoGeneralMapping) and Tester(IsConjugatorIsomorphism))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsDistributive"
+        ],
+        "conjunction_of": [
+            "Tester(IsLDistributive)",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(Tester(IsLDistributive) and Tester(IsRDistributive))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsDivisionRing"
+        ],
+        "conjunction_of": [
+            "Tester(IsNonTrivial)",
+            "Tester(IsLeftActedOnByDivisionRing)",
+            "Tester(IsAssociative)",
+            "Tester(IsAdditivelyCommutative)",
+            "Tester(IsLDistributive)",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(((((IsObject and (((((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and IsObject) and ((((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive))) and IsObject)) and IsObject)) and ((((((((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and IsObject) and IsObject) and IsObject) and IsObject) and IsObject) and Tester(IsLeftActedOnByDivisionRing))) and Tester(IsNonTrivial)) and Tester(IsAssociative)) and IsObject)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsDuplicateFreeList"
+        ],
+        "conjunction_of": [
+            "Tester(IsDuplicateFree)"
+        ],
+        "name": "(Tester(IsDuplicateFree) and IsObject)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsEndoMapping"
+        ],
+        "conjunction_of": [
+            "Tester(IsEndoGeneralMapping)",
+            "Tester(IsTotal)",
+            "Tester(IsSingleValued)"
+        ],
+        "name": "(((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)) and Tester(IsEndoGeneralMapping))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsField"
+        ],
+        "conjunction_of": [
+            "Tester(IsNonTrivial)",
+            "Tester(IsLeftActedOnByDivisionRing)",
+            "Tester(IsAssociative)",
+            "Tester(IsCommutative)",
+            "Tester(IsAdditivelyCommutative)",
+            "Tester(IsLDistributive)",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "((((((IsObject and (((((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and IsObject) and ((((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive))) and IsObject)) and IsObject)) and ((((((((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and IsObject) and IsObject) and IsObject) and IsObject) and IsObject) and Tester(IsLeftActedOnByDivisionRing))) and Tester(IsNonTrivial)) and Tester(IsAssociative)) and IsObject) and Tester(IsCommutative))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsGroupGeneralMapping"
+        ],
+        "conjunction_of": [
+            "Tester(RespectsMultiplication)",
+            "Tester(RespectsInverses)"
+        ],
+        "name": "((IsObject and Tester(RespectsMultiplication)) and Tester(RespectsInverses))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsGroupHomomorphism"
+        ],
+        "conjunction_of": [
+            "Tester(IsTotal)",
+            "Tester(IsSingleValued)",
+            "Tester(RespectsMultiplication)",
+            "Tester(RespectsInverses)"
+        ],
+        "name": "(((IsObject and Tester(RespectsMultiplication)) and Tester(RespectsInverses)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsGroupToAdditiveGroupGeneralMapping"
+        ],
+        "conjunction_of": [
+            "Tester(TransformsMultiplicationIntoAddition)",
+            "Tester(TransformsInversesIntoAdditiveInverses)"
+        ],
+        "name": "((IsObject and Tester(TransformsMultiplicationIntoAddition)) and Tester(TransformsInversesIntoAdditiveInverses))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsGroupToAdditiveGroupHomomorphism"
+        ],
+        "conjunction_of": [
+            "Tester(IsTotal)",
+            "Tester(IsSingleValued)",
+            "Tester(TransformsMultiplicationIntoAddition)",
+            "Tester(TransformsInversesIntoAdditiveInverses)"
+        ],
+        "name": "(((IsObject and Tester(TransformsMultiplicationIntoAddition)) and Tester(TransformsInversesIntoAdditiveInverses)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsLeftModuleGeneralMapping"
+        ],
+        "conjunction_of": [
+            "Tester(RespectsAddition)",
+            "Tester(RespectsAdditiveInverses)",
+            "Tester(RespectsScalarMultiplication)"
+        ],
+        "name": "(((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses)) and Tester(RespectsScalarMultiplication))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsLeftModuleHomomorphism"
+        ],
+        "conjunction_of": [
+            "Tester(IsTotal)",
+            "Tester(IsSingleValued)",
+            "Tester(RespectsAddition)",
+            "Tester(RespectsAdditiveInverses)",
+            "Tester(RespectsScalarMultiplication)"
+        ],
+        "name": "((((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses)) and Tester(RespectsScalarMultiplication)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsLieAlgebra"
+        ],
+        "conjunction_of": [
+            "Tester(IsLeftActedOnByDivisionRing)",
+            "Tester(IsAdditivelyCommutative)",
+            "Tester(IsLDistributive)",
+            "Tester(IsRDistributive)",
+            "Tester(IsJacobianRing)",
+            "Tester(IsZeroSquaredRing)"
+        ],
+        "name": "(((((((((((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and IsObject) and IsObject) and IsObject) and IsObject) and IsObject) and Tester(IsLeftActedOnByDivisionRing)) and (((((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and IsObject) and (((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive)))) and IsObject)) and Tester(IsZeroSquaredRing)) and Tester(IsJacobianRing))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsMagmaHomomorphism"
+        ],
+        "conjunction_of": [
+            "Tester(IsTotal)",
+            "Tester(IsSingleValued)",
+            "Tester(RespectsMultiplication)"
+        ],
+        "name": "(((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)) and Tester(RespectsMultiplication))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsMapping"
+        ],
+        "conjunction_of": [
+            "Tester(IsTotal)",
+            "Tester(IsSingleValued)"
+        ],
+        "name": "((IsObject and Tester(IsTotal)) and Tester(IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsMonoid"
+        ],
+        "conjunction_of": [
+            "Tester(IsAssociative)"
+        ],
+        "name": "(IsObject and Tester(IsAssociative))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsNearRing"
+        ],
+        "conjunction_of": [
+            "Tester(IsAssociative)",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "((IsObject and Tester(IsRDistributive)) and Tester(IsAssociative))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsNearRingWithOne"
+        ],
+        "conjunction_of": [
+            "Tester(IsAssociative)",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(((IsObject and Tester(IsRDistributive)) and Tester(IsAssociative)) and IsObject)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsReesMatrixSubsemigroup"
+        ],
+        "conjunction_of": [
+            "Tester(IsAssociative)"
+        ],
+        "name": "((IsObject and Tester(IsAssociative)) and IsObject)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsReesZeroMatrixSubsemigroup"
+        ],
+        "conjunction_of": [
+            "Tester(IsAssociative)"
+        ],
+        "name": "((IsObject and Tester(IsAssociative)) and IsObject)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsRing"
+        ],
+        "conjunction_of": [
+            "Tester(IsAdditivelyCommutative)",
+            "Tester(IsLDistributive)",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsRingGeneralMapping"
+        ],
+        "conjunction_of": [
+            "Tester(RespectsMultiplication)",
+            "Tester(RespectsAddition)",
+            "Tester(RespectsAdditiveInverses)"
+        ],
+        "name": "((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsRingHomomorphism"
+        ],
+        "conjunction_of": [
+            "Tester(IsTotal)",
+            "Tester(IsSingleValued)",
+            "Tester(RespectsMultiplication)",
+            "Tester(RespectsAddition)",
+            "Tester(RespectsAdditiveInverses)"
+        ],
+        "name": "(((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses))) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsRingWithOne"
+        ],
+        "conjunction_of": [
+            "Tester(IsAdditivelyCommutative)",
+            "Tester(IsLDistributive)",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "((((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive))) and IsObject)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsRingWithOneGeneralMapping"
+        ],
+        "conjunction_of": [
+            "Tester(RespectsMultiplication)",
+            "Tester(RespectsOne)",
+            "Tester(RespectsAddition)",
+            "Tester(RespectsAdditiveInverses)"
+        ],
+        "name": "(((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses))) and Tester(RespectsOne))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsRingWithOneHomomorphism"
+        ],
+        "conjunction_of": [
+            "Tester(IsTotal)",
+            "Tester(IsSingleValued)",
+            "Tester(RespectsMultiplication)",
+            "Tester(RespectsOne)",
+            "Tester(RespectsAddition)",
+            "Tester(RespectsAdditiveInverses)"
+        ],
+        "name": "((((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(RespectsAddition)) and Tester(RespectsAdditiveInverses))) and Tester(RespectsOne)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsSemigroup"
+        ],
+        "conjunction_of": [
+            "Tester(IsAssociative)"
+        ],
+        "name": "(IsObject and Tester(IsAssociative))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsSemigroupGeneralMapping"
+        ],
+        "conjunction_of": [
+            "Tester(RespectsMultiplication)"
+        ],
+        "name": "(IsObject and Tester(RespectsMultiplication))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsSemigroupHomomorphism"
+        ],
+        "conjunction_of": [
+            "Tester(IsTotal)",
+            "Tester(IsSingleValued)",
+            "Tester(RespectsMultiplication)"
+        ],
+        "name": "((IsObject and Tester(RespectsMultiplication)) and ((IsObject and Tester(IsTotal)) and Tester(IsSingleValued)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsSemiring"
+        ],
+        "conjunction_of": [
+            "Tester(IsAdditivelyCommutative)",
+            "Tester(IsLDistributive)",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(((IsObject and Tester(IsAdditivelyCommutative)) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsSemiringWithOne"
+        ],
+        "conjunction_of": [
+            "Tester(IsAdditivelyCommutative)",
+            "Tester(IsLDistributive)",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(((IsObject and Tester(IsAdditivelyCommutative)) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsSemiringWithOneAndZero"
+        ],
+        "conjunction_of": [
+            "Tester(IsAdditivelyCommutative)",
+            "Tester(IsLDistributive)",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsSemiringWithZero"
+        ],
+        "conjunction_of": [
+            "Tester(IsAdditivelyCommutative)",
+            "Tester(IsLDistributive)",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(((IsObject and (IsObject and Tester(IsAdditivelyCommutative))) and IsObject) and (Tester(IsLDistributive) and Tester(IsRDistributive)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsSubmonoidFpMonoid"
+        ],
+        "conjunction_of": [
+            "Tester(IsAssociative)"
+        ],
+        "name": "((IsObject and Tester(IsAssociative)) and IsObject)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsSubsemigroupFpSemigroup"
+        ],
+        "conjunction_of": [
+            "Tester(IsAssociative)"
+        ],
+        "name": "((IsObject and Tester(IsAssociative)) and IsObject)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsUnivariatePolynomial"
+        ],
+        "conjunction_of": [
+            "Tester(IsPolynomial)",
+            "Tester(IsUnivariateRationalFunction)"
+        ],
+        "name": "(Tester(IsPolynomial) and Tester(IsUnivariateRationalFunction))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "HasIsZeroRationalFunction"
+        ],
+        "conjunction_of": [
+            "Tester(IsZero)"
+        ],
+        "name": "(Tester(IsZero) and IsObject)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsANFAutomorphism"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "IsInjective",
+            "Tester(IsInjective)",
+            "IsSurjective",
+            "Tester(IsSurjective)",
+            "IsFieldHomomorphism",
+            "Tester(IsFieldHomomorphism)",
+            "IsANFAutomorphismRep"
+        ],
+        "name": "(((IsANFAutomorphismRep and IsFieldHomomorphism) and ((IsGeneralMapping and IsTotal) and IsSingleValued)) and (((IsSingleValued and IsTotal) and IsInjective) and IsSurjective))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveElementList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsAdditiveElement)"
+        ],
+        "name": "(CategoryCollections(IsAdditiveElement) and IsList)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveElementTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsAdditiveElement))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(IsAdditiveElement)) and IsTable)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveElementWithInverse"
+        ],
+        "conjunction_of": [
+            "IsNearAdditiveElementWithInverse",
+            "IsAdditiveElement"
+        ],
+        "name": "(IsNearAdditiveElementWithInverse and IsAdditiveElement)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveElementWithInverseCollColl"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+            "CategoryCollections(CategoryCollections(IsAdditiveElement))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveElementWithInverseCollCollColl"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement))))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveElementWithInverseCollection"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+            "CategoryCollections(IsAdditiveElement)"
+        ],
+        "name": "(CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveElementWithInverseList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+            "CategoryCollections(IsAdditiveElement)"
+        ],
+        "name": "((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and IsList)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveElementWithInverseTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+            "CategoryCollections(CategoryCollections(IsAdditiveElement))"
+        ],
+        "name": "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveElementWithZero"
+        ],
+        "conjunction_of": [
+            "IsNearAdditiveElementWithZero",
+            "IsAdditiveElement"
+        ],
+        "name": "(IsNearAdditiveElementWithZero and IsAdditiveElement)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveElementWithZeroCollColl"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))",
+            "CategoryCollections(CategoryCollections(IsAdditiveElement))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)) and CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveElementWithZeroCollCollColl"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement))))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveElementWithZeroCollection"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(IsNearAdditiveElementWithZero)",
+            "CategoryCollections(IsAdditiveElement)"
+        ],
+        "name": "(CategoryCollections(IsNearAdditiveElementWithZero) and CategoryCollections(IsAdditiveElement))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveElementWithZeroList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsNearAdditiveElementWithZero)",
+            "CategoryCollections(IsAdditiveElement)"
+        ],
+        "name": "((CategoryCollections(IsNearAdditiveElementWithZero) and CategoryCollections(IsAdditiveElement)) and IsList)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveElementWithZeroTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))",
+            "CategoryCollections(CategoryCollections(IsAdditiveElement))"
+        ],
+        "name": "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveGroup",
+            "IsAdditiveMagmaWithInverses"
+        ],
+        "conjunction_of": [
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)"
+        ],
+        "name": "(IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveGroupGeneralMapping"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "RespectsAddition",
+            "Tester(RespectsAddition)",
+            "RespectsAdditiveInverses",
+            "Tester(RespectsAdditiveInverses)"
+        ],
+        "name": "((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveGroupHomomorphism"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "RespectsAddition",
+            "Tester(RespectsAddition)",
+            "RespectsAdditiveInverses",
+            "Tester(RespectsAdditiveInverses)"
+        ],
+        "name": "(((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveGroupToGroupGeneralMapping"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "TransformsAdditionIntoMultiplication",
+            "Tester(TransformsAdditionIntoMultiplication)",
+            "TransformsAdditiveInversesIntoInverses",
+            "Tester(TransformsAdditiveInversesIntoInverses)"
+        ],
+        "name": "((IsGeneralMapping and TransformsAdditionIntoMultiplication) and TransformsAdditiveInversesIntoInverses)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveGroupToGroupHomomorphism"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "TransformsAdditionIntoMultiplication",
+            "Tester(TransformsAdditionIntoMultiplication)",
+            "TransformsAdditiveInversesIntoInverses",
+            "Tester(TransformsAdditiveInversesIntoInverses)"
+        ],
+        "name": "(((IsGeneralMapping and TransformsAdditionIntoMultiplication) and TransformsAdditiveInversesIntoInverses) and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveMagma"
+        ],
+        "conjunction_of": [
+            "IsNearAdditiveMagma",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)"
+        ],
+        "name": "(IsNearAdditiveMagma and IsAdditivelyCommutative)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAdditiveMagmaWithZero"
+        ],
+        "conjunction_of": [
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveMagmaWithZero",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)"
+        ],
+        "name": "(IsNearAdditiveMagmaWithZero and (IsNearAdditiveMagma and IsAdditivelyCommutative))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAlgebra"
+        ],
+        "conjunction_of": [
+            "IsExtLSet",
+            "IsAssociativeLOpDProd",
+            "IsAssociativeLOpEProd",
+            "IsDistributiveLOpDSum",
+            "IsDistributiveLOpESum",
+            "IsTrivialLOpEOne",
+            "IsLeftActedOnByRing",
+            "IsLeftActedOnByDivisionRing",
+            "Tester(IsLeftActedOnByDivisionRing)",
+            "IsMagma",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing) and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and (((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))) and IsAssociativeLOpDProd))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAlgebraGeneralMapping"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "RespectsMultiplication",
+            "Tester(RespectsMultiplication)",
+            "RespectsAddition",
+            "Tester(RespectsAddition)",
+            "RespectsAdditiveInverses",
+            "Tester(RespectsAdditiveInverses)",
+            "RespectsScalarMultiplication",
+            "Tester(RespectsScalarMultiplication)"
+        ],
+        "name": "(((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)) and (((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and RespectsScalarMultiplication))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAlgebraHomomorphism"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "RespectsMultiplication",
+            "Tester(RespectsMultiplication)",
+            "RespectsAddition",
+            "Tester(RespectsAddition)",
+            "RespectsAdditiveInverses",
+            "Tester(RespectsAdditiveInverses)",
+            "RespectsScalarMultiplication",
+            "Tester(RespectsScalarMultiplication)"
+        ],
+        "name": "((((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)) and (((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and RespectsScalarMultiplication)) and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAlgebraWithOne"
+        ],
+        "conjunction_of": [
+            "IsExtLSet",
+            "IsAssociativeLOpDProd",
+            "IsAssociativeLOpEProd",
+            "IsDistributiveLOpDSum",
+            "IsDistributiveLOpESum",
+            "IsTrivialLOpEOne",
+            "IsLeftActedOnByRing",
+            "IsLeftActedOnByDivisionRing",
+            "Tester(IsLeftActedOnByDivisionRing)",
+            "IsMagma",
+            "IsMagmaWithOne",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing) and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and ((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)) and IsAssociativeLOpDProd))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAlgebraWithOneGeneralMapping"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "RespectsMultiplication",
+            "Tester(RespectsMultiplication)",
+            "RespectsOne",
+            "Tester(RespectsOne)",
+            "RespectsAddition",
+            "Tester(RespectsAddition)",
+            "RespectsAdditiveInverses",
+            "Tester(RespectsAdditiveInverses)",
+            "RespectsScalarMultiplication",
+            "Tester(RespectsScalarMultiplication)"
+        ],
+        "name": "((((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)) and (((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and RespectsScalarMultiplication)) and RespectsOne)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAlgebraWithOneHomomorphism"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "RespectsMultiplication",
+            "Tester(RespectsMultiplication)",
+            "RespectsOne",
+            "Tester(RespectsOne)",
+            "RespectsAddition",
+            "Tester(RespectsAddition)",
+            "RespectsAdditiveInverses",
+            "Tester(RespectsAdditiveInverses)",
+            "RespectsScalarMultiplication",
+            "Tester(RespectsScalarMultiplication)"
+        ],
+        "name": "(((((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)) and (((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and RespectsScalarMultiplication)) and RespectsOne) and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAssocWord"
+        ],
+        "conjunction_of": [
+            "IsAssociativeElement",
+            "IsWord"
+        ],
+        "name": "(IsWord and IsAssociativeElement)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAssocWordWithInverse",
+            "IsElementOfFreeGroup"
+        ],
+        "conjunction_of": [
+            "IsMultiplicativeElementWithInverse",
+            "IsAssociativeElement",
+            "IsWord"
+        ],
+        "name": "((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsAssocWordWithOne"
+        ],
+        "conjunction_of": [
+            "IsMultiplicativeElementWithOne",
+            "IsAssociativeElement",
+            "IsWord"
+        ],
+        "name": "((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsBijective"
+        ],
+        "conjunction_of": [
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "IsInjective",
+            "Tester(IsInjective)",
+            "IsSurjective",
+            "Tester(IsSurjective)"
+        ],
+        "name": "(((IsSingleValued and IsTotal) and IsInjective) and IsSurjective)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsConjugatorAutomorphism"
+        ],
+        "conjunction_of": [
+            "IsEndoGeneralMapping",
+            "Tester(IsEndoGeneralMapping)",
+            "IsConjugatorIsomorphism",
+            "Tester(IsConjugatorIsomorphism)"
+        ],
+        "name": "(IsEndoGeneralMapping and IsConjugatorIsomorphism)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsCyclotomicMatrixGroup"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))",
+            "IsMagmaWithInverses",
+            "IsAssociative",
+            "Tester(IsAssociative)"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic))) and (((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))) and (IsMagmaWithInverses and IsAssociative)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsDistributive"
+        ],
+        "conjunction_of": [
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(IsLDistributive and IsRDistributive)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsDivisionRing"
+        ],
+        "conjunction_of": [
+            "IsNonTrivial",
+            "Tester(IsNonTrivial)",
+            "IsExtLSet",
+            "IsAssociativeLOpDProd",
+            "IsAssociativeLOpEProd",
+            "IsDistributiveLOpDSum",
+            "IsDistributiveLOpESum",
+            "IsTrivialLOpEOne",
+            "IsLeftActedOnByRing",
+            "IsLeftActedOnByDivisionRing",
+            "Tester(IsLeftActedOnByDivisionRing)",
+            "IsMagma",
+            "IsMagmaWithOne",
+            "IsMagmaWithInversesIfNonzero",
+            "IsAssociative",
+            "Tester(IsAssociative)",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)",
+            "IsEuclideanRing"
+        ],
+        "name": "(((((IsMagmaWithInversesIfNonzero and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and ((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)) and IsAssociativeLOpDProd)) and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing)) and IsNonTrivial) and IsAssociative) and IsEuclideanRing)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsDomain"
+        ],
+        "conjunction_of": [
+            "IsCollection",
+            "IsGeneralizedDomain"
+        ],
+        "name": "(IsGeneralizedDomain and IsCollection)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsDuplicateFreeCollection"
+        ],
+        "conjunction_of": [
+            "IsCollection",
+            "IsDuplicateFree",
+            "Tester(IsDuplicateFree)"
+        ],
+        "name": "(IsCollection and IsDuplicateFree)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsDuplicateFreeList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "IsDuplicateFree",
+            "Tester(IsDuplicateFree)"
+        ],
+        "name": "(IsDuplicateFree and IsList)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsEndoMapping"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsEndoGeneralMapping",
+            "Tester(IsEndoGeneralMapping)",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)"
+        ],
+        "name": "(((IsGeneralMapping and IsTotal) and IsSingleValued) and IsEndoGeneralMapping)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsEnumeratorByFunctions"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "IsDenseList",
+            "IsDuplicateFree",
+            "Tester(IsDuplicateFree)",
+            "IsEnumeratorByFunctionsRep"
+        ],
+        "name": "((IsEnumeratorByFunctionsRep and IsDenseList) and (IsDuplicateFree and IsList))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsExtAElementList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsExtAElement)"
+        ],
+        "name": "(CategoryCollections(IsExtAElement) and IsList)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsExtAElementTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsExtAElement))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(IsExtAElement)) and IsTable)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsExtLElementList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsExtLElement)"
+        ],
+        "name": "(CategoryCollections(IsExtLElement) and IsList)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsExtLElementTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsExtLElement))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(IsExtLElement)) and IsTable)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsExtRElementList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsExtRElement)"
+        ],
+        "name": "(CategoryCollections(IsExtRElement) and IsList)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsExtRElementTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsExtRElement))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(IsExtRElement)) and IsTable)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsFFEMatrixGroup"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))",
+            "IsMagmaWithInverses",
+            "IsAssociative",
+            "Tester(IsAssociative)"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(CategoryCollections(IsFFE))) and (((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))) and (IsMagmaWithInverses and IsAssociative)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsFLMLOR"
+        ],
+        "conjunction_of": [
+            "IsExtLSet",
+            "IsAssociativeLOpDProd",
+            "IsDistributiveLOpDSum",
+            "IsMagma",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)",
+            "IsFreeLeftModule"
+        ],
+        "name": "(IsFreeLeftModule and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and (((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))) and IsAssociativeLOpDProd))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsFLMLORWithOne"
+        ],
+        "conjunction_of": [
+            "IsExtLSet",
+            "IsAssociativeLOpDProd",
+            "IsDistributiveLOpDSum",
+            "IsMagma",
+            "IsMagmaWithOne",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)",
+            "IsFreeLeftModule"
+        ],
+        "name": "(IsFreeLeftModule and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and ((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)) and IsAssociativeLOpDProd))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsField"
+        ],
+        "conjunction_of": [
+            "IsNonTrivial",
+            "Tester(IsNonTrivial)",
+            "IsExtLSet",
+            "IsAssociativeLOpDProd",
+            "IsAssociativeLOpEProd",
+            "IsDistributiveLOpDSum",
+            "IsDistributiveLOpESum",
+            "IsTrivialLOpEOne",
+            "IsLeftActedOnByRing",
+            "IsLeftActedOnByDivisionRing",
+            "Tester(IsLeftActedOnByDivisionRing)",
+            "IsMagma",
+            "IsMagmaWithOne",
+            "IsMagmaWithInversesIfNonzero",
+            "IsAssociative",
+            "Tester(IsAssociative)",
+            "IsCommutative",
+            "Tester(IsCommutative)",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)",
+            "IsEuclideanRing"
+        ],
+        "name": "((((((IsMagmaWithInversesIfNonzero and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and ((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)) and IsAssociativeLOpDProd)) and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing)) and IsNonTrivial) and IsAssociative) and IsEuclideanRing) and IsCommutative)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsFiniteBasisDefault"
+        ],
+        "conjunction_of": [
+            "IsCopyable",
+            "IsListDefault",
+            "IsBasis"
+        ],
+        "name": "((IsBasis and IsCopyable) and IsListDefault)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsFloatPolynomial"
+        ],
+        "conjunction_of": [
+            "IsPolynomial",
+            "Tester(IsPolynomial)",
+            "IsFloatRationalFunction"
+        ],
+        "name": "(IsFloatRationalFunction and IsPolynomial)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsFloatUnivariatePolynomial"
+        ],
+        "conjunction_of": [
+            "IsPolynomial",
+            "Tester(IsPolynomial)",
+            "IsUnivariateRationalFunction",
+            "Tester(IsUnivariateRationalFunction)",
+            "IsFloatRationalFunction"
+        ],
+        "name": "(IsFloatRationalFunction and (IsPolynomial and IsUnivariateRationalFunction))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsFpGroup"
+        ],
+        "conjunction_of": [
+            "IsGroupOfFamily",
+            "IsSubgroupFpGroup"
+        ],
+        "name": "(IsSubgroupFpGroup and IsGroupOfFamily)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsFpMonoid"
+        ],
+        "conjunction_of": [
+            "IsWholeFamily",
+            "Tester(IsWholeFamily)",
+            "IsMagmaWithOne",
+            "IsAssociative",
+            "Tester(IsAssociative)",
+            "CategoryCollections(IsElementOfFpMonoid)"
+        ],
+        "name": "(((IsMagmaWithOne and IsAssociative) and CategoryCollections(IsElementOfFpMonoid)) and IsWholeFamily)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsFpSemigroup"
+        ],
+        "conjunction_of": [
+            "IsWholeFamily",
+            "Tester(IsWholeFamily)",
+            "IsMagma",
+            "IsAssociative",
+            "Tester(IsAssociative)",
+            "CategoryCollections(IsElementOfFpSemigroup)"
+        ],
+        "name": "(((IsMagma and IsAssociative) and CategoryCollections(IsElementOfFpSemigroup)) and IsWholeFamily)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsFreeGroup"
+        ],
+        "conjunction_of": [
+            "IsMagmaWithInverses",
+            "IsAssociative",
+            "Tester(IsAssociative)",
+            "CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"
+        ],
+        "name": "(CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse))) and (IsMagmaWithInverses and IsAssociative))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsFreeMagma"
+        ],
+        "conjunction_of": [
+            "IsMagma",
+            "CategoryCollections(IsNonassocWord)"
+        ],
+        "name": "(CategoryCollections(IsNonassocWord) and IsMagma)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsFreeMagmaRingWithOne"
+        ],
+        "conjunction_of": [
+            "IsMagmaWithOne",
+            "IsFreeMagmaRing"
+        ],
+        "name": "(IsFreeMagmaRing and IsMagmaWithOne)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsFromFpGroupHomomorphism"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "IsFromFpGroupGeneralMapping"
+        ],
+        "name": "(IsFromFpGroupGeneralMapping and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsFromFpGroupHomomorphismByImages"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "IsFromFpGroupGeneralMappingByImages"
+        ],
+        "name": "(IsFromFpGroupGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsFromFpGroupStdGensHomomorphismByImages"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "IsFromFpGroupStdGensGeneralMappingByImages"
+        ],
+        "name": "(IsFromFpGroupStdGensGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsGaussianMatrixSpace"
+        ],
+        "conjunction_of": [
+            "IsExtLSet",
+            "IsAssociativeLOpEProd",
+            "IsDistributiveLOpDSum",
+            "IsDistributiveLOpESum",
+            "IsTrivialLOpEOne",
+            "IsLeftActedOnByRing",
+            "IsLeftActedOnByDivisionRing",
+            "Tester(IsLeftActedOnByDivisionRing)",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsMatrixModule",
+            "Tester(IsMatrixModule)",
+            "IsGaussianSpace"
+        ],
+        "name": "(IsGaussianSpace and (IsMatrixModule and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsGaussianRowSpace"
+        ],
+        "conjunction_of": [
+            "IsExtLSet",
+            "IsAssociativeLOpEProd",
+            "IsDistributiveLOpDSum",
+            "IsDistributiveLOpESum",
+            "IsTrivialLOpEOne",
+            "IsLeftActedOnByRing",
+            "IsLeftActedOnByDivisionRing",
+            "Tester(IsLeftActedOnByDivisionRing)",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsRowModule",
+            "Tester(IsRowModule)",
+            "IsGaussianSpace"
+        ],
+        "name": "(IsGaussianSpace and (IsRowModule and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsGroup"
+        ],
+        "conjunction_of": [
+            "IsMagmaWithInverses",
+            "IsAssociative",
+            "Tester(IsAssociative)"
+        ],
+        "name": "(IsMagmaWithInverses and IsAssociative)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsGroupGeneralMapping"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "RespectsMultiplication",
+            "Tester(RespectsMultiplication)",
+            "RespectsInverses",
+            "Tester(RespectsInverses)"
+        ],
+        "name": "((IsGeneralMapping and RespectsMultiplication) and RespectsInverses)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsGroupHomomorphism"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "RespectsMultiplication",
+            "Tester(RespectsMultiplication)",
+            "RespectsInverses",
+            "Tester(RespectsInverses)"
+        ],
+        "name": "(((IsGeneralMapping and RespectsMultiplication) and RespectsInverses) and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsGroupToAdditiveGroupGeneralMapping"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "TransformsMultiplicationIntoAddition",
+            "Tester(TransformsMultiplicationIntoAddition)",
+            "TransformsInversesIntoAdditiveInverses",
+            "Tester(TransformsInversesIntoAdditiveInverses)"
+        ],
+        "name": "((IsGeneralMapping and TransformsMultiplicationIntoAddition) and TransformsInversesIntoAdditiveInverses)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsGroupToAdditiveGroupHomomorphism"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "TransformsMultiplicationIntoAddition",
+            "Tester(TransformsMultiplicationIntoAddition)",
+            "TransformsInversesIntoAdditiveInverses",
+            "Tester(TransformsInversesIntoAdditiveInverses)"
+        ],
+        "name": "(((IsGeneralMapping and TransformsMultiplicationIntoAddition) and TransformsInversesIntoAdditiveInverses) and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsInfoSelector"
+        ],
+        "conjunction_of": [
+            "IsSSortedList",
+            "Tester(IS_SSORT_LIST)",
+            "CategoryCollections(IsInfoClass)"
+        ],
+        "name": "(CategoryCollections(IsInfoClass) and IsSSortedList)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsInverseMonoid"
+        ],
+        "conjunction_of": [
+            "IsMagmaWithOne",
+            "IsAssociative",
+            "Tester(IsAssociative)",
+            "IsInverseSemigroup",
+            "Tester(IsInverseSemigroup)"
+        ],
+        "name": "((IsMagmaWithOne and IsAssociative) and IsInverseSemigroup)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsIteratorByFunctions"
+        ],
+        "conjunction_of": [
+            "IsIterator",
+            "IsIteratorByFunctionsRep"
+        ],
+        "name": "(IsIteratorByFunctionsRep and IsIterator)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsLeftMagmaIdeal"
+        ],
+        "conjunction_of": [
+            "IsLeftActedOnBySuperset",
+            "IsMagma"
+        ],
+        "name": "(IsMagma and IsLeftActedOnBySuperset)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsLeftModule"
+        ],
+        "conjunction_of": [
+            "IsExtLSet",
+            "IsAssociativeLOpEProd",
+            "IsDistributiveLOpDSum",
+            "IsDistributiveLOpESum",
+            "IsTrivialLOpEOne",
+            "IsLeftActedOnByRing",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)"
+        ],
+        "name": "(((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsLeftModuleGeneralMapping"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "RespectsAddition",
+            "Tester(RespectsAddition)",
+            "RespectsAdditiveInverses",
+            "Tester(RespectsAdditiveInverses)",
+            "RespectsScalarMultiplication",
+            "Tester(RespectsScalarMultiplication)"
+        ],
+        "name": "(((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and RespectsScalarMultiplication)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsLeftModuleHomomorphism"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "RespectsAddition",
+            "Tester(RespectsAddition)",
+            "RespectsAdditiveInverses",
+            "Tester(RespectsAdditiveInverses)",
+            "RespectsScalarMultiplication",
+            "Tester(RespectsScalarMultiplication)"
+        ],
+        "name": "((((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses) and RespectsScalarMultiplication) and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsLeftOperatorAdditiveGroup"
+        ],
+        "conjunction_of": [
+            "IsExtLSet",
+            "IsDistributiveLOpDSum",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)"
+        ],
+        "name": "(((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsLeftOperatorRing"
+        ],
+        "conjunction_of": [
+            "IsExtLSet",
+            "IsAssociativeLOpDProd",
+            "IsDistributiveLOpDSum",
+            "IsMagma",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and (((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))) and IsAssociativeLOpDProd)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsLeftOperatorRingWithOne"
+        ],
+        "conjunction_of": [
+            "IsExtLSet",
+            "IsAssociativeLOpDProd",
+            "IsDistributiveLOpDSum",
+            "IsMagma",
+            "IsMagmaWithOne",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and ((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)) and IsAssociativeLOpDProd)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsLeftVectorSpace",
+            "IsVectorSpace"
+        ],
+        "conjunction_of": [
+            "IsExtLSet",
+            "IsAssociativeLOpEProd",
+            "IsDistributiveLOpDSum",
+            "IsDistributiveLOpESum",
+            "IsTrivialLOpEOne",
+            "IsLeftActedOnByRing",
+            "IsLeftActedOnByDivisionRing",
+            "Tester(IsLeftActedOnByDivisionRing)",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)"
+        ],
+        "name": "((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsLieAlgebra"
+        ],
+        "conjunction_of": [
+            "IsExtLSet",
+            "IsAssociativeLOpDProd",
+            "IsAssociativeLOpEProd",
+            "IsDistributiveLOpDSum",
+            "IsDistributiveLOpESum",
+            "IsTrivialLOpEOne",
+            "IsLeftActedOnByRing",
+            "IsLeftActedOnByDivisionRing",
+            "Tester(IsLeftActedOnByDivisionRing)",
+            "IsMagma",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)",
+            "IsJacobianRing",
+            "Tester(IsJacobianRing)",
+            "IsZeroSquaredRing",
+            "Tester(IsZeroSquaredRing)"
+        ],
+        "name": "(((((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing) and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and (((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))) and IsAssociativeLOpDProd)) and IsZeroSquaredRing) and IsJacobianRing)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsMagmaHomomorphism"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "RespectsMultiplication",
+            "Tester(RespectsMultiplication)"
+        ],
+        "name": "(((IsGeneralMapping and IsTotal) and IsSingleValued) and RespectsMultiplication)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsMagmaIdeal"
+        ],
+        "conjunction_of": [
+            "IsLeftActedOnBySuperset",
+            "IsRightActedOnBySuperset",
+            "IsMagma"
+        ],
+        "name": "((IsMagma and IsLeftActedOnBySuperset) and (IsMagma and IsRightActedOnBySuperset))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsMapping"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)"
+        ],
+        "name": "((IsGeneralMapping and IsTotal) and IsSingleValued)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsMatrix",
+            "IsRingElementTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+        ],
+        "name": "(((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElement)) and IsTable))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsMatrixFLMLOR"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+            "IsExtLSet",
+            "IsAssociativeLOpDProd",
+            "IsDistributiveLOpDSum",
+            "IsMagma",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)",
+            "IsFreeLeftModule"
+        ],
+        "name": "((IsFreeLeftModule and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and (((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))) and IsAssociativeLOpDProd)) and ((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsMatrixGroup"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+            "IsMagmaWithInverses",
+            "IsAssociative",
+            "Tester(IsAssociative)"
+        ],
+        "name": "(((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))) and (IsMagmaWithInverses and IsAssociative))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsMatrixSpace"
+        ],
+        "conjunction_of": [
+            "IsExtLSet",
+            "IsAssociativeLOpEProd",
+            "IsDistributiveLOpDSum",
+            "IsDistributiveLOpESum",
+            "IsTrivialLOpEOne",
+            "IsLeftActedOnByRing",
+            "IsLeftActedOnByDivisionRing",
+            "Tester(IsLeftActedOnByDivisionRing)",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsMatrixModule",
+            "Tester(IsMatrixModule)"
+        ],
+        "name": "(IsMatrixModule and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsMonoid"
+        ],
+        "conjunction_of": [
+            "IsMagmaWithOne",
+            "IsAssociative",
+            "Tester(IsAssociative)"
+        ],
+        "name": "(IsMagmaWithOne and IsAssociative)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsMultiplicativeElementList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsMultiplicativeElement)"
+        ],
+        "name": "(CategoryCollections(IsMultiplicativeElement) and IsList)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsMultiplicativeElementTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(IsMultiplicativeElement)) and IsTable)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsMultiplicativeElementWithInverseList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsMultiplicativeElementWithInverse)"
+        ],
+        "name": "(CategoryCollections(IsMultiplicativeElementWithInverse) and IsList)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsMultiplicativeElementWithInverseTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)) and IsTable)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsMultiplicativeElementWithOneList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsMultiplicativeElementWithOne)"
+        ],
+        "name": "(CategoryCollections(IsMultiplicativeElementWithOne) and IsList)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsMultiplicativeElementWithOneTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)) and IsTable)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNaturalGLnZ"
+        ],
+        "conjunction_of": [
+            "IsNaturalGL",
+            "Tester(IsNaturalGL)",
+            "IsIntegerMatrixGroup",
+            "Tester(IsIntegerMatrixGroup)"
+        ],
+        "name": "(IsNaturalGL and IsIntegerMatrixGroup)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNaturalSLnZ"
+        ],
+        "conjunction_of": [
+            "IsNaturalSL",
+            "Tester(IsNaturalSL)",
+            "IsIntegerMatrixGroup",
+            "Tester(IsIntegerMatrixGroup)"
+        ],
+        "name": "(IsNaturalSL and IsIntegerMatrixGroup)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearAdditiveElementList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsNearAdditiveElement)"
+        ],
+        "name": "(CategoryCollections(IsNearAdditiveElement) and IsList)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearAdditiveElementTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElement))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(IsNearAdditiveElement)) and IsTable)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearAdditiveElementWithInverseList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsNearAdditiveElementWithInverse)"
+        ],
+        "name": "(CategoryCollections(IsNearAdditiveElementWithInverse) and IsList)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearAdditiveElementWithInverseTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and IsTable)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearAdditiveElementWithZeroList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsNearAdditiveElementWithZero)"
+        ],
+        "name": "(CategoryCollections(IsNearAdditiveElementWithZero) and IsList)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearAdditiveElementWithZeroTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)) and IsTable)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRing"
+        ],
+        "conjunction_of": [
+            "IsMagma",
+            "IsAssociative",
+            "Tester(IsAssociative)",
+            "IsNearAdditiveGroup",
+            "IsRDistributive",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(((IsNearAdditiveGroup and IsMagma) and IsRDistributive) and IsAssociative)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingElement"
+        ],
+        "conjunction_of": [
+            "IsNearAdditiveElementWithInverse",
+            "IsMultiplicativeElement"
+        ],
+        "name": "(IsNearAdditiveElementWithInverse and IsMultiplicativeElement)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingElementCollColl"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingElementCollCollColl"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement))))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingElementCollection"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+            "CategoryCollections(IsMultiplicativeElement)"
+        ],
+        "name": "(CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsMultiplicativeElement))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingElementList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+            "CategoryCollections(IsMultiplicativeElement)"
+        ],
+        "name": "((CategoryCollections(IsNearAdditiveElementWithInverse) and IsList) and (CategoryCollections(IsMultiplicativeElement) and IsList))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingElementTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+        ],
+        "name": "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElement)) and IsTable))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingElementWithInverse"
+        ],
+        "conjunction_of": [
+            "IsNearAdditiveElementWithInverse",
+            "IsMultiplicativeElementWithInverse"
+        ],
+        "name": "(IsNearAdditiveElementWithInverse and IsMultiplicativeElementWithInverse)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingElementWithInverseCollColl"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+            "CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingElementWithInverseCollCollColl"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingElementWithInverseCollection"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+            "CategoryCollections(IsMultiplicativeElementWithInverse)"
+        ],
+        "name": "(CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsMultiplicativeElementWithInverse))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingElementWithInverseList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+            "CategoryCollections(IsMultiplicativeElementWithInverse)"
+        ],
+        "name": "((CategoryCollections(IsNearAdditiveElementWithInverse) and IsList) and (CategoryCollections(IsMultiplicativeElementWithInverse) and IsList))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingElementWithInverseTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+            "CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"
+        ],
+        "name": "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)) and IsTable))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingElementWithOne"
+        ],
+        "conjunction_of": [
+            "IsNearAdditiveElementWithInverse",
+            "IsMultiplicativeElementWithOne"
+        ],
+        "name": "(IsNearAdditiveElementWithInverse and IsMultiplicativeElementWithOne)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingElementWithOneCollColl"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+            "CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingElementWithOneCollCollColl"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingElementWithOneCollection"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+            "CategoryCollections(IsMultiplicativeElementWithOne)"
+        ],
+        "name": "(CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsMultiplicativeElementWithOne))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingElementWithOneList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+            "CategoryCollections(IsMultiplicativeElementWithOne)"
+        ],
+        "name": "((CategoryCollections(IsNearAdditiveElementWithInverse) and IsList) and (CategoryCollections(IsMultiplicativeElementWithOne) and IsList))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingElementWithOneTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+            "CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))"
+        ],
+        "name": "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)) and IsTable))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNearRingWithOne"
+        ],
+        "conjunction_of": [
+            "IsMagma",
+            "IsMagmaWithOne",
+            "IsAssociative",
+            "Tester(IsAssociative)",
+            "IsNearAdditiveGroup",
+            "IsRDistributive",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "((((IsNearAdditiveGroup and IsMagma) and IsRDistributive) and IsAssociative) and IsMagmaWithOne)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNegInt"
+        ],
+        "conjunction_of": [
+            "IsInt",
+            "IsNegRat"
+        ],
+        "name": "(IsInt and IsNegRat)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsNonassocWordWithOne"
+        ],
+        "conjunction_of": [
+            "IsMultiplicativeElementWithOne",
+            "IsWord",
+            "IsNonassocWord"
+        ],
+        "name": "(IsNonassocWord and (IsWord and IsMultiplicativeElementWithOne))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsPadicNumberList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsPadicNumber)"
+        ],
+        "name": "(CategoryCollections(IsPadicNumber) and IsList)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsPadicNumberTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsPadicNumber))"
+        ],
+        "name": "(CategoryCollections(CategoryCollections(IsPadicNumber)) and IsTable)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsPartialPermMonoid"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(IsPartialPerm)",
+            "IsMagmaWithOne",
+            "IsAssociative",
+            "Tester(IsAssociative)"
+        ],
+        "name": "((IsMagmaWithOne and IsAssociative) and CategoryCollections(IsPartialPerm))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsPartialPermSemigroup"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(IsPartialPerm)",
+            "IsMagma",
+            "IsAssociative",
+            "Tester(IsAssociative)"
+        ],
+        "name": "((IsMagma and IsAssociative) and CategoryCollections(IsPartialPerm))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsPcGroup"
+        ],
+        "conjunction_of": [
+            "IsMagmaWithInverses",
+            "IsAssociative",
+            "Tester(IsAssociative)",
+            "CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"
+        ],
+        "name": "(CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector) and (IsMagmaWithInverses and IsAssociative))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsPcGroupHomomorphismByImages"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "IsPcGroupGeneralMappingByImages"
+        ],
+        "name": "(IsPcGroupGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsPcgsToPcgsHomomorphism"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "IsPcgsToPcgsGeneralMappingByImages"
+        ],
+        "name": "(IsPcgsToPcgsGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsPermGroup"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(IsPerm)",
+            "IsMagmaWithInverses",
+            "IsAssociative",
+            "Tester(IsAssociative)"
+        ],
+        "name": "((IsMagmaWithInverses and IsAssociative) and CategoryCollections(IsPerm))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsPermGroupHomomorphism"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "IsPermGroupGeneralMapping"
+        ],
+        "name": "(IsPermGroupGeneralMapping and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsPermGroupHomomorphismByImages"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "IsPermGroupGeneralMappingByImages"
+        ],
+        "name": "(IsPermGroupGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsPolynomialRingIdeal"
+        ],
+        "conjunction_of": [
+            "IsMagma",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)",
+            "Tester(LeftActingRingOfIdeal)",
+            "Tester(RightActingRingOfIdeal)",
+            "CategoryCollections(IsRationalFunction)"
+        ],
+        "name": "((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and CategoryCollections(IsRationalFunction)) and Tester(LeftActingRingOfIdeal)) and Tester(RightActingRingOfIdeal))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsPosInt"
+        ],
+        "conjunction_of": [
+            "IsInt",
+            "IsPosRat"
+        ],
+        "name": "(IsInt and IsPosRat)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRationals"
+        ],
+        "conjunction_of": [
+            "IsNonTrivial",
+            "Tester(IsNonTrivial)",
+            "CategoryCollections(IsCyclotomic)",
+            "IsExtLSet",
+            "IsAssociativeLOpDProd",
+            "IsAssociativeLOpEProd",
+            "IsDistributiveLOpDSum",
+            "IsDistributiveLOpESum",
+            "IsTrivialLOpEOne",
+            "IsLeftActedOnByRing",
+            "IsLeftActedOnByDivisionRing",
+            "Tester(IsLeftActedOnByDivisionRing)",
+            "IsMagma",
+            "IsMagmaWithOne",
+            "IsMagmaWithInversesIfNonzero",
+            "IsAssociative",
+            "Tester(IsAssociative)",
+            "IsCommutative",
+            "Tester(IsCommutative)",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)",
+            "IsEuclideanRing",
+            "IsPrimeField",
+            "Tester(IsPrimeField)"
+        ],
+        "name": "((CategoryCollections(IsCyclotomic) and ((((((IsMagmaWithInversesIfNonzero and (((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and ((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)) and IsAssociativeLOpDProd)) and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing)) and IsNonTrivial) and IsAssociative) and IsEuclideanRing) and IsCommutative)) and IsPrimeField)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsReductionOrdering"
+        ],
+        "conjunction_of": [
+            "IsWellFoundedOrdering",
+            "Tester(IsWellFoundedOrdering)",
+            "IsTranslationInvariantOrdering",
+            "Tester(IsTranslationInvariantOrdering)"
+        ],
+        "name": "(IsTranslationInvariantOrdering and IsWellFoundedOrdering)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsReesMatrixSubsemigroup"
+        ],
+        "conjunction_of": [
+            "IsMagma",
+            "IsAssociative",
+            "Tester(IsAssociative)",
+            "CategoryCollections(IsReesMatrixSemigroupElement)"
+        ],
+        "name": "((IsMagma and IsAssociative) and CategoryCollections(IsReesMatrixSemigroupElement))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsReesZeroMatrixSubsemigroup"
+        ],
+        "conjunction_of": [
+            "IsMagma",
+            "IsAssociative",
+            "Tester(IsAssociative)",
+            "CategoryCollections(IsReesZeroMatrixSemigroupElement)"
+        ],
+        "name": "((IsMagma and IsAssociative) and CategoryCollections(IsReesZeroMatrixSemigroupElement))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRestrictedLieObject"
+        ],
+        "conjunction_of": [
+            "IsRestrictedJacobianElement",
+            "IsLieObject"
+        ],
+        "name": "(IsLieObject and IsRestrictedJacobianElement)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRightMagmaIdeal"
+        ],
+        "conjunction_of": [
+            "IsRightActedOnBySuperset",
+            "IsMagma"
+        ],
+        "name": "(IsMagma and IsRightActedOnBySuperset)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRightModule"
+        ],
+        "conjunction_of": [
+            "IsExtRSet",
+            "IsAssociativeROpEProd",
+            "IsDistributiveROpDSum",
+            "IsDistributiveROpESum",
+            "IsTrivialROpEOne",
+            "IsRightActedOnByRing",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)"
+        ],
+        "name": "(((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtRSet) and IsDistributiveROpDSum) and IsRightActedOnByRing) and IsDistributiveROpESum) and IsAssociativeROpEProd) and IsTrivialROpEOne)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRightOperatorAdditiveGroup"
+        ],
+        "conjunction_of": [
+            "IsExtRSet",
+            "IsDistributiveROpDSum",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)"
+        ],
+        "name": "(((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtRSet) and IsDistributiveROpDSum)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRing"
+        ],
+        "conjunction_of": [
+            "IsMagma",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingElement"
+        ],
+        "conjunction_of": [
+            "IsNearAdditiveElementWithInverse",
+            "IsAdditiveElement",
+            "IsMultiplicativeElement"
+        ],
+        "name": "((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingElementCollColl"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+            "CategoryCollections(CategoryCollections(IsMultiplicativeElement))"
+        ],
+        "name": "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and CategoryCollections(CategoryCollections(IsMultiplicativeElement)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingElementCollCollColl"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))"
+        ],
+        "name": "((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement))))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingElementCollection"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+            "CategoryCollections(IsAdditiveElement)",
+            "CategoryCollections(IsMultiplicativeElement)"
+        ],
+        "name": "((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and CategoryCollections(IsMultiplicativeElement))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingElementList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+            "CategoryCollections(IsAdditiveElement)",
+            "CategoryCollections(IsMultiplicativeElement)"
+        ],
+        "name": "(((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and IsList) and (CategoryCollections(IsMultiplicativeElement) and IsList))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingElementWithInverse",
+            "IsScalar"
+        ],
+        "conjunction_of": [
+            "IsNearAdditiveElementWithInverse",
+            "IsAdditiveElement",
+            "IsMultiplicativeElementWithInverse"
+        ],
+        "name": "((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElementWithInverse)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingElementWithInverseCollColl",
+            "IsScalarCollColl"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+            "CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"
+        ],
+        "name": "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingElementWithInverseCollCollColl"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))"
+        ],
+        "name": "((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingElementWithInverseCollection",
+            "IsScalarCollection"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+            "CategoryCollections(IsAdditiveElement)",
+            "CategoryCollections(IsMultiplicativeElementWithInverse)"
+        ],
+        "name": "((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and CategoryCollections(IsMultiplicativeElementWithInverse))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingElementWithInverseList",
+            "IsScalarList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+            "CategoryCollections(IsAdditiveElement)",
+            "CategoryCollections(IsMultiplicativeElementWithInverse)"
+        ],
+        "name": "(((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and IsList) and (CategoryCollections(IsMultiplicativeElementWithInverse) and IsList))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingElementWithInverseTable",
+            "IsScalarTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+            "CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"
+        ],
+        "name": "(((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)) and IsTable))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingElementWithOne"
+        ],
+        "conjunction_of": [
+            "IsNearAdditiveElementWithInverse",
+            "IsAdditiveElement",
+            "IsMultiplicativeElementWithOne"
+        ],
+        "name": "((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElementWithOne)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingElementWithOneCollColl"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+            "CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))"
+        ],
+        "name": "((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingElementWithOneCollCollColl"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))",
+            "CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))"
+        ],
+        "name": "((CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))) and CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))) and CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingElementWithOneCollection"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+            "CategoryCollections(IsAdditiveElement)",
+            "CategoryCollections(IsMultiplicativeElementWithOne)"
+        ],
+        "name": "((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and CategoryCollections(IsMultiplicativeElementWithOne))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingElementWithOneList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+            "CategoryCollections(IsAdditiveElement)",
+            "CategoryCollections(IsMultiplicativeElementWithOne)"
+        ],
+        "name": "(((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and IsList) and (CategoryCollections(IsMultiplicativeElementWithOne) and IsList))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingElementWithOneTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+            "CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))"
+        ],
+        "name": "(((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)) and IsTable))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingGeneralMapping"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "RespectsMultiplication",
+            "Tester(RespectsMultiplication)",
+            "RespectsAddition",
+            "Tester(RespectsAddition)",
+            "RespectsAdditiveInverses",
+            "Tester(RespectsAdditiveInverses)"
+        ],
+        "name": "((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingHomomorphism"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "RespectsMultiplication",
+            "Tester(RespectsMultiplication)",
+            "RespectsAddition",
+            "Tester(RespectsAddition)",
+            "RespectsAdditiveInverses",
+            "Tester(RespectsAdditiveInverses)"
+        ],
+        "name": "(((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)) and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingWithOne"
+        ],
+        "conjunction_of": [
+            "IsMagma",
+            "IsMagmaWithOne",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and IsMagmaWithOne)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingWithOneGeneralMapping"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "RespectsMultiplication",
+            "Tester(RespectsMultiplication)",
+            "RespectsOne",
+            "Tester(RespectsOne)",
+            "RespectsAddition",
+            "Tester(RespectsAddition)",
+            "RespectsAdditiveInverses",
+            "Tester(RespectsAdditiveInverses)"
+        ],
+        "name": "(((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)) and RespectsOne)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRingWithOneHomomorphism"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "RespectsMultiplication",
+            "Tester(RespectsMultiplication)",
+            "RespectsOne",
+            "Tester(RespectsOne)",
+            "RespectsAddition",
+            "Tester(RespectsAddition)",
+            "RespectsAdditiveInverses",
+            "Tester(RespectsAdditiveInverses)"
+        ],
+        "name": "((((IsGeneralMapping and RespectsMultiplication) and ((IsGeneralMapping and RespectsAddition) and RespectsAdditiveInverses)) and RespectsOne) and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRowSpace"
+        ],
+        "conjunction_of": [
+            "IsExtLSet",
+            "IsAssociativeLOpEProd",
+            "IsDistributiveLOpDSum",
+            "IsDistributiveLOpESum",
+            "IsTrivialLOpEOne",
+            "IsLeftActedOnByRing",
+            "IsLeftActedOnByDivisionRing",
+            "Tester(IsLeftActedOnByDivisionRing)",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsRowModule",
+            "Tester(IsRowModule)"
+        ],
+        "name": "(IsRowModule and ((((((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsExtLSet) and IsDistributiveLOpDSum) and IsLeftActedOnByRing) and IsDistributiveLOpESum) and IsAssociativeLOpEProd) and IsTrivialLOpEOne) and IsLeftActedOnByDivisionRing))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsRowVector"
+        ],
+        "conjunction_of": [
+            "IsHomogeneousList",
+            "IsNearAdditiveElementWithInverse",
+            "IsAdditiveElement",
+            "IsExtLElement",
+            "IsExtRElement",
+            "IsOddAdditiveNestingDepthObject"
+        ],
+        "name": "(((((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsExtLElement) and IsExtRElement) and IsHomogeneousList) and IsOddAdditiveNestingDepthObject)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsSemigroup"
+        ],
+        "conjunction_of": [
+            "IsMagma",
+            "IsAssociative",
+            "Tester(IsAssociative)"
+        ],
+        "name": "(IsMagma and IsAssociative)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsSemigroupGeneralMapping"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsSPGeneralMapping",
+            "RespectsMultiplication",
+            "Tester(RespectsMultiplication)"
+        ],
+        "name": "((IsSPGeneralMapping and IsGeneralMapping) and RespectsMultiplication)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsSemigroupHomomorphism"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsSPGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "RespectsMultiplication",
+            "Tester(RespectsMultiplication)"
+        ],
+        "name": "(((IsSPGeneralMapping and IsGeneralMapping) and RespectsMultiplication) and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsSemiring"
+        ],
+        "conjunction_of": [
+            "IsMagma",
+            "IsNearAdditiveMagma",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(((IsNearAdditiveMagma and IsAdditivelyCommutative) and IsMagma) and (IsLDistributive and IsRDistributive))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsSemiringWithOne"
+        ],
+        "conjunction_of": [
+            "IsMagmaWithOne",
+            "IsNearAdditiveMagma",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(((IsNearAdditiveMagma and IsAdditivelyCommutative) and IsMagmaWithOne) and (IsLDistributive and IsRDistributive))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsSemiringWithOneAndZero"
+        ],
+        "conjunction_of": [
+            "IsMagmaWithOne",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveMagmaWithZero",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(((IsNearAdditiveMagmaWithZero and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagmaWithOne) and (IsLDistributive and IsRDistributive))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsSemiringWithZero"
+        ],
+        "conjunction_of": [
+            "IsMagma",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveMagmaWithZero",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)"
+        ],
+        "name": "(((IsNearAdditiveMagmaWithZero and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsSubmonoidFpMonoid"
+        ],
+        "conjunction_of": [
+            "IsMagmaWithOne",
+            "IsAssociative",
+            "Tester(IsAssociative)",
+            "CategoryCollections(IsElementOfFpMonoid)"
+        ],
+        "name": "((IsMagmaWithOne and IsAssociative) and CategoryCollections(IsElementOfFpMonoid))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsSubringSCRing"
+        ],
+        "conjunction_of": [
+            "IsMagma",
+            "IsNearAdditiveMagma",
+            "IsNearAdditiveGroup",
+            "IsAdditivelyCommutative",
+            "Tester(IsAdditivelyCommutative)",
+            "IsLDistributive",
+            "Tester(IsLDistributive)",
+            "IsRDistributive",
+            "Tester(IsRDistributive)",
+            "CategoryCollections(IsSCRingObj)"
+        ],
+        "name": "((((IsNearAdditiveGroup and (IsNearAdditiveMagma and IsAdditivelyCommutative)) and IsMagma) and (IsLDistributive and IsRDistributive)) and CategoryCollections(IsSCRingObj))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsSubsemigroupFpSemigroup"
+        ],
+        "conjunction_of": [
+            "IsMagma",
+            "IsAssociative",
+            "Tester(IsAssociative)",
+            "CategoryCollections(IsElementOfFpSemigroup)"
+        ],
+        "name": "((IsMagma and IsAssociative) and CategoryCollections(IsElementOfFpSemigroup))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsToFpGroupHomomorphismByImages"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "IsToFpGroupGeneralMappingByImages"
+        ],
+        "name": "(IsToFpGroupGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsToPcGroupHomomorphismByImages"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "IsToPcGroupGeneralMappingByImages"
+        ],
+        "name": "(IsToPcGroupGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsToPermGroupHomomorphismByImages"
+        ],
+        "conjunction_of": [
+            "IsGeneralMapping",
+            "IsTotal",
+            "Tester(IsTotal)",
+            "IsSingleValued",
+            "Tester(IsSingleValued)",
+            "IsToPermGroupGeneralMappingByImages"
+        ],
+        "name": "(IsToPermGroupGeneralMappingByImages and ((IsGeneralMapping and IsTotal) and IsSingleValued))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsTransformationMonoid"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(IsTransformation)",
+            "IsMagmaWithOne",
+            "IsAssociative",
+            "Tester(IsAssociative)"
+        ],
+        "name": "((IsMagmaWithOne and IsAssociative) and CategoryCollections(IsTransformation))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsTransformationSemigroup"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(IsTransformation)",
+            "IsMagma",
+            "IsAssociative",
+            "Tester(IsAssociative)"
+        ],
+        "name": "((IsMagma and IsAssociative) and CategoryCollections(IsTransformation))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsUnivariatePolynomial"
+        ],
+        "conjunction_of": [
+            "IsPolynomial",
+            "Tester(IsPolynomial)",
+            "IsUnivariateRationalFunction",
+            "Tester(IsUnivariateRationalFunction)"
+        ],
+        "name": "(IsPolynomial and IsUnivariateRationalFunction)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsVector"
+        ],
+        "conjunction_of": [
+            "IsNearAdditiveElementWithInverse",
+            "IsAdditiveElement",
+            "IsExtLElement",
+            "IsExtRElement"
+        ],
+        "name": "(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsExtLElement) and IsExtRElement)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsVectorCollColl"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+            "CategoryCollections(CategoryCollections(IsExtLElement))",
+            "CategoryCollections(CategoryCollections(IsExtRElement))"
+        ],
+        "name": "(((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and CategoryCollections(CategoryCollections(IsExtLElement))) and CategoryCollections(CategoryCollections(IsExtRElement)))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsVectorCollection"
+        ],
+        "conjunction_of": [
+            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+            "CategoryCollections(IsAdditiveElement)",
+            "CategoryCollections(IsExtLElement)",
+            "CategoryCollections(IsExtRElement)"
+        ],
+        "name": "(((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and CategoryCollections(IsExtLElement)) and CategoryCollections(IsExtRElement))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsVectorList"
+        ],
+        "conjunction_of": [
+            "IsList",
+            "CategoryCollections(IsNearAdditiveElementWithInverse)",
+            "CategoryCollections(IsAdditiveElement)",
+            "CategoryCollections(IsExtLElement)",
+            "CategoryCollections(IsExtRElement)"
+        ],
+        "name": "((((CategoryCollections(IsNearAdditiveElementWithInverse) and CategoryCollections(IsAdditiveElement)) and IsList) and (CategoryCollections(IsExtLElement) and IsList)) and (CategoryCollections(IsExtRElement) and IsList))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsVectorTable"
+        ],
+        "conjunction_of": [
+            "IsTable",
+            "CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))",
+            "CategoryCollections(CategoryCollections(IsAdditiveElement))",
+            "CategoryCollections(CategoryCollections(IsExtLElement))",
+            "CategoryCollections(CategoryCollections(IsExtRElement))"
+        ],
+        "name": "((((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsExtLElement)) and IsTable)) and (CategoryCollections(CategoryCollections(IsExtRElement)) and IsTable))",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsWordWithInverse"
+        ],
+        "conjunction_of": [
+            "IsMultiplicativeElementWithInverse",
+            "IsWord"
+        ],
+        "name": "(IsWord and IsMultiplicativeElementWithInverse)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsWordWithOne"
+        ],
+        "conjunction_of": [
+            "IsMultiplicativeElementWithOne",
+            "IsWord"
+        ],
+        "name": "(IsWord and IsMultiplicativeElementWithOne)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsZeroRationalFunction"
+        ],
+        "conjunction_of": [
+            "IsZero",
+            "Tester(IsZero)",
+            "IsPolynomialFunction"
+        ],
+        "name": "(IsZero and IsPolynomialFunction)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsZmodpZObj"
+        ],
+        "conjunction_of": [
+            "IsFFE",
+            "IsZmodnZObj"
+        ],
+        "name": "(IsZmodnZObj and IsFFE)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsZmodpZObjLarge"
+        ],
+        "conjunction_of": [
+            "IsFFE",
+            "IsLexOrderedFFE",
+            "IsZmodnZObj"
+        ],
+        "name": "((IsZmodnZObj and IsFFE) and IsLexOrderedFFE)",
+        "type": "GAP_AndFilter"
+    },
+    {
+        "aka": [
+            "IsZmodpZObjSmall"
+        ],
+        "conjunction_of": [
+            "IsFFE",
+            "IsLogOrderedFFE",
+            "IsZmodnZObj"
+        ],
+        "name": "((IsZmodnZObj and IsFFE) and IsLogOrderedFFE)",
+        "type": "GAP_AndFilter"
+    }
+]