diff --git a/gap/gaptypes.g b/gap/gaptypes.g
new file mode 100644
index 0000000000000000000000000000000000000000..e325e16d3dd2234ec4b9575c617576d424b0fd81
--- /dev/null
+++ b/gap/gaptypes.g
@@ -0,0 +1,51 @@
+LoadPackage("json");
+
+GAPFilterToFilterType := function(fid)
+ if INFO_FILTERS[fid] in FNUM_CATS then
+ return "GAP_Category";
+ elif INFO_FILTERS[fid] in FNUM_REPS then
+ return "GAP_Representation";
+ elif INFO_FILTERS[fid] in FNUM_ATTS then
+ return "GAP_Attribute";
+ elif INFO_FILTERS[fid] in FNUM_PROS then
+ return "GAP_Property";
+ elif INFO_FILTERS[fid] in FNUM_TPRS then
+ return "GAP_Tester";
+ else
+ return "GAP_Filter";
+ fi;
+end;
+
+# Make GAP Type graph as a record
+GAPTypesInfo := function()
+ local res, lres, i, ff;
+
+ res := rec();
+
+ for i in [1..Length(FILTERS)] do
+ if IsBound(FILTERS[i]) then
+ lres := rec();
+
+ lres.type := GAPFilterToFilterType(i);
+
+ ff := TRUES_FLAGS(WITH_IMPS_FLAGS(FLAGS_FILTER(FILTERS[i])));
+ lres.implied := List(ff,
+ function(f)
+ if IsBound(FILTERS[f]) then
+ return NAME_FUNC(FILTERS[f]);
+ else
+ return "<<unknown>>";
+ fi;
+ end);
+ res.(NAME_FUNC(FILTERS[i])) := lres;
+ fi;
+ od;
+
+ return res;
+end;
+
+# Write the graph of type info to JSon file
+GAPTypeToJson := function(file)
+ PrintTo(file, GapToJsonString(GAPTypesInfo()));
+end;
+
diff --git a/gap/gaptypes.json b/gap/gaptypes.json
new file mode 100644
index 0000000000000000000000000000000000000000..7b21bde98501b06d6a23efe3291a7457560fb6fa
--- /dev/null
+++ b/gap/gaptypes.json
@@ -0,0 +1,3494 @@
+{"IsEmpty" : {"type" : "GAP_Property","implied" : ["IsEmpty","Tester(IsEmpty)"]},"IsTrivial" : {"type" : "GAP_Property","implied" : [\
+"IsTrivial","Tester(IsTrivial)","IsFinite","Tester(IsFinite)","CanComputeSize"]},"IsNonTrivial" : {"type" : "GAP_Property","implied" \
+: ["IsNonTrivial","Tester(IsNonTrivial)"]},"IsFinite" : {"type" : "GAP_Property","implied" : ["IsFinite","Tester(IsFinite)"]},"IsWhol\
+eFamily" : {"type" : "GAP_Property","implied" : ["IsWholeFamily","Tester(IsWholeFamily)"]},"CanEasilyCompareElements" : {"type" : "GA\
+P_Property","implied" : ["CanEasilyCompareElements","Tester(CanEasilyCompareElements)"]},"CanEasilySortElements" : {"type" : "GAP_Pro\
+perty","implied" : ["CanEasilyCompareElements","Tester(CanEasilyCompareElements)","CanEasilySortElements","Tester(CanEasilySortElemen\
+ts)"]},"IsSmallList" : {"type" : "GAP_Property","implied" : ["IsSmallList","Tester(IsSmallList)"]},"IsSortedList" : {"type" : "GAP_Pr\
+operty","implied" : ["IsSortedList","Tester(IsSortedList)"]},"IsSSortedList" : {"type" : "GAP_Property","implied" : ["IsSSortedList",\
+"Tester(IS_SSORT_LIST)","IsSortedList","Tester(IsSortedList)"]},"IsDuplicateFree" : {"type" : "GAP_Property","implied" : ["IsDuplicat\
+eFree","Tester(IsDuplicateFree)"]},"IsPositionsList" : {"type" : "GAP_Property","implied" : ["IsPositionsList","Tester(IS_POSS_LIST)"\
+]},"IsZero" : {"type" : "GAP_Property","implied" : ["IsZero","Tester(IsZero)"]},"IsOne" : {"type" : "GAP_Property","implied" : ["IsOn\
+e","Tester(IsOne)"]},"IsCommutativeFamily" : {"type" : "GAP_Property","implied" : ["IsCommutativeFamily","Tester(IsCommutativeFamily)\
+"]},"IsSkewFieldFamily" : {"type" : "GAP_Property","implied" : ["IsSkewFieldFamily","Tester(IsSkewFieldFamily)"]},"IsUFDFamily" : {"t\
+ype" : "GAP_Property","implied" : ["IsUFDFamily","Tester(IsUFDFamily)"]},"IsIdempotent" : {"type" : "GAP_Property","implied" : ["IsId\
+empotent","Tester(IsIdempotent)"]},"IsIntegralCyclotomic" : {"type" : "GAP_Property","implied" : ["IsIntegralCyclotomic","Tester(IsIn\
+tegralCyclotomic)"]},"IsRectangularTable" : {"type" : "GAP_Property","implied" : ["IsList","IsDenseList","IsHomogeneousList","IsTable\
+","IsListOrCollection","IsCollection","IsRectangularTable","Tester(IsRectangularTable)"]},"IsPInfinity" : {"type" : "GAP_Property","i\
+mplied" : ["IsPInfinity","Tester(IsPInfinity)"]},"IsNInfinity" : {"type" : "GAP_Property","implied" : ["IsNInfinity","Tester(IsNInfin\
+ity)"]},"IsXInfinity" : {"type" : "GAP_Property","implied" : ["IsXInfinity","Tester(IsXInfinity)"]},"IsNaN" : {"type" : "GAP_Property\
+","implied" : ["IsNaN","Tester(IsNaN)"]},"IsLeftActedOnByDivisionRing" : {"type" : "GAP_Property","implied" : ["IsLeftActedOnByDivisi\
+onRing","Tester(IsLeftActedOnByDivisionRing)"]},"IsConstantTimeAccessGeneralMapping" : {"type" : "GAP_Property","implied" : ["IsConst\
+antTimeAccessGeneralMapping","Tester(IsConstantTimeAccessGeneralMapping)"]},"IsEndoGeneralMapping" : {"type" : "GAP_Property","implie\
+d" : ["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)"]},"IsTotal" : {"type" : "GAP_Property","implied" : ["IsTotal","Tester(IsT\
+otal)"]},"IsSingleValued" : {"type" : "GAP_Property","implied" : ["IsSingleValued","Tester(IsSingleValued)"]},"IsInjective" : {"type"\
+ : "GAP_Property","implied" : ["IsInjective","Tester(IsInjective)"]},"IsSurjective" : {"type" : "GAP_Property","implied" : ["IsSurjec\
+tive","Tester(IsSurjective)"]},"RespectsMultiplication" : {"type" : "GAP_Property","implied" : ["RespectsMultiplication","Tester(Resp\
+ectsMultiplication)"]},"RespectsOne" : {"type" : "GAP_Property","implied" : ["RespectsOne","Tester(RespectsOne)"]},"RespectsInverses"\
+ : {"type" : "GAP_Property","implied" : ["RespectsInverses","Tester(RespectsInverses)"]},"RespectsAddition" : {"type" : "GAP_Property\
+","implied" : ["RespectsAddition","Tester(RespectsAddition)"]},"RespectsZero" : {"type" : "GAP_Property","implied" : ["RespectsZero",\
+"Tester(RespectsZero)"]},"RespectsAdditiveInverses" : {"type" : "GAP_Property","implied" : ["RespectsAdditiveInverses","Tester(Respec\
+tsAdditiveInverses)"]},"RespectsScalarMultiplication" : {"type" : "GAP_Property","implied" : ["RespectsAdditiveInverses","Tester(Resp\
+ectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)"]},"IsFieldHomomorphism" : {"type" : "GAP\
+_Property","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeE\
+lementWithInverse","IsAssociativeElement","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","R\
+espectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(Respects\
+Zero)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplicat\
+ion)","IsFieldHomomorphism","Tester(IsFieldHomomorphism)"]},"TransformsMultiplicationIntoAddition" : {"type" : "GAP_Property","implie\
+d" : ["TransformsMultiplicationIntoAddition","Tester(TransformsMultiplicationIntoAddition)"]},"TranformsOneIntoZero" : {"type" : "GAP\
+_Property","implied" : ["TranformsOneIntoZero","Tester(TranformsOneIntoZero)"]},"TransformsInversesIntoAdditiveInverses" : {"type" : \
+"GAP_Property","implied" : ["TransformsInversesIntoAdditiveInverses","Tester(TransformsInversesIntoAdditiveInverses)"]},"TransformsAd\
+ditionIntoMultiplication" : {"type" : "GAP_Property","implied" : ["TransformsAdditionIntoMultiplication","Tester(TransformsAdditionIn\
+toMultiplication)"]},"TransformsZeroIntoOne" : {"type" : "GAP_Property","implied" : ["TransformsZeroIntoOne","Tester(TransformsZeroIn\
+toOne)"]},"TransformsAdditiveInversesIntoInverses" : {"type" : "GAP_Property","implied" : ["TransformsAdditiveInversesIntoInverses","\
+Tester(TransformsAdditiveInversesIntoInverses)"]},"IsReflexiveBinaryRelation" : {"type" : "GAP_Property","implied" : ["IsTotal","Test\
+er(IsTotal)","IsReflexiveBinaryRelation","Tester(IsReflexiveBinaryRelation)"]},"IsSymmetricBinaryRelation" : {"type" : "GAP_Property"\
+,"implied" : ["IsSymmetricBinaryRelation","Tester(IsSymmetricBinaryRelation)"]},"IsTransitiveBinaryRelation" : {"type" : "GAP_Propert\
+y","implied" : ["IsTransitiveBinaryRelation","Tester(IsTransitiveBinaryRelation)"]},"IsAntisymmetricBinaryRelation" : {"type" : "GAP_\
+Property","implied" : ["IsAntisymmetricBinaryRelation","Tester(IsAntisymmetricBinaryRelation)"]},"IsPreOrderBinaryRelation" : {"type"\
+ : "GAP_Property","implied" : ["IsPreOrderBinaryRelation","Tester(IsPreOrderBinaryRelation)"]},"IsPartialOrderBinaryRelation" : {"typ\
+e" : "GAP_Property","implied" : ["IsPartialOrderBinaryRelation","Tester(IsPartialOrderBinaryRelation)"]},"IsLatticeOrderBinaryRelatio\
+n" : {"type" : "GAP_Property","implied" : ["IsPartialOrderBinaryRelation","Tester(IsPartialOrderBinaryRelation)","IsLatticeOrderBinar\
+yRelation","Tester(IsLatticeOrderBinaryRelation)"]},"IsEquivalenceRelation" : {"type" : "GAP_Property","implied" : ["IsEndoGeneralMap\
+ping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsReflexiveBinaryRelation","Tester(IsReflexiveBinaryRelation)","IsS\
+ymmetricBinaryRelation","Tester(IsSymmetricBinaryRelation)","IsTransitiveBinaryRelation","Tester(IsTransitiveBinaryRelation)","IsPreO\
+rderBinaryRelation","Tester(IsPreOrderBinaryRelation)","IsEquivalenceRelation","Tester(IsEquivalenceRelation)"]},"IsHasseDiagram" : {\
+"type" : "GAP_Property","implied" : ["IsHasseDiagram","Tester(IsHasseDiagram)"]},"IsGeneratorsOfMagmaWithInverses" : {"type" : "GAP_P\
+roperty","implied" : ["IsGeneratorsOfMagmaWithInverses","Tester(IsGeneratorsOfMagmaWithInverses)"]},"IsAssociative" : {"type" : "GAP_\
+Property","implied" : ["IsAssociative","Tester(IsAssociative)"]},"IsCommutative" : {"type" : "GAP_Property","implied" : ["IsCommutati\
+ve","Tester(IsCommutative)"]},"IsLeftSemigroupCongruence" : {"type" : "GAP_Property","implied" : ["IsLeftSemigroupCongruence","Tester\
+(IsLeftSemigroupCongruence)"]},"IsRightSemigroupCongruence" : {"type" : "GAP_Property","implied" : ["IsRightSemigroupCongruence","Tes\
+ter(IsRightSemigroupCongruence)"]},"IsSemigroupCongruence" : {"type" : "GAP_Property","implied" : ["IsLeftSemigroupCongruence","Teste\
+r(IsLeftSemigroupCongruence)","IsRightSemigroupCongruence","Tester(IsRightSemigroupCongruence)","IsSemigroupCongruence","Tester(IsSem\
+igroupCongruence)"]},"IsReesCongruence" : {"type" : "GAP_Property","implied" : ["IsReesCongruence","Tester(IsReesCongruence)"]},"IsGe\
+neratorsOfSemigroup" : {"type" : "GAP_Property","implied" : ["IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)"]},"IsZeroGro\
+up" : {"type" : "GAP_Property","implied" : ["IsZeroGroup","Tester(IsZeroGroup)","IsZeroSimpleSemigroup","Tester(IsZeroSimpleSemigroup\
+)"]},"IsSimpleSemigroup" : {"type" : "GAP_Property","implied" : ["IsSimpleSemigroup","Tester(IsSimpleSemigroup)","IsRegularSemigroup"\
+,"Tester(IsRegularSemigroup)","IsCompletelyRegularSemigroup","Tester(IsCompletelyRegularSemigroup)"]},"IsZeroSimpleSemigroup" : {"typ\
+e" : "GAP_Property","implied" : ["IsZeroSimpleSemigroup","Tester(IsZeroSimpleSemigroup)"]},"IsReesCongruenceSemigroup" : {"type" : "G\
+AP_Property","implied" : ["IsReesCongruenceSemigroup","Tester(IsReesCongruenceSemigroup)"]},"IsRegularSemigroup" : {"type" : "GAP_Pro\
+perty","implied" : ["IsRegularSemigroup","Tester(IsRegularSemigroup)"]},"IsInverseSemigroup" : {"type" : "GAP_Property","implied" : [\
+"IsRegularSemigroup","Tester(IsRegularSemigroup)","IsInverseSemigroup","Tester(IsInverseSemigroup)","IsOrthodoxSemigroup","Tester(IsO\
+rthodoxSemigroup)"]},"IsBand" : {"type" : "GAP_Property","implied" : ["IsBand","Tester(IsBand)"]},"IsBrandtSemigroup" : {"type" : "GA\
+P_Property","implied" : ["IsBrandtSemigroup","Tester(IsBrandtSemigroup)"]},"IsCliffordSemigroup" : {"type" : "GAP_Property","implied"\
+ : ["IsRegularSemigroup","Tester(IsRegularSemigroup)","IsInverseSemigroup","Tester(IsInverseSemigroup)","IsCliffordSemigroup","Tester\
+(IsCliffordSemigroup)","IsCompletelyRegularSemigroup","Tester(IsCompletelyRegularSemigroup)","IsOrthodoxSemigroup","Tester(IsOrthodox\
+Semigroup)"]},"IsCommutativeSemigroup" : {"type" : "GAP_Property","implied" : ["IsCommutativeSemigroup","Tester(IsCommutativeSemigrou\
+p)"]},"IsCompletelyRegularSemigroup" : {"type" : "GAP_Property","implied" : ["IsCompletelyRegularSemigroup","Tester(IsCompletelyRegul\
+arSemigroup)"]},"IsCompletelySimpleSemigroup" : {"type" : "GAP_Property","implied" : ["IsCompletelySimpleSemigroup","Tester(IsComplet\
+elySimpleSemigroup)"]},"IsGroupAsSemigroup" : {"type" : "GAP_Property","implied" : ["IsSimpleSemigroup","Tester(IsSimpleSemigroup)","\
+IsRegularSemigroup","Tester(IsRegularSemigroup)","IsInverseSemigroup","Tester(IsInverseSemigroup)","IsCompletelyRegularSemigroup","Te\
+ster(IsCompletelyRegularSemigroup)","IsGroupAsSemigroup","Tester(IsGroupAsSemigroup)","IsOrthodoxSemigroup","Tester(IsOrthodoxSemigro\
+up)"]},"IsIdempotentGenerated" : {"type" : "GAP_Property","implied" : ["IsIdempotentGenerated","Tester(IsIdempotentGenerated)","IsSem\
+iband","Tester(IsSemiband)"]},"IsLeftZeroSemigroup" : {"type" : "GAP_Property","implied" : ["IsLeftZeroSemigroup","Tester(IsLeftZeroS\
+emigroup)"]},"IsMonogenicSemigroup" : {"type" : "GAP_Property","implied" : ["IsMonogenicSemigroup","Tester(IsMonogenicSemigroup)"]},"\
+IsMonoidAsSemigroup" : {"type" : "GAP_Property","implied" : ["IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)"]},"IsNilpotentSemigr\
+oup" : {"type" : "GAP_Property","implied" : ["IsNilpotentSemigroup","Tester(IsNilpotentSemigroup)"]},"IsOrthodoxSemigroup" : {"type" \
+: "GAP_Property","implied" : ["IsOrthodoxSemigroup","Tester(IsOrthodoxSemigroup)"]},"IsRectangularBand" : {"type" : "GAP_Property","i\
+mplied" : ["IsRectangularBand","Tester(IsRectangularBand)"]},"IsRightZeroSemigroup" : {"type" : "GAP_Property","implied" : ["IsRightZ\
+eroSemigroup","Tester(IsRightZeroSemigroup)"]},"IsSemiband" : {"type" : "GAP_Property","implied" : ["IsSemiband","Tester(IsSemiband)"\
+]},"IsSemilattice" : {"type" : "GAP_Property","implied" : ["IsRegularSemigroup","Tester(IsRegularSemigroup)","IsInverseSemigroup","Te\
+ster(IsInverseSemigroup)","IsBand","Tester(IsBand)","IsCliffordSemigroup","Tester(IsCliffordSemigroup)","IsCompletelyRegularSemigroup\
+","Tester(IsCompletelyRegularSemigroup)","IsIdempotentGenerated","Tester(IsIdempotentGenerated)","IsOrthodoxSemigroup","Tester(IsOrth\
+odoxSemigroup)","IsSemiband","Tester(IsSemiband)","IsSemilattice","Tester(IsSemilattice)"]},"IsZeroSemigroup" : {"type" : "GAP_Proper\
+ty","implied" : ["IsZeroSemigroup","Tester(IsZeroSemigroup)"]},"IsLeftSemigroupIdeal" : {"type" : "GAP_Property","implied" : ["IsLeft\
+SemigroupIdeal","Tester(IsLeftSemigroupIdeal)"]},"IsRightSemigroupIdeal" : {"type" : "GAP_Property","implied" : ["IsRightSemigroupIde\
+al","Tester(IsRightSemigroupIdeal)"]},"IsSemigroupIdeal" : {"type" : "GAP_Property","implied" : ["IsSemigroupIdeal","Tester(IsSemigro\
+upIdeal)"]},"IsCyclic" : {"type" : "GAP_Property","implied" : ["IsCyclic","Tester(IsCyclic)"]},"IsElementaryAbelian" : {"type" : "GAP\
+_Property","implied" : ["IsElementaryAbelian","Tester(IsElementaryAbelian)"]},"IsFinitelyGeneratedGroup" : {"type" : "GAP_Property","\
+implied" : ["IsFinitelyGeneratedGroup","Tester(IsFinitelyGeneratedGroup)"]},"IsSubsetLocallyFiniteGroup" : {"type" : "GAP_Property","\
+implied" : ["IsSubsetLocallyFiniteGroup","Tester(IsSubsetLocallyFiniteGroup)"]},"KnowsHowToDecompose" : {"type" : "GAP_Property","imp\
+lied" : ["KnowsHowToDecompose","Tester(KnowsHowToDecompose)"]},"IsPGroup" : {"type" : "GAP_Property","implied" : ["IsPGroup","Tester(\
+IsPGroup)"]},"IsNilpotentGroup" : {"type" : "GAP_Property","implied" : ["IsNilpotentGroup","Tester(IsNilpotentGroup)","IsSupersolvabl\
+eGroup","Tester(IsSupersolvableGroup)","IsSolvableGroup","Tester(IsSolvableGroup)","IsNilpotentByFinite","Tester(IsNilpotentByFinite)\
+"]},"IsPerfectGroup" : {"type" : "GAP_Property","implied" : ["IsPerfectGroup","Tester(IsPerfectGroup)"]},"IsSporadicSimpleGroup" : {"\
+type" : "GAP_Property","implied" : ["IsSporadicSimpleGroup","Tester(IsSporadicSimpleGroup)"]},"IsSimpleGroup" : {"type" : "GAP_Proper\
+ty","implied" : ["IsSimpleGroup","Tester(IsSimpleGroup)"]},"IsAlmostSimpleGroup" : {"type" : "GAP_Property","implied" : ["IsAlmostSim\
+pleGroup","Tester(IsAlmostSimpleGroup)"]},"IsSupersolvableGroup" : {"type" : "GAP_Property","implied" : ["IsSupersolvableGroup","Test\
+er(IsSupersolvableGroup)","IsSolvableGroup","Tester(IsSolvableGroup)"]},"IsMonomialGroup" : {"type" : "GAP_Property","implied" : ["Is\
+MonomialGroup","Tester(IsMonomialGroup)","IsSolvableGroup","Tester(IsSolvableGroup)"]},"IsSolvableGroup" : {"type" : "GAP_Property","\
+implied" : ["IsSolvableGroup","Tester(IsSolvableGroup)"]},"IsPolycyclicGroup" : {"type" : "GAP_Property","implied" : ["IsSolvableGrou\
+p","Tester(IsSolvableGroup)","IsPolycyclicGroup","Tester(IsPolycyclicGroup)"]},"IsNormalInParent" : {"type" : "GAP_Property","implied\
+" : ["IsNormalInParent","Tester(IsNormalInParent)"]},"IsGeneratorsOfInverseSemigroup" : {"type" : "GAP_Property","implied" : ["IsGene\
+ratorsOfInverseSemigroup","Tester(IsGeneratorsOfInverseSemigroup)"]},"IsAdditivelyCommutative" : {"type" : "GAP_Property","implied" :\
+ ["IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"]},"IsLDistributive" : {"type" : "GAP_Property","implied" : ["IsLDistrib\
+utive","Tester(IsLDistributive)"]},"IsRDistributive" : {"type" : "GAP_Property","implied" : ["IsRDistributive","Tester(IsRDistributiv\
+e)"]},"IsAnticommutative" : {"type" : "GAP_Property","implied" : ["IsAnticommutative","Tester(IsAnticommutative)"]},"IsIntegralRing" \
+: {"type" : "GAP_Property","implied" : ["IsIntegralRing","Tester(IsIntegralRing)"]},"IsJacobianRing" : {"type" : "GAP_Property","impl\
+ied" : ["IsJacobianRing","Tester(IsJacobianRing)"]},"IsZeroSquaredRing" : {"type" : "GAP_Property","implied" : ["IsZeroSquaredRing","\
+Tester(IsZeroSquaredRing)"]},"IsZeroMultiplicationRing" : {"type" : "GAP_Property","implied" : ["IsZeroMultiplicationRing","Tester(Is\
+ZeroMultiplicationRing)"]},"IsGeneralizedCartanMatrix" : {"type" : "GAP_Property","implied" : ["IsGeneralizedCartanMatrix","Tester(Is\
+GeneralizedCartanMatrix)"]},"IsMonomialMatrix" : {"type" : "GAP_Property","implied" : ["IsMonomialMatrix","Tester(IsMonomialMatrix)"]\
+},"IsTwoSidedIdealInParent" : {"type" : "GAP_Property","implied" : ["IsTwoSidedIdealInParent","Tester(IsTwoSidedIdealInParent)","IsLe\
+ftIdealInParent","Tester(IsLeftIdealInParent)","IsRightIdealInParent","Tester(IsRightIdealInParent)"]},"IsLeftIdealInParent" : {"type\
+" : "GAP_Property","implied" : ["IsLeftIdealInParent","Tester(IsLeftIdealInParent)"]},"IsRightIdealInParent" : {"type" : "GAP_Propert\
+y","implied" : ["IsRightIdealInParent","Tester(IsRightIdealInParent)"]},"IsFiniteDimensional" : {"type" : "GAP_Property","implied" : \
+["IsFiniteDimensional","Tester(IsFiniteDimensional)"]},"IsFullRowModule" : {"type" : "GAP_Property","implied" : ["IsFullRowModule","T\
+ester(IsFullRowModule)","IsRowModule","Tester(IsRowModule)"]},"IsFullMatrixModule" : {"type" : "GAP_Property","implied" : ["IsFullMat\
+rixModule","Tester(IsFullMatrixModule)","IsMatrixModule","Tester(IsMatrixModule)"]},"IsRowModule" : {"type" : "GAP_Property","implied\
+" : ["IsRowModule","Tester(IsRowModule)"]},"IsMatrixModule" : {"type" : "GAP_Property","implied" : ["IsMatrixModule","Tester(IsMatrix\
+Module)"]},"IsCanonicalBasis" : {"type" : "GAP_Property","implied" : ["IsCanonicalBasis","Tester(IsCanonicalBasis)"]},"IsCanonicalBas\
+isFullRowModule" : {"type" : "GAP_Property","implied" : ["IsCanonicalBasis","Tester(IsCanonicalBasis)","IsCanonicalBasisFullRowModule\
+","Tester(IsCanonicalBasisFullRowModule)"]},"IsCanonicalBasisFullMatrixModule" : {"type" : "GAP_Property","implied" : ["IsCanonicalBa\
+sis","Tester(IsCanonicalBasis)","IsCanonicalBasisFullMatrixModule","Tester(IsCanonicalBasisFullMatrixModule)"]},"IsIntegralBasis" : {\
+"type" : "GAP_Property","implied" : ["IsIntegralBasis","Tester(IsIntegralBasis)"]},"IsNormalBasis" : {"type" : "GAP_Property","implie\
+d" : ["IsNormalBasis","Tester(IsNormalBasis)"]},"IsSemiEchelonized" : {"type" : "GAP_Property","implied" : ["IsSemiEchelonized","Test\
+er(IsSemiEchelonized)"]},"IsVectorSpaceHomomorphism" : {"type" : "GAP_Property","implied" : ["IsVectorSpaceHomomorphism","Tester(IsVe\
+ctorSpaceHomomorphism)"]},"IsFullHomModule" : {"type" : "GAP_Property","implied" : ["IsFullHomModule","Tester(IsFullHomModule)"]},"Is\
+PseudoCanonicalBasisFullHomModule" : {"type" : "GAP_Property","implied" : ["IsPseudoCanonicalBasisFullHomModule","Tester(IsPseudoCano\
+nicalBasisFullHomModule)"]},"IsSimpleAlgebra" : {"type" : "GAP_Property","implied" : ["IsSimpleAlgebra","Tester(IsSimpleAlgebra)"]},"\
+IsGroupRing" : {"type" : "GAP_Property","implied" : ["IsGroupRing","Tester(IsGroupRing)"]},"IsFullFpAlgebra" : {"type" : "GAP_Propert\
+y","implied" : ["IsFullFpAlgebra","Tester(IsFullFpAlgebra)"]},"IsNormalForm" : {"type" : "GAP_Property","implied" : ["IsNormalForm","\
+Tester(IsNormalForm)"]},"IsLieAbelian" : {"type" : "GAP_Property","implied" : ["IsLieAbelian","Tester(IsLieAbelian)","IsLieNilpotent"\
+,"Tester(IsLieNilpotent)","IsLieSolvable","Tester(IsLieSolvable)"]},"IsLieNilpotent" : {"type" : "GAP_Property","implied" : ["IsLieNi\
+lpotent","Tester(IsLieNilpotent)","IsLieSolvable","Tester(IsLieSolvable)"]},"IsRestrictedLieAlgebra" : {"type" : "GAP_Property","impl\
+ied" : ["IsRestrictedLieAlgebra","Tester(IsRestrictedLieAlgebra)"]},"IsLieSolvable" : {"type" : "GAP_Property","implied" : ["IsLieSol\
+vable","Tester(IsLieSolvable)"]},"IsFullSCAlgebra" : {"type" : "GAP_Property","implied" : ["IsFullSCAlgebra","Tester(IsFullSCAlgebra)\
+"]},"IsCanonicalBasisFullSCAlgebra" : {"type" : "GAP_Property","implied" : ["IsCanonicalBasis","Tester(IsCanonicalBasis)","IsCanonica\
+lBasisFullSCAlgebra","Tester(IsCanonicalBasisFullSCAlgebra)"]},"IsAlgebraModule" : {"type" : "GAP_Property","implied" : ["IsAlgebraMo\
+dule","Tester(IsAlgebraModule)"]},"IsLeftAlgebraModule" : {"type" : "GAP_Property","implied" : ["IsLeftAlgebraModule","Tester(IsLeftA\
+lgebraModule)"]},"IsRightAlgebraModule" : {"type" : "GAP_Property","implied" : ["IsRightAlgebraModule","Tester(IsRightAlgebraModule)"\
+]},"IsWeylGroup" : {"type" : "GAP_Property","implied" : ["IsWeylGroup","Tester(IsWeylGroup)"]},"IsPolynomial" : {"type" : "GAP_Proper\
+ty","implied" : ["IsPolynomial","Tester(IsPolynomial)"]},"IsUnivariateRationalFunction" : {"type" : "GAP_Property","implied" : ["IsUn\
+ivariateRationalFunction","Tester(IsUnivariateRationalFunction)"]},"IsLaurentPolynomial" : {"type" : "GAP_Property","implied" : ["IsU\
+nivariateRationalFunction","Tester(IsUnivariateRationalFunction)","IsLaurentPolynomial","Tester(IsLaurentPolynomial)"]},"IsConstantRa\
+tionalFunction" : {"type" : "GAP_Property","implied" : ["IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)","IsCons\
+tantRationalFunction","Tester(IsConstantRationalFunction)"]},"IsPrimeField" : {"type" : "GAP_Property","implied" : ["IsPrimeField","T\
+ester(IsPrimeField)"]},"IsNumberField" : {"type" : "GAP_Property","implied" : ["IsNumberField","Tester(IsNumberField)"]},"IsAbelianNu\
+mberField" : {"type" : "GAP_Property","implied" : ["IsNumberField","Tester(IsNumberField)","IsAbelianNumberField","Tester(IsAbelianNu\
+mberField)"]},"IsCyclotomicField" : {"type" : "GAP_Property","implied" : ["IsNumberField","Tester(IsNumberField)","IsAbelianNumberFie\
+ld","Tester(IsAbelianNumberField)","IsCyclotomicField","Tester(IsCyclotomicField)"]},"IsFreeSemigroup" : {"type" : "GAP_Property","im\
+plied" : ["IsFreeSemigroup","Tester(IsFreeSemigroup)"]},"IsFreeMonoid" : {"type" : "GAP_Property","implied" : ["IsFreeMonoid","Tester\
+(IsFreeMonoid)"]},"IsBuiltFromAdditiveMagmaWithInverses" : {"type" : "GAP_Property","implied" : ["IsBuiltFromAdditiveMagmaWithInverse\
+s","Tester(IsBuiltFromAdditiveMagmaWithInverses)"]},"IsBuiltFromMagma" : {"type" : "GAP_Property","implied" : ["IsBuiltFromMagma","Te\
+ster(IsBuiltFromMagma)"]},"IsBuiltFromMagmaWithOne" : {"type" : "GAP_Property","implied" : ["IsBuiltFromMagma","Tester(IsBuiltFromMag\
+ma)","IsBuiltFromMagmaWithOne","Tester(IsBuiltFromMagmaWithOne)"]},"IsBuiltFromMagmaWithInverses" : {"type" : "GAP_Property","implied\
+" : ["IsBuiltFromMagma","Tester(IsBuiltFromMagma)","IsBuiltFromMagmaWithOne","Tester(IsBuiltFromMagmaWithOne)","IsBuiltFromMagmaWithI\
+nverses","Tester(IsBuiltFromMagmaWithInverses)"]},"IsBuiltFromGroup" : {"type" : "GAP_Property","implied" : ["IsBuiltFromMagma","Test\
+er(IsBuiltFromMagma)","IsBuiltFromMagmaWithOne","Tester(IsBuiltFromMagmaWithOne)","IsBuiltFromMagmaWithInverses","Tester(IsBuiltFromM\
+agmaWithInverses)","IsBuiltFromGroup","Tester(IsBuiltFromGroup)"]},"IsBuiltFromSemigroup" : {"type" : "GAP_Property","implied" : ["Is\
+BuiltFromSemigroup","Tester(IsBuiltFromSemigroup)"]},"IsBuiltFromMonoid" : {"type" : "GAP_Property","implied" : ["IsBuiltFromMonoid",\
+"Tester(IsBuiltFromMonoid)"]},"IsConfluent" : {"type" : "GAP_Property","implied" : ["IsConfluent","Tester(IsConfluent)"]},"IsReduced"\
+ : {"type" : "GAP_Property","implied" : ["IsReduced","Tester(IsReduced)"]},"IsPcgsElementaryAbelianSeries" : {"type" : "GAP_Property"\
+,"implied" : ["IsPcgsElementaryAbelianSeries","Tester(IsPcgsElementaryAbelianSeries)"]},"IsPcgsCentralSeries" : {"type" : "GAP_Proper\
+ty","implied" : ["IsPcgsCentralSeries","Tester(IsPcgsCentralSeries)"]},"IsPcgsPCentralSeriesPGroup" : {"type" : "GAP_Property","impli\
+ed" : ["IsPcgsPCentralSeriesPGroup","Tester(IsPcgsPCentralSeriesPGroup)"]},"IsPcgsChiefSeries" : {"type" : "GAP_Property","implied" :\
+ ["IsPcgsChiefSeries","Tester(IsPcgsChiefSeries)"]},"IsPrimeOrdersPcgs" : {"type" : "GAP_Property","implied" : ["IsPrimeOrdersPcgs","\
+Tester(IsPrimeOrdersPcgs)","IsFiniteOrdersPcgs","Tester(IsFiniteOrdersPcgs)"]},"IsFiniteOrdersPcgs" : {"type" : "GAP_Property","impli\
+ed" : ["IsFiniteOrdersPcgs","Tester(IsFiniteOrdersPcgs)"]},"IsCanonicalPcgs" : {"type" : "GAP_Property","implied" : ["IsCanonicalPcgs\
+","Tester(IsCanonicalPcgs)"]},"IsParentPcgsFamilyPcgs" : {"type" : "GAP_Property","implied" : ["IsParentPcgsFamilyPcgs","Tester(IsPar\
+entPcgsFamilyPcgs)"]},"IsFamilyPcgs" : {"type" : "GAP_Property","implied" : ["IsCanonicalPcgs","Tester(IsCanonicalPcgs)","IsParentPcg\
+sFamilyPcgs","Tester(IsParentPcgsFamilyPcgs)","IsFamilyPcgs","Tester(IsFamilyPcgs)"]},"IsNumeratorParentPcgsFamilyPcgs" : {"type" : "\
+GAP_Property","implied" : ["IsNumeratorParentPcgsFamilyPcgs","Tester(IsNumeratorParentPcgsFamilyPcgs)"]},"IsSpecialPcgs" : {"type" : \
+"GAP_Property","implied" : ["IsPcgsElementaryAbelianSeries","Tester(IsPcgsElementaryAbelianSeries)","IsSpecialPcgs","Tester(IsSpecial\
+Pcgs)"]},"IsInducedPcgsWrtSpecialPcgs" : {"type" : "GAP_Property","implied" : ["IsInducedPcgsWrtSpecialPcgs","Tester(IsInducedPcgsWrt\
+SpecialPcgs)"]},"IsCanonicalPcgsWrtSpecialPcgs" : {"type" : "GAP_Property","implied" : ["IsCanonicalPcgsWrtSpecialPcgs","Tester(IsCan\
+onicalPcgsWrtSpecialPcgs)"]},"IsConjugatorIsomorphism" : {"type" : "GAP_Property","implied" : ["IsExtLElement","IsExtRElement","IsMul\
+tiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","\
+IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSur\
+jective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(Re\
+spectsInverses)","IsConjugatorIsomorphism","Tester(IsConjugatorIsomorphism)"]},"IsInnerAutomorphism" : {"type" : "GAP_Property","impl\
+ied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInvers\
+e","IsAssociativeElement","IsGeneralMapping","IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsSin\
+gleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)","RespectsMultiplication\
+","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsConjugatorIso\
+morphism","Tester(IsConjugatorIsomorphism)","IsInnerAutomorphism","Tester(IsInnerAutomorphism)"]},"IsNaturalSymmetricGroup" : {"type"\
+ : "GAP_Property","implied" : ["IsNaturalSymmetricGroup","Tester(IsNaturalSymmetricGroup)","IsSymmetricGroup","Tester(IsSymmetricGrou\
+p)"]},"IsNaturalAlternatingGroup" : {"type" : "GAP_Property","implied" : ["IsNaturalAlternatingGroup","Tester(IsNaturalAlternatingGro\
+up)","IsAlternatingGroup","Tester(IsAlternatingGroup)"]},"IsAlternatingGroup" : {"type" : "GAP_Property","implied" : ["IsAlternatingG\
+roup","Tester(IsAlternatingGroup)"]},"IsSymmetricGroup" : {"type" : "GAP_Property","implied" : ["IsSymmetricGroup","Tester(IsSymmetri\
+cGroup)"]},"IsDihedralGroup" : {"type" : "GAP_Property","implied" : ["IsDihedralGroup","Tester(IsDihedralGroup)"]},"IsQuaternionGroup\
+" : {"type" : "GAP_Property","implied" : ["IsQuaternionGroup","Tester(IsQuaternionGroup)"]},"IsQuasiDihedralGroup" : {"type" : "GAP_P\
+roperty","implied" : ["IsQuasiDihedralGroup","Tester(IsQuasiDihedralGroup)"]},"IsPSL" : {"type" : "GAP_Property","implied" : ["IsPSL"\
+,"Tester(IsPSL)"]},"IsPQuotientSystem" : {"type" : "GAP_Property","implied" : ["IsPQuotientSystem","Tester(IsPQuotientSystem)"]},"IsN\
+ilpQuotientSystem" : {"type" : "GAP_Property","implied" : ["IsNilpQuotientSystem","Tester(IsNilpQuotientSystem)"]},"IsTransitive" : {\
+"type" : "GAP_Property","implied" : ["IsTransitive","Tester(IsTransitive)"]},"IsPrimitive" : {"type" : "GAP_Property","implied" : ["I\
+sPrimitive","Tester(IsPrimitive)"]},"IsPrimitiveAffine" : {"type" : "GAP_Property","implied" : ["IsPrimitiveAffine","Tester(IsPrimiti\
+veAffine)"]},"IsSemiRegular" : {"type" : "GAP_Property","implied" : ["IsSemiRegular","Tester(IsSemiRegular)"]},"IsRegular" : {"type" \
+: "GAP_Property","implied" : ["IsRegular","Tester(IsRegular)"]},"IsCentralFactor" : {"type" : "GAP_Property","implied" : ["IsCentralF\
+actor","Tester(IsCentralFactor)"]},"IsFrattiniFree" : {"type" : "GAP_Property","implied" : ["IsFrattiniFree","Tester(IsFrattiniFree)"\
+]},"IsWordDecompHomomorphism" : {"type" : "GAP_Property","implied" : ["IsWordDecompHomomorphism","Tester(IsWordDecompHomomorphism)"]}\
+,"IsCanonicalNiceMonomorphism" : {"type" : "GAP_Property","implied" : ["IsCanonicalNiceMonomorphism","Tester(IsCanonicalNiceMonomorph\
+ism)"]},"IsHandledByNiceMonomorphism" : {"type" : "GAP_Property","implied" : ["CanEasilyTestMembership","IsHandledByNiceMonomorphism"\
+,"Tester(IsHandledByNiceMonomorphism)"]},"IsGroupOfAutomorphisms" : {"type" : "GAP_Property","implied" : ["IsGroupOfAutomorphisms","T\
+ester(IsGroupOfAutomorphisms)"]},"IsGroupOfAutomorphismsFiniteGroup" : {"type" : "GAP_Property","implied" : ["IsFinite","Tester(IsFin\
+ite)","CanEasilyTestMembership","IsHandledByNiceMonomorphism","Tester(IsHandledByNiceMonomorphism)","IsGroupOfAutomorphisms","Tester(\
+IsGroupOfAutomorphisms)","IsGroupOfAutomorphismsFiniteGroup","Tester(IsGroupOfAutomorphismsFiniteGroup)"]},"IsAutomorphismGroup" : {"\
+type" : "GAP_Property","implied" : ["IsGroupOfAutomorphisms","Tester(IsGroupOfAutomorphisms)","IsAutomorphismGroup","Tester(IsAutomor\
+phismGroup)"]},"IsGeneralLinearGroup" : {"type" : "GAP_Property","implied" : ["IsGeneralLinearGroup","Tester(IsGeneralLinearGroup)"]}\
+,"IsNaturalGL" : {"type" : "GAP_Property","implied" : ["IsGeneralLinearGroup","Tester(IsGeneralLinearGroup)","IsNaturalGL","Tester(Is\
+NaturalGL)"]},"IsSpecialLinearGroup" : {"type" : "GAP_Property","implied" : ["IsSpecialLinearGroup","Tester(IsSpecialLinearGroup)"]},\
+"IsNaturalSL" : {"type" : "GAP_Property","implied" : ["IsSpecialLinearGroup","Tester(IsSpecialLinearGroup)","IsNaturalSL","Tester(IsN\
+aturalSL)","IsSubgroupSL","Tester(IsSubgroupSL)"]},"IsSubgroupSL" : {"type" : "GAP_Property","implied" : ["IsSubgroupSL","Tester(IsSu\
+bgroupSL)"]},"IsFullSubgroupGLorSLRespectingBilinearForm" : {"type" : "GAP_Property","implied" : ["IsFullSubgroupGLorSLRespectingBili\
+nearForm","Tester(IsFullSubgroupGLorSLRespectingBilinearForm)"]},"IsFullSubgroupGLorSLRespectingSesquilinearForm" : {"type" : "GAP_Pr\
+operty","implied" : ["IsFullSubgroupGLorSLRespectingSesquilinearForm","Tester(IsFullSubgroupGLorSLRespectingSesquilinearForm)"]},"IsF\
+ullSubgroupGLorSLRespectingQuadraticForm" : {"type" : "GAP_Property","implied" : ["IsFullSubgroupGLorSLRespectingQuadraticForm","Test\
+er(IsFullSubgroupGLorSLRespectingQuadraticForm)"]},"IsRationalMatrixGroup" : {"type" : "GAP_Property","implied" : ["IsRationalMatrixG\
+roup","Tester(IsRationalMatrixGroup)"]},"IsIntegerMatrixGroup" : {"type" : "GAP_Property","implied" : ["IsRationalMatrixGroup","Teste\
+r(IsRationalMatrixGroup)","IsIntegerMatrixGroup","Tester(IsIntegerMatrixGroup)"]},"IsBravaisGroup" : {"type" : "GAP_Property","implie\
+d" : ["IsBravaisGroup","Tester(IsBravaisGroup)"]},"IsWellFoundedOrdering" : {"type" : "GAP_Property","implied" : ["IsWellFoundedOrder\
+ing","Tester(IsWellFoundedOrdering)"]},"IsTotalOrdering" : {"type" : "GAP_Property","implied" : ["IsTotalOrdering","Tester(IsTotalOrd\
+ering)"]},"IsOrderingOnFamilyOfAssocWords" : {"type" : "GAP_Property","implied" : ["IsOrderingOnFamilyOfAssocWords","Tester(IsOrderin\
+gOnFamilyOfAssocWords)"]},"IsTranslationInvariantOrdering" : {"type" : "GAP_Property","implied" : ["IsTranslationInvariantOrdering","\
+Tester(IsTranslationInvariantOrdering)"]},"IsShortLexOrdering" : {"type" : "GAP_Property","implied" : ["IsShortLexOrdering","Tester(I\
+sShortLexOrdering)"]},"IsWeightLexOrdering" : {"type" : "GAP_Property","implied" : ["IsWeightLexOrdering","Tester(IsWeightLexOrdering\
+)"]},"IsBasicWreathProductOrdering" : {"type" : "GAP_Property","implied" : ["IsBasicWreathProductOrdering","Tester(IsBasicWreathProdu\
+ctOrdering)"]},"IsWreathProductOrdering" : {"type" : "GAP_Property","implied" : ["IsWreathProductOrdering","Tester(IsWreathProductOrd\
+ering)"]},"IsFiniteSemigroupGreensRelation" : {"type" : "GAP_Property","implied" : ["IsFiniteSemigroupGreensRelation","Tester(IsFinit\
+eSemigroupGreensRelation)"]},"IsRegularDClass" : {"type" : "GAP_Property","implied" : ["IsRegularDClass","Tester(IsRegularDClass)"]},\
+"IsGroupHClass" : {"type" : "GAP_Property","implied" : ["IsGroupHClass","Tester(IsGroupHClass)"]},"IsFpSemigpReducedElt" : {"type" : \
+"GAP_Property","implied" : ["IsFpSemigpReducedElt","Tester(IsFpSemigpReducedElt)"]},"IsFpMonoidReducedElt" : {"type" : "GAP_Property"\
+,"implied" : ["IsFpMonoidReducedElt","Tester(IsFpMonoidReducedElt)"]},"IsFullTransformationSemigroup" : {"type" : "GAP_Property","imp\
+lied" : ["IsFullTransformationSemigroup","Tester(IsFullTransformationSemigroup)"]},"IsReesMatrixSemigroup" : {"type" : "GAP_Property"\
+,"implied" : ["IsReesMatrixSemigroup","Tester(IsReesMatrixSemigroup)"]},"IsReesZeroMatrixSemigroup" : {"type" : "GAP_Property","impli\
+ed" : ["IsReesZeroMatrixSemigroup","Tester(IsReesZeroMatrixSemigroup)"]},"IsSymmetricInverseSemigroup" : {"type" : "GAP_Property","im\
+plied" : ["IsRegularSemigroup","Tester(IsRegularSemigroup)","IsInverseSemigroup","Tester(IsInverseSemigroup)","IsOrthodoxSemigroup","\
+Tester(IsOrthodoxSemigroup)","IsSymmetricInverseSemigroup","Tester(IsSymmetricInverseSemigroup)"]},"IsAlmostSimpleCharacterTable" : {\
+"type" : "GAP_Property","implied" : ["IsAlmostSimpleCharacterTable","Tester(IsAlmostSimpleCharacterTable)"]},"IsMonomialCharacterTabl\
+e" : {"type" : "GAP_Property","implied" : ["IsMonomialCharacterTable","Tester(IsMonomialCharacterTable)"]},"IsNilpotentCharacterTable\
+" : {"type" : "GAP_Property","implied" : ["IsNilpotentCharacterTable","Tester(IsNilpotentCharacterTable)"]},"IsPerfectCharacterTable"\
+ : {"type" : "GAP_Property","implied" : ["IsPerfectCharacterTable","Tester(IsPerfectCharacterTable)"]},"IsSimpleCharacterTable" : {"t\
+ype" : "GAP_Property","implied" : ["IsSimpleCharacterTable","Tester(IsSimpleCharacterTable)"]},"IsSolvableCharacterTable" : {"type" :\
+ "GAP_Property","implied" : ["IsSolvableCharacterTable","Tester(IsSolvableCharacterTable)"]},"IsSporadicSimpleCharacterTable" : {"typ\
+e" : "GAP_Property","implied" : ["IsSporadicSimpleCharacterTable","Tester(IsSporadicSimpleCharacterTable)"]},"IsSupersolvableCharacte\
+rTable" : {"type" : "GAP_Property","implied" : ["IsSupersolvableCharacterTable","Tester(IsSupersolvableCharacterTable)"]},"IsCharacte\
+r" : {"type" : "GAP_Property","implied" : ["IsCharacter","Tester(IsCharacter)"]},"IsVirtualCharacter" : {"type" : "GAP_Property","imp\
+lied" : ["IsVirtualCharacter","Tester(IsVirtualCharacter)"]},"IsIrreducibleCharacter" : {"type" : "GAP_Property","implied" : ["IsIrre\
+ducibleCharacter","Tester(IsIrreducibleCharacter)"]},"IsBergerCondition" : {"type" : "GAP_Property","implied" : ["IsBergerCondition",\
+"Tester(IsBergerCondition)"]},"IsPrimitiveCharacter" : {"type" : "GAP_Property","implied" : ["IsPrimitiveCharacter","Tester(IsPrimiti\
+veCharacter)"]},"IsQuasiPrimitive" : {"type" : "GAP_Property","implied" : ["IsQuasiPrimitive","Tester(IsQuasiPrimitive)"]},"IsInduced\
+FromNormalSubgroup" : {"type" : "GAP_Property","implied" : ["IsInducedFromNormalSubgroup","Tester(IsInducedFromNormalSubgroup)"]},"Is\
+MonomialCharacter" : {"type" : "GAP_Property","implied" : ["IsMonomialCharacter","Tester(IsMonomialCharacter)"]},"IsMonomialNumber" :\
+ {"type" : "GAP_Property","implied" : ["IsMonomialNumber","Tester(IsMonomialNumber)"]},"IsSubnormallyMonomial" : {"type" : "GAP_Prope\
+rty","implied" : ["IsSubnormallyMonomial","Tester(IsSubnormallyMonomial)"]},"IsRelativelySM" : {"type" : "GAP_Property","implied" : [\
+"IsRelativelySM","Tester(IsRelativelySM)"]},"IsMinimalNonmonomial" : {"type" : "GAP_Property","implied" : ["IsMinimalNonmonomial","Te\
+ster(IsMinimalNonmonomial)"]},"IsAbelianTom" : {"type" : "GAP_Property","implied" : ["IsAbelianTom","Tester(IsAbelianTom)"]},"IsCycli\
+cTom" : {"type" : "GAP_Property","implied" : ["IsCyclicTom","Tester(IsCyclicTom)"]},"IsNilpotentTom" : {"type" : "GAP_Property","impl\
+ied" : ["IsNilpotentTom","Tester(IsNilpotentTom)"]},"IsPerfectTom" : {"type" : "GAP_Property","implied" : ["IsPerfectTom","Tester(IsP\
+erfectTom)"]},"IsSolvableTom" : {"type" : "GAP_Property","implied" : ["IsSolvableTom","Tester(IsSolvableTom)"]},"IsPrimitiveMatrixGro\
+up" : {"type" : "GAP_Property","implied" : ["IsPrimitiveMatrixGroup","Tester(IsPrimitiveMatrixGroup)"]},"IsUnitGroup" : {"type" : "GA\
+P_Property","implied" : ["IsUnitGroup","Tester(IsUnitGroup)"]},"IsUnitGroupIsomorphism" : {"type" : "GAP_Property","implied" : ["IsUn\
+itGroupIsomorphism","Tester(IsUnitGroupIsomorphism)"]},"IsNumberFieldByMatrices" : {"type" : "GAP_Property","implied" : ["IsNumberFie\
+ldByMatrices","Tester(IsNumberFieldByMatrices)"]},"IsMultGroupByFieldElemsIsomorphism" : {"type" : "GAP_Property","implied" : ["IsMul\
+tGroupByFieldElemsIsomorphism","Tester(IsMultGroupByFieldElemsIsomorphism)"]},"IsWeightedCollector" : {"type" : "GAP_Property","impli\
+ed" : ["IsWeightedCollector","Tester(IsWeightedCollector)"]},"IsPolynomialCollector" : {"type" : "GAP_Property","implied" : ["IsPolyn\
+omialCollector","Tester(IsPolynomialCollector)"]},"UseLibraryCollector" : {"type" : "GAP_Property","implied" : ["UseLibraryCollector"\
+,"Tester(UseLibraryCollector)"]},"IsPolycyclicPresentation" : {"type" : "GAP_Property","implied" : ["IsPolycyclicPresentation","Teste\
+r(IsPolycyclicPresentation)"]},"IsHomomorphismIntoMatrixGroup" : {"type" : "GAP_Property","implied" : ["IsHomomorphismIntoMatrixGroup\
+","Tester(IsHomomorphismIntoMatrixGroup)"]},"IsNilpotentByFinite" : {"type" : "GAP_Property","implied" : ["IsNilpotentByFinite","Test\
+er(IsNilpotentByFinite)"]},"IsTorsionFree" : {"type" : "GAP_Property","implied" : ["IsTorsionFree","Tester(IsTorsionFree)"]},"IsFreeA\
+belian" : {"type" : "GAP_Property","implied" : ["IsFreeAbelian","Tester(IsFreeAbelian)"]},"IsGroupClass" : {"type" : "GAP_Property","\
+implied" : ["IsGroupClass","Tester(IsGroupClass)"]},"ContainsTrivialGroup" : {"type" : "GAP_Property","implied" : ["ContainsTrivialGr\
+oup","Tester(ContainsTrivialGroup)"]},"IsSubgroupClosed" : {"type" : "GAP_Property","implied" : ["IsSubgroupClosed","Tester(IsSubgrou\
+pClosed)","IsNormalSubgroupClosed","Tester(IsNormalSubgroupClosed)"]},"IsNormalSubgroupClosed" : {"type" : "GAP_Property","implied" :\
+ ["IsNormalSubgroupClosed","Tester(IsNormalSubgroupClosed)"]},"IsQuotientClosed" : {"type" : "GAP_Property","implied" : ["IsQuotientC\
+losed","Tester(IsQuotientClosed)"]},"IsResiduallyClosed" : {"type" : "GAP_Property","implied" : ["IsResiduallyClosed","Tester(IsResid\
+uallyClosed)","IsDirectProductClosed","Tester(IsDirectProductClosed)"]},"IsNormalProductClosed" : {"type" : "GAP_Property","implied" \
+: ["IsNormalProductClosed","Tester(IsNormalProductClosed)","IsDirectProductClosed","Tester(IsDirectProductClosed)"]},"IsDirectProduct\
+Closed" : {"type" : "GAP_Property","implied" : ["IsDirectProductClosed","Tester(IsDirectProductClosed)"]},"IsSchunckClass" : {"type" \
+: "GAP_Property","implied" : ["ContainsTrivialGroup","Tester(ContainsTrivialGroup)","IsQuotientClosed","Tester(IsQuotientClosed)","Is\
+DirectProductClosed","Tester(IsDirectProductClosed)","IsSchunckClass","Tester(IsSchunckClass)","IsSaturated","Tester(IsSaturated)"]},\
+"IsSaturated" : {"type" : "GAP_Property","implied" : ["IsSaturated","Tester(IsSaturated)"]},"IsPrimitiveSolvableGroup" : {"type" : "G\
+AP_Property","implied" : ["IsPrimitiveSolvableGroup","Tester(IsPrimitiveSolvableGroup)"]},"KnowsSomeGroupInfo" : {"type" : "GAP_Prope\
+rty","implied" : ["KnowsSomeGroupInfo","Tester(KnowsSomeGroupInfo)"]},"IsNontrivialDirectProduct" : {"type" : "GAP_Property","implied\
+" : ["IsNontrivialDirectProduct","Tester(IsNontrivialDirectProduct)"]},"KnowsDeligneLusztigNames" : {"type" : "GAP_Property","implied\
+" : ["KnowsDeligneLusztigNames","Tester(KnowsDeligneLusztigNames)"]},"IsDuplicateTable" : {"type" : "GAP_Property","implied" : ["IsDu\
+plicateTable","Tester(IsDuplicateTable)"]},"IsIrreducibleMatrixGroup" : {"type" : "GAP_Property","implied" : ["IsIrreducibleMatrixGro\
+up","Tester(IsIrreducibleMatrixGroup)"]},"IsAbsolutelyIrreducibleMatrixGroup" : {"type" : "GAP_Property","implied" : ["IsAbsolutelyIr\
+reducibleMatrixGroup","Tester(IsAbsolutelyIrreducibleMatrixGroup)"]},"IsMaximalAbsolutelyIrreducibleSolvableMatrixGroup" : {"type" : \
+"GAP_Property","implied" : ["IsMaximalAbsolutelyIrreducibleSolvableMatrixGroup","Tester(IsMaximalAbsolutelyIrreducibleSolvableMatrixG\
+roup)"]},"IsLieNilpotentOverFp" : {"type" : "GAP_Property","implied" : ["IsLieNilpotentOverFp","Tester(IsLieNilpotentOverFp)"]},"IsLi\
+eCover" : {"type" : "GAP_Property","implied" : ["IsLieCover","Tester(IsLieCover)"]},"IsLieAlgebraWithNB" : {"type" : "GAP_Property","\
+implied" : ["IsLieAlgebraWithNB","Tester(IsLieAlgebraWithNB)"]},"IsNilpotentBasis" : {"type" : "GAP_Property","implied" : ["IsNilpote\
+ntBasis","Tester(IsNilpotentBasis)"]},"IsGroupAlgebra" : {"type" : "GAP_Property","implied" : ["IsGroupAlgebra","Tester(IsGroupAlgebr\
+a)"]},"IsFModularGroupAlgebra" : {"type" : "GAP_Property","implied" : ["IsFModularGroupAlgebra","Tester(IsFModularGroupAlgebra)"]},"I\
+sPModularGroupAlgebra" : {"type" : "GAP_Property","implied" : ["IsPModularGroupAlgebra","Tester(IsPModularGroupAlgebra)"]},"IsGroupOf\
+UnitsOfMagmaRing" : {"type" : "GAP_Property","implied" : ["IsGroupOfUnitsOfMagmaRing","Tester(IsGroupOfUnitsOfMagmaRing)"]},"IsUnitGr\
+oupOfGroupRing" : {"type" : "GAP_Property","implied" : ["IsUnitGroupOfGroupRing","Tester(IsUnitGroupOfGroupRing)"]},"IsNormalizedUnit\
+GroupOfGroupRing" : {"type" : "GAP_Property","implied" : ["IsListOrCollection","IsCollection","CanComputeSize","IsDuplicateFree","Tes\
+ter(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","Cate\
+goryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicative\
+ElementWithInverse)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsMagmaWithInverses","IsAssocia\
+tive","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)","IsSimpleSemigroup","Tester(IsSimpleSemigroup)","IsRegularSemigr\
+oup","Tester(IsRegularSemigroup)","IsInverseSemigroup","Tester(IsInverseSemigroup)","IsCompletelyRegularSemigroup","Tester(IsComplete\
+lyRegularSemigroup)","IsGroupAsSemigroup","Tester(IsGroupAsSemigroup)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsOrthodo\
+xSemigroup","Tester(IsOrthodoxSemigroup)","CanComputeSizeAnySubgroup","IsSolvableGroup","Tester(IsSolvableGroup)","CanEasilyComputePc\
+gs","IsNormalizedUnitGroupOfGroupRing","Tester(IsNormalizedUnitGroupOfGroupRing)"]},"IsLieAlgebraOfGroupRing" : {"type" : "GAP_Proper\
+ty","implied" : ["IsLieAlgebraOfGroupRing","Tester(IsLieAlgebraOfGroupRing)"]},"IsBasisOfLieAlgebraOfGroupRing" : {"type" : "GAP_Prop\
+erty","implied" : ["IsBasisOfLieAlgebraOfGroupRing","Tester(IsBasisOfLieAlgebraOfGroupRing)"]},"IsLieMetabelian" : {"type" : "GAP_Pro\
+perty","implied" : ["IsLieMetabelian","Tester(IsLieMetabelian)"]},"IsLieCentreByMetabelian" : {"type" : "GAP_Property","implied" : ["\
+IsLieCentreByMetabelian","Tester(IsLieCentreByMetabelian)"]},"IsSolvablePolynomial" : {"type" : "GAP_Property","implied" : ["IsSolvab\
+lePolynomial","Tester(IsSolvablePolynomial)"]},"IsSeparablePolynomial" : {"type" : "GAP_Property","implied" : ["IsSeparablePolynomial\
+","Tester(IsSeparablePolynomial)"]},"IsAffineCrystGroupOnRight" : {"type" : "GAP_Property","implied" : ["CanComputeSize","CanEasilyTe\
+stMembership","CanComputeSizeAnySubgroup","IsAffineCrystGroupOnRight","Tester(IsAffineCrystGroupOnRight)","IsAffineCrystGroupOnLeftOr\
+Right","Tester(IsAffineCrystGroupOnLeftOrRight)"]},"IsAffineCrystGroupOnLeft" : {"type" : "GAP_Property","implied" : ["CanComputeSize\
+","CanEasilyTestMembership","CanComputeSizeAnySubgroup","IsAffineCrystGroupOnLeft","Tester(IsAffineCrystGroupOnLeft)","IsAffineCrystG\
+roupOnLeftOrRight","Tester(IsAffineCrystGroupOnLeftOrRight)"]},"IsAffineCrystGroupOnLeftOrRight" : {"type" : "GAP_Property","implied"\
+ : ["CanComputeSize","CanEasilyTestMembership","CanComputeSizeAnySubgroup","IsAffineCrystGroupOnLeftOrRight","Tester(IsAffineCrystGro\
+upOnLeftOrRight)"]},"IsSpaceGroup" : {"type" : "GAP_Property","implied" : ["IsSpaceGroup","Tester(IsSpaceGroup)"]},"IsStandardAffineC\
+rystGroup" : {"type" : "GAP_Property","implied" : ["IsStandardAffineCrystGroup","Tester(IsStandardAffineCrystGroup)"]},"IsSymmorphicS\
+paceGroup" : {"type" : "GAP_Property","implied" : ["IsSymmorphicSpaceGroup","Tester(IsSymmorphicSpaceGroup)"]},"IsPointGroup" : {"typ\
+e" : "GAP_Property","implied" : ["IsPointGroup","Tester(IsPointGroup)"]},"IsPointHomomorphism" : {"type" : "GAP_Property","implied" :\
+ ["IsPointHomomorphism","Tester(IsPointHomomorphism)"]},"IsFromAffineCrystGroupToFpGroup" : {"type" : "GAP_Property","implied" : ["Is\
+FromAffineCrystGroupToFpGroup","Tester(IsFromAffineCrystGroupToFpGroup)"]},"IsFromAffineCrystGroupToPcpGroup" : {"type" : "GAP_Proper\
+ty","implied" : ["IsFromAffineCrystGroupToPcpGroup","Tester(IsFromAffineCrystGroupToPcpGroup)"]},"IsColorGroup" : {"type" : "GAP_Prop\
+erty","implied" : ["IsColorGroup","Tester(IsColorGroup)"]},"IsAlmostCrystallographic" : {"type" : "GAP_Property","implied" : ["IsAlmo\
+stCrystallographic","Tester(IsAlmostCrystallographic)"]},"IsAlmostBieberbachGroup" : {"type" : "GAP_Property","implied" : ["IsAlmostB\
+ieberbachGroup","Tester(IsAlmostBieberbachGroup)"]},"IsIsomorphismByFinitePolycyclicMatrixGroup" : {"type" : "GAP_Property","implied"\
+ : ["IsIsomorphismByFinitePolycyclicMatrixGroup","Tester(IsIsomorphismByFinitePolycyclicMatrixGroup)"]},"IsIsomorphismByPolycyclicMat\
+rixGroup" : {"type" : "GAP_Property","implied" : ["IsIsomorphismByPolycyclicMatrixGroup","Tester(IsIsomorphismByPolycyclicMatrixGroup\
+)"]},"IsTriangularizableMatGroup" : {"type" : "GAP_Property","implied" : ["IsTriangularizableMatGroup","Tester(IsTriangularizableMatG\
+roup)"]},"IsZ_pi" : {"type" : "GAP_Property","implied" : ["IsZ_pi","Tester(IsZ_pi)"]},"IsResidueClass" : {"type" : "GAP_Property","im\
+plied" : ["IsResidueClass","Tester(IsResidueClass)"]},"IsZxZ" : {"type" : "GAP_Property","implied" : ["IsZxZ","Tester(IsZxZ)"]},"IsRe\
+sidueClassWithFixedRepresentative" : {"type" : "GAP_Property","implied" : ["IsResidueClassWithFixedRepresentative","Tester(IsResidueC\
+lassWithFixedRepresentative)"]},"IsOverlappingFree" : {"type" : "GAP_Property","implied" : ["IsOverlappingFree","Tester(IsOverlapping\
+Free)"]},"IsMutable" : {"type" : "GAP_Category","implied" : ["IsMutable","IsCopyable"]},"IsCopyable" : {"type" : "GAP_Category","impl\
+ied" : ["IsCopyable"]},"IsFunction" : {"type" : "GAP_Category","implied" : ["IsFunction"]},"IsOperation" : {"type" : "GAP_Category","\
+implied" : ["IsFunction","IsOperation"]},"IsInt" : {"type" : "GAP_Category","implied" : ["IsInt","IsRat","IsCyc","IsExtAElement","IsN\
+earAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtREle\
+ment","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement\
+","IsAdditivelyCommutativeElement","IsCommutativeElement","IsCyclotomic"]},"IsRat" : {"type" : "GAP_Category","implied" : ["IsRat","I\
+sCyc","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement",\
+"IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZD\
+FRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsCyclotomic"]},"IsCyc" : {"type" : "GAP_Categor\
+y","implied" : ["IsCyc","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","I\
+sAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElement\
+WithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsCyclotomic"]},"Tester(CONDUC\
+TOR)" : {"type" : "GAP_Attribute","implied" : ["Tester(CONDUCTOR)"]},"IsFFE" : {"type" : "GAP_Category","implied" : ["IsFFE","IsExtAE\
+lement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement\
+","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssoci\
+ativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement"]},"IsPerm" : {"type" : "GAP_Category","implied" : ["IsPerm","Is\
+ExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssoc\
+iativeElement","IsFiniteOrderElement"]},"IsTransformation" : {"type" : "GAP_Category","implied" : ["IsTransformation","IsExtLElement"\
+,"IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElemen\
+t"]},"IsPartialPerm" : {"type" : "GAP_Category","implied" : ["IsPartialPerm","IsExtLElement","IsExtRElement","IsMultiplicativeElement\
+","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement"]},"IsBool" : {"type" : "GAP_Category",\
+"implied" : ["IsBool"]},"IsRecord" : {"type" : "GAP_Category","implied" : ["IsRecord"]},"IsList" : {"type" : "GAP_Category","implied"\
+ : ["IsList","IsListOrCollection"]},"IsDenseList" : {"type" : "GAP_Category","implied" : ["IsList","IsDenseList","IsListOrCollection"\
+]},"IsHomogeneousList" : {"type" : "GAP_Category","implied" : ["IsList","IsDenseList","IsHomogeneousList","IsListOrCollection"]},"IsT\
+able" : {"type" : "GAP_Category","implied" : ["IsList","IsDenseList","IsHomogeneousList","IsTable","IsListOrCollection","IsCollection\
+"]},"Tester(LENGTH)" : {"type" : "GAP_Attribute","implied" : ["Tester(LENGTH)"]},"Tester(IS_SSORT_LIST)" : {"type" : "GAP_Tester","im\
+plied" : ["Tester(IS_SSORT_LIST)"]},"Tester(IS_POSS_LIST)" : {"type" : "GAP_Tester","implied" : ["Tester(IS_POSS_LIST)"]},"IsPlistRep\
+" : {"type" : "GAP_Representation","implied" : ["Tester(LENGTH)","IsPlistRep","IsInternalRep"]},"IsBlist" : {"type" : "GAP_Category",\
+"implied" : ["IsList","IsDenseList","IsHomogeneousList","IsBlist","IsListOrCollection"]},"IsBlistRep" : {"type" : "GAP_Representation\
+","implied" : ["IsBlistRep","IsInternalRep"]},"IsRange" : {"type" : "GAP_Category","implied" : ["IsList","IsDenseList","IsHomogeneous\
+List","IsRange","IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","IsNearAdditiveElement","Cat\
+egoryCollections(IsNearAdditiveElement)","IsNearAdditiveElementWithZero","CategoryCollections(IsNearAdditiveElementWithZero)","IsNear\
+AdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiveElement","CategoryCollections(IsAdditi\
+veElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollec\
+tions(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWit\
+hInverse)","CategoryCollections(IsZDFRE)","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsAdditivelyCommutativeEle\
+ment)","CategoryCollections(IsCommutativeElement)","CategoryCollections(IsCyclotomic)","IsGeneratorsOfSemigroup","Tester(IsGenerators\
+OfSemigroup)"]},"IsRangeRep" : {"type" : "GAP_Representation","implied" : ["IsRangeRep","IsInternalRep"]},"IsString" : {"type" : "GAP\
+_Category","implied" : ["IsList","IsDenseList","IsHomogeneousList","IsString","IsListOrCollection"]},"IsStringRep" : {"type" : "GAP_R\
+epresentation","implied" : ["IsStringRep","IsInternalRep"]},"IsWeakPointerObject" : {"type" : "GAP_Category","implied" : ["IsList","I\
+sWeakPointerObject","IsListOrCollection","IsFinite","Tester(IsFinite)","IsSmallList","Tester(IsSmallList)"]},"IsNoImmediateMethodsObj\
+ect" : {"type" : "GAP_Filter","implied" : ["IsNoImmediateMethodsObject"]},"IsInternalRep" : {"type" : "GAP_Representation","implied" \
+: ["IsInternalRep"]},"IsPositionalObjectRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep"]},"IsComponentObje\
+ctRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep"]},"IsDataObjectRep" : {"type" : "GAP_Representation","imp\
+lied" : ["IsDataObjectRep"]},"IsNonAtomicComponentObjectRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","Is\
+NonAtomicComponentObjectRep"]},"IsReadOnlyPositionalObjectRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep",\
+"IsReadOnlyPositionalObjectRep"]},"IsAtomicPositionalObjectRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep"\
+,"IsAtomicPositionalObjectRep"]},"IsAttributeStoringRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttr\
+ibuteStoringRep"]},"IsFamily" : {"type" : "GAP_Category","implied" : ["IsFamily"]},"IsType" : {"type" : "GAP_Category","implied" : ["\
+IsType"]},"IsFamilyOfFamilies" : {"type" : "GAP_Category","implied" : ["IsFamily","IsFamilyOfFamilies"]},"IsFamilyOfTypes" : {"type" \
+: "GAP_Category","implied" : ["IsFamily","IsFamilyOfTypes"]},"IsFamilyDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsCo\
+mponentObjectRep","IsFamilyDefaultRep"]},"IsTypeDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","Is\
+TypeDefaultRep"]},"Tester(Name)" : {"type" : "GAP_Attribute","implied" : ["Tester(Name)"]},"Tester(InfoText)" : {"type" : "GAP_Attrib\
+ute","implied" : ["Tester(InfoText)"]},"Tester(String)" : {"type" : "GAP_Attribute","implied" : ["Tester(String)"]},"Tester(IsImpossi\
+ble)" : {"type" : "GAP_Attribute","implied" : ["Tester(IsImpossible)"]},"IsPackedElementDefaultRep" : {"type" : "GAP_Representation",\
+"implied" : ["IsPositionalObjectRep","IsPackedElementDefaultRep"]},"IsToBeDefinedObj" : {"type" : "GAP_Category","implied" : ["IsToBe\
+DefinedObj"]},"IsLVarsBag" : {"type" : "GAP_Category","implied" : ["IsLVarsBag"]},"IsListOrCollection" : {"type" : "GAP_Category","im\
+plied" : ["IsListOrCollection"]},"IsCollection" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection"]},"Tester\
+(CollectionsFamily)" : {"type" : "GAP_Attribute","implied" : ["Tester(CollectionsFamily)"]},"CategoryFamily(IsCollection)" : {"type" \
+: "GAP_Category","implied" : ["IsFamily","CategoryFamily(IsCollection)"]},"Tester(ElementsFamily)" : {"type" : "GAP_Attribute","impli\
+ed" : ["Tester(ElementsFamily)"]},"IsStandardIterator" : {"type" : "GAP_Filter","implied" : ["IsStandardIterator"]},"IsIterator" : {"\
+type" : "GAP_Category","implied" : ["IsIterator"]},"Tester(IsEmpty)" : {"type" : "GAP_Tester","implied" : ["Tester(IsEmpty)"]},"Teste\
+r(IsTrivial)" : {"type" : "GAP_Tester","implied" : ["Tester(IsTrivial)"]},"Tester(IsNonTrivial)" : {"type" : "GAP_Tester","implied" :\
+ ["Tester(IsNonTrivial)"]},"Tester(IsFinite)" : {"type" : "GAP_Tester","implied" : ["Tester(IsFinite)"]},"Tester(IsWholeFamily)" : {"\
+type" : "GAP_Tester","implied" : ["Tester(IsWholeFamily)"]},"Tester(Size)" : {"type" : "GAP_Attribute","implied" : ["Tester(Size)","C\
+anComputeSize"]},"Tester(Representative)" : {"type" : "GAP_Attribute","implied" : ["Tester(Representative)"]},"Tester(RepresentativeS\
+mallest)" : {"type" : "GAP_Attribute","implied" : ["Tester(RepresentativeSmallest)"]},"Tester(PseudoRandomSeed)" : {"type" : "GAP_Att\
+ribute","implied" : ["Tester(PseudoRandomSeed)"]},"Tester(Enumerator)" : {"type" : "GAP_Attribute","implied" : ["Tester(Enumerator)"]\
+},"Tester(EnumeratorSorted)" : {"type" : "GAP_Attribute","implied" : ["Tester(EnumeratorSorted)"]},"Tester(UnderlyingCollection)" : {\
+"type" : "GAP_Attribute","implied" : ["Tester(UnderlyingCollection)"]},"Tester(AsList)" : {"type" : "GAP_Attribute","implied" : ["Tes\
+ter(AsList)"]},"Tester(AsSortedList)" : {"type" : "GAP_Attribute","implied" : ["Tester(AsSortedList)"]},"Tester(AsSSortedList)" : {"t\
+ype" : "GAP_Attribute","implied" : ["Tester(AsSSortedList)"]},"Tester(CanEasilyCompareElements)" : {"type" : "GAP_Tester","implied" :\
+ ["Tester(CanEasilyCompareElements)"]},"Tester(CanEasilySortElements)" : {"type" : "GAP_Tester","implied" : ["Tester(CanEasilySortEle\
+ments)"]},"CanComputeSize" : {"type" : "GAP_Filter","implied" : ["CanComputeSize"]},"Tester(RandomizerAttr)" : {"type" : "GAP_Attribu\
+te","implied" : ["Tester(RandomizerAttr)"]},"Tester(CheapRandomizerAttr)" : {"type" : "GAP_Attribute","implied" : ["Tester(CheapRando\
+mizerAttr)"]},"IsConstantTimeAccessList" : {"type" : "GAP_Category","implied" : ["IsList","IsListOrCollection","IsConstantTimeAccessL\
+ist"]},"Tester(IsSmallList)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSmallList)"]},"Tester(ConstantTimeAccessList)" : {"type"\
+ : "GAP_Attribute","implied" : ["Tester(ConstantTimeAccessList)"]},"Tester(IsSortedList)" : {"type" : "GAP_Tester","implied" : ["Test\
+er(IsSortedList)"]},"Tester(IsDuplicateFree)" : {"type" : "GAP_Tester","implied" : ["Tester(IsDuplicateFree)"]},"IsQuickPositionList"\
+ : {"type" : "GAP_Filter","implied" : ["IsQuickPositionList"]},"Tester(AsDuplicateFreeList)" : {"type" : "GAP_Attribute","implied" : \
+["Tester(AsDuplicateFreeList)"]},"Tester(SortingPerm)" : {"type" : "GAP_Attribute","implied" : ["Tester(SortingPerm)"]},"IsExtAElemen\
+t" : {"type" : "GAP_Category","implied" : ["IsExtAElement"]},"CategoryCollections(IsExtAElement)" : {"type" : "GAP_Category","implied\
+" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)"]},"CategoryCollections(CategoryCollecti\
+ons(IsExtAElement))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","CategoryCollections(CategoryCollect\
+ions(IsExtAElement))"]},"IsNearAdditiveElement" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement"]},"Ca\
+tegoryCollections(IsNearAdditiveElement)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement"\
+,"CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)"]},"CategoryCollections(CategoryCollections(IsNearA\
+dditiveElement))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(Is\
+ExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElemen\
+t))"]},"CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))" : {"type" : "GAP_Category","implied" : \
+["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(Is\
+ExtAElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))"]},"IsNearAdditiveElementWithZer\
+o" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero"]},"CategoryCollect\
+ions(IsNearAdditiveElementWithZero)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","Cat\
+egoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)"]},\
+"CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection\
+","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","Cate\
+goryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))\
+"]},"CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))" : {"type" : "GAP_Category","implie\
+d" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollectio\
+ns(IsExtAElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","CategoryCollections(Categ\
+oryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))"]},"IsNearAdditiveElementWithInverse" : {"type" : "GAP_Category",\
+"implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse"]},"CategoryCo\
+llections(IsNearAdditiveElementWithInverse)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAEleme\
+nt","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZ\
+ero)","CategoryCollections(IsNearAdditiveElementWithInverse)"]},"CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInv\
+erse))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElemen\
+t)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","Cate\
+goryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWi\
+thInverse))"]},"CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))" : {"type" : "GAP_Cat\
+egory","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(Cat\
+egoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","CategoryCol\
+lections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))","CategoryCollections(CategoryCollections(CategoryC\
+ollections(IsNearAdditiveElementWithInverse)))"]},"IsAdditiveElement" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNear\
+AdditiveElement","IsAdditiveElement"]},"CategoryCollections(IsAdditiveElement)" : {"type" : "GAP_Category","implied" : ["IsListOrColl\
+ection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCol\
+lections(IsAdditiveElement)"]},"CategoryCollections(CategoryCollections(IsAdditiveElement))" : {"type" : "GAP_Category","implied" : [\
+"IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsE\
+xtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsAdditiveEl\
+ement))"]},"CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))" : {"type" : "GAP_Category","implied" : \
+["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(Is\
+ExtAElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","CategoryCollections(CategoryCo\
+llections(CategoryCollections(IsAdditiveElement)))"]},"IsExtLElement" : {"type" : "GAP_Category","implied" : ["IsExtLElement"]},"Cate\
+goryCollections(IsExtLElement)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","Category\
+Collections(IsExtLElement)"]},"CategoryCollections(CategoryCollections(IsExtLElement))" : {"type" : "GAP_Category","implied" : ["IsLi\
+stOrCollection","IsCollection","CategoryCollections(CategoryCollections(IsExtLElement))"]},"IsExtRElement" : {"type" : "GAP_Category"\
+,"implied" : ["IsExtRElement"]},"CategoryCollections(IsExtRElement)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","Is\
+Collection","IsExtRElement","CategoryCollections(IsExtRElement)"]},"CategoryCollections(CategoryCollections(IsExtRElement))" : {"type\
+" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","CategoryCollections(CategoryCollections(IsExtRElement))"]},"IsMu\
+ltiplicativeElement" : {"type" : "GAP_Category","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement"]},"CategoryCol\
+lections(IsMultiplicativeElement)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","Categ\
+oryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)"]},\
+"CategoryCollections(CategoryCollections(IsMultiplicativeElement))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsC\
+ollection","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElem\
+ent","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryColl\
+ections(IsMultiplicativeElement))"]},"CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))" : {"typ\
+e" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCo\
+llections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryColl\
+ections(IsExtRElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))"]},"IsMultiplicative\
+ElementWithOne" : {"type" : "GAP_Category","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeEl\
+ementWithOne"]},"CategoryCollections(IsMultiplicativeElementWithOne)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","I\
+sCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryColle\
+ctions(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)"]},"CategoryCollections(CategoryCollections(IsM\
+ultiplicativeElementWithOne))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryC\
+ollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtREleme\
+nt)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","C\
+ategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))"]},"CategoryCollections(CategoryCollections(CategoryCollectio\
+ns(IsMultiplicativeElementWithOne)))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","Ca\
+tegoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsEx\
+tRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(CategoryCollections(Is\
+MultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))"]},"IsMultip\
+licativeElementWithInverse" : {"type" : "GAP_Category","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMult\
+iplicativeElementWithOne","IsMultiplicativeElementWithInverse"]},"CategoryCollections(IsMultiplicativeElementWithInverse)" : {"type" \
+: "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement\
+","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWit\
+hOne)","CategoryCollections(IsMultiplicativeElementWithInverse)"]},"CategoryCollections(CategoryCollections(IsMultiplicativeElementWi\
+thInverse))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLE\
+lement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryColl\
+ections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections\
+(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"\
+]},"CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))" : {"type" : "GAP_Category","im\
+plied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryColle\
+ctions(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))\
+","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(C\
+ategoryCollections(IsMultiplicativeElementWithOne)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeEl\
+ementWithInverse)))"]},"IsOddAdditiveNestingDepthFamily" : {"type" : "GAP_Filter","implied" : ["IsOddAdditiveNestingDepthFamily"]},"I\
+sOddAdditiveNestingDepthObject" : {"type" : "GAP_Filter","implied" : ["IsOddAdditiveNestingDepthObject"]},"IsGeneralizedRowVector" : \
+{"type" : "GAP_Category","implied" : ["IsList","IsListOrCollection","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWit\
+hZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsGeneralizedRowVector"]},"IsMultiplicativeGeneralizedRowVector" : {"t\
+ype" : "GAP_Category","implied" : ["IsList","IsListOrCollection","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZe\
+ro","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsGeneralizedRowVector","IsMultiplicativeGeneralizedRowVector"]},"Tester(\
+NestingDepthA)" : {"type" : "GAP_Attribute","implied" : ["Tester(NestingDepthA)"]},"Tester(NestingDepthM)" : {"type" : "GAP_Attribute\
+","implied" : ["Tester(NestingDepthM)"]},"CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))" : {"type" :\
+ "GAP_Category","implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))"]},"CategoryF\
+amily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))" : {"type" : "GAP_Category","implied" :\
+ ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElement\
+WithInverse and IsAdditiveElement) and IsMultiplicativeElement))"]},"IsZDFRE" : {"type" : "GAP_Category","implied" : ["IsExtAElement"\
+,"IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsEx\
+tRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE"]},"CategoryColle\
+ctions(IsZDFRE)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsE\
+xtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(I\
+sNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsEx\
+tRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeE\
+lementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsZDFRE)"]},"CategoryCollections(Categ\
+oryCollections(IsZDFRE))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollec\
+tions(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditi\
+veElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNea\
+rAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsE\
+xtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","Category\
+Collections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollect\
+ions(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInvers\
+e))","CategoryCollections(CategoryCollections(IsZDFRE))"]},"CategoryCollections((((CategoryCollections(CategoryCollections(IsNearAddi\
+tiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElement))) and IsTable) and (CategoryCollections(Categ\
+oryCollections(IsMultiplicativeElement)) and IsTable)))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection",\
+"IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(I\
+sNearAdditiveElement)","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(Cat\
+egoryCollections(IsNearAdditiveElement)))","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(CategoryCollecti\
+ons(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))","\
+CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","\
+CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(IsAdditiveEleme\
+nt)","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdd\
+itiveElement)))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsEx\
+tRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(IsMult\
+iplicativeElement)","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections((((\
+CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAdditiveElem\
+ent))) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElement)) and IsTable)))"]},"IsOrdinaryMatrix" : {"t\
+ype" : "GAP_Category","implied" : ["IsList","IsDenseList","IsHomogeneousList","IsTable","IsListOrCollection","IsCollection","IsExtAEl\
+ement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","IsNearAdditiveElement","Catego\
+ryCollections(IsNearAdditiveElement)","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","IsNearAdditiveElementWithZer\
+o","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","Is\
+NearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(CategoryCollections(IsNe\
+arAdditiveElementWithInverse))","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","CategoryCollections(CategoryCollections\
+(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))",\
+"IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","IsMultiplicativeEleme\
+nt","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsGeneralizedRowVector","IsMultiplicativeGeneralizedRowVecto\
+r","IsOrdinaryMatrix"]},"CategoryCollections(IsOrdinaryMatrix)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsColle\
+ction","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollec\
+tions(IsNearAdditiveElement)","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollecti\
+ons(CategoryCollections(IsNearAdditiveElement)))","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(CategoryC\
+ollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZer\
+o)))","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInver\
+se))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(IsAdditi\
+veElement)","CategoryCollections(CategoryCollections(IsAdditiveElement))","CategoryCollections(CategoryCollections(CategoryCollection\
+s(IsAdditiveElement)))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))\
+","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections\
+(IsMultiplicativeElement)","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollecti\
+ons((((CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)) and CategoryCollections(CategoryCollections(IsAddit\
+iveElement))) and IsTable) and (CategoryCollections(CategoryCollections(IsMultiplicativeElement)) and IsTable)))","CategoryCollection\
+s(IsOrdinaryMatrix)"]},"IsLieMatrix" : {"type" : "GAP_Category","implied" : ["IsList","IsDenseList","IsHomogeneousList","IsTable","Is\
+ListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtA\
+Element))","IsNearAdditiveElement","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(CategoryCollections(IsNearAdditi\
+veElement))","IsNearAdditiveElementWithZero","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(CategoryCollec\
+tions(IsNearAdditiveElementWithZero))","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","Ca\
+tegoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","IsAdditiveElement","CategoryCollections(IsAdditiveElement)\
+","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollect\
+ions(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollectio\
+ns(IsExtRElement))","IsMultiplicativeElement","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsGeneralizedRowVe\
+ctor","IsLieMatrix"]},"IsAssociativeElement" : {"type" : "GAP_Category","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativ\
+eElement","IsAssociativeElement"]},"CategoryCollections(IsAssociativeElement)" : {"type" : "GAP_Category","implied" : ["IsListOrColle\
+ction","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","Cate\
+goryCollections(IsMultiplicativeElement)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsO\
+fSemigroup)"]},"CategoryCollections(CategoryCollections(IsAssociativeElement))" : {"type" : "GAP_Category","implied" : ["IsListOrColl\
+ection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))"\
+,"IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(\
+CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsAssociativeElement))","IsGeneratorsOfSemigr\
+oup","Tester(IsGeneratorsOfSemigroup)"]},"IsAdditivelyCommutativeElement" : {"type" : "GAP_Category","implied" : ["IsExtAElement","Is\
+NearAdditiveElement","IsAdditiveElement","IsAdditivelyCommutativeElement"]},"CategoryCollections(IsAdditivelyCommutativeElement)" : {\
+"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","Catego\
+ryCollections(IsNearAdditiveElement)","CategoryCollections(IsAdditiveElement)","CategoryCollections(IsAdditivelyCommutativeElement)"]\
+},"CategoryCollections(CategoryCollections(IsAdditivelyCommutativeElement))" : {"type" : "GAP_Category","implied" : ["IsListOrCollect\
+ion","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","C\
+ategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsAdditiveElement))","Catego\
+ryCollections(CategoryCollections(IsAdditivelyCommutativeElement))"]},"CategoryFamily(IsAdditivelyCommutativeElement)" : {"type" : "G\
+AP_Category","implied" : ["IsFamily","CategoryFamily(IsAdditivelyCommutativeElement)"]},"IsCommutativeElement" : {"type" : "GAP_Categ\
+ory","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsCommutativeElement"]},"CategoryCollections(IsCommutati\
+veElement)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLEl\
+ement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsCo\
+mmutativeElement)"]},"CategoryCollections(CategoryCollections(IsCommutativeElement))" : {"type" : "GAP_Category","implied" : ["IsList\
+OrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElem\
+ent))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollec\
+tions(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsCommutativeElement))"]},"IsFiniteOrde\
+rElement" : {"type" : "GAP_Category","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementW\
+ithOne","IsMultiplicativeElementWithInverse","IsFiniteOrderElement"]},"CategoryCollections(IsFiniteOrderElement)" : {"type" : "GAP_Ca\
+tegory","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","Catego\
+ryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","C\
+ategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsFiniteOrderElement)"]},"CategoryCollections(CategoryCo\
+llections(IsFiniteOrderElement))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","Catego\
+ryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtREl\
+ement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))"\
+,"CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicative\
+ElementWithInverse))","CategoryCollections(CategoryCollections(IsFiniteOrderElement))"]},"IsJacobianElement" : {"type" : "GAP_Categor\
+y","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiv\
+eElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsJacobianElement"]},"CategoryCollections(IsJacobianElement)" : \
+{"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","Categ\
+oryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElemen\
+tWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","Categor\
+yCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsJacobianElement)"]},"CategoryColle\
+ctions(CategoryCollections(IsJacobianElement))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAEl\
+ement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCo\
+llections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(Cat\
+egoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","C\
+ategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsE\
+xtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeEleme\
+nt))","CategoryCollections(CategoryCollections(IsJacobianElement))"]},"IsRestrictedJacobianElement" : {"type" : "GAP_Category","impli\
+ed" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement"\
+,"IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsJacobianElement","IsRestrictedJacobianElement"]},"CategoryCollections(I\
+sRestrictedJacobianElement)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCol\
+lections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryC\
+ollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLEle\
+ment)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsJac\
+obianElement)","CategoryCollections(IsRestrictedJacobianElement)"]},"CategoryCollections(CategoryCollections(IsRestrictedJacobianElem\
+ent))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement\
+)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","Categ\
+oryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWit\
+hInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","Categ\
+oryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(Categor\
+yCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollec\
+tions(IsJacobianElement))","CategoryCollections(CategoryCollections(IsRestrictedJacobianElement))"]},"IsZeroSquaredElement" : {"type"\
+ : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInve\
+rse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsZeroSquaredElement"]},"CategoryCollections(IsZe\
+roSquaredElement)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(I\
+sExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections\
+(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","Is\
+ExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsZeroSquaredEl\
+ement)"]},"CategoryCollections(CategoryCollections(IsZeroSquaredElement))" : {"type" : "GAP_Category","implied" : ["IsListOrCollectio\
+n","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","Cat\
+egoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)\
+)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveEl\
+ement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElemen\
+t","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollec\
+tions(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsZeroSquaredElement))"]},"Tester(IsZero)" : {"type" : "GAP\
+_Tester","implied" : ["Tester(IsZero)"]},"Tester(IsOne)" : {"type" : "GAP_Tester","implied" : ["Tester(IsOne)"]},"Tester(ZeroImmutabl\
+e)" : {"type" : "GAP_Attribute","implied" : ["Tester(ZeroImmutable)"]},"Tester(AdditiveInverseImmutable)" : {"type" : "GAP_Attribute"\
+,"implied" : ["Tester(AdditiveInverseImmutable)"]},"Tester(OneImmutable)" : {"type" : "GAP_Attribute","implied" : ["Tester(OneImmutab\
+le)"]},"Tester(InverseImmutable)" : {"type" : "GAP_Attribute","implied" : ["Tester(InverseImmutable)"]},"Tester(Int)" : {"type" : "GA\
+P_Attribute","implied" : ["Tester(Int)"]},"Tester(Rat)" : {"type" : "GAP_Attribute","implied" : ["Tester(Rat)"]},"Tester(Characterist\
+ic)" : {"type" : "GAP_Attribute","implied" : ["Tester(Characteristic)"]},"Tester(Order)" : {"type" : "GAP_Attribute","implied" : ["Te\
+ster(Order)"]},"Tester(NormedRowVector)" : {"type" : "GAP_Attribute","implied" : ["Tester(NormedRowVector)"]},"Tester(IsCommutativeFa\
+mily)" : {"type" : "GAP_Tester","implied" : ["Tester(IsCommutativeFamily)"]},"Tester(IsSkewFieldFamily)" : {"type" : "GAP_Tester","im\
+plied" : ["Tester(IsSkewFieldFamily)"]},"Tester(IsUFDFamily)" : {"type" : "GAP_Tester","implied" : ["Tester(IsUFDFamily)"]},"IsAdditi\
+veElementAsMultiplicativeElementRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsExtLElement","IsExtREle\
+ment","IsMultiplicativeElement","IsAdditiveElementAsMultiplicativeElementRep"]},"Tester(AdditiveElementsAsMultiplicativeElementsFamil\
+y)" : {"type" : "GAP_Attribute","implied" : ["Tester(AdditiveElementsAsMultiplicativeElementsFamily)"]},"Tester(AdditiveElementAsMult\
+iplicativeElement)" : {"type" : "GAP_Attribute","implied" : ["Tester(AdditiveElementAsMultiplicativeElement)"]},"Tester(IsIdempotent)\
+" : {"type" : "GAP_Tester","implied" : ["Tester(IsIdempotent)"]},"CategoryCollections(IsFFE)" : {"type" : "GAP_Category","implied" : \
+["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)\
+","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(I\
+sAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","Categor\
+yCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeEle\
+mentWithInverse)","CategoryCollections(IsZDFRE)","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsAdditivelyCommuta\
+tiveElement)","CategoryCollections(IsCommutativeElement)","CategoryCollections(IsFFE)","IsGeneratorsOfSemigroup","Tester(IsGenerators\
+OfSemigroup)"]},"CategoryCollections(CategoryCollections(IsFFE))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCol\
+lection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryColl\
+ections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","Categ\
+oryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))",\
+"IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","Categ\
+oryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsM\
+ultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryColle\
+ctions(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsZDFRE))","CategoryCollections(CategoryCollect\
+ions(IsAssociativeElement))","CategoryCollections(CategoryCollections(IsAdditivelyCommutativeElement))","CategoryCollections(Category\
+Collections(IsCommutativeElement))","CategoryCollections(CategoryCollections(IsFFE))","IsGeneratorsOfSemigroup","Tester(IsGeneratorsO\
+fSemigroup)"]},"CategoryCollections(CategoryCollections(CategoryCollections(IsFFE)))" : {"type" : "GAP_Category","implied" : ["IsList\
+OrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElem\
+ent))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","CategoryCollections(CategoryCollection\
+s(CategoryCollections(IsNearAdditiveElementWithZero)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveEl\
+ementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","IsExtLElement","CategoryColl\
+ections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)\
+","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplica\
+tiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))","CategoryCollections(\
+CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryColle\
+ctions(IsFFE)))"]},"IsLexOrderedFFE" : {"type" : "GAP_Category","implied" : ["IsFFE","IsExtAElement","IsNearAdditiveElement","IsNearA\
+dditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeEleme\
+nt","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeEl\
+ement","IsCommutativeElement","IsLexOrderedFFE"]},"IsLogOrderedFFE" : {"type" : "GAP_Category","implied" : ["IsFFE","IsExtAElement","\
+IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtR\
+Element","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElem\
+ent","IsAdditivelyCommutativeElement","IsCommutativeElement","IsLogOrderedFFE"]},"CategoryFamily(IsFFE)" : {"type" : "GAP_Category","\
+implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAddit\
+iveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsAdditivelyCommutativeElement)","Categor\
+yFamily(IsFFE)"]},"Tester(DegreeFFE)" : {"type" : "GAP_Attribute","implied" : ["Tester(DegreeFFE)"]},"Tester(IntFFE)" : {"type" : "GA\
+P_Attribute","implied" : ["Tester(IntFFE)"]},"Tester(IntFFESymm)" : {"type" : "GAP_Attribute","implied" : ["Tester(IntFFESymm)"]},"Te\
+ster(AsInternalFFE)" : {"type" : "GAP_Attribute","implied" : ["Tester(AsInternalFFE)"]},"IsGeneralizedDomain" : {"type" : "GAP_Catego\
+ry","implied" : ["IsGeneralizedDomain"]},"Tester(GeneratorsOfDomain)" : {"type" : "GAP_Attribute","implied" : ["Tester(GeneratorsOfDo\
+main)"]},"Tester(ParentAttr)" : {"type" : "GAP_Attribute","implied" : ["Tester(ParentAttr)"]},"IsChar" : {"type" : "GAP_Category","im\
+plied" : ["IsChar"]},"CategoryCollections(IsChar)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","Categ\
+oryCollections(IsChar)"]},"IsCyclotomic" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAddit\
+iveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement",\
+"IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElemen\
+t","IsCommutativeElement","IsCyclotomic"]},"CategoryCollections(IsCyclotomic)" : {"type" : "GAP_Category","implied" : ["IsListOrColle\
+ction","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryColl\
+ections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElemen\
+t)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(Is\
+MultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse\
+)","CategoryCollections(IsZDFRE)","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsAdditivelyCommutativeElement)","\
+CategoryCollections(IsCommutativeElement)","CategoryCollections(IsCyclotomic)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigr\
+oup)"]},"CategoryCollections(CategoryCollections(IsCyclotomic))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsColl\
+ection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryColle\
+ctions(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","Catego\
+ryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","\
+IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","Catego\
+ryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMu\
+ltiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollec\
+tions(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsZDFRE))","CategoryCollections(CategoryCollecti\
+ons(IsAssociativeElement))","CategoryCollections(CategoryCollections(IsAdditivelyCommutativeElement))","CategoryCollections(CategoryC\
+ollections(IsCommutativeElement))","CategoryCollections(CategoryCollections(IsCyclotomic))","IsGeneratorsOfSemigroup","Tester(IsGener\
+atorsOfSemigroup)"]},"CategoryCollections(CategoryCollections(CategoryCollections(IsCyclotomic)))" : {"type" : "GAP_Category","implie\
+d" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollectio\
+ns(IsExtAElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","CategoryCollections(Categ\
+oryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))","CategoryCollections(CategoryCollections(CategoryCollections(IsN\
+earAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","IsExtLElement",\
+"CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(I\
+sExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(CategoryCollections\
+(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))","Categor\
+yCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))","CategoryCollections(CategoryCollections(\
+CategoryCollections(IsCyclotomic)))"]},"IsPosRat" : {"type" : "GAP_Category","implied" : ["IsRat","IsCyc","IsExtAElement","IsNearAddi\
+tiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","\
+IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAd\
+ditivelyCommutativeElement","IsCommutativeElement","IsCyclotomic","IsPosRat"]},"IsNegRat" : {"type" : "GAP_Category","implied" : ["Is\
+Rat","IsCyc","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveEl\
+ement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse\
+","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsCyclotomic","IsNegRat"]},"IsZeroCyc" : \
+{"type" : "GAP_Category","implied" : ["IsInt","IsRat","IsCyc","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero"\
+,"IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeEl\
+ementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeEl\
+ement","IsZero","Tester(IsZero)","IsCyclotomic","IsZeroCyc"]},"IsSmallIntRep" : {"type" : "GAP_Representation","implied" : ["IsIntern\
+alRep","IsSmallIntRep"]},"IsInfinity" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditive\
+ElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","Is\
+MultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement",\
+"IsCommutativeElement","IsCyclotomic","IsInfinity"]},"IsNegInfinity" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearA\
+dditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement\
+","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","I\
+sAdditivelyCommutativeElement","IsCommutativeElement","IsCyclotomic","IsNegInfinity"]},"Tester(IsIntegralCyclotomic)" : {"type" : "GA\
+P_Tester","implied" : ["Tester(IsIntegralCyclotomic)"]},"CategoryCollections(IsRecord)" : {"type" : "GAP_Category","implied" : ["IsLi\
+stOrCollection","IsCollection","CategoryCollections(IsRecord)"]},"CategoryCollections(CategoryCollections(IsRecord))" : {"type" : "GA\
+P_Category","implied" : ["IsListOrCollection","IsCollection","CategoryCollections(CategoryCollections(IsRecord))"]},"Tester(RecNames)\
+" : {"type" : "GAP_Attribute","implied" : ["Tester(RecNames)"]},"IsEnumeratorByFunctionsRep" : {"type" : "GAP_Representation","implie\
+d" : ["IsComponentObjectRep","IsEnumeratorByFunctionsRep"]},"IsIteratorByFunctionsRep" : {"type" : "GAP_Representation","implied" : [\
+"IsComponentObjectRep","IsIteratorByFunctionsRep"]},"IsListDefault" : {"type" : "GAP_Category","implied" : ["IsList","IsListOrCollect\
+ion","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","\
+IsGeneralizedRowVector","IsMultiplicativeGeneralizedRowVector","IsListDefault"]},"Tester(IsRectangularTable)" : {"type" : "GAP_Tester\
+","implied" : ["Tester(IsRectangularTable)"]},"CategoryCollections(IsPerm)" : {"type" : "GAP_Category","implied" : ["IsListOrCollecti\
+on","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","Categor\
+yCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeEle\
+mentWithInverse)","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsFiniteOrderElement)","CategoryCollections(IsPerm\
+)","IsGeneratorsOfMagmaWithInverses","Tester(IsGeneratorsOfMagmaWithInverses)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigr\
+oup)","IsSubsetLocallyFiniteGroup","Tester(IsSubsetLocallyFiniteGroup)"]},"CategoryCollections(CategoryCollections(IsPerm))" : {"type\
+" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCol\
+lections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryColle\
+ctions(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(\
+IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","CategoryCollections\
+(CategoryCollections(IsAssociativeElement))","CategoryCollections(CategoryCollections(IsFiniteOrderElement))","CategoryCollections(Ca\
+tegoryCollections(IsPerm))","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)"]},"Tester(SmallestGeneratorPerm)" : {"type" :\
+ "GAP_Attribute","implied" : ["Tester(SmallestGeneratorPerm)"]},"Tester(SmallestMovedPoint)" : {"type" : "GAP_Attribute","implied" : \
+["Tester(SmallestMovedPoint)"]},"Tester(LargestMovedPoint)" : {"type" : "GAP_Attribute","implied" : ["Tester(LargestMovedPoint)"]},"T\
+ester(NrMovedPoints)" : {"type" : "GAP_Attribute","implied" : ["Tester(NrMovedPoints)"]},"Tester(MovedPoints)" : {"type" : "GAP_Attri\
+bute","implied" : ["Tester(MovedPoints)"]},"Tester(SignPerm)" : {"type" : "GAP_Attribute","implied" : ["Tester(SignPerm)"]},"Tester(C\
+ycleStructurePerm)" : {"type" : "GAP_Attribute","implied" : ["Tester(CycleStructurePerm)"]},"IsPerm2Rep" : {"type" : "GAP_Representat\
+ion","implied" : ["IsInternalRep","IsPerm2Rep"]},"IsPerm4Rep" : {"type" : "GAP_Representation","implied" : ["IsInternalRep","IsPerm4R\
+ep"]},"CategoryCollections(IsTransformation)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElem\
+ent","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeE\
+lement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCol\
+lections(IsAssociativeElement)","CategoryCollections(IsTransformation)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)"]}\
+,"CategoryCollections(CategoryCollections(IsTransformation))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollect\
+ion","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","\
+CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollection\
+s(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(Category\
+Collections(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsAssociativeElement))","CategoryCollectio\
+ns(CategoryCollections(IsTransformation))","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)"]},"IsTrans2Rep" : {"type" : "G\
+AP_Representation","implied" : ["IsInternalRep","IsTrans2Rep"]},"IsTrans4Rep" : {"type" : "GAP_Representation","implied" : ["IsIntern\
+alRep","IsTrans4Rep"]},"CategoryCollections(IsPartialPerm)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollectio\
+n","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsM\
+ultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)\
+","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsPartialPerm)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSe\
+migroup)","IsGeneratorsOfInverseSemigroup","Tester(IsGeneratorsOfInverseSemigroup)"]},"CategoryCollections(CategoryCollections(IsPart\
+ialPerm))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLEle\
+ment)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollec\
+tions(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(C\
+ategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","\
+CategoryCollections(CategoryCollections(IsAssociativeElement))","CategoryCollections(CategoryCollections(IsPartialPerm))","IsGenerato\
+rsOfSemigroup","Tester(IsGeneratorsOfSemigroup)"]},"IsPPerm2Rep" : {"type" : "GAP_Representation","implied" : ["IsInternalRep","IsPPe\
+rm2Rep"]},"IsPPerm4Rep" : {"type" : "GAP_Representation","implied" : ["IsInternalRep","IsPPerm4Rep"]},"IsInfoClass" : {"type" : "GAP_\
+Category","implied" : ["IsInfoClass"]},"CategoryCollections(IsInfoClass)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection\
+","IsCollection","CategoryCollections(IsInfoClass)"]},"IsDirectory" : {"type" : "GAP_Category","implied" : ["IsDirectory"]},"IsInputT\
+extStringRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsInputTextStringRep"]},"IsClosedStream" : {"typ\
+e" : "GAP_Category","implied" : ["IsClosedStream"]},"IsStream" : {"type" : "GAP_Category","implied" : ["IsStream"]},"IsInputStream" :\
+ {"type" : "GAP_Category","implied" : ["IsStream","IsInputStream"]},"IsInputTextStream" : {"type" : "GAP_Category","implied" : ["IsSt\
+ream","IsInputStream","IsInputTextStream"]},"IsInputTextNone" : {"type" : "GAP_Category","implied" : ["IsStream","IsInputStream","IsI\
+nputTextStream","IsInputTextNone"]},"IsOutputStream" : {"type" : "GAP_Category","implied" : ["IsStream","IsOutputStream"]},"IsOutputT\
+extStream" : {"type" : "GAP_Category","implied" : ["IsStream","IsOutputStream","IsOutputTextStream"]},"IsOutputTextNone" : {"type" : \
+"GAP_Category","implied" : ["IsStream","IsOutputStream","IsOutputTextStream","IsOutputTextNone"]},"IsInputOutputStream" : {"type" : "\
+GAP_Category","implied" : ["IsStream","IsInputStream","IsOutputStream","IsInputOutputStream"]},"IsRowVectorObj" : {"type" : "GAP_Cate\
+gory","implied" : ["IsCopyable","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInv\
+erse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsRowVectorObj"]},"IsMatrixObj" : {"type" : "GAP_Category","implied" : ["I\
+sCopyable","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElem\
+ent","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse",\
+"IsMatrixObj"]},"IsRowListMatrix" : {"type" : "GAP_Category","implied" : ["IsCopyable","IsExtAElement","IsNearAdditiveElement","IsNea\
+rAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeEle\
+ment","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsMatrixObj","IsRowListMatrix"]},"IsFlatMatrix" : {"type\
+" : "GAP_Category","implied" : ["IsCopyable","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveE\
+lementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","Is\
+MultiplicativeElementWithInverse","IsMatrixObj","IsFlatMatrix"]},"IsGF2VectorRep" : {"type" : "GAP_Representation","implied" : ["IsCo\
+pyable","IsDataObjectRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse",\
+"IsAdditiveElement","IsExtLElement","IsExtRElement","IsRowVectorObj","IsGF2VectorRep"]},"IsGF2MatrixRep" : {"type" : "GAP_Representat\
+ion","implied" : ["IsCopyable","IsPositionalObjectRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNea\
+rAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWi\
+thOne","IsMultiplicativeElementWithInverse","IsMatrixObj","IsRowListMatrix","IsGF2MatrixRep"]},"Is8BitVectorRep" : {"type" : "GAP_Rep\
+resentation","implied" : ["IsCopyable","IsDataObjectRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsN\
+earAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsRowVectorObj","Is8BitVectorRep"]},"Is8BitMatrix\
+Rep" : {"type" : "GAP_Representation","implied" : ["IsCopyable","IsPositionalObjectRep","IsExtAElement","IsNearAdditiveElement","IsNe\
+arAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeEl\
+ement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsMatrixObj","IsRowListMatrix","Is8BitMatrixRep"]},"IsI\
+nfoClassListRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsInfoClassListRep"]},"IsRandomSource" : {"ty\
+pe" : "GAP_Category","implied" : ["IsComponentObjectRep","IsRandomSource"]},"IsGlobalRandomSource" : {"type" : "GAP_Category","implie\
+d" : ["IsComponentObjectRep","IsRandomSource","IsGlobalRandomSource"]},"IsGAPRandomSource" : {"type" : "GAP_Category","implied" : ["I\
+sComponentObjectRep","IsRandomSource","IsGAPRandomSource"]},"IsMersenneTwister" : {"type" : "GAP_Category","implied" : ["IsComponentO\
+bjectRep","IsRandomSource","IsMersenneTwister"]},"IsFloat" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveEle\
+ment","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMulti\
+plicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsCommutativeElement","IsFloat"]},\
+"IsFloatInterval" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","IsNearAdditiveElement"\
+,"IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplica\
+tiveElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsCommutativeElement","IsFloat","IsFloa\
+tInterval"]},"IsComplexFloat" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementW\
+ithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultipli\
+cativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsCommutativeElement","IsFloat","IsComplexFloat"]},"IsComplexFl\
+oatInterval" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","IsNearAdditiveElement","IsN\
+earAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeE\
+lement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsCommutativeElement","IsFloat","IsFloatInte\
+rval","IsComplexFloat","IsComplexFloatInterval"]},"CategoryFamily(IsFloat)" : {"type" : "GAP_Category","implied" : ["IsFamily","Categ\
+oryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsA\
+dditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsFloat)"]},"CategoryCollections(IsFloat)" : {"type" : "GAP_Category",\
+"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAddi\
+tiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryC\
+ollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElemen\
+t)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMulti\
+plicativeElementWithInverse)","CategoryCollections(IsZDFRE)","CategoryCollections(IsCommutativeElement)","CategoryCollections(IsFloat\
+)"]},"CategoryCollections(CategoryCollections(IsFloat))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection",\
+"IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(C\
+ategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollec\
+tions(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLEl\
+ement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollec\
+tions(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplica\
+tiveElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(Is\
+MultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsZDFRE))","CategoryCollections(CategoryCollections(IsCo\
+mmutativeElement))","CategoryCollections(CategoryCollections(IsFloat))"]},"Tester(Cos)" : {"type" : "GAP_Attribute","implied" : ["Tes\
+ter(Cos)"]},"Tester(Sin)" : {"type" : "GAP_Attribute","implied" : ["Tester(Sin)"]},"Tester(Tan)" : {"type" : "GAP_Attribute","implied\
+" : ["Tester(Tan)"]},"Tester(Sec)" : {"type" : "GAP_Attribute","implied" : ["Tester(Sec)"]},"Tester(Csc)" : {"type" : "GAP_Attribute"\
+,"implied" : ["Tester(Csc)"]},"Tester(Cot)" : {"type" : "GAP_Attribute","implied" : ["Tester(Cot)"]},"Tester(Asin)" : {"type" : "GAP_\
+Attribute","implied" : ["Tester(Asin)"]},"Tester(Acos)" : {"type" : "GAP_Attribute","implied" : ["Tester(Acos)"]},"Tester(Atan)" : {"\
+type" : "GAP_Attribute","implied" : ["Tester(Atan)"]},"Tester(Cosh)" : {"type" : "GAP_Attribute","implied" : ["Tester(Cosh)"]},"Teste\
+r(Sinh)" : {"type" : "GAP_Attribute","implied" : ["Tester(Sinh)"]},"Tester(Tanh)" : {"type" : "GAP_Attribute","implied" : ["Tester(Ta\
+nh)"]},"Tester(Sech)" : {"type" : "GAP_Attribute","implied" : ["Tester(Sech)"]},"Tester(Csch)" : {"type" : "GAP_Attribute","implied" \
+: ["Tester(Csch)"]},"Tester(Coth)" : {"type" : "GAP_Attribute","implied" : ["Tester(Coth)"]},"Tester(Asinh)" : {"type" : "GAP_Attribu\
+te","implied" : ["Tester(Asinh)"]},"Tester(Acosh)" : {"type" : "GAP_Attribute","implied" : ["Tester(Acosh)"]},"Tester(Atanh)" : {"typ\
+e" : "GAP_Attribute","implied" : ["Tester(Atanh)"]},"Tester(Log2)" : {"type" : "GAP_Attribute","implied" : ["Tester(Log2)"]},"Tester(\
+Log10)" : {"type" : "GAP_Attribute","implied" : ["Tester(Log10)"]},"Tester(Log1p)" : {"type" : "GAP_Attribute","implied" : ["Tester(L\
+og1p)"]},"Tester(Exp)" : {"type" : "GAP_Attribute","implied" : ["Tester(Exp)"]},"Tester(Exp2)" : {"type" : "GAP_Attribute","implied" \
+: ["Tester(Exp2)"]},"Tester(Exp10)" : {"type" : "GAP_Attribute","implied" : ["Tester(Exp10)"]},"Tester(Expm1)" : {"type" : "GAP_Attri\
+bute","implied" : ["Tester(Expm1)"]},"Tester(CubeRoot)" : {"type" : "GAP_Attribute","implied" : ["Tester(CubeRoot)"]},"Tester(Square)\
+" : {"type" : "GAP_Attribute","implied" : ["Tester(Square)"]},"Tester(Ceil)" : {"type" : "GAP_Attribute","implied" : ["Tester(Ceil)"]\
+},"Tester(Floor)" : {"type" : "GAP_Attribute","implied" : ["Tester(Floor)"]},"Tester(Round)" : {"type" : "GAP_Attribute","implied" : \
+["Tester(Round)"]},"Tester(Trunc)" : {"type" : "GAP_Attribute","implied" : ["Tester(Trunc)"]},"Tester(FrExp)" : {"type" : "GAP_Attrib\
+ute","implied" : ["Tester(FrExp)"]},"Tester(Argument)" : {"type" : "GAP_Attribute","implied" : ["Tester(Argument)"]},"Tester(Absolute\
+Value)" : {"type" : "GAP_Attribute","implied" : ["Tester(AbsoluteValue)"]},"Tester(Frac)" : {"type" : "GAP_Attribute","implied" : ["T\
+ester(Frac)"]},"Tester(SinCos)" : {"type" : "GAP_Attribute","implied" : ["Tester(SinCos)"]},"Tester(Erf)" : {"type" : "GAP_Attribute"\
+,"implied" : ["Tester(Erf)"]},"Tester(Zeta)" : {"type" : "GAP_Attribute","implied" : ["Tester(Zeta)"]},"Tester(Gamma)" : {"type" : "G\
+AP_Attribute","implied" : ["Tester(Gamma)"]},"Tester(ComplexI)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComplexI)"]},"Tester\
+(PrecisionFloat)" : {"type" : "GAP_Attribute","implied" : ["Tester(PrecisionFloat)"]},"Tester(SignFloat)" : {"type" : "GAP_Attribute"\
+,"implied" : ["Tester(SignFloat)"]},"Tester(Sup)" : {"type" : "GAP_Attribute","implied" : ["Tester(Sup)"]},"Tester(Inf)" : {"type" : \
+"GAP_Attribute","implied" : ["Tester(Inf)"]},"Tester(Mid)" : {"type" : "GAP_Attribute","implied" : ["Tester(Mid)"]},"Tester(AbsoluteD\
+iameter)" : {"type" : "GAP_Attribute","implied" : ["Tester(AbsoluteDiameter)"]},"Tester(RelativeDiameter)" : {"type" : "GAP_Attribute\
+","implied" : ["Tester(RelativeDiameter)"]},"Tester(IsPInfinity)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPInfinity)"]},"Test\
+er(IsNInfinity)" : {"type" : "GAP_Tester","implied" : ["Tester(IsNInfinity)"]},"Tester(IsXInfinity)" : {"type" : "GAP_Tester","implie\
+d" : ["Tester(IsXInfinity)"]},"Tester(IsNaN)" : {"type" : "GAP_Tester","implied" : ["Tester(IsNaN)"]},"IsIEEE754FloatRep" : {"type" :\
+ "GAP_Representation","implied" : ["<<unknown>>","IsInternalRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZe\
+ro","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativ\
+eElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsCommutativeElement","IsFloat","IsIEEE754FloatRep"]},"IsDirectoryRe\
+p" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsDirectoryRep"]},"IsInputTextFileRep" : {"type" : "GAP_Rep\
+resentation","implied" : ["IsPositionalObjectRep","IsInputTextFileRep"]},"IsInputTextNoneRep" : {"type" : "GAP_Representation","impli\
+ed" : ["IsPositionalObjectRep","IsInputTextNoneRep"]},"IsOutputTextStringRep" : {"type" : "GAP_Representation","implied" : ["IsPositi\
+onalObjectRep","IsOutputTextStringRep"]},"IsOutputTextFileRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep",\
+"IsOutputTextFileRep"]},"IsOutputTextNoneRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsOutputTextNone\
+Rep"]},"IsInputOutputStreamByPtyRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsInputOutputStreamByPtyR\
+ep"]},"IsDirectProductElement" : {"type" : "GAP_Category","implied" : ["IsCopyable","IsList","IsDenseList","IsListOrCollection","IsEx\
+tAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElem\
+ent","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsDirectProduct\
+Element"]},"CategoryFamily(IsDirectProductElement)" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily((IsNearAdditiv\
+eElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMu\
+ltiplicativeElement))","CategoryFamily(IsDirectProductElement)"]},"CategoryCollections(IsDirectProductElement)" : {"type" : "GAP_Cate\
+gory","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNe\
+arAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","Cat\
+egoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtR\
+Element)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(I\
+sMultiplicativeElementWithInverse)","CategoryCollections(IsDirectProductElement)"]},"Tester(ComponentsOfDirectProductElementsFamily)"\
+ : {"type" : "GAP_Attribute","implied" : ["Tester(ComponentsOfDirectProductElementsFamily)"]},"IsDefaultDirectProductElementRep" : {"\
+type" : "GAP_Representation","implied" : ["IsCopyable","IsList","IsDenseList","IsPositionalObjectRep","IsListOrCollection","IsExtAEle\
+ment","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement",\
+"IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsDirectProductEleme\
+nt","IsDefaultDirectProductElementRep"]},"Tester(EmptyRowVector)" : {"type" : "GAP_Attribute","implied" : ["Tester(EmptyRowVector)"]}\
+,"IsExtASet" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)",\
+"IsExtAElement","IsNearAdditiveElement","IsAdditiveElement","IsGeneralizedDomain","IsExtASet"]},"IsAssociativeAOpDSum" : {"type" : "G\
+AP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","IsNearAddi\
+tiveElement","IsAdditiveElement","IsGeneralizedDomain","IsExtASet","IsAssociativeAOpDSum"]},"IsAssociativeAOpESum" : {"type" : "GAP_C\
+ategory","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","IsNearAdditive\
+Element","IsAdditiveElement","IsGeneralizedDomain","IsExtASet","IsAssociativeAOpESum"]},"IsTrivialAOpEZero" : {"type" : "GAP_Category\
+","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","IsNearAdditiveElement\
+","IsAdditiveElement","IsGeneralizedDomain","IsExtASet","IsTrivialAOpEZero"]},"Tester(GeneratorsOfExtASet)" : {"type" : "GAP_Attribut\
+e","implied" : ["Tester(GeneratorsOfExtASet)"]},"Tester(AdditivelyActingDomain)" : {"type" : "GAP_Attribute","implied" : ["Tester(Add\
+itivelyActingDomain)"]},"IsExtLSet" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Te\
+ster(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet"]},"IsAssociativeLOpDProd" : {"type" : "GAP_Category","implied" : ["IsListOrC\
+ollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd"]},"Is\
+AssociativeLOpEProd" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicat\
+eFree)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd"]},"IsDistributiveLOpDProd" : {"type" : "GAP_Category","implied" : [\
+"IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsDistributiveLOpD\
+Prod"]},"IsDistributiveLOpDSum" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester\
+(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsDistributiveLOpDSum"]},"IsDistributiveLOpEProd" : {"type" : "GAP_Category","i\
+mplied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsDistr\
+ibutiveLOpEProd"]},"IsDistributiveLOpESum" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFr\
+ee","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsDistributiveLOpESum"]},"IsTrivialLOpEOne" : {"type" : "GAP_Categor\
+y","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","Is\
+TrivialLOpEOne"]},"IsTrivialLOpEZero" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","\
+Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsTrivialLOpEZero"]},"IsLeftActedOnByRing" : {"type" : "GAP_Category","im\
+plied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsLeftAc\
+tedOnByRing"]},"Tester(IsLeftActedOnByDivisionRing)" : {"type" : "GAP_Tester","implied" : ["Tester(IsLeftActedOnByDivisionRing)"]},"I\
+sLeftActedOnBySuperset" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDupli\
+cateFree)","IsGeneralizedDomain","IsExtLSet","IsLeftActedOnBySuperset"]},"Tester(GeneratorsOfExtLSet)" : {"type" : "GAP_Attribute","i\
+mplied" : ["Tester(GeneratorsOfExtLSet)"]},"Tester(LeftActingDomain)" : {"type" : "GAP_Attribute","implied" : ["Tester(LeftActingDoma\
+in)"]},"IsExtRSet" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateF\
+ree)","IsGeneralizedDomain","IsExtRSet"]},"IsAssociativeROpDProd" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCol\
+lection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtRSet","IsAssociativeROpDProd"]},"IsAssociativeROpEPr\
+od" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGenera\
+lizedDomain","IsExtRSet","IsAssociativeROpEProd"]},"IsDistributiveROpDProd" : {"type" : "GAP_Category","implied" : ["IsListOrCollecti\
+on","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtRSet","IsDistributiveROpDProd"]},"IsDistri\
+butiveROpDSum" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)\
+","IsGeneralizedDomain","IsExtRSet","IsDistributiveROpDSum"]},"IsDistributiveROpEProd" : {"type" : "GAP_Category","implied" : ["IsLis\
+tOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtRSet","IsDistributiveROpEProd"]\
+},"IsDistributiveROpESum" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDup\
+licateFree)","IsGeneralizedDomain","IsExtRSet","IsDistributiveROpESum"]},"IsTrivialROpEOne" : {"type" : "GAP_Category","implied" : ["\
+IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtRSet","IsTrivialROpEOne"]}\
+,"IsTrivialROpEZero" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicat\
+eFree)","IsGeneralizedDomain","IsExtRSet","IsTrivialROpEZero"]},"IsRightActedOnByRing" : {"type" : "GAP_Category","implied" : ["IsLis\
+tOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtRSet","IsRightActedOnByRing"]},\
+"IsRightActedOnByDivisionRing" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(\
+IsDuplicateFree)","IsGeneralizedDomain","IsExtRSet","IsRightActedOnByRing","IsRightActedOnByDivisionRing"]},"IsRightActedOnBySuperset\
+" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGenerali\
+zedDomain","IsExtRSet","IsRightActedOnBySuperset"]},"Tester(GeneratorsOfExtRSet)" : {"type" : "GAP_Attribute","implied" : ["Tester(Ge\
+neratorsOfExtRSet)"]},"Tester(RightActingDomain)" : {"type" : "GAP_Attribute","implied" : ["Tester(RightActingDomain)"]},"IsExtUSet" \
+: {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralize\
+dDomain","IsExtUSet"]},"IsAssociativeUOpDProd" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplica\
+teFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtUSet","IsAssociativeUOpDProd"]},"IsAssociativeUOpEProd" : {"type" : "GA\
+P_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExt\
+USet","IsAssociativeUOpEProd"]},"IsDistributiveUOpDProd" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection",\
+"IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtUSet","IsDistributiveUOpDProd"]},"IsDistributiveUOpDSum" : {"\
+type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDom\
+ain","IsExtUSet","IsDistributiveUOpDSum"]},"IsDistributiveUOpEProd" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsC\
+ollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtUSet","IsDistributiveUOpEProd"]},"IsDistributiveUO\
+pESum" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGen\
+eralizedDomain","IsExtUSet","IsDistributiveUOpESum"]},"IsTrivialUOpEOne" : {"type" : "GAP_Category","implied" : ["IsListOrCollection"\
+,"IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtUSet","IsTrivialUOpEOne"]},"IsTrivialUOpEZero\
+" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGenerali\
+zedDomain","IsExtUSet","IsTrivialUOpEZero"]},"IsUpperActedOnByGroup" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","Is\
+Collection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtUSet","IsUpperActedOnByGroup"]},"IsUpperActedOnBy\
+Superset" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","Is\
+GeneralizedDomain","IsExtUSet","IsUpperActedOnBySuperset"]},"Tester(GeneratorsOfExtUSet)" : {"type" : "GAP_Attribute","implied" : ["T\
+ester(GeneratorsOfExtUSet)"]},"Tester(UpperActingDomain)" : {"type" : "GAP_Attribute","implied" : ["Tester(UpperActingDomain)"]},"IsD\
+ictionary" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDictionary"]},"IsLookupDictionary" : {"type\
+" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDictionary","IsLookupDictionary"]},"IsHash" : {"type" : "GAP_C\
+ategory","implied" : ["IsListOrCollection","IsCollection","IsDictionary","IsLookupDictionary","IsHash"]},"IsDictionaryDefaultRep" : {\
+"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsListOrCollection","IsCollection","IsDictionary","IsDictionaryDef\
+aultRep"]},"IsListDictionary" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsListOrCollection","IsCollection\
+","IsDictionary","IsDictionaryDefaultRep","IsListDictionary"]},"IsListLookupDictionary" : {"type" : "GAP_Representation","implied" : \
+["IsComponentObjectRep","IsListOrCollection","IsCollection","IsDictionary","IsLookupDictionary","IsDictionaryDefaultRep","IsListDicti\
+onary","IsListLookupDictionary"]},"IsSortDictionary" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsListOrCo\
+llection","IsCollection","IsDictionary","IsDictionaryDefaultRep","IsListDictionary","IsSortDictionary"]},"IsSortLookupDictionary" : {\
+"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsListOrCollection","IsCollection","IsDictionary","IsLookupDiction\
+ary","IsDictionaryDefaultRep","IsListDictionary","IsListLookupDictionary","IsSortDictionary","IsSortLookupDictionary"]},"IsPositionDi\
+ctionary" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsListOrCollection","IsCollection","IsDictionary","Is\
+LookupDictionary","IsDictionaryDefaultRep","IsPositionDictionary","IsPositionDictionary"]},"TableHasIntKeyFun" : {"type" : "GAP_Filte\
+r","implied" : ["TableHasIntKeyFun"]},"IsDenseHashRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsListOr\
+Collection","IsCollection","IsDictionary","IsLookupDictionary","IsHash","IsDenseHashRep"]},"IsSparseHashRep" : {"type" : "GAP_Represe\
+ntation","implied" : ["IsComponentObjectRep","IsListOrCollection","IsCollection","IsDictionary","IsLookupDictionary","IsHash","IsSpar\
+seHashRep"]},"IsGeneralMapping" : {"type" : "GAP_Category","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","Is\
+MultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping"]},"IsSPGeneralMapping" :\
+ {"type" : "GAP_Category","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","Is\
+MultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping"]},"IsNonSPGeneralMapping" : {"type" \
+: "GAP_Category","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplic\
+ativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsNonSPGeneralMapping"]},"CategoryCollections(IsGeneralMapping)" \
+: {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsE\
+xtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicative\
+ElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsAssociativeElement)","CategoryColle\
+ctions(IsGeneralMapping)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)"]},"CategoryFamily(IsGeneralMapping)" : {"type" \
+: "GAP_Category","implied" : ["IsFamily","CategoryFamily(IsGeneralMapping)"]},"Tester(FamilyRange)" : {"type" : "GAP_Attribute","impl\
+ied" : ["Tester(FamilyRange)"]},"Tester(FamilySource)" : {"type" : "GAP_Attribute","implied" : ["Tester(FamilySource)"]},"Tester(Fami\
+liesOfGeneralMappingsAndRanges)" : {"type" : "GAP_Attribute","implied" : ["Tester(FamiliesOfGeneralMappingsAndRanges)"]},"Tester(IsCo\
+nstantTimeAccessGeneralMapping)" : {"type" : "GAP_Tester","implied" : ["Tester(IsConstantTimeAccessGeneralMapping)"]},"Tester(IsEndoG\
+eneralMapping)" : {"type" : "GAP_Tester","implied" : ["Tester(IsEndoGeneralMapping)"]},"Tester(IsTotal)" : {"type" : "GAP_Tester","im\
+plied" : ["Tester(IsTotal)"]},"Tester(IsSingleValued)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSingleValued)"]},"Tester(IsInj\
+ective)" : {"type" : "GAP_Tester","implied" : ["Tester(IsInjective)"]},"Tester(IsSurjective)" : {"type" : "GAP_Tester","implied" : ["\
+Tester(IsSurjective)"]},"Tester(Range)" : {"type" : "GAP_Attribute","implied" : ["Tester(Range)"]},"Tester(Source)" : {"type" : "GAP_\
+Attribute","implied" : ["Tester(Source)"]},"Tester(UnderlyingRelation)" : {"type" : "GAP_Attribute","implied" : ["Tester(UnderlyingRe\
+lation)"]},"Tester(UnderlyingGeneralMapping)" : {"type" : "GAP_Attribute","implied" : ["Tester(UnderlyingGeneralMapping)"]},"Tester(I\
+dentityMapping)" : {"type" : "GAP_Attribute","implied" : ["Tester(IdentityMapping)"]},"Tester(InverseGeneralMapping)" : {"type" : "GA\
+P_Attribute","implied" : ["Tester(InverseGeneralMapping)"]},"Tester(ImagesSource)" : {"type" : "GAP_Attribute","implied" : ["Tester(I\
+magesSource)"]},"Tester(PreImagesRange)" : {"type" : "GAP_Attribute","implied" : ["Tester(PreImagesRange)"]},"IsCompositionMappingRep\
+" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMul\
+tiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","\
+IsCompositionMappingRep"]},"IsGeneralRestrictedMappingRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAt\
+tributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElemen\
+tWithInverse","IsAssociativeElement","IsGeneralMapping","IsGeneralRestrictedMappingRep"]},"Tester(MappingGeneratorsImages)" : {"type"\
+ : "GAP_Attribute","implied" : ["Tester(MappingGeneratorsImages)"]},"Tester(RespectsMultiplication)" : {"type" : "GAP_Tester","implie\
+d" : ["Tester(RespectsMultiplication)"]},"Tester(RespectsOne)" : {"type" : "GAP_Tester","implied" : ["Tester(RespectsOne)"]},"Tester(\
+RespectsInverses)" : {"type" : "GAP_Tester","implied" : ["Tester(RespectsInverses)"]},"Tester(KernelOfMultiplicativeGeneralMapping)" \
+: {"type" : "GAP_Attribute","implied" : ["Tester(KernelOfMultiplicativeGeneralMapping)"]},"Tester(CoKernelOfMultiplicativeGeneralMapp\
+ing)" : {"type" : "GAP_Attribute","implied" : ["Tester(CoKernelOfMultiplicativeGeneralMapping)"]},"Tester(RespectsAddition)" : {"type\
+" : "GAP_Tester","implied" : ["Tester(RespectsAddition)"]},"Tester(RespectsZero)" : {"type" : "GAP_Tester","implied" : ["Tester(Respe\
+ctsZero)"]},"Tester(RespectsAdditiveInverses)" : {"type" : "GAP_Tester","implied" : ["Tester(RespectsAdditiveInverses)"]},"Tester(Ker\
+nelOfAdditiveGeneralMapping)" : {"type" : "GAP_Attribute","implied" : ["Tester(KernelOfAdditiveGeneralMapping)"]},"Tester(CoKernelOfA\
+dditiveGeneralMapping)" : {"type" : "GAP_Attribute","implied" : ["Tester(CoKernelOfAdditiveGeneralMapping)"]},"Tester(RespectsScalarM\
+ultiplication)" : {"type" : "GAP_Tester","implied" : ["Tester(RespectsScalarMultiplication)"]},"Tester(IsFieldHomomorphism)" : {"type\
+" : "GAP_Tester","implied" : ["Tester(IsFieldHomomorphism)"]},"Tester(TransformsMultiplicationIntoAddition)" : {"type" : "GAP_Tester"\
+,"implied" : ["Tester(TransformsMultiplicationIntoAddition)"]},"Tester(TranformsOneIntoZero)" : {"type" : "GAP_Tester","implied" : ["\
+Tester(TranformsOneIntoZero)"]},"Tester(TransformsInversesIntoAdditiveInverses)" : {"type" : "GAP_Tester","implied" : ["Tester(Transf\
+ormsInversesIntoAdditiveInverses)"]},"Tester(TransformsAdditionIntoMultiplication)" : {"type" : "GAP_Tester","implied" : ["Tester(Tra\
+nsformsAdditionIntoMultiplication)"]},"Tester(TransformsZeroIntoOne)" : {"type" : "GAP_Tester","implied" : ["Tester(TransformsZeroInt\
+oOne)"]},"Tester(TransformsAdditiveInversesIntoInverses)" : {"type" : "GAP_Tester","implied" : ["Tester(TransformsAdditiveInversesInt\
+oInverses)"]},"Tester(Successors)" : {"type" : "GAP_Attribute","implied" : ["Tester(Successors)"]},"Tester(DegreeOfBinaryRelation)" :\
+ {"type" : "GAP_Attribute","implied" : ["Tester(DegreeOfBinaryRelation)"]},"Tester(IsReflexiveBinaryRelation)" : {"type" : "GAP_Teste\
+r","implied" : ["Tester(IsReflexiveBinaryRelation)"]},"Tester(IsSymmetricBinaryRelation)" : {"type" : "GAP_Tester","implied" : ["Test\
+er(IsSymmetricBinaryRelation)"]},"Tester(IsTransitiveBinaryRelation)" : {"type" : "GAP_Tester","implied" : ["Tester(IsTransitiveBinar\
+yRelation)"]},"Tester(IsAntisymmetricBinaryRelation)" : {"type" : "GAP_Tester","implied" : ["Tester(IsAntisymmetricBinaryRelation)"]}\
+,"Tester(IsPreOrderBinaryRelation)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPreOrderBinaryRelation)"]},"Tester(IsPartialOrder\
+BinaryRelation)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPartialOrderBinaryRelation)"]},"Tester(IsLatticeOrderBinaryRelation)\
+" : {"type" : "GAP_Tester","implied" : ["Tester(IsLatticeOrderBinaryRelation)"]},"Tester(IsEquivalenceRelation)" : {"type" : "GAP_Tes\
+ter","implied" : ["Tester(IsEquivalenceRelation)"]},"Tester(IsHasseDiagram)" : {"type" : "GAP_Tester","implied" : ["Tester(IsHasseDia\
+gram)"]},"Tester(PartialOrderOfHasseDiagram)" : {"type" : "GAP_Attribute","implied" : ["Tester(PartialOrderOfHasseDiagram)"]},"Tester\
+(EquivalenceRelationPartition)" : {"type" : "GAP_Attribute","implied" : ["Tester(EquivalenceRelationPartition)"]},"Tester(GeneratorsO\
+fEquivalenceRelationPartition)" : {"type" : "GAP_Attribute","implied" : ["Tester(GeneratorsOfEquivalenceRelationPartition)"]},"IsEqui\
+valenceClass" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)"\
+,"IsGeneralizedDomain","IsEquivalenceClass"]},"Tester(EquivalenceClassRelation)" : {"type" : "GAP_Attribute","implied" : ["Tester(Equ\
+ivalenceClassRelation)"]},"Tester(EquivalenceClasses)" : {"type" : "GAP_Attribute","implied" : ["Tester(EquivalenceClasses)"]},"IsMag\
+ma" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLEl\
+ement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativ\
+eElement)","IsGeneralizedDomain","IsMagma"]},"IsMagmaWithOne" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollect\
+ion","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollec\
+tions(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","IsGeneral\
+izedDomain","IsMagma","IsMagmaWithOne","Tester(MultiplicativeNeutralElement)"]},"IsMagmaWithInversesIfNonzero" : {"type" : "GAP_Categ\
+ory","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollection\
+s(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollec\
+tions(IsMultiplicativeElementWithOne)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","Tester(Multip\
+licativeNeutralElement)"]},"IsMagmaWithInverses" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDupli\
+cateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRE\
+lement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(Is\
+MultiplicativeElementWithInverse)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsMagmaWithInvers\
+es","Tester(MultiplicativeNeutralElement)"]},"Tester(AsMagma)" : {"type" : "GAP_Attribute","implied" : ["Tester(AsMagma)"]},"Tester(G\
+eneratorsOfMagma)" : {"type" : "GAP_Attribute","implied" : ["Tester(GeneratorsOfMagma)"]},"Tester(GeneratorsOfMagmaWithOne)" : {"type\
+" : "GAP_Attribute","implied" : ["Tester(GeneratorsOfMagmaWithOne)"]},"Tester(GeneratorsOfMagmaWithInverses)" : {"type" : "GAP_Attrib\
+ute","implied" : ["Tester(GeneratorsOfMagmaWithInverses)"]},"Tester(IsGeneratorsOfMagmaWithInverses)" : {"type" : "GAP_Tester","impli\
+ed" : ["Tester(IsGeneratorsOfMagmaWithInverses)"]},"Tester(TrivialSubmagmaWithOne)" : {"type" : "GAP_Attribute","implied" : ["Tester(\
+TrivialSubmagmaWithOne)"]},"Tester(IsAssociative)" : {"type" : "GAP_Tester","implied" : ["Tester(IsAssociative)"]},"Tester(IsCommutat\
+ive)" : {"type" : "GAP_Tester","implied" : ["Tester(IsCommutative)"]},"Tester(MultiplicativeNeutralElement)" : {"type" : "GAP_Attribu\
+te","implied" : ["Tester(MultiplicativeNeutralElement)"]},"Tester(Centre)" : {"type" : "GAP_Attribute","implied" : ["Tester(Centre)"]\
+},"Tester(Idempotents)" : {"type" : "GAP_Attribute","implied" : ["Tester(Idempotents)"]},"Tester(CentralizerInParent)" : {"type" : "G\
+AP_Attribute","implied" : ["Tester(CentralizerInParent)"]},"Tester(MagmaGeneratorsOfFamily)" : {"type" : "GAP_Attribute","implied" : \
+["Tester(MagmaGeneratorsOfFamily)"]},"Tester(GeneratorsOfMagmaIdeal)" : {"type" : "GAP_Attribute","implied" : ["Tester(GeneratorsOfMa\
+gmaIdeal)"]},"IsMultiplicativeElementWithZero" : {"type" : "GAP_Category","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicat\
+iveElement","IsMultiplicativeElementWithZero"]},"CategoryCollections(IsMultiplicativeElementWithZero)" : {"type" : "GAP_Category","im\
+plied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollectio\
+ns(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithZero)"]},"Tester(Mu\
+ltiplicativeZero)" : {"type" : "GAP_Attribute","implied" : ["Tester(MultiplicativeZero)"]},"IsMagmaWithZeroAdjoinedElementRep" : {"ty\
+pe" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicat\
+iveElement","IsMultiplicativeElementWithZero","IsMagmaWithZeroAdjoinedElementRep"]},"IsMagmaWithZeroAdjoined" : {"type" : "GAP_Catego\
+ry","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections\
+(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDo\
+main","IsMagma","IsMagmaWithZeroAdjoined"]},"Tester(InjectionZeroMagma)" : {"type" : "GAP_Attribute","implied" : ["Tester(InjectionZe\
+roMagma)"]},"Tester(MagmaWithZeroAdjoined)" : {"type" : "GAP_Attribute","implied" : ["Tester(MagmaWithZeroAdjoined)"]},"Tester(Underl\
+yingInjectionZeroMagma)" : {"type" : "GAP_Attribute","implied" : ["Tester(UnderlyingInjectionZeroMagma)"]},"IsLeftMagmaCongruence" : \
+{"type" : "GAP_Category","implied" : ["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsReflexiveB\
+inaryRelation","Tester(IsReflexiveBinaryRelation)","IsSymmetricBinaryRelation","Tester(IsSymmetricBinaryRelation)","IsTransitiveBinar\
+yRelation","Tester(IsTransitiveBinaryRelation)","IsPreOrderBinaryRelation","Tester(IsPreOrderBinaryRelation)","IsEquivalenceRelation"\
+,"Tester(IsEquivalenceRelation)","IsLeftMagmaCongruence"]},"Tester(GeneratingPairsOfLeftMagmaCongruence)" : {"type" : "GAP_Attribute"\
+,"implied" : ["Tester(GeneratingPairsOfLeftMagmaCongruence)"]},"Tester(PartialClosureOfCongruence)" : {"type" : "GAP_Attribute","impl\
+ied" : ["Tester(PartialClosureOfCongruence)"]},"IsRightMagmaCongruence" : {"type" : "GAP_Category","implied" : ["IsEndoGeneralMapping\
+","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsReflexiveBinaryRelation","Tester(IsReflexiveBinaryRelation)","IsSymme\
+tricBinaryRelation","Tester(IsSymmetricBinaryRelation)","IsTransitiveBinaryRelation","Tester(IsTransitiveBinaryRelation)","IsPreOrder\
+BinaryRelation","Tester(IsPreOrderBinaryRelation)","IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsRightMagmaCongruence"]}\
+,"Tester(GeneratingPairsOfRightMagmaCongruence)" : {"type" : "GAP_Attribute","implied" : ["Tester(GeneratingPairsOfRightMagmaCongruen\
+ce)"]},"IsMagmaCongruence" : {"type" : "GAP_Category","implied" : ["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","T\
+ester(IsTotal)","RespectsMultiplication","Tester(RespectsMultiplication)","IsReflexiveBinaryRelation","Tester(IsReflexiveBinaryRelati\
+on)","IsSymmetricBinaryRelation","Tester(IsSymmetricBinaryRelation)","IsTransitiveBinaryRelation","Tester(IsTransitiveBinaryRelation)\
+","IsPreOrderBinaryRelation","Tester(IsPreOrderBinaryRelation)","IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsLeftMagmaC\
+ongruence","IsRightMagmaCongruence","IsMagmaCongruence"]},"Tester(GeneratingPairsOfMagmaCongruence)" : {"type" : "GAP_Attribute","imp\
+lied" : ["Tester(GeneratingPairsOfMagmaCongruence)"]},"IsCongruenceClass" : {"type" : "GAP_Category","implied" : ["IsListOrCollection\
+","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsGeneralized\
+Domain","IsEquivalenceClass","IsCongruenceClass"]},"Tester(IsLeftSemigroupCongruence)" : {"type" : "GAP_Tester","implied" : ["Tester(\
+IsLeftSemigroupCongruence)"]},"Tester(IsRightSemigroupCongruence)" : {"type" : "GAP_Tester","implied" : ["Tester(IsRightSemigroupCong\
+ruence)"]},"Tester(IsSemigroupCongruence)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSemigroupCongruence)"]},"Tester(IsReesCong\
+ruence)" : {"type" : "GAP_Tester","implied" : ["Tester(IsReesCongruence)"]},"Tester(AsSemigroup)" : {"type" : "GAP_Attribute","implie\
+d" : ["Tester(AsSemigroup)"]},"Tester(IsGeneratorsOfSemigroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsGeneratorsOfSemigroup\
+)"]},"Tester(CayleyGraphSemigroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(CayleyGraphSemigroup)"]},"Tester(CayleyGraphDual\
+Semigroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(CayleyGraphDualSemigroup)"]},"Tester(IsZeroGroup)" : {"type" : "GAP_Test\
+er","implied" : ["Tester(IsZeroGroup)"]},"Tester(IsSimpleSemigroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSimpleSemigroup)\
+"]},"Tester(IsZeroSimpleSemigroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsZeroSimpleSemigroup)"]},"Tester(ANonReesCongruenc\
+eOfSemigroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(ANonReesCongruenceOfSemigroup)"]},"Tester(IsReesCongruenceSemigroup)"\
+ : {"type" : "GAP_Tester","implied" : ["Tester(IsReesCongruenceSemigroup)"]},"Tester(IsRegularSemigroup)" : {"type" : "GAP_Tester","i\
+mplied" : ["Tester(IsRegularSemigroup)"]},"Tester(IsInverseSemigroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsInverseSemigro\
+up)"]},"Tester(NilpotencyDegree)" : {"type" : "GAP_Attribute","implied" : ["Tester(NilpotencyDegree)"]},"Tester(IsBand)" : {"type" : \
+"GAP_Tester","implied" : ["Tester(IsBand)"]},"Tester(IsBrandtSemigroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsBrandtSemigr\
+oup)"]},"Tester(IsCliffordSemigroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsCliffordSemigroup)"]},"Tester(IsCommutativeSemi\
+group)" : {"type" : "GAP_Tester","implied" : ["Tester(IsCommutativeSemigroup)"]},"Tester(IsCompletelyRegularSemigroup)" : {"type" : "\
+GAP_Tester","implied" : ["Tester(IsCompletelyRegularSemigroup)"]},"Tester(IsCompletelySimpleSemigroup)" : {"type" : "GAP_Tester","imp\
+lied" : ["Tester(IsCompletelySimpleSemigroup)"]},"Tester(IsGroupAsSemigroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsGroupAs\
+Semigroup)"]},"Tester(IsIdempotentGenerated)" : {"type" : "GAP_Tester","implied" : ["Tester(IsIdempotentGenerated)"]},"Tester(IsLeftZ\
+eroSemigroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsLeftZeroSemigroup)"]},"Tester(IsMonogenicSemigroup)" : {"type" : "GAP_\
+Tester","implied" : ["Tester(IsMonogenicSemigroup)"]},"Tester(IsMonoidAsSemigroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsM\
+onoidAsSemigroup)"]},"Tester(IsNilpotentSemigroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsNilpotentSemigroup)"]},"Tester(Is\
+OrthodoxSemigroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsOrthodoxSemigroup)"]},"Tester(IsRectangularBand)" : {"type" : "GA\
+P_Tester","implied" : ["Tester(IsRectangularBand)"]},"Tester(IsRightZeroSemigroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsR\
+ightZeroSemigroup)"]},"Tester(IsSemiband)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSemiband)"]},"Tester(IsSemilattice)" : {"t\
+ype" : "GAP_Tester","implied" : ["Tester(IsSemilattice)"]},"Tester(IsZeroSemigroup)" : {"type" : "GAP_Tester","implied" : ["Tester(Is\
+ZeroSemigroup)"]},"Tester(IsLeftSemigroupIdeal)" : {"type" : "GAP_Tester","implied" : ["Tester(IsLeftSemigroupIdeal)"]},"Tester(IsRig\
+htSemigroupIdeal)" : {"type" : "GAP_Tester","implied" : ["Tester(IsRightSemigroupIdeal)"]},"Tester(IsSemigroupIdeal)" : {"type" : "GA\
+P_Tester","implied" : ["Tester(IsSemigroupIdeal)"]},"Tester(ReesCongruenceOfSemigroupIdeal)" : {"type" : "GAP_Attribute","implied" : \
+["Tester(ReesCongruenceOfSemigroupIdeal)"]},"Tester(AsMonoid)" : {"type" : "GAP_Attribute","implied" : ["Tester(AsMonoid)"]},"Tester(\
+NameIsomorphismClass)" : {"type" : "GAP_Attribute","implied" : ["Tester(NameIsomorphismClass)"]},"Tester(IsCyclic)" : {"type" : "GAP_\
+Tester","implied" : ["Tester(IsCyclic)"]},"Tester(IsElementaryAbelian)" : {"type" : "GAP_Tester","implied" : ["Tester(IsElementaryAbe\
+lian)"]},"Tester(IsFinitelyGeneratedGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsFinitelyGeneratedGroup)"]},"Tester(IsSubs\
+etLocallyFiniteGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSubsetLocallyFiniteGroup)"]},"CanEasilyTestMembership" : {"typ\
+e" : "GAP_Filter","implied" : ["CanEasilyTestMembership"]},"CanEasilyComputeWithIndependentGensAbelianGroup" : {"type" : "GAP_Filter"\
+,"implied" : ["CanEasilyComputeWithIndependentGensAbelianGroup"]},"CanComputeSizeAnySubgroup" : {"type" : "GAP_Filter","implied" : ["\
+CanComputeSize","CanComputeSizeAnySubgroup"]},"Tester(KnowsHowToDecompose)" : {"type" : "GAP_Tester","implied" : ["Tester(KnowsHowToD\
+ecompose)"]},"Tester(IsPGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPGroup)"]},"Tester(PrimePGroup)" : {"type" : "GAP_Att\
+ribute","implied" : ["Tester(PrimePGroup)"]},"Tester(PClassPGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(PClassPGroup)"]}\
+,"Tester(RankPGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(RankPGroup)"]},"Tester(IsNilpotentGroup)" : {"type" : "GAP_Tes\
+ter","implied" : ["Tester(IsNilpotentGroup)"]},"Tester(IsPerfectGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPerfectGroup)\
+"]},"Tester(IsSporadicSimpleGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSporadicSimpleGroup)"]},"Tester(IsSimpleGroup)" :\
+ {"type" : "GAP_Tester","implied" : ["Tester(IsSimpleGroup)"]},"Tester(IsAlmostSimpleGroup)" : {"type" : "GAP_Tester","implied" : ["T\
+ester(IsAlmostSimpleGroup)"]},"Tester(IsSupersolvableGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSupersolvableGroup)"]},"\
+Tester(IsMonomialGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsMonomialGroup)"]},"Tester(IsSolvableGroup)" : {"type" : "GAP\
+_Tester","implied" : ["Tester(IsSolvableGroup)"]},"Tester(IsPolycyclicGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPolycyc\
+licGroup)"]},"Tester(AbelianInvariants)" : {"type" : "GAP_Attribute","implied" : ["Tester(AbelianInvariants)"]},"Tester(IsInfiniteAbe\
+lianizationGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(IsInfiniteAbelianizationGroup)"]},"Tester(AsGroup)" : {"type" : "\
+GAP_Attribute","implied" : ["Tester(AsGroup)"]},"Tester(ChiefSeries)" : {"type" : "GAP_Attribute","implied" : ["Tester(ChiefSeries)"]\
+},"Tester(CommutatorFactorGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(CommutatorFactorGroup)"]},"Tester(CompositionSerie\
+s)" : {"type" : "GAP_Attribute","implied" : ["Tester(CompositionSeries)"]},"Tester(ConjugacyClasses)" : {"type" : "GAP_Attribute","im\
+plied" : ["Tester(ConjugacyClasses)"]},"Tester(ConjugacyClassesMaximalSubgroups)" : {"type" : "GAP_Attribute","implied" : ["Tester(Co\
+njugacyClassesMaximalSubgroups)"]},"Tester(MaximalSubgroups)" : {"type" : "GAP_Attribute","implied" : ["Tester(MaximalSubgroups)"]},"\
+Tester(MaximalSubgroupClassReps)" : {"type" : "GAP_Attribute","implied" : ["Tester(MaximalSubgroupClassReps)"]},"Tester(PerfectResidu\
+um)" : {"type" : "GAP_Attribute","implied" : ["Tester(PerfectResiduum)"]},"Tester(RepresentativesPerfectSubgroups)" : {"type" : "GAP_\
+Attribute","implied" : ["Tester(RepresentativesPerfectSubgroups)"]},"Tester(RepresentativesSimpleSubgroups)" : {"type" : "GAP_Attribu\
+te","implied" : ["Tester(RepresentativesSimpleSubgroups)"]},"Tester(ConjugacyClassesPerfectSubgroups)" : {"type" : "GAP_Attribute","i\
+mplied" : ["Tester(ConjugacyClassesPerfectSubgroups)"]},"Tester(ConjugacyClassesSubgroups)" : {"type" : "GAP_Attribute","implied" : [\
+"Tester(ConjugacyClassesSubgroups)"]},"Tester(LatticeSubgroups)" : {"type" : "GAP_Attribute","implied" : ["Tester(LatticeSubgroups)"]\
+},"Tester(DerivedLength)" : {"type" : "GAP_Attribute","implied" : ["Tester(DerivedLength)"]},"Tester(HirschLength)" : {"type" : "GAP_\
+Attribute","implied" : ["Tester(HirschLength)"]},"Tester(DerivedSeriesOfGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(Deri\
+vedSeriesOfGroup)"]},"Tester(DerivedSubgroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(DerivedSubgroup)"]},"Tester(MaximalAb\
+elianQuotient)" : {"type" : "GAP_Attribute","implied" : ["Tester(MaximalAbelianQuotient)"]},"Tester(CommutatorLength)" : {"type" : "G\
+AP_Attribute","implied" : ["Tester(CommutatorLength)"]},"Tester(DimensionsLoewyFactors)" : {"type" : "GAP_Attribute","implied" : ["Te\
+ster(DimensionsLoewyFactors)"]},"Tester(ElementaryAbelianSeries)" : {"type" : "GAP_Attribute","implied" : ["Tester(ElementaryAbelianS\
+eries)"]},"Tester(ElementaryAbelianSeriesLargeSteps)" : {"type" : "GAP_Attribute","implied" : ["Tester(ElementaryAbelianSeriesLargeSt\
+eps)"]},"Tester(Exponent)" : {"type" : "GAP_Attribute","implied" : ["Tester(Exponent)"]},"Tester(FittingSubgroup)" : {"type" : "GAP_A\
+ttribute","implied" : ["Tester(FittingSubgroup)"]},"Tester(PrefrattiniSubgroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(Pre\
+frattiniSubgroup)"]},"Tester(FrattiniSubgroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(FrattiniSubgroup)"]},"Tester(Invaria\
+ntForm)" : {"type" : "GAP_Attribute","implied" : ["Tester(InvariantForm)"]},"Tester(JenningsSeries)" : {"type" : "GAP_Attribute","imp\
+lied" : ["Tester(JenningsSeries)"]},"Tester(LowerCentralSeriesOfGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(LowerCentral\
+SeriesOfGroup)"]},"Tester(NilpotencyClassOfGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(NilpotencyClassOfGroup)"]},"Teste\
+r(MaximalNormalSubgroups)" : {"type" : "GAP_Attribute","implied" : ["Tester(MaximalNormalSubgroups)"]},"Tester(NormalMaximalSubgroups\
+)" : {"type" : "GAP_Attribute","implied" : ["Tester(NormalMaximalSubgroups)"]},"Tester(MinimalNormalSubgroups)" : {"type" : "GAP_Attr\
+ibute","implied" : ["Tester(MinimalNormalSubgroups)"]},"Tester(NormalSubgroups)" : {"type" : "GAP_Attribute","implied" : ["Tester(Nor\
+malSubgroups)"]},"Tester(NrConjugacyClasses)" : {"type" : "GAP_Attribute","implied" : ["Tester(NrConjugacyClasses)"]},"Tester(Compute\
+dOmegas)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedOmegas)"]},"Tester(ComputedAgemos)" : {"type" : "GAP_Attribute","i\
+mplied" : ["Tester(ComputedAgemos)"]},"Tester(RadicalGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(RadicalGroup)"]},"Teste\
+r(RationalClasses)" : {"type" : "GAP_Attribute","implied" : ["Tester(RationalClasses)"]},"Tester(GeneratorsSmallest)" : {"type" : "GA\
+P_Attribute","implied" : ["Tester(GeneratorsSmallest)"]},"Tester(LargestElementGroup)" : {"type" : "GAP_Attribute","implied" : ["Test\
+er(LargestElementGroup)"]},"Tester(MinimalGeneratingSet)" : {"type" : "GAP_Attribute","implied" : ["Tester(MinimalGeneratingSet)"]},"\
+Tester(SmallGeneratingSet)" : {"type" : "GAP_Attribute","implied" : ["Tester(SmallGeneratingSet)"]},"Tester(SupersolvableResiduum)" :\
+ {"type" : "GAP_Attribute","implied" : ["Tester(SupersolvableResiduum)"]},"Tester(ComplementSystem)" : {"type" : "GAP_Attribute","imp\
+lied" : ["Tester(ComplementSystem)"]},"Tester(SylowSystem)" : {"type" : "GAP_Attribute","implied" : ["Tester(SylowSystem)"]},"Tester(\
+HallSystem)" : {"type" : "GAP_Attribute","implied" : ["Tester(HallSystem)"]},"Tester(Socle)" : {"type" : "GAP_Attribute","implied" : \
+["Tester(Socle)"]},"Tester(UpperCentralSeriesOfGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(UpperCentralSeriesOfGroup)"]}\
+,"Tester(CoreInParent)" : {"type" : "GAP_Attribute","implied" : ["Tester(CoreInParent)"]},"Tester(IndexInParent)" : {"type" : "GAP_At\
+tribute","implied" : ["Tester(IndexInParent)"]},"Tester(IndexInWholeGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(IndexInW\
+holeGroup)"]},"Tester(IndependentGeneratorsOfAbelianGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(IndependentGeneratorsOfA\
+belianGroup)"]},"Tester(IsNormalInParent)" : {"type" : "GAP_Tester","implied" : ["Tester(IsNormalInParent)"]},"Tester(ComputedIsPNilp\
+otents)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedIsPNilpotents)"]},"Tester(ComputedIsPSolvables)" : {"type" : "GAP_A\
+ttribute","implied" : ["Tester(ComputedIsPSolvables)"]},"Tester(NormalClosureInParent)" : {"type" : "GAP_Attribute","implied" : ["Tes\
+ter(NormalClosureInParent)"]},"Tester(NormalizerInParent)" : {"type" : "GAP_Attribute","implied" : ["Tester(NormalizerInParent)"]},"T\
+ester(ComputedPCentralSeriess)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedPCentralSeriess)"]},"Tester(ComputedPRumps)"\
+ : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedPRumps)"]},"Tester(ComputedPCores)" : {"type" : "GAP_Attribute","implied" :\
+ ["Tester(ComputedPCores)"]},"Tester(SubnormalSeriesInParent)" : {"type" : "GAP_Attribute","implied" : ["Tester(SubnormalSeriesInPare\
+nt)"]},"Tester(ComputedSylowSubgroups)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedSylowSubgroups)"]},"Tester(ComputedS\
+ylowComplements)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedSylowComplements)"]},"Tester(ComputedHallSubgroups)" : {"t\
+ype" : "GAP_Attribute","implied" : ["Tester(ComputedHallSubgroups)"]},"Tester(GrowthFunctionOfGroup)" : {"type" : "GAP_Attribute","im\
+plied" : ["Tester(GrowthFunctionOfGroup)"]},"Tester(ElementTestFunction)" : {"type" : "GAP_Attribute","implied" : ["Tester(ElementTes\
+tFunction)"]},"IsRightTransversal" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsRightTransversal"]}\
+,"CategoryCollections(IsRightTransversal)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","CategoryColle\
+ctions(IsRightTransversal)"]},"Tester(RightTransversalInParent)" : {"type" : "GAP_Attribute","implied" : ["Tester(RightTransversalInP\
+arent)"]},"Tester(IsomorphismTypeInfoFiniteSimpleGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(IsomorphismTypeInfoFiniteSi\
+mpleGroup)"]},"Tester(IsomorphismPcGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(IsomorphismPcGroup)"]},"Tester(Isomorphis\
+mSpecialPcGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(IsomorphismSpecialPcGroup)"]},"Tester(IsomorphismPermGroup)" : {"t\
+ype" : "GAP_Attribute","implied" : ["Tester(IsomorphismPermGroup)"]},"Tester(IsomorphismFpGroup)" : {"type" : "GAP_Attribute","implie\
+d" : ["Tester(IsomorphismFpGroup)"]},"Tester(PrimePowerComponents)" : {"type" : "GAP_Attribute","implied" : ["Tester(PrimePowerCompon\
+ents)"]},"IsGroupOfFamily" : {"type" : "GAP_Filter","implied" : ["IsGroupOfFamily"]},"Tester(IsGeneratorsOfInverseSemigroup)" : {"typ\
+e" : "GAP_Tester","implied" : ["Tester(IsGeneratorsOfInverseSemigroup)"]},"Tester(GeneratorsOfInverseMonoid)" : {"type" : "GAP_Attrib\
+ute","implied" : ["Tester(GeneratorsOfInverseMonoid)"]},"Tester(GeneratorsOfInverseSemigroup)" : {"type" : "GAP_Attribute","implied" \
+: ["Tester(GeneratorsOfInverseSemigroup)"]},"Tester(AsInverseSemigroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(AsInverseSe\
+migroup)"]},"Tester(AsInverseMonoid)" : {"type" : "GAP_Attribute","implied" : ["Tester(AsInverseMonoid)"]},"Tester(ReverseNaturalPart\
+ialOrder)" : {"type" : "GAP_Attribute","implied" : ["Tester(ReverseNaturalPartialOrder)"]},"Tester(NaturalPartialOrder)" : {"type" : \
+"GAP_Attribute","implied" : ["Tester(NaturalPartialOrder)"]},"IsNearAdditiveMagma" : {"type" : "GAP_Category","implied" : ["IsListOrC\
+ollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryC\
+ollections(IsNearAdditiveElement)","IsGeneralizedDomain","IsNearAdditiveMagma"]},"IsNearAdditiveMagmaWithZero" : {"type" : "GAP_Categ\
+ory","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollection\
+s(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","IsGeneralizedDom\
+ain","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero"]},"IsNearAdditiveGroup" : {"type" : "GAP_Category","implied" : ["IsListOrCol\
+lection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCol\
+lections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithI\
+nverse)","IsGeneralizedDomain","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup"]},"Tester(IsAdditivelyCommut\
+ative)" : {"type" : "GAP_Tester","implied" : ["Tester(IsAdditivelyCommutative)"]},"Tester(GeneratorsOfNearAdditiveMagma)" : {"type" :\
+ "GAP_Attribute","implied" : ["Tester(GeneratorsOfNearAdditiveMagma)"]},"Tester(GeneratorsOfNearAdditiveMagmaWithZero)" : {"type" : "\
+GAP_Attribute","implied" : ["Tester(GeneratorsOfNearAdditiveMagmaWithZero)"]},"Tester(GeneratorsOfNearAdditiveGroup)" : {"type" : "GA\
+P_Attribute","implied" : ["Tester(GeneratorsOfNearAdditiveGroup)"]},"Tester(TrivialSubnearAdditiveMagmaWithZero)" : {"type" : "GAP_At\
+tribute","implied" : ["Tester(TrivialSubnearAdditiveMagmaWithZero)"]},"Tester(AdditiveNeutralElement)" : {"type" : "GAP_Attribute","i\
+mplied" : ["Tester(AdditiveNeutralElement)"]},"IsAdditiveCoset" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsColle\
+ction","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","IsNearAdditiveElement","IsAdditiveElement","IsGeneralizedDomain",\
+"IsExtASet","IsAssociativeAOpESum","IsTrivialAOpEZero","IsAdditiveCoset"]},"Tester(IsLDistributive)" : {"type" : "GAP_Tester","implie\
+d" : ["Tester(IsLDistributive)"]},"Tester(IsRDistributive)" : {"type" : "GAP_Tester","implied" : ["Tester(IsRDistributive)"]},"Tester\
+(GeneratorsOfSemiring)" : {"type" : "GAP_Attribute","implied" : ["Tester(GeneratorsOfSemiring)"]},"Tester(GeneratorsOfSemiringWithOne\
+)" : {"type" : "GAP_Attribute","implied" : ["Tester(GeneratorsOfSemiringWithOne)"]},"Tester(GeneratorsOfSemiringWithZero)" : {"type" \
+: "GAP_Attribute","implied" : ["Tester(GeneratorsOfSemiringWithZero)"]},"Tester(GeneratorsOfSemiringWithOneAndZero)" : {"type" : "GAP\
+_Attribute","implied" : ["Tester(GeneratorsOfSemiringWithOneAndZero)"]},"Tester(AsSemiring)" : {"type" : "GAP_Attribute","implied" : \
+["Tester(AsSemiring)"]},"Tester(AsSemiringWithOne)" : {"type" : "GAP_Attribute","implied" : ["Tester(AsSemiringWithOne)"]},"Tester(As\
+SemiringWithZero)" : {"type" : "GAP_Attribute","implied" : ["Tester(AsSemiringWithZero)"]},"Tester(AsSemiringWithOneAndZero)" : {"typ\
+e" : "GAP_Attribute","implied" : ["Tester(AsSemiringWithOneAndZero)"]},"Tester(CentralIdempotentsOfSemiring)" : {"type" : "GAP_Attrib\
+ute","implied" : ["Tester(CentralIdempotentsOfSemiring)"]},"Tester(AsNearRing)" : {"type" : "GAP_Attribute","implied" : ["Tester(AsNe\
+arRing)"]},"Tester(AsRing)" : {"type" : "GAP_Attribute","implied" : ["Tester(AsRing)"]},"Tester(GeneratorsOfRing)" : {"type" : "GAP_A\
+ttribute","implied" : ["Tester(GeneratorsOfRing)"]},"Tester(GeneratorsOfRingWithOne)" : {"type" : "GAP_Attribute","implied" : ["Teste\
+r(GeneratorsOfRingWithOne)"]},"IsUniqueFactorizationRing" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection"\
+,"IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditive\
+Element)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryColle\
+ctions(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)",\
+"CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","I\
+sNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistr\
+ibutive","Tester(IsRDistributive)","IsUniqueFactorizationRing"]},"IsEuclideanRing" : {"type" : "GAP_Category","implied" : ["IsListOrC\
+ollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryC\
+ollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWit\
+hInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCol\
+lections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","IsGene\
+ralizedDomain","IsMagma","IsMagmaWithOne","Tester(MultiplicativeNeutralElement)","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero",\
+"IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDis\
+tributive","Tester(IsRDistributive)","IsUniqueFactorizationRing","IsEuclideanRing"]},"Tester(IsAnticommutative)" : {"type" : "GAP_Tes\
+ter","implied" : ["Tester(IsAnticommutative)"]},"Tester(IsIntegralRing)" : {"type" : "GAP_Tester","implied" : ["Tester(IsIntegralRing\
+)"]},"Tester(IsJacobianRing)" : {"type" : "GAP_Tester","implied" : ["Tester(IsJacobianRing)"]},"Tester(IsZeroSquaredRing)" : {"type" \
+: "GAP_Tester","implied" : ["Tester(IsZeroSquaredRing)"]},"Tester(IsZeroMultiplicationRing)" : {"type" : "GAP_Tester","implied" : ["T\
+ester(IsZeroMultiplicationRing)"]},"Tester(Units)" : {"type" : "GAP_Attribute","implied" : ["Tester(Units)"]},"Tester(IsGeneralizedCa\
+rtanMatrix)" : {"type" : "GAP_Tester","implied" : ["Tester(IsGeneralizedCartanMatrix)"]},"Tester(BaseMat)" : {"type" : "GAP_Attribute\
+","implied" : ["Tester(BaseMat)"]},"Tester(BaseOrthogonalSpaceMat)" : {"type" : "GAP_Attribute","implied" : ["Tester(BaseOrthogonalSp\
+aceMat)"]},"Tester(DefaultFieldOfMatrix)" : {"type" : "GAP_Attribute","implied" : ["Tester(DefaultFieldOfMatrix)"]},"Tester(DepthOfUp\
+perTriangularMatrix)" : {"type" : "GAP_Attribute","implied" : ["Tester(DepthOfUpperTriangularMatrix)"]},"Tester(DeterminantMat)" : {"\
+type" : "GAP_Attribute","implied" : ["Tester(DeterminantMat)"]},"Tester(DimensionsMat)" : {"type" : "GAP_Attribute","implied" : ["Tes\
+ter(DimensionsMat)"]},"Tester(NullspaceMat)" : {"type" : "GAP_Attribute","implied" : ["Tester(NullspaceMat)"]},"Tester(TriangulizedNu\
+llspaceMat)" : {"type" : "GAP_Attribute","implied" : ["Tester(TriangulizedNullspaceMat)"]},"Tester(ProjectiveOrder)" : {"type" : "GAP\
+_Attribute","implied" : ["Tester(ProjectiveOrder)"]},"Tester(RankMat)" : {"type" : "GAP_Attribute","implied" : ["Tester(RankMat)"]},"\
+Tester(SemiEchelonMat)" : {"type" : "GAP_Attribute","implied" : ["Tester(SemiEchelonMat)"]},"Tester(SemiEchelonMatTransformation)" : \
+{"type" : "GAP_Attribute","implied" : ["Tester(SemiEchelonMatTransformation)"]},"Tester(TransposedMatImmutable)" : {"type" : "GAP_Att\
+ribute","implied" : ["Tester(TransposedMatImmutable)"]},"Tester(IsMonomialMatrix)" : {"type" : "GAP_Tester","implied" : ["Tester(IsMo\
+nomialMatrix)"]},"Tester(JordanDecomposition)" : {"type" : "GAP_Attribute","implied" : ["Tester(JordanDecomposition)"]},"Tester(Chara\
+cteristicPolynomial)" : {"type" : "GAP_Attribute","implied" : ["Tester(CharacteristicPolynomial)"]},"Tester(BaseIntMat)" : {"type" : \
+"GAP_Attribute","implied" : ["Tester(BaseIntMat)"]},"Tester(NullspaceIntMat)" : {"type" : "GAP_Attribute","implied" : ["Tester(Nullsp\
+aceIntMat)"]},"Tester(AbelianInvariantsOfList)" : {"type" : "GAP_Attribute","implied" : ["Tester(AbelianInvariantsOfList)"]},"Tester(\
+MatrixByBlockMatrix)" : {"type" : "GAP_Attribute","implied" : ["Tester(MatrixByBlockMatrix)"]},"Tester(IsTwoSidedIdealInParent)" : {"\
+type" : "GAP_Tester","implied" : ["Tester(IsTwoSidedIdealInParent)"]},"Tester(IsLeftIdealInParent)" : {"type" : "GAP_Tester","implied\
+" : ["Tester(IsLeftIdealInParent)"]},"Tester(IsRightIdealInParent)" : {"type" : "GAP_Tester","implied" : ["Tester(IsRightIdealInParen\
+t)"]},"Tester(GeneratorsOfTwoSidedIdeal)" : {"type" : "GAP_Attribute","implied" : ["Tester(GeneratorsOfTwoSidedIdeal)"]},"Tester(Gene\
+ratorsOfLeftIdeal)" : {"type" : "GAP_Attribute","implied" : ["Tester(GeneratorsOfLeftIdeal)"]},"Tester(GeneratorsOfRightIdeal)" : {"t\
+ype" : "GAP_Attribute","implied" : ["Tester(GeneratorsOfRightIdeal)"]},"Tester(LeftActingRingOfIdeal)" : {"type" : "GAP_Attribute","i\
+mplied" : ["Tester(LeftActingRingOfIdeal)"]},"Tester(RightActingRingOfIdeal)" : {"type" : "GAP_Attribute","implied" : ["Tester(RightA\
+ctingRingOfIdeal)"]},"IsFreeLeftModule" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree"\
+,"Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","Categor\
+yCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveE\
+lement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne"\
+,"IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(Is\
+AdditivelyCommutative)","IsFreeLeftModule"]},"Tester(IsFiniteDimensional)" : {"type" : "GAP_Tester","implied" : ["Tester(IsFiniteDime\
+nsional)"]},"Tester(IsFullRowModule)" : {"type" : "GAP_Tester","implied" : ["Tester(IsFullRowModule)"]},"Tester(IsFullMatrixModule)" \
+: {"type" : "GAP_Tester","implied" : ["Tester(IsFullMatrixModule)"]},"IsHandledByNiceBasis" : {"type" : "GAP_Category","implied" : ["\
+IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtA\
+Element","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElement\
+WithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","Is\
+ExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAddi\
+tiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLef\
+tModule","IsHandledByNiceBasis"]},"Tester(Dimension)" : {"type" : "GAP_Attribute","implied" : ["Tester(Dimension)"]},"Tester(Generato\
+rsOfLeftOperatorAdditiveGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(GeneratorsOfLeftOperatorAdditiveGroup)"]},"Tester(Ge\
+neratorsOfRightOperatorAdditiveGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(GeneratorsOfRightOperatorAdditiveGroup)"]},"T\
+ester(IsRowModule)" : {"type" : "GAP_Tester","implied" : ["Tester(IsRowModule)"]},"Tester(IsMatrixModule)" : {"type" : "GAP_Tester","\
+implied" : ["Tester(IsMatrixModule)"]},"Tester(DimensionOfVectors)" : {"type" : "GAP_Attribute","implied" : ["Tester(DimensionOfVecto\
+rs)"]},"IsBasis" : {"type" : "GAP_Category","implied" : ["IsList","IsDenseList","IsHomogeneousList","IsListOrCollection","IsDuplicate\
+Free","Tester(IsDuplicateFree)","IsBasis"]},"Tester(IsCanonicalBasis)" : {"type" : "GAP_Tester","implied" : ["Tester(IsCanonicalBasis\
+)"]},"Tester(IsCanonicalBasisFullRowModule)" : {"type" : "GAP_Tester","implied" : ["Tester(IsCanonicalBasisFullRowModule)"]},"Tester(\
+IsCanonicalBasisFullMatrixModule)" : {"type" : "GAP_Tester","implied" : ["Tester(IsCanonicalBasisFullMatrixModule)"]},"Tester(IsInteg\
+ralBasis)" : {"type" : "GAP_Tester","implied" : ["Tester(IsIntegralBasis)"]},"Tester(IsNormalBasis)" : {"type" : "GAP_Tester","implie\
+d" : ["Tester(IsNormalBasis)"]},"Tester(IsSemiEchelonized)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSemiEchelonized)"]},"Test\
+er(BasisVectors)" : {"type" : "GAP_Attribute","implied" : ["Tester(BasisVectors)"]},"Tester(EnumeratorByBasis)" : {"type" : "GAP_Attr\
+ibute","implied" : ["Tester(EnumeratorByBasis)"]},"Tester(StructureConstantsTable)" : {"type" : "GAP_Attribute","implied" : ["Tester(\
+StructureConstantsTable)"]},"Tester(UnderlyingLeftModule)" : {"type" : "GAP_Attribute","implied" : ["Tester(UnderlyingLeftModule)"]},\
+"Tester(Basis)" : {"type" : "GAP_Attribute","implied" : ["Tester(Basis)"]},"Tester(SemiEchelonBasis)" : {"type" : "GAP_Attribute","im\
+plied" : ["Tester(SemiEchelonBasis)"]},"IsGenericFiniteSpace" : {"type" : "GAP_Filter","implied" : ["IsComponentObjectRep","IsAttribu\
+teStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(Is\
+ExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(\
+IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd"\
+,"IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaW\
+ithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis",\
+"IsGenericFiniteSpace"]},"IsSpaceOfRationalFunctions" : {"type" : "GAP_Filter","implied" : ["IsComponentObjectRep","IsAttributeStorin\
+gRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElem\
+ent)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAd\
+ditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDist\
+ributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero"\
+,"IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","IsSpace\
+OfRationalFunctions"]},"IsBasisByNiceBasis" : {"type" : "GAP_Category","implied" : ["IsList","IsDenseList","IsHomogeneousList","IsLis\
+tOrCollection","IsFinite","Tester(IsFinite)","IsSmallList","Tester(IsSmallList)","IsDuplicateFree","Tester(IsDuplicateFree)","IsBasis\
+","IsBasisByNiceBasis"]},"Tester(NiceBasis)" : {"type" : "GAP_Attribute","implied" : ["Tester(NiceBasis)"]},"Tester(NiceFreeLeftModul\
+e)" : {"type" : "GAP_Attribute","implied" : ["Tester(NiceFreeLeftModule)"]},"Tester(NiceFreeLeftModuleInfo)" : {"type" : "GAP_Attribu\
+te","implied" : ["Tester(NiceFreeLeftModuleInfo)"]},"IsMutableBasis" : {"type" : "GAP_Category","implied" : ["IsMutableBasis"]},"IsGa\
+ussianSpace" : {"type" : "GAP_Filter","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","I\
+sExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveEl\
+ementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain\
+","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLef\
+tActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGrou\
+p","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsGaussianSpace"]},"Tester(CanonicalBasis)" : {"ty\
+pe" : "GAP_Attribute","implied" : ["Tester(CanonicalBasis)"]},"IsNonGaussianRowSpace" : {"type" : "GAP_Filter","implied" : ["IsCompon\
+entObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement"\
+,"CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero\
+)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet"\
+,"IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagm\
+a","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule"\
+,"IsHandledByNiceBasis","IsNonGaussianRowSpace"]},"IsNonGaussianMatrixSpace" : {"type" : "GAP_Filter","implied" : ["IsComponentObject\
+Rep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","Categor\
+yCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","Categ\
+oryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssoc\
+iativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNea\
+rAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandl\
+edByNiceBasis","IsNonGaussianMatrixSpace"]},"Tester(NormedRowVectors)" : {"type" : "GAP_Attribute","implied" : ["Tester(NormedRowVect\
+ors)"]},"IsSubspacesVectorSpace" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsFinite","Tester(IsFin\
+ite)","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsSubspacesVectorSpace"]},"Tester(Subspaces)" : {"type" : "G\
+AP_Attribute","implied" : ["Tester(Subspaces)"]},"Tester(OrthogonalSpaceInFullRowSpace)" : {"type" : "GAP_Attribute","implied" : ["Te\
+ster(OrthogonalSpaceInFullRowSpace)"]},"Tester(IsVectorSpaceHomomorphism)" : {"type" : "GAP_Tester","implied" : ["Tester(IsVectorSpac\
+eHomomorphism)"]},"Tester(AsLeftModuleGeneralMappingByImages)" : {"type" : "GAP_Attribute","implied" : ["Tester(AsLeftModuleGeneralMa\
+ppingByImages)"]},"Tester(IsFullHomModule)" : {"type" : "GAP_Tester","implied" : ["Tester(IsFullHomModule)"]},"Tester(IsPseudoCanonic\
+alBasisFullHomModule)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPseudoCanonicalBasisFullHomModule)"]},"IsLinearMappingsModule"\
+ : {"type" : "GAP_Filter","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicat\
+eFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","C\
+ategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdd\
+itiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLO\
+pEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tes\
+ter(IsAdditivelyCommutative)","IsFreeLeftModule","IsFiniteDimensional","Tester(IsFiniteDimensional)","IsHandledByNiceBasis","IsLinear\
+MappingsModule"]},"Tester(IsSimpleAlgebra)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSimpleAlgebra)"]},"Tester(GeneratorsOfLef\
+tOperatorRing)" : {"type" : "GAP_Attribute","implied" : ["Tester(GeneratorsOfLeftOperatorRing)"]},"Tester(GeneratorsOfLeftOperatorRin\
+gWithOne)" : {"type" : "GAP_Attribute","implied" : ["Tester(GeneratorsOfLeftOperatorRingWithOne)"]},"Tester(PowerSubalgebraSeries)" :\
+ {"type" : "GAP_Attribute","implied" : ["Tester(PowerSubalgebraSeries)"]},"Tester(AdjointBasis)" : {"type" : "GAP_Attribute","implied\
+" : ["Tester(AdjointBasis)"]},"Tester(IndicesOfAdjointBasis)" : {"type" : "GAP_Attribute","implied" : ["Tester(IndicesOfAdjointBasis)\
+"]},"Tester(RadicalOfAlgebra)" : {"type" : "GAP_Attribute","implied" : ["Tester(RadicalOfAlgebra)"]},"Tester(DirectSumDecomposition)"\
+ : {"type" : "GAP_Attribute","implied" : ["Tester(DirectSumDecomposition)"]},"Tester(NullAlgebra)" : {"type" : "GAP_Attribute","impli\
+ed" : ["Tester(NullAlgebra)"]},"Tester(LieAlgebraByDomain)" : {"type" : "GAP_Attribute","implied" : ["Tester(LieAlgebraByDomain)"]},"\
+IsQuaternion" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNear\
+AdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWit\
+hOne","IsMultiplicativeElementWithInverse","IsAssociative","Tester(IsAssociative)","IsQuaternion"]},"CategoryCollections(IsQuaternion\
+)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","\
+CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveE\
+lementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","Ca\
+tegoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)\
+","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsQuaternion)"]},"CategoryCollections(CategoryCollec\
+tions(IsQuaternion))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollection\
+s(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveEl\
+ement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdd\
+itiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLE\
+lement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryColl\
+ections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections\
+(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))"\
+,"CategoryCollections(CategoryCollections(IsQuaternion))"]},"Tester(LeviMalcevDecomposition)" : {"type" : "GAP_Attribute","implied" :\
+ ["Tester(LeviMalcevDecomposition)"]},"Tester(Grading)" : {"type" : "GAP_Attribute","implied" : ["Tester(Grading)"]},"IsElementOfMagm\
+aRingModuloRelations" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero"\
+,"IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeEl\
+ementWithOne","IsMultiplicativeElementWithInverse","IsElementOfMagmaRingModuloRelations"]},"CategoryCollections(IsElementOfMagmaRingM\
+oduloRelations)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsE\
+xtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(I\
+sNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsEx\
+tRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeE\
+lementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsElementOfMagmaRingModuloRelations)"]\
+},"CategoryFamily(IsElementOfMagmaRingModuloRelations)" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily((IsNearAdd\
+itiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and \
+IsMultiplicativeElement))","CategoryFamily(IsElementOfMagmaRingModuloRelations)"]},"IsElementOfFreeMagmaRing" : {"type" : "GAP_Catego\
+ry","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditi\
+veElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInv\
+erse","IsElementOfMagmaRingModuloRelations","IsElementOfFreeMagmaRing"]},"CategoryCollections(IsElementOfFreeMagmaRing)" : {"type" : \
+"GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollect\
+ions(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInver\
+se)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollectio\
+ns(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryColl\
+ections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsElementOfMagmaRingModuloRelations)","CategoryCollections(IsElemen\
+tOfFreeMagmaRing)"]},"CategoryFamily(IsElementOfFreeMagmaRing)" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily((I\
+sNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveEleme\
+nt) and IsMultiplicativeElement))","CategoryFamily(IsElementOfMagmaRingModuloRelations)","CategoryFamily(IsElementOfFreeMagmaRing)"]}\
+,"Tester(CoefficientsAndMagmaElements)" : {"type" : "GAP_Attribute","implied" : ["Tester(CoefficientsAndMagmaElements)"]},"Tester(Zer\
+oCoefficient)" : {"type" : "GAP_Attribute","implied" : ["Tester(ZeroCoefficient)"]},"IsMagmaRingModuloRelations" : {"type" : "GAP_Cat\
+egory","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollecti\
+ons(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollec\
+tions(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)\
+","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsExtLSe\
+t","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnB\
+yRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditi\
+velyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsMagma\
+RingModuloRelations"]},"IsFreeMagmaRing" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree\
+","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","Catego\
+ryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditive\
+Element)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollecti\
+ons(IsMultiplicativeElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSu\
+m","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","Is\
+NearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistri\
+butive","Tester(IsRDistributive)","IsFreeLeftModule","IsMagmaRingModuloRelations","IsFreeMagmaRing"]},"Tester(IsGroupRing)" : {"type"\
+ : "GAP_Tester","implied" : ["Tester(IsGroupRing)"]},"Tester(UnderlyingMagma)" : {"type" : "GAP_Attribute","implied" : ["Tester(Under\
+lyingMagma)"]},"Tester(AugmentationIdeal)" : {"type" : "GAP_Attribute","implied" : ["Tester(AugmentationIdeal)"]},"IsMagmaRingModuloS\
+panOfZero" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","I\
+sExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveEl\
+ementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","Cat\
+egoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)",\
+"IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","Is\
+TrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditive\
+lyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributiv\
+e)","IsFreeLeftModule","IsMagmaRingModuloRelations","IsMagmaRingModuloSpanOfZero"]},"IsElementOfMagmaRingModuloSpanOfZeroFamily" : {"\
+type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","Cate\
+goryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsElementOfMagmaR\
+ingModuloRelations)","IsElementOfMagmaRingModuloSpanOfZeroFamily"]},"IsSpaceOfElementsOfMagmaRing" : {"type" : "GAP_Filter","implied"\
+ : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","I\
+sExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveEl\
+ementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain\
+","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNea\
+rAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFr\
+eeLeftModule","IsHandledByNiceBasis","IsSpaceOfElementsOfMagmaRing"]},"IsElementOfFpAlgebra" : {"type" : "GAP_Category","implied" : [\
+"IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExt\
+LElement","IsExtRElement","IsMultiplicativeElement","IsElementOfFpAlgebra"]},"CategoryCollections(IsElementOfFpAlgebra)" : {"type" : \
+"GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollect\
+ions(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInver\
+se)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollectio\
+ns(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsElementOfFpAlgebra)"]},"CategoryFamily(IsEle\
+mentOfFpAlgebra)" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultipli\
+cativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFa\
+mily(IsElementOfFpAlgebra)"]},"IsSubalgebraFpAlgebra" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","Is\
+DuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElem\
+ent)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollectio\
+ns(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","Cat\
+egoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistr\
+ibutiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnB\
+yDivisionRing)","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester\
+(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule"\
+,"IsSubalgebraFpAlgebra"]},"Tester(IsFullFpAlgebra)" : {"type" : "GAP_Tester","implied" : ["Tester(IsFullFpAlgebra)"]},"Tester(FreeGe\
+neratorsOfFpAlgebra)" : {"type" : "GAP_Attribute","implied" : ["Tester(FreeGeneratorsOfFpAlgebra)"]},"Tester(RelatorsOfFpAlgebra)" : \
+{"type" : "GAP_Attribute","implied" : ["Tester(RelatorsOfFpAlgebra)"]},"Tester(FreeAlgebraOfFpAlgebra)" : {"type" : "GAP_Attribute","\
+implied" : ["Tester(FreeAlgebraOfFpAlgebra)"]},"Tester(IsNormalForm)" : {"type" : "GAP_Tester","implied" : ["Tester(IsNormalForm)"]},\
+"Tester(NiceNormalFormByExtRepFunction)" : {"type" : "GAP_Attribute","implied" : ["Tester(NiceNormalFormByExtRepFunction)"]},"Tester(\
+NiceAlgebraMonomorphism)" : {"type" : "GAP_Attribute","implied" : ["Tester(NiceAlgebraMonomorphism)"]},"IsFpAlgebraElementsSpace" : {\
+"type" : "GAP_Filter","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFre\
+e","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","Categ\
+oryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiv\
+eElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOn\
+e","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(\
+IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","IsFpAlgebraElementsSpace"]},"Tester(IsLieAbelian)" : {"type" : "\
+GAP_Tester","implied" : ["Tester(IsLieAbelian)"]},"Tester(IsLieNilpotent)" : {"type" : "GAP_Tester","implied" : ["Tester(IsLieNilpote\
+nt)"]},"Tester(IsRestrictedLieAlgebra)" : {"type" : "GAP_Tester","implied" : ["Tester(IsRestrictedLieAlgebra)"]},"Tester(LieDerivedSu\
+balgebra)" : {"type" : "GAP_Attribute","implied" : ["Tester(LieDerivedSubalgebra)"]},"Tester(LieDerivedSeries)" : {"type" : "GAP_Attr\
+ibute","implied" : ["Tester(LieDerivedSeries)"]},"Tester(IsLieSolvable)" : {"type" : "GAP_Tester","implied" : ["Tester(IsLieSolvable)\
+"]},"Tester(LieLowerCentralSeries)" : {"type" : "GAP_Attribute","implied" : ["Tester(LieLowerCentralSeries)"]},"Tester(LieUpperCentra\
+lSeries)" : {"type" : "GAP_Attribute","implied" : ["Tester(LieUpperCentralSeries)"]},"Tester(LieCentre)" : {"type" : "GAP_Attribute",\
+"implied" : ["Tester(LieCentre)"]},"Tester(RightDerivations)" : {"type" : "GAP_Attribute","implied" : ["Tester(RightDerivations)"]},"\
+Tester(LeftDerivations)" : {"type" : "GAP_Attribute","implied" : ["Tester(LeftDerivations)"]},"Tester(KillingMatrix)" : {"type" : "GA\
+P_Attribute","implied" : ["Tester(KillingMatrix)"]},"Tester(CartanSubalgebra)" : {"type" : "GAP_Attribute","implied" : ["Tester(Carta\
+nSubalgebra)"]},"Tester(PthPowerImages)" : {"type" : "GAP_Attribute","implied" : ["Tester(PthPowerImages)"]},"Tester(NonNilpotentElem\
+ent)" : {"type" : "GAP_Attribute","implied" : ["Tester(NonNilpotentElement)"]},"Tester(LieNilRadical)" : {"type" : "GAP_Attribute","i\
+mplied" : ["Tester(LieNilRadical)"]},"Tester(LieSolvableRadical)" : {"type" : "GAP_Attribute","implied" : ["Tester(LieSolvableRadical\
+)"]},"Tester(SemiSimpleType)" : {"type" : "GAP_Attribute","implied" : ["Tester(SemiSimpleType)"]},"Tester(LieCentralizerInParent)" : \
+{"type" : "GAP_Attribute","implied" : ["Tester(LieCentralizerInParent)"]},"Tester(LieNormalizerInParent)" : {"type" : "GAP_Attribute"\
+,"implied" : ["Tester(LieNormalizerInParent)"]},"Tester(PowerS)" : {"type" : "GAP_Attribute","implied" : ["Tester(PowerS)"]},"IsRootS\
+ystem" : {"type" : "GAP_Category","implied" : ["IsRootSystem"]},"IsRootSystemFromLieAlgebra" : {"type" : "GAP_Category","implied" : [\
+"IsRootSystem","IsRootSystemFromLieAlgebra"]},"Tester(UnderlyingLieAlgebra)" : {"type" : "GAP_Attribute","implied" : ["Tester(Underly\
+ingLieAlgebra)"]},"Tester(RootSystem)" : {"type" : "GAP_Attribute","implied" : ["Tester(RootSystem)"]},"Tester(PositiveRoots)" : {"ty\
+pe" : "GAP_Attribute","implied" : ["Tester(PositiveRoots)"]},"Tester(NegativeRoots)" : {"type" : "GAP_Attribute","implied" : ["Tester\
+(NegativeRoots)"]},"Tester(PositiveRootVectors)" : {"type" : "GAP_Attribute","implied" : ["Tester(PositiveRootVectors)"]},"Tester(Neg\
+ativeRootVectors)" : {"type" : "GAP_Attribute","implied" : ["Tester(NegativeRootVectors)"]},"Tester(SimpleSystem)" : {"type" : "GAP_A\
+ttribute","implied" : ["Tester(SimpleSystem)"]},"Tester(CartanMatrix)" : {"type" : "GAP_Attribute","implied" : ["Tester(CartanMatrix)\
+"]},"Tester(BilinearFormMat)" : {"type" : "GAP_Attribute","implied" : ["Tester(BilinearFormMat)"]},"Tester(CanonicalGenerators)" : {"\
+type" : "GAP_Attribute","implied" : ["Tester(CanonicalGenerators)"]},"Tester(ChevalleyBasis)" : {"type" : "GAP_Attribute","implied" :\
+ ["Tester(ChevalleyBasis)"]},"Tester(UniversalEnvelopingAlgebra)" : {"type" : "GAP_Attribute","implied" : ["Tester(UniversalEnvelopin\
+gAlgebra)"]},"IsFamilyElementOfFreeLieAlgebra" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElem\
+entWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultipl\
+icativeElement))","CategoryFamily(IsElementOfMagmaRingModuloRelations)","IsFamilyElementOfFreeLieAlgebra"]},"IsFptoSCAMorphism" : {"t\
+ype" : "GAP_Category","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMult\
+iplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingle\
+Valued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Test\
+er(RespectsZero)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalar\
+Multiplication)","IsFptoSCAMorphism"]},"Tester(JenningsLieAlgebra)" : {"type" : "GAP_Attribute","implied" : ["Tester(JenningsLieAlgeb\
+ra)"]},"Tester(PCentralLieAlgebra)" : {"type" : "GAP_Attribute","implied" : ["Tester(PCentralLieAlgebra)"]},"Tester(NaturalHomomorphi\
+smOfLieAlgebraFromNilpotentGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(NaturalHomomorphismOfLieAlgebraFromNilpotentGroup\
+)"]},"IsFamilyOverFullCoefficientsFamily" : {"type" : "GAP_Category","implied" : ["IsFamily","IsFamilyOverFullCoefficientsFamily"]},"\
+IsSCAlgebraObj" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNe\
+arAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementW\
+ithOne","IsMultiplicativeElementWithInverse","IsSCAlgebraObj"]},"CategoryCollections(IsSCAlgebraObj)" : {"type" : "GAP_Category","imp\
+lied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditive\
+Element)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryColle\
+ctions(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)",\
+"CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplic\
+ativeElementWithInverse)","CategoryCollections(IsSCAlgebraObj)"]},"CategoryCollections(CategoryCollections(IsSCAlgebraObj))" : {"type\
+" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCol\
+lections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(\
+CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","Ca\
+tegoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(\
+CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(Is\
+ExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultipl\
+icativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","CategoryCollections(Category\
+Collections(IsSCAlgebraObj))"]},"CategoryCollections(CategoryCollections(CategoryCollections(IsSCAlgebraObj)))" : {"type" : "GAP_Cate\
+gory","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(Cate\
+goryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","CategoryColl\
+ections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))","CategoryCollections(CategoryCollections(CategoryCo\
+llections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","Is\
+ExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","Category\
+Collections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(Catego\
+ryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne\
+)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))","CategoryCollections(Categor\
+yCollections(CategoryCollections(IsSCAlgebraObj)))"]},"CategoryFamily(IsSCAlgebraObj)" : {"type" : "GAP_Category","implied" : ["IsFam\
+ily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInve\
+rse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsSCAlgebraObj)"]},"Tester(IsFullSCAlgebra)" : {"type" : "G\
+AP_Tester","implied" : ["Tester(IsFullSCAlgebra)"]},"Tester(IsCanonicalBasisFullSCAlgebra)" : {"type" : "GAP_Tester","implied" : ["Te\
+ster(IsCanonicalBasisFullSCAlgebra)"]},"IsSCAlgebraObjSpace" : {"type" : "GAP_Filter","implied" : ["IsComponentObjectRep","IsAttribut\
+eStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsE\
+xtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(I\
+sNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd",\
+"IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWi\
+thZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","\
+IsSCAlgebraObjSpace"]},"Tester(IsomorphismFpFLMLOR)" : {"type" : "GAP_Attribute","implied" : ["Tester(IsomorphismFpFLMLOR)"]},"Tester\
+(IsomorphismMatrixFLMLOR)" : {"type" : "GAP_Attribute","implied" : ["Tester(IsomorphismMatrixFLMLOR)"]},"Tester(IsomorphismSCFLMLOR)"\
+ : {"type" : "GAP_Attribute","implied" : ["Tester(IsomorphismSCFLMLOR)"]},"IsLieObject" : {"type" : "GAP_Category","implied" : ["IsEx\
+tAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElem\
+ent","IsExtRElement","IsMultiplicativeElement","IsJacobianElement","IsZeroSquaredElement","IsLieObject"]},"CategoryCollections(IsLieO\
+bject)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElemen\
+t)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAddi\
+tiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement\
+","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsJacobianElement)","Categ\
+oryCollections(IsZeroSquaredElement)","CategoryCollections(IsLieObject)"]},"CategoryCollections((IsLieObject and IsRestrictedJacobian\
+Element))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAEle\
+ment)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearA\
+dditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElem\
+ent","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsJacobianElement)","Ca\
+tegoryCollections(IsRestrictedJacobianElement)","CategoryCollections(IsZeroSquaredElement)","CategoryCollections(IsLieObject)","Categ\
+oryCollections((IsLieObject and IsRestrictedJacobianElement))"]},"Tester(LieFamily)" : {"type" : "GAP_Attribute","implied" : ["Tester\
+(LieFamily)"]},"Tester(UnderlyingFamily)" : {"type" : "GAP_Attribute","implied" : ["Tester(UnderlyingFamily)"]},"Tester(LieObject)" :\
+ {"type" : "GAP_Attribute","implied" : ["Tester(LieObject)"]},"Tester(UnderlyingRingElement)" : {"type" : "GAP_Attribute","implied" :\
+ ["Tester(UnderlyingRingElement)"]},"IsLieObjectsModule" : {"type" : "GAP_Filter","implied" : ["IsComponentObjectRep","IsAttributeSto\
+ringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAE\
+lement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNea\
+rAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsD\
+istributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZe\
+ro","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","IsLi\
+eObjectsModule"]},"IsAlgebraModuleElement" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdd\
+itiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsAlgebraModuleElement"\
+]},"CategoryCollections(IsAlgebraModuleElement)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAE\
+lement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementW\
+ithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryC\
+ollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsAlgebraModuleElement)"]},"Cate\
+goryFamily(IsAlgebraModuleElement)" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily(IsAlgebraModuleElement)"]},"Is\
+LeftAlgebraModuleElement" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZ\
+ero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsAlgebraModuleElement","IsLeftAlgebraMo\
+duleElement"]},"CategoryCollections(IsLeftAlgebraModuleElement)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsColl\
+ection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNear\
+AdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLEle\
+ment","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsAlgebraModuleE\
+lement)","CategoryCollections(IsLeftAlgebraModuleElement)"]},"IsRightAlgebraModuleElement" : {"type" : "GAP_Category","implied" : ["I\
+sExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLE\
+lement","IsExtRElement","IsAlgebraModuleElement","IsRightAlgebraModuleElement"]},"CategoryCollections(IsRightAlgebraModuleElement)" :\
+ {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","Cate\
+goryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveEleme\
+ntWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","Catego\
+ryCollections(IsExtRElement)","CategoryCollections(IsAlgebraModuleElement)","CategoryCollections(IsRightAlgebraModuleElement)"]},"Tes\
+ter(IsAlgebraModule)" : {"type" : "GAP_Tester","implied" : ["Tester(IsAlgebraModule)"]},"Tester(IsLeftAlgebraModule)" : {"type" : "GA\
+P_Tester","implied" : ["Tester(IsLeftAlgebraModule)"]},"Tester(IsRightAlgebraModule)" : {"type" : "GAP_Tester","implied" : ["Tester(I\
+sRightAlgebraModule)"]},"Tester(LeftActingAlgebra)" : {"type" : "GAP_Attribute","implied" : ["Tester(LeftActingAlgebra)"]},"Tester(Ri\
+ghtActingAlgebra)" : {"type" : "GAP_Attribute","implied" : ["Tester(RightActingAlgebra)"]},"Tester(GeneratorsOfAlgebraModule)" : {"ty\
+pe" : "GAP_Attribute","implied" : ["Tester(GeneratorsOfAlgebraModule)"]},"IsBasisOfAlgebraModuleElementSpace" : {"type" : "GAP_Catego\
+ry","implied" : ["IsList","IsDenseList","IsHomogeneousList","IsListOrCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsBasis\
+","IsBasisOfAlgebraModuleElementSpace"]},"Tester(AdjointModule)" : {"type" : "GAP_Attribute","implied" : ["Tester(AdjointModule)"]},"\
+Tester(FaithfulModule)" : {"type" : "GAP_Attribute","implied" : ["Tester(FaithfulModule)"]},"IsMonomialElement" : {"type" : "GAP_Cate\
+gory","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAddi\
+tiveElement","IsExtLElement","IsExtRElement","IsMonomialElement"]},"CategoryCollections(IsMonomialElement)" : {"type" : "GAP_Category\
+","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAd\
+ditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","Categor\
+yCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElem\
+ent)","CategoryCollections(IsMonomialElement)"]},"CategoryFamily(IsMonomialElement)" : {"type" : "GAP_Category","implied" : ["IsFamil\
+y","CategoryFamily(IsMonomialElement)"]},"IsTensorElement" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveEle\
+ment","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMonom\
+ialElement","IsTensorElement"]},"CategoryCollections(IsTensorElement)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","\
+IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(\
+IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsE\
+xtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMonomial\
+Element)","CategoryCollections(IsTensorElement)"]},"IsWedgeElement" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAd\
+ditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement"\
+,"IsMonomialElement","IsWedgeElement"]},"CategoryCollections(IsWedgeElement)" : {"type" : "GAP_Category","implied" : ["IsListOrCollec\
+tion","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryColle\
+ctions(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement\
+)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsM\
+onomialElement)","CategoryCollections(IsWedgeElement)"]},"IsSymmetricPowerElement" : {"type" : "GAP_Category","implied" : ["IsExtAEle\
+ment","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement",\
+"IsExtRElement","IsMonomialElement","IsSymmetricPowerElement"]},"CategoryCollections(IsSymmetricPowerElement)" : {"type" : "GAP_Categ\
+ory","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNea\
+rAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","Cate\
+goryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRE\
+lement)","CategoryCollections(IsMonomialElement)","CategoryCollections(IsSymmetricPowerElement)"]},"IsDirectSumElement" : {"type" : "\
+GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse"\
+,"IsAdditiveElement","IsExtLElement","IsExtRElement","IsDirectSumElement"]},"CategoryCollections(IsDirectSumElement)" : {"type" : "GA\
+P_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollection\
+s(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)\
+","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(\
+IsExtRElement)","CategoryCollections(IsDirectSumElement)"]},"CategoryFamily(IsDirectSumElement)" : {"type" : "GAP_Category","implied"\
+ : ["IsFamily","CategoryFamily(IsDirectSumElement)"]},"IsSparseRowSpaceElement" : {"type" : "GAP_Category","implied" : ["IsExtAElemen\
+t","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","Is\
+ExtRElement","IsSparseRowSpaceElement"]},"CategoryCollections(IsSparseRowSpaceElement)" : {"type" : "GAP_Category","implied" : ["IsLi\
+stOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","Cat\
+egoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAddit\
+iveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryColle\
+ctions(IsSparseRowSpaceElement)"]},"CategoryFamily(IsSparseRowSpaceElement)" : {"type" : "GAP_Category","implied" : ["IsFamily","Cate\
+goryFamily(IsSparseRowSpaceElement)"]},"IsDirectSumElementsSpace" : {"type" : "GAP_Filter","implied" : ["IsComponentObjectRep","IsAtt\
+ributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollection\
+s(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollecti\
+ons(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEP\
+rod","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMa\
+gmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBas\
+is","IsDirectSumElementsSpace"]},"IsCochain" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearA\
+dditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsCochain"]},"Categor\
+yCollections(IsCochain)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollect\
+ions(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryColle\
+ctions(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement\
+)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsCochain)"]},"Tester(IsWeylGroup)" : {"type" : "GAP_Tes\
+ter","implied" : ["Tester(IsWeylGroup)"]},"Tester(WeylGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(WeylGroup)"]},"Tester(\
+SparseCartanMatrix)" : {"type" : "GAP_Attribute","implied" : ["Tester(SparseCartanMatrix)"]},"Tester(LongestWeylWordPerm)" : {"type" \
+: "GAP_Attribute","implied" : ["Tester(LongestWeylWordPerm)"]},"Tester(PositiveRootsAsWeights)" : {"type" : "GAP_Attribute","implied"\
+ : ["Tester(PositiveRootsAsWeights)"]},"IsUEALatticeElement" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveE\
+lement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMul\
+tiplicativeElement","IsMultiplicativeElementWithOne","IsUEALatticeElement"]},"CategoryCollections(IsUEALatticeElement)" : {"type" : "\
+GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollecti\
+ons(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInvers\
+e)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollection\
+s(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryColle\
+ctions(IsUEALatticeElement)"]},"CategoryFamily(IsUEALatticeElement)" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFami\
+ly((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditive\
+Element) and IsMultiplicativeElement))","CategoryFamily(IsUEALatticeElement)"]},"Tester(LatticeGeneratorsInUEA)" : {"type" : "GAP_Att\
+ribute","implied" : ["Tester(LatticeGeneratorsInUEA)"]},"IsWeightRepElement" : {"type" : "GAP_Category","implied" : ["IsExtAElement",\
+"IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExt\
+RElement","IsWeightRepElement"]},"CategoryCollections(IsWeightRepElement)" : {"type" : "GAP_Category","implied" : ["IsListOrCollectio\
+n","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollecti\
+ons(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)",\
+"IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsWeig\
+htRepElement)"]},"CategoryFamily(IsWeightRepElement)" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily(IsWeightRepE\
+lement)"]},"IsBasisOfWeightRepElementSpace" : {"type" : "GAP_Category","implied" : ["IsList","IsDenseList","IsHomogeneousList","IsLis\
+tOrCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsBasis","IsBasisOfWeightRepElementSpace"]},"IsCochainsSpace" : {"type" :\
+ "GAP_Filter","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Test\
+er(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryColle\
+ctions(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement\
+)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLe\
+ftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditi\
+velyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","IsCochainsSpace"]},"IsSearchTable" : {"type" : "GAP_Category","implied" \
+: ["IsSearchTable"]},"IsVectorSearchTable" : {"type" : "GAP_Category","implied" : ["IsSearchTable","IsVectorSearchTable"]},"IsInteger\
+s" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAEle\
+ment","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWit\
+hZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCol\
+lections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","Categor\
+yCollections(IsMultiplicativeElementWithOne)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDi\
+stributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","Tester(Multiplicative\
+NeutralElement)","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditi\
+velyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsUniqueFactorizationRing"\
+,"IsEuclideanRing","IsFreeLeftModule","IsIntegers"]},"IsPositiveIntegers" : {"type" : "GAP_Category","implied" : ["IsListOrCollection\
+","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollection\
+s(IsNearAdditiveElement)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElemen\
+t","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWi\
+thOne)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","Tester(MultiplicativeNeutralElement)","IsNearAdditiveMagma","IsAdditivelyCo\
+mmutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)",\
+"IsPositiveIntegers"]},"IsNonnegativeIntegers" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplica\
+teFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","\
+CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsE\
+xtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections\
+(IsMultiplicativeElementWithOne)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","Tester(MultiplicativeNeutralElement)","IsNearAddi\
+tiveMagma","IsNearAdditiveMagmaWithZero","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDis\
+tributive)","IsRDistributive","Tester(IsRDistributive)","IsNonnegativeIntegers"]},"IsGaussianIntegers" : {"type" : "GAP_Category","im\
+plied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtA\
+Element)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNe\
+arAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRE\
+lement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElem\
+entWithOne)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiv\
+eLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsMagma","IsMagmaWithOne","Tester(MultiplicativeNeutralElement)","IsNearAdditiveM\
+agma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributiv\
+e","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsUniqueFactorizationRing","IsEuclideanRing","IsFreeLeftMod\
+ule","IsFiniteDimensional","Tester(IsFiniteDimensional)","IsGaussianIntegers"]},"Tester(PrimeDivisors)" : {"type" : "GAP_Attribute","\
+implied" : ["Tester(PrimeDivisors)"]},"IsSCRingObj" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","\
+IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicati\
+veElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsSCRingObj"]},"CategoryCollections(IsSCRingObj)" :\
+ {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","Cate\
+goryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveEleme\
+ntWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","Catego\
+ryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","C\
+ategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsSCRingObj)"]},"CategoryCollections(CategoryCollections\
+(IsSCRingObj))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsEx\
+tAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement)\
+)","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveE\
+lementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement\
+)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollection\
+s(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(Categ\
+oryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","Cate\
+goryCollections(CategoryCollections(IsSCRingObj))"]},"CategoryCollections(CategoryCollections(CategoryCollections(IsSCRingObj)))" : {\
+"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","Catego\
+ryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement\
+)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero)))","CategoryCollections(CategoryColl\
+ections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAddit\
+iveElement)))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtR\
+Element","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(Category\
+Collections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplica\
+tiveElementWithOne)))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse)))","CategoryC\
+ollections(CategoryCollections(CategoryCollections(IsSCRingObj)))"]},"CategoryFamily(IsSCRingObj)" : {"type" : "GAP_Category","implie\
+d" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveEle\
+mentWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsSCRingObj)"]},"Tester(StandardGeneratorsSubri\
+ngSCRing)" : {"type" : "GAP_Attribute","implied" : ["Tester(StandardGeneratorsSubringSCRing)"]},"Tester(Subrings)" : {"type" : "GAP_A\
+ttribute","implied" : ["Tester(Subrings)"]},"Tester(Ideals)" : {"type" : "GAP_Attribute","implied" : ["Tester(Ideals)"]},"Tester(Dire\
+ctSumInfo)" : {"type" : "GAP_Attribute","implied" : ["Tester(DirectSumInfo)"]},"IsPolynomialFunction" : {"type" : "GAP_Category","imp\
+lied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElemen\
+t","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","I\
+sZDFRE","IsPolynomialFunction"]},"IsRationalFunction" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement"\
+,"IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplica\
+tiveElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsPolynomialFunction","IsRationalFuncti\
+on"]},"CategoryCollections(IsPolynomialFunction)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtA\
+Element","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElement\
+WithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","Category\
+Collections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","Cate\
+goryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsZDF\
+RE)","CategoryCollections(IsPolynomialFunction)"]},"CategoryCollections(IsRationalFunction)" : {"type" : "GAP_Category","implied" : [\
+"IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)"\
+,"CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(Is\
+AdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","Category\
+Collections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElem\
+entWithInverse)","CategoryCollections(IsZDFRE)","CategoryCollections(IsPolynomialFunction)","CategoryCollections(IsRationalFunction)"\
+]},"IsPolynomialFunctionsFamilyElement" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditi\
+veElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","\
+IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsPolynomialFunction","IsPolynomialFunctionsFamilyEle\
+ment"]},"IsRationalFunctionsFamilyElement" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdd\
+itiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement\
+","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsPolynomialFunction","IsRationalFunction","IsPoly\
+nomialFunctionsFamilyElement","IsRationalFunctionsFamilyElement"]},"IsPolynomialFunctionsFamily" : {"type" : "GAP_Category","implied"\
+ : ["IsFamily","IsPolynomialFunctionsFamily"]},"IsRationalFunctionsFamily" : {"type" : "GAP_Category","implied" : ["IsFamily","IsUFDF\
+amily","Tester(IsUFDFamily)","IsPolynomialFunctionsFamily","IsRationalFunctionsFamily"]},"IsRationalFunctionOverField" : {"type" : "G\
+AP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse",\
+"IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeEleme\
+ntWithInverse","IsZDFRE","IsPolynomialFunction","IsRationalFunction","IsRationalFunctionOverField"]},"Tester(RationalFunctionsFamily)\
+" : {"type" : "GAP_Attribute","implied" : ["Tester(RationalFunctionsFamily)"]},"Tester(CoefficientsFamily)" : {"type" : "GAP_Attribut\
+e","implied" : ["Tester(CoefficientsFamily)"]},"Tester(NumeratorOfRationalFunction)" : {"type" : "GAP_Attribute","implied" : ["Tester\
+(NumeratorOfRationalFunction)"]},"Tester(DenominatorOfRationalFunction)" : {"type" : "GAP_Attribute","implied" : ["Tester(Denominator\
+OfRationalFunction)"]},"Tester(IsPolynomial)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPolynomial)"]},"Tester(AsPolynomial)" :\
+ {"type" : "GAP_Attribute","implied" : ["Tester(AsPolynomial)"]},"Tester(IsUnivariateRationalFunction)" : {"type" : "GAP_Tester","imp\
+lied" : ["Tester(IsUnivariateRationalFunction)"]},"Tester(IsLaurentPolynomial)" : {"type" : "GAP_Tester","implied" : ["Tester(IsLaure\
+ntPolynomial)"]},"Tester(IsConstantRationalFunction)" : {"type" : "GAP_Tester","implied" : ["Tester(IsConstantRationalFunction)"]},"I\
+sRationalFunctionDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtAElem\
+ent","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","\
+IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsPolynomia\
+lFunction","IsRationalFunction","IsRationalFunctionDefaultRep"]},"IsPolynomialDefaultRep" : {"type" : "GAP_Representation","implied" \
+: ["IsComponentObjectRep","IsAttributeStoringRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAddi\
+tiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne\
+","IsMultiplicativeElementWithInverse","IsZDFRE","IsPolynomialFunction","IsPolynomial","Tester(IsPolynomial)","IsPolynomialDefaultRep\
+"]},"IsLaurentPolynomialDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsE\
+xtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLEle\
+ment","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsPo\
+lynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)","IsLaurentPolynomial","Tester(IsLaurentPolyno\
+mial)","IsLaurentPolynomialDefaultRep"]},"IsUnivariateRationalFunctionDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsCo\
+mponentObjectRep","IsAttributeStoringRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElem\
+entWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMul\
+tiplicativeElementWithInverse","IsZDFRE","IsPolynomialFunction","IsUnivariateRationalFunction","Tester(IsUnivariateRationalFunction)"\
+,"IsUnivariateRationalFunctionDefaultRep"]},"Tester(ExtRepNumeratorRatFun)" : {"type" : "GAP_Attribute","implied" : ["Tester(ExtRepNu\
+meratorRatFun)"]},"Tester(ExtRepDenominatorRatFun)" : {"type" : "GAP_Attribute","implied" : ["Tester(ExtRepDenominatorRatFun)"]},"Tes\
+ter(ExtRepPolynomialRatFun)" : {"type" : "GAP_Attribute","implied" : ["Tester(ExtRepPolynomialRatFun)"]},"Tester(CoefficientsOfLauren\
+tPolynomial)" : {"type" : "GAP_Attribute","implied" : ["Tester(CoefficientsOfLaurentPolynomial)"]},"Tester(IndeterminateNumberOfUniva\
+riateRationalFunction)" : {"type" : "GAP_Attribute","implied" : ["Tester(IndeterminateNumberOfUnivariateRationalFunction)"]},"Tester(\
+IndeterminateOfUnivariateRationalFunction)" : {"type" : "GAP_Attribute","implied" : ["Tester(IndeterminateOfUnivariateRationalFunctio\
+n)"]},"Tester(CoefficientsOfUnivariatePolynomial)" : {"type" : "GAP_Attribute","implied" : ["Tester(CoefficientsOfUnivariatePolynomia\
+l)"]},"Tester(DegreeOfLaurentPolynomial)" : {"type" : "GAP_Attribute","implied" : ["Tester(DegreeOfLaurentPolynomial)"]},"Tester(Coef\
+ficientsOfUnivariateRationalFunction)" : {"type" : "GAP_Attribute","implied" : ["Tester(CoefficientsOfUnivariateRationalFunction)"]},\
+"Tester(Derivative)" : {"type" : "GAP_Attribute","implied" : ["Tester(Derivative)"]},"Tester(Discriminant)" : {"type" : "GAP_Attribut\
+e","implied" : ["Tester(Discriminant)"]},"IsLaurentPolynomialsFamilyElement" : {"type" : "GAP_Category","implied" : ["IsExtAElement",\
+"IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExt\
+RElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsPolynomialFunc\
+tion","IsRationalFunction","IsLaurentPolynomialsFamilyElement"]},"IsUnivariatePolynomialsFamilyElement" : {"type" : "GAP_Category","i\
+mplied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElem\
+ent","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse",\
+"IsZDFRE","IsPolynomialFunction","IsRationalFunction","IsUnivariatePolynomialsFamilyElement"]},"IsLaurentPolynomialsFamily" : {"type"\
+ : "GAP_Category","implied" : ["IsFamily","Tester(OneImmutable)","IsCommutativeFamily","Tester(IsCommutativeFamily)","IsLaurentPolyno\
+mialsFamily"]},"IsUnivariatePolynomialsFamily" : {"type" : "GAP_Category","implied" : ["IsFamily","IsUnivariatePolynomialsFamily"]},"\
+Tester(PrimeField)" : {"type" : "GAP_Attribute","implied" : ["Tester(PrimeField)"]},"Tester(IsPrimeField)" : {"type" : "GAP_Tester","\
+implied" : ["Tester(IsPrimeField)"]},"Tester(DefiningPolynomial)" : {"type" : "GAP_Attribute","implied" : ["Tester(DefiningPolynomial\
+)"]},"Tester(DegreeOverPrimeField)" : {"type" : "GAP_Attribute","implied" : ["Tester(DegreeOverPrimeField)"]},"Tester(GeneratorsOfDiv\
+isionRing)" : {"type" : "GAP_Attribute","implied" : ["Tester(GeneratorsOfDivisionRing)"]},"Tester(NormalBase)" : {"type" : "GAP_Attri\
+bute","implied" : ["Tester(NormalBase)"]},"Tester(PrimitiveElement)" : {"type" : "GAP_Attribute","implied" : ["Tester(PrimitiveElemen\
+t)"]},"Tester(PrimitiveRoot)" : {"type" : "GAP_Attribute","implied" : ["Tester(PrimitiveRoot)"]},"Tester(RootOfDefiningPolynomial)" :\
+ {"type" : "GAP_Attribute","implied" : ["Tester(RootOfDefiningPolynomial)"]},"Tester(Subfields)" : {"type" : "GAP_Attribute","implied\
+" : ["Tester(Subfields)"]},"IsFieldControlledByGaloisGroup" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollectio\
+n","IsNonTrivial","Tester(IsNonTrivial)","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAEleme\
+nt)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdd\
+itiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElemen\
+t","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWi\
+thOne)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpE\
+Sum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaW\
+ithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","Tester(Multip\
+licativeNeutralElement)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsN\
+earAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistrib\
+utive","Tester(IsRDistributive)","IsUniqueFactorizationRing","IsEuclideanRing","IsIntegralRing","Tester(IsIntegralRing)","IsFreeLeftM\
+odule","IsFieldControlledByGaloisGroup"]},"Tester(Conjugates)" : {"type" : "GAP_Attribute","implied" : ["Tester(Conjugates)"]},"Teste\
+r(Norm)" : {"type" : "GAP_Attribute","implied" : ["Tester(Norm)"]},"Tester(Trace)" : {"type" : "GAP_Attribute","implied" : ["Tester(T\
+race)"]},"Tester(GaloisGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(GaloisGroup)"]},"Tester(ComplexConjugate)" : {"type" \
+: "GAP_Attribute","implied" : ["Tester(ComplexConjugate)"]},"Tester(RealPart)" : {"type" : "GAP_Attribute","implied" : ["Tester(RealP\
+art)"]},"Tester(ImaginaryPart)" : {"type" : "GAP_Attribute","implied" : ["Tester(ImaginaryPart)"]},"Tester(FrobeniusAutomorphism)" : \
+{"type" : "GAP_Attribute","implied" : ["Tester(FrobeniusAutomorphism)"]},"IsFieldElementsSpace" : {"type" : "GAP_Filter","implied" : \
+["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsEx\
+tAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveEleme\
+ntWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","\
+IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAd\
+ditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeL\
+eftModule","IsHandledByNiceBasis","IsFieldElementsSpace"]},"IsZmodnZObj" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsN\
+earAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtREle\
+ment","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsAddit\
+ivelyCommutativeElement","IsCommutativeElement","IsZmodnZObj"]},"IsZmodnZObjNonprime" : {"type" : "GAP_Category","implied" : ["IsExtA\
+Element","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElemen\
+t","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElem\
+ent","IsAdditivelyCommutativeElement","IsCommutativeElement","IsZmodnZObj","IsZmodnZObjNonprime"]},"CategoryFamily(IsZmodnZObjNonprim\
+e)" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement)\
+)","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsAdditiv\
+elyCommutativeElement)","CategoryFamily(IsZmodnZObjNonprime)"]},"CategoryCollections(IsZmodnZObjNonprime)" : {"type" : "GAP_Category"\
+,"implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdd\
+itiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","Category\
+Collections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtREleme\
+nt)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMult\
+iplicativeElementWithInverse)","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsAdditivelyCommutativeElement)","Cat\
+egoryCollections(IsCommutativeElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsZmodnZObjN\
+onprime)"]},"CategoryCollections(CategoryCollections(IsZmodnZObjNonprime))" : {"type" : "GAP_Category","implied" : ["IsListOrCollecti\
+on","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","Ca\
+tegoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero\
+))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveE\
+lement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtREleme\
+nt","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryColle\
+ctions(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(Cat\
+egoryCollections(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsAssociativeElement))","CategoryColl\
+ections(CategoryCollections(IsAdditivelyCommutativeElement))","CategoryCollections(CategoryCollections(IsCommutativeElement))","IsGen\
+eratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(CategoryCollections(IsZmodnZObjNonprime))"]},"CategoryColl\
+ections(CategoryCollections(CategoryCollections(IsZmodnZObjNonprime)))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection",\
+"IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","Catego\
+ryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryColl\
+ections(IsNearAdditiveElementWithZero)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInver\
+se)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAdditiveElement)))","IsExtLElement","CategoryCollections(IsExtL\
+Element)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCol\
+lections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))\
+","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))","CategoryCollections(CategoryCollec\
+tions(CategoryCollections(IsMultiplicativeElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsZmodn\
+ZObjNonprime)))"]},"Tester(ModulusOfZmodnZObj)" : {"type" : "GAP_Attribute","implied" : ["Tester(ModulusOfZmodnZObj)"]},"IsZmodnZepsO\
+bj" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveEl\
+ementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsM\
+ultiplicativeElementWithInverse","IsZmodnZepsObj"]},"CategoryCollections(IsZmodnZepsObj)" : {"type" : "GAP_Category","implied" : ["Is\
+ListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","C\
+ategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdd\
+itiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCol\
+lections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElement\
+WithInverse)","CategoryCollections(IsZmodnZepsObj)"]},"IsZmodnZepsRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObj\
+ectRep","IsZmodnZepsRep"]},"Tester(Cyclotomic)" : {"type" : "GAP_Attribute","implied" : ["Tester(Cyclotomic)"]},"Tester(IsRingOfInteg\
+ralCyclotomics)" : {"type" : "GAP_Attribute","implied" : ["Tester(IsRingOfIntegralCyclotomics)"]},"Tester(GaloisMat)" : {"type" : "GA\
+P_Attribute","implied" : ["Tester(GaloisMat)"]},"Tester(RationalizedMat)" : {"type" : "GAP_Attribute","implied" : ["Tester(Rationaliz\
+edMat)"]},"Tester(IsNumberField)" : {"type" : "GAP_Tester","implied" : ["Tester(IsNumberField)"]},"Tester(IsAbelianNumberField)" : {"\
+type" : "GAP_Tester","implied" : ["Tester(IsAbelianNumberField)"]},"Tester(IsCyclotomicField)" : {"type" : "GAP_Tester","implied" : [\
+"Tester(IsCyclotomicField)"]},"Tester(GaloisStabilizer)" : {"type" : "GAP_Attribute","implied" : ["Tester(GaloisStabilizer)"]},"IsGau\
+ssianRationals" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsNonTrivial","Tester(IsNonTrivial)","Is\
+DuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElem\
+ent)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollectio\
+ns(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","Cat\
+egoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativ\
+eElementWithInverse)","CategoryCollections(IsZDFRE)","CategoryCollections(IsAssociativeElement)","CategoryCollections(IsAdditivelyCom\
+mutativeElement)","CategoryCollections(IsCommutativeElement)","IsGeneralizedDomain","CategoryCollections(IsCyclotomic)","IsExtLSet","\
+IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRin\
+g","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsA\
+ssociative","Tester(IsAssociative)","IsCommutative","Tester(IsCommutative)","Tester(MultiplicativeNeutralElement)","IsGeneratorsOfSem\
+igroup","Tester(IsGeneratorsOfSemigroup)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsNearAdditiveMagma","IsNearAdditiveMa\
+gmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistribut\
+ive)","IsRDistributive","Tester(IsRDistributive)","IsUniqueFactorizationRing","IsEuclideanRing","IsIntegralRing","Tester(IsIntegralRi\
+ng)","IsFreeLeftModule","IsGaussianRationals"]},"Tester(ExponentOfPowering)" : {"type" : "GAP_Attribute","implied" : ["Tester(Exponen\
+tOfPowering)"]},"IsPadicNumber" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElemen\
+tWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultip\
+licativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsCommutativeElement","IsPadicNumber"]},"Categor\
+yCollections(IsPadicNumber)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCol\
+lections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryC\
+ollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLEle\
+ment)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMul\
+tiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsAssociativeElement)","Ca\
+tegoryCollections(IsCommutativeElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsPadicNumb\
+er)"]},"CategoryCollections(CategoryCollections(IsPadicNumber))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsColl\
+ection","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryColle\
+ctions(CategoryCollections(IsNearAdditiveElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithZero))","Catego\
+ryCollections(CategoryCollections(IsNearAdditiveElementWithInverse))","CategoryCollections(CategoryCollections(IsAdditiveElement))","\
+IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","Catego\
+ryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMu\
+ltiplicativeElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithOne))","CategoryCollections(CategoryCollec\
+tions(IsMultiplicativeElementWithInverse))","CategoryCollections(CategoryCollections(IsAssociativeElement))","CategoryCollections(Cat\
+egoryCollections(IsCommutativeElement))","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(CategoryCol\
+lections(IsPadicNumber))"]},"CategoryFamily(IsPadicNumber)" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily((IsNea\
+rAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) \
+and IsMultiplicativeElement))","CategoryFamily(IsPadicNumber)"]},"IsPurePadicNumber" : {"type" : "GAP_Category","implied" : ["IsExtAE\
+lement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement\
+","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeEleme\
+nt","IsCommutativeElement","IsPadicNumber","IsPurePadicNumber"]},"CategoryFamily(IsPurePadicNumber)" : {"type" : "GAP_Category","impl\
+ied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveE\
+lementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","CategoryFamily(IsPadicNumber)","CategoryFamily(IsPurePadicNu\
+mber)"]},"IsPadicExtensionNumber" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElem\
+entWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMult\
+iplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsCommutativeElement","IsPadicNumber","IsPadic\
+ExtensionNumber"]},"CategoryFamily(IsPadicExtensionNumber)" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily((IsNea\
+rAdditiveElementWithInverse and IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) \
+and IsMultiplicativeElement))","CategoryFamily(IsPadicNumber)","CategoryFamily(IsPadicExtensionNumber)"]},"IsPolynomialRing" : {"type\
+" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","Cate\
+goryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","Ca\
+tegoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(Is\
+ExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomai\
+n","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditively\
+Commutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsPolynomialRing"]},"IsFunctio\
+nField" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsEx\
+tAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveEleme\
+ntWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","Catego\
+ryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","Is\
+GeneralizedDomain","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tes\
+ter(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFunctionFiel\
+d"]},"IsUnivariatePolynomialRing" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Test\
+er(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryColle\
+ctions(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement\
+)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsM\
+ultiplicativeElement)","IsGeneralizedDomain","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsA\
+dditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDist\
+ributive)","IsPolynomialRing","IsUnivariatePolynomialRing"]},"IsFiniteFieldPolynomialRing" : {"type" : "GAP_Category","implied" : ["I\
+sListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","C\
+ategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveEl\
+ementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","Cat\
+egoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsMagma","IsNearAdditiveMagma"\
+,"IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive","T\
+ester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsPolynomialRing","IsFiniteFieldPolynomialRing"]},"IsAbelianNumb\
+erFieldPolynomialRing" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplic\
+ateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNe\
+arAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLE\
+lement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicati\
+veElement)","IsGeneralizedDomain","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCo\
+mmutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)",\
+"IsPolynomialRing","IsAbelianNumberFieldPolynomialRing"]},"IsAlgebraicExtensionPolynomialRing" : {"type" : "GAP_Category","implied" :\
+ ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)\
+","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditi\
+veElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement",\
+"CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsMagma","IsNearAdditiveMa\
+gma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive\
+","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsPolynomialRing","IsAlgebraicExtensionPolynomialRing"]},"Is\
+RationalsPolynomialRing" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDupl\
+icateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(Is\
+NearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExt\
+LElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplica\
+tiveElement)","IsGeneralizedDomain","IsMagma","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditively\
+Commutative","Tester(IsAdditivelyCommutative)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)\
+","IsPolynomialRing","IsAbelianNumberFieldPolynomialRing","IsRationalsPolynomialRing"]},"Tester(CoefficientsRing)" : {"type" : "GAP_A\
+ttribute","implied" : ["Tester(CoefficientsRing)"]},"Tester(IndeterminatesOfPolynomialRing)" : {"type" : "GAP_Attribute","implied" : \
+["Tester(IndeterminatesOfPolynomialRing)"]},"Tester(SplittingField)" : {"type" : "GAP_Attribute","implied" : ["Tester(SplittingField)\
+"]},"Tester(IrrFacsPol)" : {"type" : "GAP_Attribute","implied" : ["Tester(IrrFacsPol)"]},"Tester(MinimizedBombieriNorm)" : {"type" : \
+"GAP_Attribute","implied" : ["Tester(MinimizedBombieriNorm)"]},"IsAlgebraicElement" : {"type" : "GAP_Category","implied" : ["IsExtAEl\
+ement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement"\
+,"IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssocia\
+tiveElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsAlgebraicElement"]},"CategoryCollections(IsAlgebraicElement)"\
+ : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","Ca\
+tegoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveEle\
+mentWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","Cate\
+goryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)",\
+"CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsZDFRE)","CategoryCollections(IsAssociativeElement)",\
+"CategoryCollections(IsAdditivelyCommutativeElement)","CategoryCollections(IsCommutativeElement)","IsGeneratorsOfSemigroup","Tester(I\
+sGeneratorsOfSemigroup)","CategoryCollections(IsAlgebraicElement)"]},"CategoryCollections(CategoryCollections(IsAlgebraicElement))" :\
+ {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAElement","CategoryCollections(IsExtAElement)","Cate\
+goryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","CategoryColle\
+ctions(CategoryCollections(IsNearAdditiveElementWithZero))","CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse\
+))","CategoryCollections(CategoryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryColle\
+ctions(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollect\
+ions(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","CategoryCollections(CategoryCollections(Is\
+MultiplicativeElementWithOne))","CategoryCollections(CategoryCollections(IsMultiplicativeElementWithInverse))","CategoryCollections(C\
+ategoryCollections(IsZDFRE))","CategoryCollections(CategoryCollections(IsAssociativeElement))","CategoryCollections(CategoryCollectio\
+ns(IsAdditivelyCommutativeElement))","CategoryCollections(CategoryCollections(IsCommutativeElement))","IsGeneratorsOfSemigroup","Test\
+er(IsGeneratorsOfSemigroup)","CategoryCollections(CategoryCollections(IsAlgebraicElement))"]},"CategoryCollections(CategoryCollection\
+s(CategoryCollections(IsAlgebraicElement)))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtAEleme\
+nt","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","CategoryCollections(CategoryColle\
+ctions(CategoryCollections(IsNearAdditiveElement)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveEleme\
+ntWithZero)))","CategoryCollections(CategoryCollections(CategoryCollections(IsNearAdditiveElementWithInverse)))","CategoryCollections\
+(CategoryCollections(CategoryCollections(IsAdditiveElement)))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollecti\
+ons(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollection\
+s(IsExtRElement))","CategoryCollections(CategoryCollections(CategoryCollections(IsMultiplicativeElement)))","CategoryCollections(Cate\
+goryCollections(CategoryCollections(IsMultiplicativeElementWithOne)))","CategoryCollections(CategoryCollections(CategoryCollections(I\
+sMultiplicativeElementWithInverse)))","CategoryCollections(CategoryCollections(CategoryCollections(IsAlgebraicElement)))"]},"Category\
+Family(IsAlgebraicElement)" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily((IsNearAdditiveElementWithInverse and \
+IsMultiplicativeElement))","CategoryFamily(((IsNearAdditiveElementWithInverse and IsAdditiveElement) and IsMultiplicativeElement))","\
+CategoryFamily(IsAdditivelyCommutativeElement)","CategoryFamily(IsAlgebraicElement)"]},"IsAlgebraicExtension" : {"type" : "GAP_Catego\
+ry","implied" : ["IsListOrCollection","IsCollection","IsNonTrivial","Tester(IsNonTrivial)","IsDuplicateFree","Tester(IsDuplicateFree)\
+","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditi\
+veElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement",\
+"CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElemen\
+t)","CategoryCollections(IsMultiplicativeElementWithOne)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOp\
+EProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester\
+(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociative)","IsC\
+ommutative","Tester(IsCommutative)","Tester(MultiplicativeNeutralElement)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsNea\
+rAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLD\
+istributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsUniqueFactorizationRing","IsEuclideanRing","IsI\
+ntegralRing","Tester(IsIntegralRing)","IsFreeLeftModule","IsAlgebraicExtension"]},"Tester(AlgebraicElementsFamilies)" : {"type" : "GA\
+P_Attribute","implied" : ["Tester(AlgebraicElementsFamilies)"]},"Tester(DefectApproximation)" : {"type" : "GAP_Attribute","implied" :\
+ ["Tester(DefectApproximation)"]},"IsUnknown" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNear\
+AdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElem\
+ent","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeE\
+lement","IsCommutativeElement","IsCyclotomic","IsUnknown"]},"IsWord" : {"type" : "GAP_Category","implied" : ["IsExtLElement","IsExtRE\
+lement","IsMultiplicativeElement","IsWord"]},"CategoryCollections(IsWord)" : {"type" : "GAP_Category","implied" : ["IsListOrCollectio\
+n","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","Category\
+Collections(IsMultiplicativeElement)","CategoryCollections(IsWord)"]},"IsNonassocWord" : {"type" : "GAP_Category","implied" : ["IsExt\
+LElement","IsExtRElement","IsMultiplicativeElement","IsWord","IsNonassocWord"]},"CategoryCollections(IsNonassocWord)" : {"type" : "GA\
+P_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","Ca\
+tegoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsWord)","CategoryCollections(I\
+sNonassocWord)"]},"CategoryCollections((IsNonassocWord and (IsWord and IsMultiplicativeElementWithOne)))" : {"type" : "GAP_Category",\
+"implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollec\
+tions(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryC\
+ollections(IsWord)","CategoryCollections(IsNonassocWord)","CategoryCollections((IsNonassocWord and (IsWord and IsMultiplicativeElemen\
+tWithOne)))"]},"CategoryFamily(IsNonassocWord)" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily(IsNonassocWord)"]}\
+,"CategoryFamily((IsNonassocWord and (IsWord and IsMultiplicativeElementWithOne)))" : {"type" : "GAP_Category","implied" : ["IsFamily\
+","CategoryFamily(IsNonassocWord)","CategoryFamily((IsNonassocWord and (IsWord and IsMultiplicativeElementWithOne)))"]},"CategoryColl\
+ections((IsWord and IsAssociativeElement))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElemen\
+t","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeEle\
+ment)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(I\
+sWord)","CategoryCollections((IsWord and IsAssociativeElement))"]},"CategoryCollections(((IsWord and IsAssociativeElement) and (IsWor\
+d and IsMultiplicativeElementWithOne)))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement",\
+"CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElemen\
+t)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfSemigroup","Test\
+er(IsGeneratorsOfSemigroup)","CategoryCollections(IsWord)","CategoryCollections((IsWord and IsAssociativeElement))","CategoryCollecti\
+ons(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))"]},"CategoryCollections(((IsWord and IsAssoc\
+iativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","I\
+sCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryColle\
+ctions(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWi\
+thInverse)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfMagmaWithInverses","Tester(IsGeneratorsOfMagmaWithInverses)","\
+IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsWord)","CategoryCollections((IsWord and IsAssociati\
+veElement))","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))","CategoryColl\
+ections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))"]},"CategoryFamily((IsWord and IsAss\
+ociativeElement))" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))"]},"Category\
+Family(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))" : {"type" : "GAP_Category","implied" : [\
+"IsFamily","CategoryFamily((IsWord and IsAssociativeElement))","CategoryFamily(((IsWord and IsAssociativeElement) and (IsWord and IsM\
+ultiplicativeElementWithOne)))"]},"CategoryFamily(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInver\
+se)))" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))","CategoryFamily(((IsWor\
+d and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithOne)))","CategoryFamily(((IsWord and IsAssociativeElement) and\
+ (IsWord and IsMultiplicativeElementWithInverse)))"]},"IsSyllableWordsFamily" : {"type" : "GAP_Category","implied" : ["IsFamily","Cat\
+egoryFamily((IsWord and IsAssociativeElement))","IsSyllableWordsFamily"]},"Is8BitsFamily" : {"type" : "GAP_Category","implied" : ["Is\
+Family","CategoryFamily((IsWord and IsAssociativeElement))","IsSyllableWordsFamily","Is8BitsFamily"]},"Is16BitsFamily" : {"type" : "G\
+AP_Category","implied" : ["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))","IsSyllableWordsFamily","Is16BitsFamily"]},"\
+Is32BitsFamily" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))","IsSyllableWor\
+dsFamily","Is32BitsFamily"]},"IsInfBitsFamily" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily((IsWord and IsAssoc\
+iativeElement))","IsSyllableWordsFamily","IsInfBitsFamily"]},"IsSyllableAssocWordRep" : {"type" : "GAP_Representation","implied" : ["\
+IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAssociativeElement","IsWord","IsSyllableAssocWordRep"]},"IsLetterAssocWor\
+dRep" : {"type" : "GAP_Representation","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAssociativeElement",\
+"IsWord","IsLetterAssocWordRep"]},"IsBLetterAssocWordRep" : {"type" : "GAP_Representation","implied" : ["IsExtLElement","IsExtRElemen\
+t","IsMultiplicativeElement","IsAssociativeElement","IsWord","IsLetterAssocWordRep","IsBLetterAssocWordRep"]},"IsWLetterAssocWordRep"\
+ : {"type" : "GAP_Representation","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAssociativeElement","IsWo\
+rd","IsLetterAssocWordRep","IsWLetterAssocWordRep"]},"IsLetterWordsFamily" : {"type" : "GAP_Category","implied" : ["IsFamily","Catego\
+ryFamily((IsWord and IsAssociativeElement))","IsLetterWordsFamily"]},"IsBLetterWordsFamily" : {"type" : "GAP_Category","implied" : ["\
+IsFamily","CategoryFamily((IsWord and IsAssociativeElement))","IsLetterWordsFamily","IsBLetterWordsFamily"]},"IsWLetterWordsFamily" :\
+ {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily((IsWord and IsAssociativeElement))","IsLetterWordsFamily","IsWLette\
+rWordsFamily"]},"Tester(IsFreeSemigroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsFreeSemigroup)"]},"Tester(IsFreeMonoid)" : \
+{"type" : "GAP_Tester","implied" : ["Tester(IsFreeMonoid)"]},"Tester(NumberSyllables)" : {"type" : "GAP_Attribute","implied" : ["Test\
+er(NumberSyllables)"]},"Tester(BaseDomain)" : {"type" : "GAP_Attribute","implied" : ["Tester(BaseDomain)"]},"Tester(RowLength)" : {"t\
+ype" : "GAP_Attribute","implied" : ["Tester(RowLength)"]},"IsPlistVectorRep" : {"type" : "GAP_Representation","implied" : ["IsCopyabl\
+e","IsPositionalObjectRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse"\
+,"IsAdditiveElement","IsExtLElement","IsExtRElement","IsRowVectorObj","IsPlistVectorRep"]},"IsPlistMatrixRep" : {"type" : "GAP_Repres\
+entation","implied" : ["IsCopyable","IsPositionalObjectRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","\
+IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElem\
+entWithOne","IsMultiplicativeElementWithInverse","IsMatrixObj","IsRowListMatrix","IsPlistMatrixRep"]},"IsIntVector" : {"type" : "GAP_\
+Filter","implied" : ["IsIntVector"]},"IsFFEVector" : {"type" : "GAP_Filter","implied" : ["IsFFEVector"]},"IsCheckingVector" : {"type"\
+ : "GAP_Filter","implied" : ["IsCheckingVector"]},"IsCheckingMatrix" : {"type" : "GAP_Filter","implied" : ["IsCheckingMatrix"]},"IsRe\
+writingSystem" : {"type" : "GAP_Category","implied" : ["IsCopyable","IsRewritingSystem"]},"IsReducedConfluentRewritingSystem" : {"typ\
+e" : "GAP_Category","implied" : ["IsCopyable","IsRewritingSystem","IsReducedConfluentRewritingSystem"]},"Tester(IsBuiltFromAdditiveMa\
+gmaWithInverses)" : {"type" : "GAP_Tester","implied" : ["Tester(IsBuiltFromAdditiveMagmaWithInverses)"]},"Tester(IsBuiltFromMagma)" :\
+ {"type" : "GAP_Tester","implied" : ["Tester(IsBuiltFromMagma)"]},"Tester(IsBuiltFromMagmaWithOne)" : {"type" : "GAP_Tester","implied\
+" : ["Tester(IsBuiltFromMagmaWithOne)"]},"Tester(IsBuiltFromMagmaWithInverses)" : {"type" : "GAP_Tester","implied" : ["Tester(IsBuilt\
+FromMagmaWithInverses)"]},"Tester(IsBuiltFromGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsBuiltFromGroup)"]},"Tester(IsBui\
+ltFromSemigroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsBuiltFromSemigroup)"]},"Tester(IsBuiltFromMonoid)" : {"type" : "GAP\
+_Tester","implied" : ["Tester(IsBuiltFromMonoid)"]},"Tester(SemigroupOfRewritingSystem)" : {"type" : "GAP_Attribute","implied" : ["Te\
+ster(SemigroupOfRewritingSystem)"]},"Tester(MonoidOfRewritingSystem)" : {"type" : "GAP_Attribute","implied" : ["Tester(MonoidOfRewrit\
+ingSystem)"]},"Tester(ConfluentRws)" : {"type" : "GAP_Attribute","implied" : ["Tester(ConfluentRws)"]},"Tester(GeneratorsOfRws)" : {"\
+type" : "GAP_Attribute","implied" : ["Tester(GeneratorsOfRws)"]},"Tester(NumberGeneratorsOfRws)" : {"type" : "GAP_Attribute","implied\
+" : ["Tester(NumberGeneratorsOfRws)"]},"Tester(Rules)" : {"type" : "GAP_Attribute","implied" : ["Tester(Rules)"]},"Tester(OrderingOfR\
+ewritingSystem)" : {"type" : "GAP_Attribute","implied" : ["Tester(OrderingOfRewritingSystem)"]},"Tester(IsConfluent)" : {"type" : "GA\
+P_Tester","implied" : ["Tester(IsConfluent)"]},"Tester(IsReduced)" : {"type" : "GAP_Tester","implied" : ["Tester(IsReduced)"]},"IsPol\
+ycyclicCollector" : {"type" : "GAP_Category","implied" : ["IsCopyable","IsRewritingSystem","IsBuiltFromMagma","Tester(IsBuiltFromMagm\
+a)","IsBuiltFromMagmaWithOne","Tester(IsBuiltFromMagmaWithOne)","IsBuiltFromMagmaWithInverses","Tester(IsBuiltFromMagmaWithInverses)"\
+,"IsBuiltFromGroup","Tester(IsBuiltFromGroup)","IsPolycyclicCollector"]},"IsPowerConjugateCollector" : {"type" : "GAP_Category","impl\
+ied" : ["IsCopyable","IsRewritingSystem","IsBuiltFromMagma","Tester(IsBuiltFromMagma)","IsBuiltFromMagmaWithOne","Tester(IsBuiltFromM\
+agmaWithOne)","IsBuiltFromMagmaWithInverses","Tester(IsBuiltFromMagmaWithInverses)","IsBuiltFromGroup","Tester(IsBuiltFromGroup)","Is\
+PolycyclicCollector","IsPowerConjugateCollector"]},"IsPowerCommutatorCollector" : {"type" : "GAP_Category","implied" : ["IsCopyable",\
+"IsRewritingSystem","IsBuiltFromMagma","Tester(IsBuiltFromMagma)","IsBuiltFromMagmaWithOne","Tester(IsBuiltFromMagmaWithOne)","IsBuil\
+tFromMagmaWithInverses","Tester(IsBuiltFromMagmaWithInverses)","IsBuiltFromGroup","Tester(IsBuiltFromGroup)","IsPolycyclicCollector",\
+"IsPowerCommutatorCollector"]},"Tester(RelativeOrders)" : {"type" : "GAP_Attribute","implied" : ["Tester(RelativeOrders)"]},"IsUpToDa\
+tePolycyclicCollector" : {"type" : "GAP_Filter","implied" : ["IsUpToDatePolycyclicCollector"]},"IsElementsFamilyByRws" : {"type" : "G\
+AP_Category","implied" : ["IsFamily","IsElementsFamilyByRws"]},"IsMultiplicativeElementWithInverseByRws" : {"type" : "GAP_Category","\
+implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithIn\
+verse","IsMultiplicativeElementWithInverseByRws"]},"IsElementFinitePolycyclicGroup" : {"type" : "GAP_Category","implied" : ["IsExtLEl\
+ement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociative\
+Element","IsElementFinitePolycyclicGroup"]},"CategoryCollections(IsElementFinitePolycyclicGroup)" : {"type" : "GAP_Category","implied\
+" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(Is\
+ExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollectio\
+ns(IsMultiplicativeElementWithInverse)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfS\
+emigroup)","IsSubsetLocallyFiniteGroup","Tester(IsSubsetLocallyFiniteGroup)","CategoryCollections(IsElementFinitePolycyclicGroup)"]},\
+"IsMultiplicativeElementWithInverseByPolycyclicCollector" : {"type" : "GAP_Category","implied" : ["IsExtLElement","IsExtRElement","Is\
+MultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsMultiplicative\
+ElementWithInverseByRws","IsMultiplicativeElementWithInverseByPolycyclicCollector"]},"CategoryCollections(IsMultiplicativeElementWith\
+InverseByPolycyclicCollector)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryC\
+ollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","Categ\
+oryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsAsso\
+ciativeElement)","IsGeneratorsOfMagmaWithInverses","Tester(IsGeneratorsOfMagmaWithInverses)","IsGeneratorsOfSemigroup","Tester(IsGene\
+ratorsOfSemigroup)","CategoryCollections(IsMultiplicativeElementWithInverseByPolycyclicCollector)"]},"Tester(DefiningPcgs)" : {"type"\
+ : "GAP_Attribute","implied" : ["Tester(DefiningPcgs)"]},"IsKernelPcWord" : {"type" : "GAP_Filter","implied" : ["IsKernelPcWord"]},"I\
+sElementsFamilyBy8BitsSingleCollector" : {"type" : "GAP_Category","implied" : ["IsFamily","IsElementsFamilyByRws","IsElementsFamilyBy\
+8BitsSingleCollector"]},"IsElementsFamilyBy16BitsSingleCollector" : {"type" : "GAP_Category","implied" : ["IsFamily","IsElementsFamil\
+yByRws","IsElementsFamilyBy16BitsSingleCollector"]},"IsElementsFamilyBy32BitsSingleCollector" : {"type" : "GAP_Category","implied" : \
+["IsFamily","IsElementsFamilyByRws","IsElementsFamilyBy32BitsSingleCollector"]},"IsMonomialOrdering" : {"type" : "GAP_Category","impl\
+ied" : ["IsMonomialOrdering"]},"IsMonomialOrderingDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","\
+IsComponentObjectRep","IsAttributeStoringRep","IsMonomialOrdering","IsMonomialOrderingDefaultRep"]},"Tester(MonomialComparisonFunctio\
+n)" : {"type" : "GAP_Attribute","implied" : ["Tester(MonomialComparisonFunction)"]},"Tester(MonomialExtrepComparisonFun)" : {"type" :\
+ "GAP_Attribute","implied" : ["Tester(MonomialExtrepComparisonFun)"]},"Tester(OccuringVariableIndices)" : {"type" : "GAP_Attribute","\
+implied" : ["Tester(OccuringVariableIndices)"]},"Tester(StoredGroebnerBasis)" : {"type" : "GAP_Attribute","implied" : ["Tester(Stored\
+GroebnerBasis)"]},"IsGeneralPcgs" : {"type" : "GAP_Category","implied" : ["IsList","IsDenseList","IsHomogeneousList","IsNoImmediateMe\
+thodsObject","IsListOrCollection","IsCollection","IsFinite","Tester(IsFinite)","IsConstantTimeAccessList","IsDuplicateFree","Tester(I\
+sDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryC\
+ollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeEleme\
+ntWithInverse)","IsGeneralPcgs"]},"IsModuloPcgs" : {"type" : "GAP_Category","implied" : ["IsList","IsDenseList","IsHomogeneousList","\
+IsNoImmediateMethodsObject","IsListOrCollection","IsCollection","IsFinite","Tester(IsFinite)","IsConstantTimeAccessList","IsDuplicate\
+Free","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtREleme\
+nt)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMult\
+iplicativeElementWithInverse)","IsGeneralPcgs","IsModuloPcgs"]},"IsPcgs" : {"type" : "GAP_Category","implied" : ["IsList","IsDenseLis\
+t","IsHomogeneousList","IsNoImmediateMethodsObject","IsListOrCollection","IsCollection","IsFinite","Tester(IsFinite)","IsConstantTime\
+AccessList","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","Categor\
+yCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","Ca\
+tegoryCollections(IsMultiplicativeElementWithInverse)","IsGeneralPcgs","IsModuloPcgs","IsPcgs"]},"IsPcgsFamily" : {"type" : "GAP_Cate\
+gory","implied" : ["IsFamily","IsPcgsFamily"]},"IsPcgsDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep\
+","IsAttributeStoringRep","IsPcgsDefaultRep"]},"Tester(PcGroupWithPcgs)" : {"type" : "GAP_Attribute","implied" : ["Tester(PcGroupWith\
+Pcgs)"]},"Tester(GroupOfPcgs)" : {"type" : "GAP_Attribute","implied" : ["Tester(GroupOfPcgs)"]},"Tester(OneOfPcgs)" : {"type" : "GAP_\
+Attribute","implied" : ["Tester(OneOfPcgs)"]},"Tester(PcSeries)" : {"type" : "GAP_Attribute","implied" : ["Tester(PcSeries)"]},"Teste\
+r(IsPcgsElementaryAbelianSeries)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPcgsElementaryAbelianSeries)"]},"Tester(PcgsElement\
+aryAbelianSeries)" : {"type" : "GAP_Attribute","implied" : ["Tester(PcgsElementaryAbelianSeries)"]},"Tester(IndicesEANormalSteps)" : \
+{"type" : "GAP_Attribute","implied" : ["Tester(IndicesEANormalSteps)"]},"Tester(EANormalSeriesByPcgs)" : {"type" : "GAP_Attribute","i\
+mplied" : ["Tester(EANormalSeriesByPcgs)"]},"Tester(IsPcgsCentralSeries)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPcgsCentral\
+Series)"]},"Tester(PcgsCentralSeries)" : {"type" : "GAP_Attribute","implied" : ["Tester(PcgsCentralSeries)"]},"Tester(IndicesCentralN\
+ormalSteps)" : {"type" : "GAP_Attribute","implied" : ["Tester(IndicesCentralNormalSteps)"]},"Tester(CentralNormalSeriesByPcgs)" : {"t\
+ype" : "GAP_Attribute","implied" : ["Tester(CentralNormalSeriesByPcgs)"]},"Tester(IsPcgsPCentralSeriesPGroup)" : {"type" : "GAP_Teste\
+r","implied" : ["Tester(IsPcgsPCentralSeriesPGroup)"]},"Tester(PcgsPCentralSeriesPGroup)" : {"type" : "GAP_Attribute","implied" : ["T\
+ester(PcgsPCentralSeriesPGroup)"]},"Tester(IndicesPCentralNormalStepsPGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(Indice\
+sPCentralNormalStepsPGroup)"]},"Tester(PCentralNormalSeriesByPcgsPGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(PCentralNo\
+rmalSeriesByPcgsPGroup)"]},"Tester(IsPcgsChiefSeries)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPcgsChiefSeries)"]},"Tester(Pc\
+gsChiefSeries)" : {"type" : "GAP_Attribute","implied" : ["Tester(PcgsChiefSeries)"]},"Tester(IndicesChiefNormalSteps)" : {"type" : "G\
+AP_Attribute","implied" : ["Tester(IndicesChiefNormalSteps)"]},"Tester(ChiefNormalSeriesByPcgs)" : {"type" : "GAP_Attribute","implied\
+" : ["Tester(ChiefNormalSeriesByPcgs)"]},"Tester(IndicesNormalSteps)" : {"type" : "GAP_Attribute","implied" : ["Tester(IndicesNormalS\
+teps)"]},"Tester(NormalSeriesByPcgs)" : {"type" : "GAP_Attribute","implied" : ["Tester(NormalSeriesByPcgs)"]},"Tester(IsPrimeOrdersPc\
+gs)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPrimeOrdersPcgs)"]},"Tester(IsFiniteOrdersPcgs)" : {"type" : "GAP_Tester","impli\
+ed" : ["Tester(IsFiniteOrdersPcgs)"]},"Tester(RefinedPcGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(RefinedPcGroup)"]},"T\
+ester(IsomorphismRefinedPcGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(IsomorphismRefinedPcGroup)"]},"IsInducedPcgs" : {"\
+type" : "GAP_Category","implied" : ["IsList","IsDenseList","IsHomogeneousList","IsNoImmediateMethodsObject","IsListOrCollection","IsC\
+ollection","IsFinite","Tester(IsFinite)","IsConstantTimeAccessList","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","Cate\
+goryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","\
+CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","IsGeneralPcgs","IsMod\
+uloPcgs","IsPcgs","IsInducedPcgs"]},"Tester(LeadCoeffsIGS)" : {"type" : "GAP_Attribute","implied" : ["Tester(LeadCoeffsIGS)"]},"Teste\
+r(ParentPcgs)" : {"type" : "GAP_Attribute","implied" : ["Tester(ParentPcgs)"]},"Tester(CanonicalPcgs)" : {"type" : "GAP_Attribute","i\
+mplied" : ["Tester(CanonicalPcgs)"]},"Tester(IsCanonicalPcgs)" : {"type" : "GAP_Tester","implied" : ["Tester(IsCanonicalPcgs)"]},"Tes\
+ter(IsParentPcgsFamilyPcgs)" : {"type" : "GAP_Tester","implied" : ["Tester(IsParentPcgsFamilyPcgs)"]},"Tester(ElementaryAbelianSubser\
+ies)" : {"type" : "GAP_Attribute","implied" : ["Tester(ElementaryAbelianSubseries)"]},"Tester(IsFamilyPcgs)" : {"type" : "GAP_Tester"\
+,"implied" : ["Tester(IsFamilyPcgs)"]},"Tester(DenominatorOfModuloPcgs)" : {"type" : "GAP_Attribute","implied" : ["Tester(Denominator\
+OfModuloPcgs)"]},"Tester(NumeratorOfModuloPcgs)" : {"type" : "GAP_Attribute","implied" : ["Tester(NumeratorOfModuloPcgs)"]},"Tester(I\
+sNumeratorParentPcgsFamilyPcgs)" : {"type" : "GAP_Tester","implied" : ["Tester(IsNumeratorParentPcgsFamilyPcgs)"]},"IsPcgsPermGroupRe\
+p" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsFiniteOrdersPcg\
+s","Tester(IsFiniteOrdersPcgs)","IsPcgsPermGroupRep"]},"IsModuloPcgsPermGroupRep" : {"type" : "GAP_Representation","implied" : ["IsCo\
+mponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsFiniteOrdersPcgs","Tester(IsFiniteOrdersPcgs)","IsPcgsPermGroupRep","\
+IsModuloPcgsPermGroupRep"]},"Tester(IsSpecialPcgs)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSpecialPcgs)"]},"Tester(SpecialPc\
+gs)" : {"type" : "GAP_Attribute","implied" : ["Tester(SpecialPcgs)"]},"Tester(LGHeads)" : {"type" : "GAP_Attribute","implied" : ["Tes\
+ter(LGHeads)"]},"Tester(LGTails)" : {"type" : "GAP_Attribute","implied" : ["Tester(LGTails)"]},"Tester(LGWeights)" : {"type" : "GAP_A\
+ttribute","implied" : ["Tester(LGWeights)"]},"Tester(LGLayers)" : {"type" : "GAP_Attribute","implied" : ["Tester(LGLayers)"]},"Tester\
+(LGFirst)" : {"type" : "GAP_Attribute","implied" : ["Tester(LGFirst)"]},"Tester(LGLength)" : {"type" : "GAP_Attribute","implied" : ["\
+Tester(LGLength)"]},"Tester(InducedPcgsWrtSpecialPcgs)" : {"type" : "GAP_Attribute","implied" : ["Tester(InducedPcgsWrtSpecialPcgs)"]\
+},"Tester(CanonicalPcgsWrtSpecialPcgs)" : {"type" : "GAP_Attribute","implied" : ["Tester(CanonicalPcgsWrtSpecialPcgs)"]},"Tester(IsIn\
+ducedPcgsWrtSpecialPcgs)" : {"type" : "GAP_Tester","implied" : ["Tester(IsInducedPcgsWrtSpecialPcgs)"]},"Tester(IsCanonicalPcgsWrtSpe\
+cialPcgs)" : {"type" : "GAP_Tester","implied" : ["Tester(IsCanonicalPcgsWrtSpecialPcgs)"]},"Tester(CanonicalPcgsWrtFamilyPcgs)" : {"t\
+ype" : "GAP_Attribute","implied" : ["Tester(CanonicalPcgsWrtFamilyPcgs)"]},"Tester(CanonicalPcgsWrtHomePcgs)" : {"type" : "GAP_Attrib\
+ute","implied" : ["Tester(CanonicalPcgsWrtHomePcgs)"]},"Tester(FamilyPcgs)" : {"type" : "GAP_Attribute","implied" : ["Tester(FamilyPc\
+gs)"]},"Tester(HomePcgs)" : {"type" : "GAP_Attribute","implied" : ["Tester(HomePcgs)"]},"Tester(InducedPcgsWrtFamilyPcgs)" : {"type" \
+: "GAP_Attribute","implied" : ["Tester(InducedPcgsWrtFamilyPcgs)"]},"Tester(ComputedInducedPcgses)" : {"type" : "GAP_Attribute","impl\
+ied" : ["Tester(ComputedInducedPcgses)"]},"Tester(InducedPcgsWrtHomePcgs)" : {"type" : "GAP_Attribute","implied" : ["Tester(InducedPc\
+gsWrtHomePcgs)"]},"Tester(Pcgs)" : {"type" : "GAP_Attribute","implied" : ["Tester(Pcgs)"]},"Tester(GeneralizedPcgs)" : {"type" : "GAP\
+_Attribute","implied" : ["Tester(GeneralizedPcgs)"]},"CanEasilyComputePcgs" : {"type" : "GAP_Filter","implied" : ["IsListOrCollection\
+","IsCollection","CanComputeSize","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","I\
+sExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicati\
+veElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","IsMagm\
+aWithInversesIfNonzero","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)","IsSimpl\
+eSemigroup","Tester(IsSimpleSemigroup)","IsRegularSemigroup","Tester(IsRegularSemigroup)","IsInverseSemigroup","Tester(IsInverseSemig\
+roup)","IsCompletelyRegularSemigroup","Tester(IsCompletelyRegularSemigroup)","IsGroupAsSemigroup","Tester(IsGroupAsSemigroup)","IsMon\
+oidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsOrthodoxSemigroup","Tester(IsOrthodoxSemigroup)","CanComputeSizeAnySubgroup","IsSolv\
+ableGroup","Tester(IsSolvableGroup)","CanEasilyComputePcgs"]},"Tester(OmegaSeries)" : {"type" : "GAP_Attribute","implied" : ["Tester(\
+OmegaSeries)"]},"Tester(NormalizerInHomePcgs)" : {"type" : "GAP_Attribute","implied" : ["Tester(NormalizerInHomePcgs)"]},"Tester(Mult\
+iplicationTable)" : {"type" : "GAP_Attribute","implied" : ["Tester(MultiplicationTable)"]},"Tester(AllBlocks)" : {"type" : "GAP_Attri\
+bute","implied" : ["Tester(AllBlocks)"]},"Tester(TransitiveIdentification)" : {"type" : "GAP_Attribute","implied" : ["Tester(Transiti\
+veIdentification)"]},"Tester(PrimitiveIdentification)" : {"type" : "GAP_Attribute","implied" : ["Tester(PrimitiveIdentification)"]},"\
+Tester(ONanScottType)" : {"type" : "GAP_Attribute","implied" : ["Tester(ONanScottType)"]},"Tester(SocleTypePrimitiveGroup)" : {"type"\
+ : "GAP_Attribute","implied" : ["Tester(SocleTypePrimitiveGroup)"]},"Tester(TwoClosure)" : {"type" : "GAP_Attribute","implied" : ["Te\
+ster(TwoClosure)"]},"IsGroupGeneralMappingByImages" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttribute\
+StoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithIn\
+verse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","Resp\
+ectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages"]},"IsPreimagesByAsGroupG\
+eneralMappingByImages" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","\
+IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement"\
+,"IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)\
+","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages"]},"IsGroupGeneralMappingByAsGroupGeneral\
+MappingByImages" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtR\
+Element","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGe\
+neralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","Res\
+pectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsGroupGeneralMappingByAsGroupGeneralMappingB\
+yImages"]},"Tester(AsGroupGeneralMappingByImages)" : {"type" : "GAP_Attribute","implied" : ["Tester(AsGroupGeneralMappingByImages)"]}\
+,"Tester(MappingOfWhichItIsAsGGMBI)" : {"type" : "GAP_Attribute","implied" : ["Tester(MappingOfWhichItIsAsGGMBI)"]},"Tester(NaturalHo\
+momorphismByNormalSubgroupNCInParent)" : {"type" : "GAP_Attribute","implied" : ["Tester(NaturalHomomorphismByNormalSubgroupNCInParent\
+)"]},"Tester(IsConjugatorIsomorphism)" : {"type" : "GAP_Tester","implied" : ["Tester(IsConjugatorIsomorphism)"]},"Tester(IsInnerAutom\
+orphism)" : {"type" : "GAP_Tester","implied" : ["Tester(IsInnerAutomorphism)"]},"Tester(ConjugatorOfConjugatorIsomorphism)" : {"type"\
+ : "GAP_Attribute","implied" : ["Tester(ConjugatorOfConjugatorIsomorphism)"]},"Tester(ImagesSmallestGenerators)" : {"type" : "GAP_Att\
+ribute","implied" : ["Tester(ImagesSmallestGenerators)"]},"Tester(RegularActionHomomorphism)" : {"type" : "GAP_Attribute","implied" :\
+ ["Tester(RegularActionHomomorphism)"]},"IsGroupGeneralMappingByPcgs" : {"type" : "GAP_Representation","implied" : ["IsComponentObjec\
+tRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplic\
+ativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMult\
+iplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages","IsGro\
+upGeneralMappingByPcgs"]},"IsPcGroupGeneralMappingByImages" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsA\
+ttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeEleme\
+ntWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication\
+)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages","IsGroupGeneralM\
+appingByPcgs","IsPcGroupGeneralMappingByImages"]},"IsToPcGroupGeneralMappingByImages" : {"type" : "GAP_Representation","implied" : ["\
+IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithO\
+ne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tes\
+ter(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMapping\
+ByImages","IsToPcGroupGeneralMappingByImages"]},"IsNaturalHomomorphismPcGroupRep" : {"type" : "GAP_Representation","implied" : ["IsCo\
+mponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne",\
+"IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSi\
+ngleValued","Tester(IsSingleValued)","IsSurjective","Tester(IsSurjective)","RespectsMultiplication","Tester(RespectsMultiplication)",\
+"RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsNaturalHomomorphismPcGroupRep"]},"IsPcgsToPcgsGe\
+neralMappingByImages" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","I\
+sExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement",\
+"IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)"\
+,"RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages","IsGroupGeneralMappingByPcgs","IsPcGroupGeneralMapping\
+ByImages","IsToPcGroupGeneralMappingByImages","IsPcgsToPcgsGeneralMappingByImages"]},"Tester(DirectProductInfo)" : {"type" : "GAP_Att\
+ribute","implied" : ["Tester(DirectProductInfo)"]},"Tester(SubdirectProductInfo)" : {"type" : "GAP_Attribute","implied" : ["Tester(Su\
+bdirectProductInfo)"]},"Tester(SemidirectProductInfo)" : {"type" : "GAP_Attribute","implied" : ["Tester(SemidirectProductInfo)"]},"Te\
+ster(WreathProductInfo)" : {"type" : "GAP_Attribute","implied" : ["Tester(WreathProductInfo)"]},"Tester(FreeProductInfo)" : {"type" :\
+ "GAP_Attribute","implied" : ["Tester(FreeProductInfo)"]},"IsWreathProductElement" : {"type" : "GAP_Category","implied" : ["IsExtLEle\
+ment","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeE\
+lement","IsWreathProductElement"]},"CategoryCollections(IsWreathProductElement)" : {"type" : "GAP_Category","implied" : ["IsListOrCol\
+lection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","Ca\
+tegoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicati\
+veElementWithInverse)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfMagmaWithInverses","Tester(IsGeneratorsOfMagmaWithI\
+nverses)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsWreathProductElement)"]},"IsWreathProduc\
+tElementDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsExtLElement","IsExtRElement","IsMultipli\
+cativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsWreathProductElement",\
+"IsWreathProductElementDefaultRep"]},"IsPermGroupGeneralMapping" : {"type" : "GAP_Representation","implied" : ["IsExtLElement","IsExt\
+RElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsG\
+eneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Test\
+er(RespectsInverses)","IsPermGroupGeneralMapping"]},"IsPermGroupGeneralMappingByImages" : {"type" : "GAP_Representation","implied" : \
+["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWit\
+hOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","T\
+ester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappi\
+ngByImages","IsPermGroupGeneralMapping","IsPermGroupGeneralMappingByImages"]},"IsToPermGroupGeneralMappingByImages" : {"type" : "GAP_\
+Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement"\
+,"IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping"\
+,"RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInv\
+erses)","IsGroupGeneralMappingByImages","IsToPermGroupGeneralMappingByImages"]},"Tester(IsNaturalSymmetricGroup)" : {"type" : "GAP_Te\
+ster","implied" : ["Tester(IsNaturalSymmetricGroup)"]},"Tester(IsNaturalAlternatingGroup)" : {"type" : "GAP_Tester","implied" : ["Tes\
+ter(IsNaturalAlternatingGroup)"]},"Tester(IsAlternatingGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsAlternatingGroup)"]},"\
+Tester(IsSymmetricGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSymmetricGroup)"]},"Tester(SymmetricParentGroup)" : {"type"\
+ : "GAP_Attribute","implied" : ["Tester(SymmetricParentGroup)"]},"Tester(AlternatingSubgroup)" : {"type" : "GAP_Attribute","implied" \
+: ["Tester(AlternatingSubgroup)"]},"Tester(OrbitStabilizingParentGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(OrbitStabil\
+izingParentGroup)"]},"Tester(DirectFactorsOfGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(DirectFactorsOfGroup)"]},"Tester\
+(SemidirectFactorsOfGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(SemidirectFactorsOfGroup)"]},"Tester(DecompositionTypesO\
+fGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(DecompositionTypesOfGroup)"]},"Tester(IsDihedralGroup)" : {"type" : "GAP_Te\
+ster","implied" : ["Tester(IsDihedralGroup)"]},"Tester(DihedralGenerators)" : {"type" : "GAP_Attribute","implied" : ["Tester(Dihedral\
+Generators)"]},"Tester(IsQuaternionGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsQuaternionGroup)"]},"Tester(QuaternionGene\
+rators)" : {"type" : "GAP_Attribute","implied" : ["Tester(QuaternionGenerators)"]},"Tester(IsQuasiDihedralGroup)" : {"type" : "GAP_Te\
+ster","implied" : ["Tester(IsQuasiDihedralGroup)"]},"Tester(QuasiDihedralGenerators)" : {"type" : "GAP_Attribute","implied" : ["Teste\
+r(QuasiDihedralGenerators)"]},"Tester(IsPSL)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPSL)"]},"Tester(ParametersOfGroupViewed\
+AsPSL)" : {"type" : "GAP_Attribute","implied" : ["Tester(ParametersOfGroupViewedAsPSL)"]},"Tester(ParametersOfGroupViewedAsSL)" : {"t\
+ype" : "GAP_Attribute","implied" : ["Tester(ParametersOfGroupViewedAsSL)"]},"Tester(ParametersOfGroupViewedAsGL)" : {"type" : "GAP_At\
+tribute","implied" : ["Tester(ParametersOfGroupViewedAsGL)"]},"Tester(AlternatingDegree)" : {"type" : "GAP_Attribute","implied" : ["T\
+ester(AlternatingDegree)"]},"Tester(SymmetricDegree)" : {"type" : "GAP_Attribute","implied" : ["Tester(SymmetricDegree)"]},"Tester(PS\
+LDegree)" : {"type" : "GAP_Attribute","implied" : ["Tester(PSLDegree)"]},"Tester(PSLUnderlyingField)" : {"type" : "GAP_Attribute","im\
+plied" : ["Tester(PSLUnderlyingField)"]},"Tester(SLDegree)" : {"type" : "GAP_Attribute","implied" : ["Tester(SLDegree)"]},"Tester(SLU\
+nderlyingField)" : {"type" : "GAP_Attribute","implied" : ["Tester(SLUnderlyingField)"]},"Tester(GLDegree)" : {"type" : "GAP_Attribute\
+","implied" : ["Tester(GLDegree)"]},"Tester(GLUnderlyingField)" : {"type" : "GAP_Attribute","implied" : ["Tester(GLUnderlyingField)"]\
+},"Tester(StructureDescription)" : {"type" : "GAP_Attribute","implied" : ["Tester(StructureDescription)"]},"IsQuotientSystem" : {"typ\
+e" : "GAP_Category","implied" : ["IsQuotientSystem"]},"Tester(IsPQuotientSystem)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPQu\
+otientSystem)"]},"Tester(IsNilpQuotientSystem)" : {"type" : "GAP_Tester","implied" : ["Tester(IsNilpQuotientSystem)"]},"IsExternalSet\
+" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGenerali\
+zedDomain","IsExternalSet"]},"IsExternalSubset" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStor\
+ingRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsExte\
+rnalSubset"]},"IsExternalOrbit" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListO\
+rCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsExternalSubset","IsE\
+xternalOrbit"]},"IsExternalSetByPcgs" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","\
+Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsExternalSetByPcgs"]},"IsExternalSetDefaultRep" : {"type" : "GAP_Rep\
+resentation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Teste\
+r(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsExternalSetDefaultRep"]},"IsExternalSetByActorsRep" : {"type" : "GAP_Rep\
+resentation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Teste\
+r(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsExternalSetByActorsRep"]},"Tester(ActingDomain)" : {"type" : "GAP_Attrib\
+ute","implied" : ["Tester(ActingDomain)"]},"Tester(HomeEnumerator)" : {"type" : "GAP_Attribute","implied" : ["Tester(HomeEnumerator)"\
+]},"IsActionHomomorphism" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement\
+","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeEleme\
+nt","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplica\
+tion","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimages\
+ByAsGroupGeneralMappingByImages","IsActionHomomorphism"]},"IsActionHomomorphismByActors" : {"type" : "GAP_Representation","implied" :\
+ ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWi\
+thOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)\
+","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsO\
+ne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsActionHomomorphism","IsActionHomom\
+orphismByActors"]},"IsActionHomomorphismSubset" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStor\
+ingRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInvers\
+e","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued\
+)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsI\
+nverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsActionHomomorphism","IsActionHomomorphismSubset"]},"Tester(ActionKernelExte\
+rnalSet)" : {"type" : "GAP_Attribute","implied" : ["Tester(ActionKernelExternalSet)"]},"IsActionHomomorphismByBase" : {"type" : "GAP_\
+Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement"\
+,"IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping"\
+,"IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","Res\
+pectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsActionH\
+omomorphism","IsActionHomomorphismByBase"]},"IsConstituentHomomorphism" : {"type" : "GAP_Representation","implied" : ["IsComponentObj\
+ectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultipl\
+icativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued\
+","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInv\
+erses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsActionHomomorphism","IsConstituentHomomorphism"]},"\
+IsBlocksHomomorphism" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","I\
+sExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement",\
+"IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication\
+","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAs\
+GroupGeneralMappingByImages","IsActionHomomorphism","IsBlocksHomomorphism"]},"IsLinearActionHomomorphism" : {"type" : "GAP_Representa\
+tion","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultip\
+licativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal"\
+,"Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne",\
+"Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsActionHomomorphis\
+m","IsLinearActionHomomorphism"]},"IsProjectiveActionHomomorphism" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRe\
+p","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicati\
+veElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Te\
+ster(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses\
+","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsActionHomomorphism","IsProjectiveActionHomomorphism"]},"\
+Tester(LinearActionBasis)" : {"type" : "GAP_Attribute","implied" : ["Tester(LinearActionBasis)"]},"Tester(FunctionAction)" : {"type" \
+: "GAP_Attribute","implied" : ["Tester(FunctionAction)"]},"Tester(StabilizerOfExternalSet)" : {"type" : "GAP_Attribute","implied" : [\
+"Tester(StabilizerOfExternalSet)"]},"Tester(CanonicalRepresentativeOfExternalSet)" : {"type" : "GAP_Attribute","implied" : ["Tester(C\
+anonicalRepresentativeOfExternalSet)","Tester(CanEasilyDetermineCanonicalRepresentativeExternalSet)"]},"Tester(CanonicalRepresentativ\
+eDeterminatorOfExternalSet)" : {"type" : "GAP_Attribute","implied" : ["Tester(CanonicalRepresentativeDeterminatorOfExternalSet)","Tes\
+ter(CanEasilyDetermineCanonicalRepresentativeExternalSet)"]},"Tester(CanEasilyDetermineCanonicalRepresentativeExternalSet)" : {"type"\
+ : "GAP_Attribute","implied" : ["Tester(CanEasilyDetermineCanonicalRepresentativeExternalSet)"]},"Tester(ActorOfExternalSet)" : {"typ\
+e" : "GAP_Attribute","implied" : ["Tester(ActorOfExternalSet)"]},"Tester(ActionHomomorphismAttr)" : {"type" : "GAP_Attribute","implie\
+d" : ["Tester(ActionHomomorphismAttr)"]},"Tester(SurjectiveActionHomomorphismAttr)" : {"type" : "GAP_Attribute","implied" : ["Tester(\
+SurjectiveActionHomomorphismAttr)"]},"Tester(UnderlyingExternalSet)" : {"type" : "GAP_Attribute","implied" : ["Tester(UnderlyingExter\
+nalSet)"]},"Tester(ExternalSet)" : {"type" : "GAP_Attribute","implied" : ["Tester(ExternalSet)"]},"Tester(Orbits)" : {"type" : "GAP_A\
+ttribute","implied" : ["Tester(Orbits)"]},"Tester(OrbitsDomain)" : {"type" : "GAP_Attribute","implied" : ["Tester(OrbitsDomain)"]},"T\
+ester(OrbitLengths)" : {"type" : "GAP_Attribute","implied" : ["Tester(OrbitLengths)"]},"Tester(OrbitLengthsDomain)" : {"type" : "GAP_\
+Attribute","implied" : ["Tester(OrbitLengthsDomain)"]},"Tester(ExternalOrbits)" : {"type" : "GAP_Attribute","implied" : ["Tester(Exte\
+rnalOrbits)"]},"Tester(ExternalOrbitsStabilizers)" : {"type" : "GAP_Attribute","implied" : ["Tester(ExternalOrbitsStabilizers)"]},"Te\
+ster(Transitivity)" : {"type" : "GAP_Attribute","implied" : ["Tester(Transitivity)"]},"Tester(BlocksAttr)" : {"type" : "GAP_Attribute\
+","implied" : ["Tester(BlocksAttr)"]},"Tester(MaximalBlocksAttr)" : {"type" : "GAP_Attribute","implied" : ["Tester(MaximalBlocksAttr)\
+"]},"Tester(RepresentativesMinimalBlocksAttr)" : {"type" : "GAP_Attribute","implied" : ["Tester(RepresentativesMinimalBlocksAttr)"]},\
+"Tester(Earns)" : {"type" : "GAP_Attribute","implied" : ["Tester(Earns)"]},"Tester(IsTransitive)" : {"type" : "GAP_Tester","implied" \
+: ["Tester(IsTransitive)"]},"Tester(IsPrimitive)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPrimitive)"]},"Tester(IsPrimitiveAf\
+fine)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPrimitiveAffine)"]},"Tester(IsSemiRegular)" : {"type" : "GAP_Tester","implied"\
+ : ["Tester(IsSemiRegular)"]},"Tester(IsRegular)" : {"type" : "GAP_Tester","implied" : ["Tester(IsRegular)"]},"Tester(RankAction)" : \
+{"type" : "GAP_Attribute","implied" : ["Tester(RankAction)"]},"Tester(StabChainMutable)" : {"type" : "GAP_Attribute","implied" : ["Te\
+ster(StabChainMutable)"]},"Tester(StabChainImmutable)" : {"type" : "GAP_Attribute","implied" : ["Tester(StabChainImmutable)"]},"Teste\
+r(StabChainOptions)" : {"type" : "GAP_Attribute","implied" : ["Tester(StabChainOptions)"]},"Tester(BaseOfGroup)" : {"type" : "GAP_Att\
+ribute","implied" : ["Tester(BaseOfGroup)"]},"Tester(MinimalStabChain)" : {"type" : "GAP_Attribute","implied" : ["Tester(MinimalStabC\
+hain)"]},"IsPermOnEnumerator" : {"type" : "GAP_Category","implied" : ["IsPerm","IsExtLElement","IsExtRElement","IsMultiplicativeEleme\
+nt","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsFiniteOrderElement","IsPermOnEnum\
+erator"]},"IsExternalOrbitByStabilizerRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRe\
+p","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsExternalS\
+ubset","IsExternalOrbit","IsExternalOrbitByStabilizerRep"]},"IsConjugacyClassGroupRep" : {"type" : "GAP_Representation","implied" : [\
+"IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGen\
+eralizedDomain","IsExternalSet","IsExternalSubset","IsExternalOrbit","IsConjugacyClassGroupRep"]},"IsConjugacyClassPermGroupRep" : {"\
+type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDupli\
+cateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsExternalSubset","IsExternalOrbit","IsExternalOrbitByStab\
+ilizerRep","IsConjugacyClassGroupRep","IsConjugacyClassPermGroupRep"]},"IsRationalClassGroupRep" : {"type" : "GAP_Representation","im\
+plied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsFinite","Tester(IsFinite)","IsDuplica\
+teFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsRationalClassGroupRep"]},"IsRationalClassPermGroupRep" : {\
+"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsFini\
+te","Tester(IsFinite)","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsRationalClassGroupRep","I\
+sRationalClassPermGroupRep"]},"Tester(DecomposedRationalClass)" : {"type" : "GAP_Attribute","implied" : ["Tester(DecomposedRationalCl\
+ass)"]},"Tester(StoredPermliftSeries)" : {"type" : "GAP_Attribute","implied" : ["Tester(StoredPermliftSeries)"]},"Tester(ComputedAsce\
+ndingChains)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedAscendingChains)"]},"IsDoubleCoset" : {"type" : "GAP_Category"\
+,"implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExtLSet","IsEx\
+tRSet","IsDoubleCoset"]},"Tester(LeftActingGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(LeftActingGroup)"]},"Tester(Right\
+ActingGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(RightActingGroup)"]},"Tester(RepresentativesContainedRightCosets)" : {\
+"type" : "GAP_Attribute","implied" : ["Tester(RepresentativesContainedRightCosets)"]},"IsRightCoset" : {"type" : "GAP_Category","impl\
+ied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)\
+","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","Is\
+GeneralizedDomain","IsExternalSet","IsExternalSubset","IsExternalOrbit","IsRightCoset"]},"Tester(NaturalHomomorphismsPool)" : {"type"\
+ : "GAP_Attribute","implied" : ["Tester(NaturalHomomorphismsPool)"]},"Tester(SocleComplement)" : {"type" : "GAP_Attribute","implied" \
+: ["Tester(SocleComplement)"]},"Tester(SocleDimensions)" : {"type" : "GAP_Attribute","implied" : ["Tester(SocleDimensions)"]},"Tester\
+(ModuleOfExtension)" : {"type" : "GAP_Attribute","implied" : ["Tester(ModuleOfExtension)"]},"Tester(OmegaAndLowerPCentralSeries)" : {\
+"type" : "GAP_Attribute","implied" : ["Tester(OmegaAndLowerPCentralSeries)"]},"Tester(SchurCover)" : {"type" : "GAP_Attribute","impli\
+ed" : ["Tester(SchurCover)"]},"Tester(EpimorphismSchurCover)" : {"type" : "GAP_Attribute","implied" : ["Tester(EpimorphismSchurCover)\
+"]},"Tester(AbelianInvariantsMultiplier)" : {"type" : "GAP_Attribute","implied" : ["Tester(AbelianInvariantsMultiplier)"]},"Tester(Ep\
+icentre)" : {"type" : "GAP_Attribute","implied" : ["Tester(Epicentre)"]},"Tester(IsCentralFactor)" : {"type" : "GAP_Tester","implied"\
+ : ["Tester(IsCentralFactor)"]},"IsConjugacyClassSubgroupsRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","\
+IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExter\
+nalSet","IsExternalSubset","IsExternalOrbit","IsConjugacyClassSubgroupsRep"]},"IsConjugacyClassSubgroupsByStabilizerRep" : {"type" : \
+"GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree\
+","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsExternalSet","IsExternalSubset","IsExternalOrbit","IsExternalOrbitByStabilizerRe\
+p","IsConjugacyClassSubgroupsRep","IsConjugacyClassSubgroupsByStabilizerRep"]},"IsLatticeSubgroupsRep" : {"type" : "GAP_Representatio\
+n","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsLatticeSubgroupsRep"]},"Tester(Zuppos)" : {"type" : "GAP_Attribute"\
+,"implied" : ["Tester(Zuppos)"]},"Tester(MaximalSubgroupsLattice)" : {"type" : "GAP_Attribute","implied" : ["Tester(MaximalSubgroupsL\
+attice)"]},"Tester(MinimalSupergroupsLattice)" : {"type" : "GAP_Attribute","implied" : ["Tester(MinimalSupergroupsLattice)"]},"Tester\
+(TomDataAlmostSimpleRecognition)" : {"type" : "GAP_Attribute","implied" : ["Tester(TomDataAlmostSimpleRecognition)"]},"Tester(IsFratt\
+iniFree)" : {"type" : "GAP_Tester","implied" : ["Tester(IsFrattiniFree)"]},"IsStraightLineProgram" : {"type" : "GAP_Category","implie\
+d" : ["IsStraightLineProgram"]},"Tester(LinesOfStraightLineProgram)" : {"type" : "GAP_Attribute","implied" : ["Tester(LinesOfStraight\
+LineProgram)"]},"Tester(NrInputsOfStraightLineProgram)" : {"type" : "GAP_Attribute","implied" : ["Tester(NrInputsOfStraightLineProgra\
+m)"]},"StraightLineProgramElmRankFilter" : {"type" : "GAP_Filter","implied" : ["StraightLineProgramElmRankFilter"]},"IsStraightLinePr\
+ogElm" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement\
+","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","StraightLineProgramElmRankFilter","IsStraightLineProgElm"]},\
+"Tester(StraightLineProgElmType)" : {"type" : "GAP_Attribute","implied" : ["Tester(StraightLineProgElmType)"]},"Tester(SlotUsagePatte\
+rn)" : {"type" : "GAP_Attribute","implied" : ["Tester(SlotUsagePattern)"]},"Tester(LargestNrSlots)" : {"type" : "GAP_Attribute","impl\
+ied" : ["Tester(LargestNrSlots)"]},"IsObjWithMemoryRankFilter" : {"type" : "GAP_Filter","implied" : ["IsObjWithMemoryRankFilter"]},"I\
+sObjWithMemory" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsExtLElement","IsExtRElement","IsMultiplicativ\
+eElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsObjWithMemoryRankFilter","IsObjWithMemory"]},"Test\
+er(TypeOfObjWithMemory)" : {"type" : "GAP_Attribute","implied" : ["Tester(TypeOfObjWithMemory)"]},"IsSubgroupFgGroup" : {"type" : "GA\
+P_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCol\
+lections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","Categor\
+yCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","IsGeneralizedDomain","IsMagm\
+a","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(Multiplicati\
+veNeutralElement)","IsSimpleSemigroup","Tester(IsSimpleSemigroup)","IsRegularSemigroup","Tester(IsRegularSemigroup)","IsInverseSemigr\
+oup","Tester(IsInverseSemigroup)","IsCompletelyRegularSemigroup","Tester(IsCompletelyRegularSemigroup)","IsGroupAsSemigroup","Tester(\
+IsGroupAsSemigroup)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsOrthodoxSemigroup","Tester(IsOrthodoxSemigroup)","IsSubgr\
+oupFgGroup"]},"IsSubgroupFpGroup" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Test\
+er(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","Categ\
+oryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeE\
+lementWithInverse)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsMagmaWithInverses","IsAssociat\
+ive","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)","IsSimpleSemigroup","Tester(IsSimpleSemigroup)","IsRegularSemigro\
+up","Tester(IsRegularSemigroup)","IsInverseSemigroup","Tester(IsInverseSemigroup)","IsCompletelyRegularSemigroup","Tester(IsCompletel\
+yRegularSemigroup)","IsGroupAsSemigroup","Tester(IsGroupAsSemigroup)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsOrthodox\
+Semigroup","Tester(IsOrthodoxSemigroup)","IsSubgroupFgGroup","IsSubgroupFpGroup"]},"IsElementOfFpGroup" : {"type" : "GAP_Category","i\
+mplied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInv\
+erse","IsAssociativeElement","IsElementOfFpGroup"]},"CategoryCollections(IsElementOfFpGroup)" : {"type" : "GAP_Category","implied" : \
+["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtR\
+Element)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(I\
+sMultiplicativeElementWithInverse)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfMagmaWithInverses","Tester(IsGenerator\
+sOfMagmaWithInverses)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsElementOfFpGroup)"]},"Categ\
+oryFamily(IsElementOfFpGroup)" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily(IsElementOfFpGroup)"]},"Tester(FpEl\
+mEqualityMethod)" : {"type" : "GAP_Attribute","implied" : ["Tester(FpElmEqualityMethod)"]},"Tester(FpElmComparisonMethod)" : {"type" \
+: "GAP_Attribute","implied" : ["Tester(FpElmComparisonMethod)"]},"Tester(FpElementNFFunction)" : {"type" : "GAP_Attribute","implied" \
+: ["Tester(FpElementNFFunction)"]},"Tester(CosetTableInWholeGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(CosetTableInWhol\
+eGroup)"]},"Tester(CosetTableNormalClosureInWholeGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(CosetTableNormalClosureInWh\
+oleGroup)"]},"IsSubgroupOfWholeGroupByQuotientRep" : {"type" : "GAP_Representation","implied" : ["IsListOrCollection","IsCollection",\
+"IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections\
+(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollec\
+tions(IsMultiplicativeElementWithInverse)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsMagmaWi\
+thInverses","IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)","IsSimpleSemigroup","Tester(IsSimpleSemigr\
+oup)","IsRegularSemigroup","Tester(IsRegularSemigroup)","IsInverseSemigroup","Tester(IsInverseSemigroup)","IsCompletelyRegularSemigro\
+up","Tester(IsCompletelyRegularSemigroup)","IsGroupAsSemigroup","Tester(IsGroupAsSemigroup)","IsMonoidAsSemigroup","Tester(IsMonoidAs\
+Semigroup)","IsOrthodoxSemigroup","Tester(IsOrthodoxSemigroup)","IsSubgroupFgGroup","IsSubgroupFpGroup","IsSubgroupOfWholeGroupByQuot\
+ientRep"]},"Tester(AsSubgroupOfWholeGroupByQuotient)" : {"type" : "GAP_Attribute","implied" : ["Tester(AsSubgroupOfWholeGroupByQuotie\
+nt)"]},"Tester(FreeGeneratorsOfFpGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(FreeGeneratorsOfFpGroup)"]},"Tester(Relator\
+sOfFpGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(RelatorsOfFpGroup)"]},"Tester(FreeGroupOfFpGroup)" : {"type" : "GAP_Att\
+ribute","implied" : ["Tester(FreeGroupOfFpGroup)"]},"Tester(IndicesInvolutaryGenerators)" : {"type" : "GAP_Attribute","implied" : ["T\
+ester(IndicesInvolutaryGenerators)"]},"Tester(StoredExcludedOrders)" : {"type" : "GAP_Attribute","implied" : ["Tester(StoredExcludedO\
+rders)"]},"Tester(FPFaithHom)" : {"type" : "GAP_Attribute","implied" : ["Tester(FPFaithHom)"]},"Tester(AugmentedCosetTableMtcInWholeG\
+roup)" : {"type" : "GAP_Attribute","implied" : ["Tester(AugmentedCosetTableMtcInWholeGroup)"]},"Tester(AugmentedCosetTableRrsInWholeG\
+roup)" : {"type" : "GAP_Attribute","implied" : ["Tester(AugmentedCosetTableRrsInWholeGroup)"]},"Tester(AugmentedCosetTableNormalClosu\
+reInWholeGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(AugmentedCosetTableNormalClosureInWholeGroup)"]},"IsPresentation" :\
+ {"type" : "GAP_Category","implied" : ["IsCopyable","IsPresentation"]},"Tester(PrimaryGeneratorWords)" : {"type" : "GAP_Attribute","i\
+mplied" : ["Tester(PrimaryGeneratorWords)"]},"Tester(TietzeOrigin)" : {"type" : "GAP_Attribute","implied" : ["Tester(TietzeOrigin)"]}\
+,"Tester(TzOptions)" : {"type" : "GAP_Attribute","implied" : ["Tester(TzOptions)"]},"Extrarankfilter" : {"type" : "GAP_Filter","impli\
+ed" : ["Extrarankfilter"]},"IsFromFpGroupGeneralMapping" : {"type" : "GAP_Category","implied" : ["IsExtLElement","IsExtRElement","IsM\
+ultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping"\
+,"RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInv\
+erses)","Extrarankfilter","IsFromFpGroupGeneralMapping"]},"IsFromFpGroupGeneralMappingByImages" : {"type" : "GAP_Representation","imp\
+lied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeEl\
+ementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplica\
+tion","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsGroupGene\
+ralMappingByImages","Extrarankfilter","IsFromFpGroupGeneralMapping","IsFromFpGroupGeneralMappingByImages"]},"IsFromFpGroupStdGensGene\
+ralMappingByImages" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsE\
+xtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","I\
+sGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","\
+RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages","Extrarankfilter","IsFromFpGroupGeneralMapping","IsFromF\
+pGroupGeneralMappingByImages","IsFromFpGroupStdGensGeneralMappingByImages"]},"IsToFpGroupGeneralMappingByImages" : {"type" : "GAP_Rep\
+resentation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","I\
+sMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","R\
+espectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInvers\
+es)","IsGroupGeneralMappingByImages","IsToFpGroupGeneralMappingByImages"]},"Tester(IsWordDecompHomomorphism)" : {"type" : "GAP_Tester\
+","implied" : ["Tester(IsWordDecompHomomorphism)"]},"Tester(CosetTableFpHom)" : {"type" : "GAP_Attribute","implied" : ["Tester(CosetT\
+ableFpHom)"]},"Tester(IsomorphismSimplifiedFpGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(IsomorphismSimplifiedFpGroup)"]\
+},"Tester(EpimorphismFromFreeGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(EpimorphismFromFreeGroup)"]},"IsCanonicalBasisI\
+ntegersRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsCanonicalBasisIntegersRep\
+"]},"Tester(NiceMonomorphism)" : {"type" : "GAP_Attribute","implied" : ["Tester(NiceMonomorphism)"]},"IsNiceMonomorphism" : {"type" :\
+ "GAP_Filter","implied" : ["IsNiceMonomorphism"]},"Tester(IsCanonicalNiceMonomorphism)" : {"type" : "GAP_Tester","implied" : ["Tester\
+(IsCanonicalNiceMonomorphism)"]},"Tester(CanonicalNiceMonomorphism)" : {"type" : "GAP_Attribute","implied" : ["Tester(CanonicalNiceMo\
+nomorphism)"]},"Tester(NiceObject)" : {"type" : "GAP_Attribute","implied" : ["Tester(NiceObject)"]},"Tester(IsHandledByNiceMonomorphi\
+sm)" : {"type" : "GAP_Tester","implied" : ["Tester(IsHandledByNiceMonomorphism)"]},"Tester(SeedFaithfulAction)" : {"type" : "GAP_Attr\
+ibute","implied" : ["Tester(SeedFaithfulAction)"]},"Tester(AutomorphismGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(Autom\
+orphismGroup)"]},"Tester(IsGroupOfAutomorphisms)" : {"type" : "GAP_Tester","implied" : ["Tester(IsGroupOfAutomorphisms)"]},"Tester(Is\
+GroupOfAutomorphismsFiniteGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsGroupOfAutomorphismsFiniteGroup)"]},"Tester(Automor\
+phismDomain)" : {"type" : "GAP_Attribute","implied" : ["Tester(AutomorphismDomain)"]},"Tester(IsAutomorphismGroup)" : {"type" : "GAP_\
+Tester","implied" : ["Tester(IsAutomorphismGroup)"]},"Tester(InnerAutomorphismsAutomorphismGroup)" : {"type" : "GAP_Attribute","impli\
+ed" : ["Tester(InnerAutomorphismsAutomorphismGroup)"]},"Tester(DefaultFieldOfMatrixGroup)" : {"type" : "GAP_Attribute","implied" : ["\
+Tester(DefaultFieldOfMatrixGroup)"]},"Tester(DimensionOfMatrixGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(DimensionOfMat\
+rixGroup)"]},"Tester(FieldOfMatrixGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(FieldOfMatrixGroup)"]},"Tester(TransposedM\
+atrixGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(TransposedMatrixGroup)"]},"Tester(IsGeneralLinearGroup)" : {"type" : "G\
+AP_Tester","implied" : ["Tester(IsGeneralLinearGroup)"]},"Tester(IsNaturalGL)" : {"type" : "GAP_Tester","implied" : ["Tester(IsNatura\
+lGL)"]},"Tester(IsSpecialLinearGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSpecialLinearGroup)"]},"Tester(IsNaturalSL)" :\
+ {"type" : "GAP_Tester","implied" : ["Tester(IsNaturalSL)"]},"Tester(IsSubgroupSL)" : {"type" : "GAP_Tester","implied" : ["Tester(IsS\
+ubgroupSL)"]},"Tester(InvariantBilinearForm)" : {"type" : "GAP_Attribute","implied" : ["Tester(InvariantBilinearForm)"]},"Tester(IsFu\
+llSubgroupGLorSLRespectingBilinearForm)" : {"type" : "GAP_Tester","implied" : ["Tester(IsFullSubgroupGLorSLRespectingBilinearForm)"]}\
+,"Tester(InvariantSesquilinearForm)" : {"type" : "GAP_Attribute","implied" : ["Tester(InvariantSesquilinearForm)"]},"Tester(IsFullSub\
+groupGLorSLRespectingSesquilinearForm)" : {"type" : "GAP_Tester","implied" : ["Tester(IsFullSubgroupGLorSLRespectingSesquilinearForm)\
+"]},"Tester(InvariantQuadraticForm)" : {"type" : "GAP_Attribute","implied" : ["Tester(InvariantQuadraticForm)"]},"Tester(IsFullSubgro\
+upGLorSLRespectingQuadraticForm)" : {"type" : "GAP_Tester","implied" : ["Tester(IsFullSubgroupGLorSLRespectingQuadraticForm)"]},"CanC\
+omputeFittingFree" : {"type" : "GAP_Filter","implied" : ["IsListOrCollection","IsCollection","IsFinite","Tester(IsFinite)","IsDuplica\
+teFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtREle\
+ment)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMu\
+ltiplicativeElementWithInverse)","CategoryCollections(IsFiniteOrderElement)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","IsMagm\
+aWithInversesIfNonzero","IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)","IsSimpl\
+eSemigroup","Tester(IsSimpleSemigroup)","IsRegularSemigroup","Tester(IsRegularSemigroup)","IsInverseSemigroup","Tester(IsInverseSemig\
+roup)","IsCompletelyRegularSemigroup","Tester(IsCompletelyRegularSemigroup)","IsCompletelySimpleSemigroup","Tester(IsCompletelySimple\
+Semigroup)","IsGroupAsSemigroup","Tester(IsGroupAsSemigroup)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsOrthodoxSemigrou\
+p","Tester(IsOrthodoxSemigroup)","IsFinitelyGeneratedGroup","Tester(IsFinitelyGeneratedGroup)","IsSubsetLocallyFiniteGroup","Tester(I\
+sSubsetLocallyFiniteGroup)","CanComputeFittingFree","IsNilpotentByFinite","Tester(IsNilpotentByFinite)"]},"Tester(FittingFreeLiftSetu\
+p)" : {"type" : "GAP_Attribute","implied" : ["Tester(FittingFreeLiftSetup)"]},"Tester(RecogDecompinfoHomomorphism)" : {"type" : "GAP_\
+Attribute","implied" : ["Tester(RecogDecompinfoHomomorphism)"]},"Tester(DirectFactorsFittingFreeSocle)" : {"type" : "GAP_Attribute","\
+implied" : ["Tester(DirectFactorsFittingFreeSocle)"]},"Tester(ChiefSeriesTF)" : {"type" : "GAP_Attribute","implied" : ["Tester(ChiefS\
+eriesTF)"]},"Tester(IsRationalMatrixGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsRationalMatrixGroup)"]},"Tester(IsInteger\
+MatrixGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsIntegerMatrixGroup)"]},"Tester(ZClassRepsQClass)" : {"type" : "GAP_Attr\
+ibute","implied" : ["Tester(ZClassRepsQClass)"]},"Tester(NormalizerInGLnZ)" : {"type" : "GAP_Attribute","implied" : ["Tester(Normaliz\
+erInGLnZ)"]},"Tester(CentralizerInGLnZ)" : {"type" : "GAP_Attribute","implied" : ["Tester(CentralizerInGLnZ)"]},"Tester(IsBravaisGrou\
+p)" : {"type" : "GAP_Tester","implied" : ["Tester(IsBravaisGroup)"]},"Tester(BravaisGroup)" : {"type" : "GAP_Attribute","implied" : [\
+"Tester(BravaisGroup)"]},"Tester(BravaisSubgroups)" : {"type" : "GAP_Attribute","implied" : ["Tester(BravaisSubgroups)"]},"Tester(Bra\
+vaisSupergroups)" : {"type" : "GAP_Attribute","implied" : ["Tester(BravaisSupergroups)"]},"Tester(NormalizerInGLnZBravaisGroup)" : {"\
+type" : "GAP_Attribute","implied" : ["Tester(NormalizerInGLnZBravaisGroup)"]},"Tester(InvariantLattice)" : {"type" : "GAP_Attribute",\
+"implied" : ["Tester(InvariantLattice)"]},"IsPerfectLibraryGroup" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCol\
+lection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCo\
+llections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","Categ\
+oryCollections(IsMultiplicativeElementWithInverse)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","\
+IsMagmaWithInverses","IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)","IsSimpleSemigroup","Tester(IsSim\
+pleSemigroup)","IsRegularSemigroup","Tester(IsRegularSemigroup)","IsInverseSemigroup","Tester(IsInverseSemigroup)","IsCompletelyRegul\
+arSemigroup","Tester(IsCompletelyRegularSemigroup)","IsGroupAsSemigroup","Tester(IsGroupAsSemigroup)","IsMonoidAsSemigroup","Tester(I\
+sMonoidAsSemigroup)","IsOrthodoxSemigroup","Tester(IsOrthodoxSemigroup)","IsPerfectLibraryGroup"]},"Tester(PerfectIdentification)" : \
+{"type" : "GAP_Attribute","implied" : ["Tester(PerfectIdentification)"]},"Tester(DataAboutSimpleGroup)" : {"type" : "GAP_Attribute","\
+implied" : ["Tester(DataAboutSimpleGroup)"]},"IsImfMatrixGroup" : {"type" : "GAP_Filter","implied" : ["IsImfMatrixGroup"]},"Tester(Im\
+fRecord)" : {"type" : "GAP_Attribute","implied" : ["Tester(ImfRecord)"]},"IsOrdering" : {"type" : "GAP_Category","implied" : ["IsOrde\
+ring"]},"Tester(OrderingsFamily)" : {"type" : "GAP_Attribute","implied" : ["Tester(OrderingsFamily)"]},"Tester(IsWellFoundedOrdering)\
+" : {"type" : "GAP_Tester","implied" : ["Tester(IsWellFoundedOrdering)"]},"Tester(IsTotalOrdering)" : {"type" : "GAP_Tester","implied\
+" : ["Tester(IsTotalOrdering)"]},"Tester(FamilyForOrdering)" : {"type" : "GAP_Attribute","implied" : ["Tester(FamilyForOrdering)"]},"\
+Tester(LessThanFunction)" : {"type" : "GAP_Attribute","implied" : ["Tester(LessThanFunction)"]},"Tester(LessThanOrEqualFunction)" : {\
+"type" : "GAP_Attribute","implied" : ["Tester(LessThanOrEqualFunction)"]},"Tester(IsOrderingOnFamilyOfAssocWords)" : {"type" : "GAP_T\
+ester","implied" : ["Tester(IsOrderingOnFamilyOfAssocWords)"]},"Tester(LetterRepWordsLessFunc)" : {"type" : "GAP_Attribute","implied"\
+ : ["Tester(LetterRepWordsLessFunc)"]},"Tester(IsTranslationInvariantOrdering)" : {"type" : "GAP_Tester","implied" : ["Tester(IsTrans\
+lationInvariantOrdering)"]},"Tester(OrderingOnGenerators)" : {"type" : "GAP_Attribute","implied" : ["Tester(OrderingOnGenerators)"]},\
+"Tester(IsShortLexOrdering)" : {"type" : "GAP_Tester","implied" : ["Tester(IsShortLexOrdering)"]},"Tester(WeightOfGenerators)" : {"ty\
+pe" : "GAP_Attribute","implied" : ["Tester(WeightOfGenerators)"]},"Tester(IsWeightLexOrdering)" : {"type" : "GAP_Tester","implied" : \
+["Tester(IsWeightLexOrdering)"]},"Tester(IsBasicWreathProductOrdering)" : {"type" : "GAP_Tester","implied" : ["Tester(IsBasicWreathPr\
+oductOrdering)"]},"Tester(IsWreathProductOrdering)" : {"type" : "GAP_Tester","implied" : ["Tester(IsWreathProductOrdering)"]},"Tester\
+(LevelsOfGenerators)" : {"type" : "GAP_Attribute","implied" : ["Tester(LevelsOfGenerators)"]},"Tester(LargestImageOfMovedPoint)" : {"\
+type" : "GAP_Attribute","implied" : ["Tester(LargestImageOfMovedPoint)"]},"Tester(SmallestImageOfMovedPoint)" : {"type" : "GAP_Attrib\
+ute","implied" : ["Tester(SmallestImageOfMovedPoint)"]},"Tester(RankOfTransformation)" : {"type" : "GAP_Attribute","implied" : ["Test\
+er(RankOfTransformation)"]},"Tester(AsPermutation)" : {"type" : "GAP_Attribute","implied" : ["Tester(AsPermutation)"]},"Tester(AsTran\
+sformation)" : {"type" : "GAP_Attribute","implied" : ["Tester(AsTransformation)"]},"Tester(PermutationOfImage)" : {"type" : "GAP_Attr\
+ibute","implied" : ["Tester(PermutationOfImage)"]},"Tester(DegreeOfTransformationCollection)" : {"type" : "GAP_Attribute","implied" :\
+ ["Tester(DegreeOfTransformationCollection)"]},"Tester(FlatKernelOfTransformation)" : {"type" : "GAP_Attribute","implied" : ["Tester(\
+FlatKernelOfTransformation)"]},"Tester(ImageSetOfTransformation)" : {"type" : "GAP_Attribute","implied" : ["Tester(ImageSetOfTransfor\
+mation)"]},"Tester(IndexPeriodOfTransformation)" : {"type" : "GAP_Attribute","implied" : ["Tester(IndexPeriodOfTransformation)"]},"Te\
+ster(KernelOfTransformation)" : {"type" : "GAP_Attribute","implied" : ["Tester(KernelOfTransformation)"]},"Tester(SmallestIdempotentP\
+ower)" : {"type" : "GAP_Attribute","implied" : ["Tester(SmallestIdempotentPower)"]},"Tester(ComponentRepsOfTransformation)" : {"type"\
+ : "GAP_Attribute","implied" : ["Tester(ComponentRepsOfTransformation)"]},"Tester(NrComponentsOfTransformation)" : {"type" : "GAP_Att\
+ribute","implied" : ["Tester(NrComponentsOfTransformation)"]},"Tester(ComponentsOfTransformation)" : {"type" : "GAP_Attribute","impli\
+ed" : ["Tester(ComponentsOfTransformation)"]},"Tester(CyclesOfTransformation)" : {"type" : "GAP_Attribute","implied" : ["Tester(Cycle\
+sOfTransformation)"]},"Tester(LeftOne)" : {"type" : "GAP_Attribute","implied" : ["Tester(LeftOne)"]},"Tester(RightOne)" : {"type" : "\
+GAP_Attribute","implied" : ["Tester(RightOne)"]},"Tester(DomainOfPartialPerm)" : {"type" : "GAP_Attribute","implied" : ["Tester(Domai\
+nOfPartialPerm)"]},"Tester(ImageListOfPartialPerm)" : {"type" : "GAP_Attribute","implied" : ["Tester(ImageListOfPartialPerm)"]},"Test\
+er(ImageSetOfPartialPerm)" : {"type" : "GAP_Attribute","implied" : ["Tester(ImageSetOfPartialPerm)"]},"Tester(IndexPeriodOfPartialPer\
+m)" : {"type" : "GAP_Attribute","implied" : ["Tester(IndexPeriodOfPartialPerm)"]},"Tester(ComponentRepsOfPartialPerm)" : {"type" : "G\
+AP_Attribute","implied" : ["Tester(ComponentRepsOfPartialPerm)"]},"Tester(NrComponentsOfPartialPerm)" : {"type" : "GAP_Attribute","im\
+plied" : ["Tester(NrComponentsOfPartialPerm)"]},"Tester(ComponentsOfPartialPerm)" : {"type" : "GAP_Attribute","implied" : ["Tester(Co\
+mponentsOfPartialPerm)"]},"Tester(FixedPointsOfPartialPerm)" : {"type" : "GAP_Attribute","implied" : ["Tester(FixedPointsOfPartialPer\
+m)"]},"Tester(NrFixedPoints)" : {"type" : "GAP_Attribute","implied" : ["Tester(NrFixedPoints)"]},"Tester(DegreeOfPartialPermCollectio\
+n)" : {"type" : "GAP_Attribute","implied" : ["Tester(DegreeOfPartialPermCollection)"]},"Tester(CodegreeOfPartialPermCollection)" : {"\
+type" : "GAP_Attribute","implied" : ["Tester(CodegreeOfPartialPermCollection)"]},"Tester(RankOfPartialPermCollection)" : {"type" : "G\
+AP_Attribute","implied" : ["Tester(RankOfPartialPermCollection)"]},"Tester(DomainOfPartialPermCollection)" : {"type" : "GAP_Attribute\
+","implied" : ["Tester(DomainOfPartialPermCollection)"]},"Tester(ImageOfPartialPermCollection)" : {"type" : "GAP_Attribute","implied"\
+ : ["Tester(ImageOfPartialPermCollection)"]},"Tester(TransformationRepresentation)" : {"type" : "GAP_Attribute","implied" : ["Tester(\
+TransformationRepresentation)"]},"IsElementOfFpSemigroup" : {"type" : "GAP_Category","implied" : ["IsExtLElement","IsExtRElement","Is\
+MultiplicativeElement","IsAssociativeElement","IsElementOfFpSemigroup"]},"CategoryCollections(IsElementOfFpSemigroup)" : {"type" : "G\
+AP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","C\
+ategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsAssociativeElement)","IsGene\
+ratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsElementOfFpSemigroup)"]},"CategoryFamily(IsElementOfFpSem\
+igroup)" : {"type" : "GAP_Category","implied" : ["IsFamily","CategoryFamily(IsElementOfFpSemigroup)"]},"Tester(FreeGeneratorsOfFpSemi\
+group)" : {"type" : "GAP_Attribute","implied" : ["Tester(FreeGeneratorsOfFpSemigroup)"]},"Tester(FreeSemigroupOfFpSemigroup)" : {"typ\
+e" : "GAP_Attribute","implied" : ["Tester(FreeSemigroupOfFpSemigroup)"]},"Tester(RelationsOfFpSemigroup)" : {"type" : "GAP_Attribute"\
+,"implied" : ["Tester(RelationsOfFpSemigroup)"]},"Tester(IsomorphismFpSemigroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(Is\
+omorphismFpSemigroup)"]},"IsElementOfFpMonoid" : {"type" : "GAP_Category","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicat\
+iveElement","IsMultiplicativeElementWithOne","IsAssociativeElement","IsElementOfFpMonoid"]},"CategoryCollections(IsElementOfFpMonoid)\
+" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","I\
+sExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicati\
+veElementWithOne)","CategoryCollections(IsAssociativeElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryC\
+ollections(IsElementOfFpMonoid)"]},"CategoryFamily(IsElementOfFpMonoid)" : {"type" : "GAP_Category","implied" : ["IsFamily","Category\
+Family(IsElementOfFpMonoid)"]},"Tester(FreeGeneratorsOfFpMonoid)" : {"type" : "GAP_Attribute","implied" : ["Tester(FreeGeneratorsOfFp\
+Monoid)"]},"Tester(FreeMonoidOfFpMonoid)" : {"type" : "GAP_Attribute","implied" : ["Tester(FreeMonoidOfFpMonoid)"]},"Tester(Relations\
+OfFpMonoid)" : {"type" : "GAP_Attribute","implied" : ["Tester(RelationsOfFpMonoid)"]},"Tester(IsomorphismFpMonoid)" : {"type" : "GAP_\
+Attribute","implied" : ["Tester(IsomorphismFpMonoid)"]},"Tester(ReducedConfluentRewritingSystem)" : {"type" : "GAP_Attribute","implie\
+d" : ["Tester(ReducedConfluentRewritingSystem)"]},"Tester(FreeMonoidOfRewritingSystem)" : {"type" : "GAP_Attribute","implied" : ["Tes\
+ter(FreeMonoidOfRewritingSystem)"]},"Tester(FamilyForRewritingSystem)" : {"type" : "GAP_Attribute","implied" : ["Tester(FamilyForRewr\
+itingSystem)"]},"Tester(FreeSemigroupOfRewritingSystem)" : {"type" : "GAP_Attribute","implied" : ["Tester(FreeSemigroupOfRewritingSys\
+tem)"]},"IsKnuthBendixRewritingSystem" : {"type" : "GAP_Category","implied" : ["IsCopyable","IsRewritingSystem","IsKnuthBendixRewriti\
+ngSystem"]},"Tester(TzRules)" : {"type" : "GAP_Attribute","implied" : ["Tester(TzRules)"]},"Tester(CosetTableOfFpSemigroup)" : {"type\
+" : "GAP_Attribute","implied" : ["Tester(CosetTableOfFpSemigroup)"]},"IsMonoidByAdjoiningIdentityElt" : {"type" : "GAP_Category","imp\
+lied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsAssociativeElement","IsMonoidB\
+yAdjoiningIdentityElt"]},"IsMonoidByAdjoiningIdentity" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","I\
+sDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(I\
+sExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","IsGeneralizedDom\
+ain","IsMagma","IsMagmaWithOne","IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)","IsMonoidAsSemigroup",\
+"Tester(IsMonoidAsSemigroup)","IsMonoidByAdjoiningIdentity"]},"Tester(AdjoinedIdentityFamily)" : {"type" : "GAP_Attribute","implied" \
+: ["Tester(AdjoinedIdentityFamily)"]},"Tester(UnderlyingSemigroupFamily)" : {"type" : "GAP_Attribute","implied" : ["Tester(Underlying\
+SemigroupFamily)"]},"Tester(AdjoinedIdentityDefaultType)" : {"type" : "GAP_Attribute","implied" : ["Tester(AdjoinedIdentityDefaultTyp\
+e)"]},"IsMonoidByAdjoiningIdentityEltRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsMonoidByAdjoiningI\
+dentityEltRep"]},"Tester(MonoidByAdjoiningIdentity)" : {"type" : "GAP_Attribute","implied" : ["Tester(MonoidByAdjoiningIdentity)"]},"\
+Tester(UnderlyingSemigroupOfMonoidByAdjoiningIdentity)" : {"type" : "GAP_Attribute","implied" : ["Tester(UnderlyingSemigroupOfMonoidB\
+yAdjoiningIdentity)"]},"Tester(MonoidByAdjoiningIdentityElt)" : {"type" : "GAP_Attribute","implied" : ["Tester(MonoidByAdjoiningIdent\
+ityElt)"]},"Tester(UnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt)" : {"type" : "GAP_Attribute","implied" : ["Tester(Underl\
+yingSemigroupElementOfMonoidByAdjoiningIdentityElt)"]},"IsGreensRelation" : {"type" : "GAP_Category","implied" : ["IsEndoGeneralMappi\
+ng","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsReflexiveBinaryRelation","Tester(IsReflexiveBinaryRelation)","IsSym\
+metricBinaryRelation","Tester(IsSymmetricBinaryRelation)","IsTransitiveBinaryRelation","Tester(IsTransitiveBinaryRelation)","IsPreOrd\
+erBinaryRelation","Tester(IsPreOrderBinaryRelation)","IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsGreensRelation"]},"Is\
+GreensRRelation" : {"type" : "GAP_Category","implied" : ["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTo\
+tal)","IsReflexiveBinaryRelation","Tester(IsReflexiveBinaryRelation)","IsSymmetricBinaryRelation","Tester(IsSymmetricBinaryRelation)"\
+,"IsTransitiveBinaryRelation","Tester(IsTransitiveBinaryRelation)","IsPreOrderBinaryRelation","Tester(IsPreOrderBinaryRelation)","IsE\
+quivalenceRelation","Tester(IsEquivalenceRelation)","IsGreensRelation","IsGreensRRelation"]},"IsGreensLRelation" : {"type" : "GAP_Cat\
+egory","implied" : ["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsReflexiveBinaryRelation","Te\
+ster(IsReflexiveBinaryRelation)","IsSymmetricBinaryRelation","Tester(IsSymmetricBinaryRelation)","IsTransitiveBinaryRelation","Tester\
+(IsTransitiveBinaryRelation)","IsPreOrderBinaryRelation","Tester(IsPreOrderBinaryRelation)","IsEquivalenceRelation","Tester(IsEquival\
+enceRelation)","IsGreensRelation","IsGreensLRelation"]},"IsGreensJRelation" : {"type" : "GAP_Category","implied" : ["IsEndoGeneralMap\
+ping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsReflexiveBinaryRelation","Tester(IsReflexiveBinaryRelation)","IsS\
+ymmetricBinaryRelation","Tester(IsSymmetricBinaryRelation)","IsTransitiveBinaryRelation","Tester(IsTransitiveBinaryRelation)","IsPreO\
+rderBinaryRelation","Tester(IsPreOrderBinaryRelation)","IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsGreensRelation","Is\
+GreensJRelation"]},"IsGreensHRelation" : {"type" : "GAP_Category","implied" : ["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)",\
+"IsTotal","Tester(IsTotal)","IsReflexiveBinaryRelation","Tester(IsReflexiveBinaryRelation)","IsSymmetricBinaryRelation","Tester(IsSym\
+metricBinaryRelation)","IsTransitiveBinaryRelation","Tester(IsTransitiveBinaryRelation)","IsPreOrderBinaryRelation","Tester(IsPreOrde\
+rBinaryRelation)","IsEquivalenceRelation","Tester(IsEquivalenceRelation)","IsGreensRelation","IsGreensHRelation"]},"IsGreensDRelation\
+" : {"type" : "GAP_Category","implied" : ["IsEndoGeneralMapping","Tester(IsEndoGeneralMapping)","IsTotal","Tester(IsTotal)","IsReflex\
+iveBinaryRelation","Tester(IsReflexiveBinaryRelation)","IsSymmetricBinaryRelation","Tester(IsSymmetricBinaryRelation)","IsTransitiveB\
+inaryRelation","Tester(IsTransitiveBinaryRelation)","IsPreOrderBinaryRelation","Tester(IsPreOrderBinaryRelation)","IsEquivalenceRelat\
+ion","Tester(IsEquivalenceRelation)","IsGreensRelation","IsGreensDRelation"]},"Tester(IsFiniteSemigroupGreensRelation)" : {"type" : "\
+GAP_Tester","implied" : ["Tester(IsFiniteSemigroupGreensRelation)"]},"Tester(GreensRRelation)" : {"type" : "GAP_Attribute","implied" \
+: ["Tester(GreensRRelation)"]},"Tester(GreensLRelation)" : {"type" : "GAP_Attribute","implied" : ["Tester(GreensLRelation)"]},"Tester\
+(GreensJRelation)" : {"type" : "GAP_Attribute","implied" : ["Tester(GreensJRelation)"]},"Tester(GreensDRelation)" : {"type" : "GAP_At\
+tribute","implied" : ["Tester(GreensDRelation)"]},"Tester(GreensHRelation)" : {"type" : "GAP_Attribute","implied" : ["Tester(GreensHR\
+elation)"]},"Tester(AssociatedConcreteSemigroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(AssociatedConcreteSemigroup)"]},"T\
+ester(AssociatedFpSemigroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(AssociatedFpSemigroup)"]},"IsGreensClass" : {"type" : \
+"GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","Is\
+EquivalenceClass","IsGreensClass"]},"IsGreensRClass" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsD\
+uplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsEquivalenceClass","IsGreensClass","IsGreensRClass"]},"IsGreensLClass\
+" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGenerali\
+zedDomain","IsEquivalenceClass","IsGreensClass","IsGreensLClass"]},"IsGreensJClass" : {"type" : "GAP_Category","implied" : ["IsListOr\
+Collection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsEquivalenceClass","IsGreensClass","Is\
+GreensJClass"]},"IsGreensHClass" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Teste\
+r(IsDuplicateFree)","IsGeneralizedDomain","IsEquivalenceClass","IsGreensClass","IsGreensHClass"]},"IsGreensDClass" : {"type" : "GAP_C\
+ategory","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsEquiva\
+lenceClass","IsGreensClass","IsGreensDClass"]},"Tester(GreensRClasses)" : {"type" : "GAP_Attribute","implied" : ["Tester(GreensRClass\
+es)"]},"Tester(GreensLClasses)" : {"type" : "GAP_Attribute","implied" : ["Tester(GreensLClasses)"]},"Tester(GreensJClasses)" : {"type\
+" : "GAP_Attribute","implied" : ["Tester(GreensJClasses)"]},"Tester(GreensDClasses)" : {"type" : "GAP_Attribute","implied" : ["Tester\
+(GreensDClasses)"]},"Tester(GreensHClasses)" : {"type" : "GAP_Attribute","implied" : ["Tester(GreensHClasses)"]},"Tester(RClassOfHCla\
+ss)" : {"type" : "GAP_Attribute","implied" : ["Tester(RClassOfHClass)"]},"Tester(LClassOfHClass)" : {"type" : "GAP_Attribute","implie\
+d" : ["Tester(LClassOfHClass)"]},"Tester(DClassOfHClass)" : {"type" : "GAP_Attribute","implied" : ["Tester(DClassOfHClass)"]},"Tester\
+(DClassOfLClass)" : {"type" : "GAP_Attribute","implied" : ["Tester(DClassOfLClass)"]},"Tester(DClassOfRClass)" : {"type" : "GAP_Attri\
+bute","implied" : ["Tester(DClassOfRClass)"]},"Tester(GroupHClassOfGreensDClass)" : {"type" : "GAP_Attribute","implied" : ["Tester(Gr\
+oupHClassOfGreensDClass)"]},"Tester(IsRegularDClass)" : {"type" : "GAP_Tester","implied" : ["Tester(IsRegularDClass)"]},"Tester(IsGro\
+upHClass)" : {"type" : "GAP_Tester","implied" : ["Tester(IsGroupHClass)"]},"Tester(EggBoxOfDClass)" : {"type" : "GAP_Attribute","impl\
+ied" : ["Tester(EggBoxOfDClass)"]},"Tester(InternalRepGreensRelation)" : {"type" : "GAP_Attribute","implied" : ["Tester(InternalRepGr\
+eensRelation)"]},"Tester(CanonicalGreensClass)" : {"type" : "GAP_Attribute","implied" : ["Tester(CanonicalGreensClass)"]},"IsSemigrou\
+pGeneralMappingRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsE\
+xtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","I\
+sGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","IsSemigroupGeneralMappingRep"]},"IsS\
+emigroupHomomorphismByImagesRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsSemi\
+groupHomomorphismByImagesRep"]},"Tester(IsFpSemigpReducedElt)" : {"type" : "GAP_Tester","implied" : ["Tester(IsFpSemigpReducedElt)"]}\
+,"Tester(IsFpMonoidReducedElt)" : {"type" : "GAP_Tester","implied" : ["Tester(IsFpMonoidReducedElt)"]},"Tester(IsFullTransformationSe\
+migroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsFullTransformationSemigroup)"]},"Tester(DegreeOfTransformationSemigroup)" :\
+ {"type" : "GAP_Attribute","implied" : ["Tester(DegreeOfTransformationSemigroup)"]},"Tester(IsomorphismTransformationSemigroup)" : {"\
+type" : "GAP_Attribute","implied" : ["Tester(IsomorphismTransformationSemigroup)"]},"Tester(IsomorphismTransformationMonoid)" : {"typ\
+e" : "GAP_Attribute","implied" : ["Tester(IsomorphismTransformationMonoid)"]},"Tester(AntiIsomorphismTransformationSemigroup)" : {"ty\
+pe" : "GAP_Attribute","implied" : ["Tester(AntiIsomorphismTransformationSemigroup)"]},"IsReesMatrixSemigroupElement" : {"type" : "GAP\
+_Category","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAssociativeElement","IsReesMatrixSemigroupElemen\
+t"]},"IsReesZeroMatrixSemigroupElement" : {"type" : "GAP_Category","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElem\
+ent","IsAssociativeElement","IsReesZeroMatrixSemigroupElement"]},"CategoryCollections(IsReesMatrixSemigroupElement)" : {"type" : "GAP\
+_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","Cat\
+egoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsAssociativeElement)","IsGenera\
+torsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsReesMatrixSemigroupElement)"]},"CategoryCollections(IsReesZ\
+eroMatrixSemigroupElement)" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryColl\
+ections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","Category\
+Collections(IsAssociativeElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","CategoryCollections(IsReesZeroMatrixS\
+emigroupElement)"]},"Tester(IsReesMatrixSemigroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsReesMatrixSemigroup)"]},"Tester(I\
+sReesZeroMatrixSemigroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsReesZeroMatrixSemigroup)"]},"Tester(Matrix)" : {"type" : "\
+GAP_Attribute","implied" : ["Tester(Matrix)"]},"Tester(Rows)" : {"type" : "GAP_Attribute","implied" : ["Tester(Rows)"]},"Tester(Colum\
+ns)" : {"type" : "GAP_Attribute","implied" : ["Tester(Columns)"]},"Tester(UnderlyingSemigroup)" : {"type" : "GAP_Attribute","implied"\
+ : ["Tester(UnderlyingSemigroup)"]},"Tester(AssociatedReesMatrixSemigroupOfDClass)" : {"type" : "GAP_Attribute","implied" : ["Tester(\
+AssociatedReesMatrixSemigroupOfDClass)"]},"Tester(IsomorphismReesMatrixSemigroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(I\
+somorphismReesMatrixSemigroup)"]},"Tester(IsomorphismReesZeroMatrixSemigroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(Isomo\
+rphismReesZeroMatrixSemigroup)"]},"Tester(ReesMatrixSemigroupOfFamily)" : {"type" : "GAP_Attribute","implied" : ["Tester(ReesMatrixSe\
+migroupOfFamily)"]},"Tester(TypeReesMatrixSemigroupElements)" : {"type" : "GAP_Attribute","implied" : ["Tester(TypeReesMatrixSemigrou\
+pElements)"]},"IsQuotientSemigroup" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Te\
+ster(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","Cat\
+egoryCollections(IsMultiplicativeElement)","IsGeneralizedDomain","IsMagma","IsAssociative","Tester(IsAssociative)","IsQuotientSemigro\
+up"]},"Tester(QuotientSemigroupPreimage)" : {"type" : "GAP_Attribute","implied" : ["Tester(QuotientSemigroupPreimage)"]},"Tester(Quot\
+ientSemigroupCongruence)" : {"type" : "GAP_Attribute","implied" : ["Tester(QuotientSemigroupCongruence)"]},"Tester(QuotientSemigroupH\
+omomorphism)" : {"type" : "GAP_Attribute","implied" : ["Tester(QuotientSemigroupHomomorphism)"]},"Tester(DegreeOfPartialPermSemigroup\
+)" : {"type" : "GAP_Attribute","implied" : ["Tester(DegreeOfPartialPermSemigroup)"]},"Tester(CodegreeOfPartialPermSemigroup)" : {"typ\
+e" : "GAP_Attribute","implied" : ["Tester(CodegreeOfPartialPermSemigroup)"]},"Tester(RankOfPartialPermSemigroup)" : {"type" : "GAP_At\
+tribute","implied" : ["Tester(RankOfPartialPermSemigroup)"]},"Tester(IsSymmetricInverseSemigroup)" : {"type" : "GAP_Tester","implied"\
+ : ["Tester(IsSymmetricInverseSemigroup)"]},"Tester(IsomorphismPartialPermSemigroup)" : {"type" : "GAP_Attribute","implied" : ["Teste\
+r(IsomorphismPartialPermSemigroup)"]},"Tester(IsomorphismPartialPermMonoid)" : {"type" : "GAP_Attribute","implied" : ["Tester(Isomorp\
+hismPartialPermMonoid)"]},"IsNearlyCharacterTable" : {"type" : "GAP_Category","implied" : ["IsNearlyCharacterTable"]},"IsCharacterTab\
+le" : {"type" : "GAP_Category","implied" : ["IsNearlyCharacterTable","IsCharacterTable"]},"IsOrdinaryTable" : {"type" : "GAP_Category\
+","implied" : ["IsNearlyCharacterTable","IsCharacterTable","IsOrdinaryTable"]},"IsBrauerTable" : {"type" : "GAP_Category","implied" :\
+ ["IsNearlyCharacterTable","IsCharacterTable","IsBrauerTable"]},"IsCharacterTableInProgress" : {"type" : "GAP_Category","implied" : [\
+"IsNearlyCharacterTable","IsCharacterTableInProgress"]},"Tester(UnderlyingGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(Un\
+derlyingGroup)"]},"Tester(IdentificationOfConjugacyClasses)" : {"type" : "GAP_Attribute","implied" : ["Tester(IdentificationOfConjuga\
+cyClasses)"]},"Tester(CharacterDegrees)" : {"type" : "GAP_Attribute","implied" : ["Tester(CharacterDegrees)"]},"Tester(Irr)" : {"type\
+" : "GAP_Attribute","implied" : ["Tester(Irr)"]},"Tester(LinearCharacters)" : {"type" : "GAP_Attribute","implied" : ["Tester(LinearCh\
+aracters)"]},"Tester(IBr)" : {"type" : "GAP_Attribute","implied" : ["Tester(IBr)"]},"Tester(OrdinaryCharacterTable)" : {"type" : "GAP\
+_Attribute","implied" : ["Tester(OrdinaryCharacterTable)"]},"Tester(IsAlmostSimpleCharacterTable)" : {"type" : "GAP_Tester","implied"\
+ : ["Tester(IsAlmostSimpleCharacterTable)"]},"Tester(IsMonomialCharacterTable)" : {"type" : "GAP_Tester","implied" : ["Tester(IsMonom\
+ialCharacterTable)"]},"Tester(IsNilpotentCharacterTable)" : {"type" : "GAP_Tester","implied" : ["Tester(IsNilpotentCharacterTable)"]}\
+,"Tester(IsPerfectCharacterTable)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPerfectCharacterTable)"]},"Tester(IsSimpleCharacte\
+rTable)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSimpleCharacterTable)"]},"Tester(IsSolvableCharacterTable)" : {"type" : "GAP\
+_Tester","implied" : ["Tester(IsSolvableCharacterTable)"]},"Tester(IsSporadicSimpleCharacterTable)" : {"type" : "GAP_Tester","implied\
+" : ["Tester(IsSporadicSimpleCharacterTable)"]},"Tester(IsSupersolvableCharacterTable)" : {"type" : "GAP_Tester","implied" : ["Tester\
+(IsSupersolvableCharacterTable)"]},"Tester(OrdersClassRepresentatives)" : {"type" : "GAP_Attribute","implied" : ["Tester(OrdersClassR\
+epresentatives)"]},"Tester(SizesCentralizers)" : {"type" : "GAP_Attribute","implied" : ["Tester(SizesCentralizers)"]},"Tester(SizesCo\
+njugacyClasses)" : {"type" : "GAP_Attribute","implied" : ["Tester(SizesConjugacyClasses)"]},"Tester(AutomorphismsOfTable)" : {"type" \
+: "GAP_Attribute","implied" : ["Tester(AutomorphismsOfTable)"]},"Tester(UnderlyingCharacteristic)" : {"type" : "GAP_Attribute","impli\
+ed" : ["Tester(UnderlyingCharacteristic)"]},"Tester(ClassNames)" : {"type" : "GAP_Attribute","implied" : ["Tester(ClassNames)"]},"Tes\
+ter(CharacterNames)" : {"type" : "GAP_Attribute","implied" : ["Tester(CharacterNames)"]},"Tester(ClassParameters)" : {"type" : "GAP_A\
+ttribute","implied" : ["Tester(ClassParameters)"]},"Tester(CharacterParameters)" : {"type" : "GAP_Attribute","implied" : ["Tester(Cha\
+racterParameters)"]},"Tester(Identifier)" : {"type" : "GAP_Attribute","implied" : ["Tester(Identifier)"]},"Tester(InverseClasses)" : \
+{"type" : "GAP_Attribute","implied" : ["Tester(InverseClasses)"]},"Tester(RealClasses)" : {"type" : "GAP_Attribute","implied" : ["Tes\
+ter(RealClasses)"]},"Tester(ClassRoots)" : {"type" : "GAP_Attribute","implied" : ["Tester(ClassRoots)"]},"Tester(ClassPositionsOfNorm\
+alSubgroups)" : {"type" : "GAP_Attribute","implied" : ["Tester(ClassPositionsOfNormalSubgroups)"]},"Tester(ClassPositionsOfMaximalNor\
+malSubgroups)" : {"type" : "GAP_Attribute","implied" : ["Tester(ClassPositionsOfMaximalNormalSubgroups)"]},"Tester(ClassPositionsOfMi\
+nimalNormalSubgroups)" : {"type" : "GAP_Attribute","implied" : ["Tester(ClassPositionsOfMinimalNormalSubgroups)"]},"Tester(ClassPosit\
+ionsOfCentre)" : {"type" : "GAP_Attribute","implied" : ["Tester(ClassPositionsOfCentre)"]},"Tester(ClassPositionsOfDirectProductDecom\
+positions)" : {"type" : "GAP_Attribute","implied" : ["Tester(ClassPositionsOfDirectProductDecompositions)"]},"Tester(ClassPositionsOf\
+DerivedSubgroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(ClassPositionsOfDerivedSubgroup)"]},"Tester(ClassPositionsOfElemen\
+taryAbelianSeries)" : {"type" : "GAP_Attribute","implied" : ["Tester(ClassPositionsOfElementaryAbelianSeries)"]},"Tester(ClassPositio\
+nsOfFittingSubgroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(ClassPositionsOfFittingSubgroup)"]},"Tester(ClassPositionsOfSo\
+lvableRadical)" : {"type" : "GAP_Attribute","implied" : ["Tester(ClassPositionsOfSolvableRadical)"]},"Tester(ClassPositionsOfLowerCen\
+tralSeries)" : {"type" : "GAP_Attribute","implied" : ["Tester(ClassPositionsOfLowerCentralSeries)"]},"Tester(ClassPositionsOfUpperCen\
+tralSeries)" : {"type" : "GAP_Attribute","implied" : ["Tester(ClassPositionsOfUpperCentralSeries)"]},"Tester(ClassPositionsOfSolvable\
+Residuum)" : {"type" : "GAP_Attribute","implied" : ["Tester(ClassPositionsOfSolvableResiduum)"]},"Tester(ClassPositionsOfSupersolvabl\
+eResiduum)" : {"type" : "GAP_Attribute","implied" : ["Tester(ClassPositionsOfSupersolvableResiduum)"]},"Tester(ComputedPrimeBlockss)"\
+ : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedPrimeBlockss)"]},"Tester(BlocksInfo)" : {"type" : "GAP_Attribute","implied"\
+ : ["Tester(BlocksInfo)"]},"Tester(DecompositionMatrix)" : {"type" : "GAP_Attribute","implied" : ["Tester(DecompositionMatrix)"]},"Te\
+ster(ComputedIsPSolvableCharacterTables)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedIsPSolvableCharacterTables)"]},"Te\
+ster(ComputedIndicators)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedIndicators)"]},"Tester(ComputedBrauerTables)" : {"\
+type" : "GAP_Attribute","implied" : ["Tester(ComputedBrauerTables)"]},"Tester(DisplayOptions)" : {"type" : "GAP_Attribute","implied" \
+: ["Tester(DisplayOptions)"]},"Tester(FactorsOfDirectProduct)" : {"type" : "GAP_Attribute","implied" : ["Tester(FactorsOfDirectProduc\
+t)"]},"Tester(CharacterTableIsoclinic)" : {"type" : "GAP_Attribute","implied" : ["Tester(CharacterTableIsoclinic)"]},"Tester(SourceOf\
+IsoclinicTable)" : {"type" : "GAP_Attribute","implied" : ["Tester(SourceOfIsoclinicTable)"]},"Tester(ClassPermutation)" : {"type" : "\
+GAP_Attribute","implied" : ["Tester(ClassPermutation)"]},"Tester(NormalSubgroupClassesInfo)" : {"type" : "GAP_Attribute","implied" : \
+["Tester(NormalSubgroupClassesInfo)"]},"IsLibraryCharacterTableRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectR\
+ep","IsAttributeStoringRep","IsLibraryCharacterTableRep"]},"IsGenericCharacterTableRep" : {"type" : "GAP_Representation","implied" : \
+["IsNearlyCharacterTable","IsGenericCharacterTableRep"]},"IsClassFunction" : {"type" : "GAP_Category","implied" : ["IsList","IsDenseL\
+ist","IsHomogeneousList","IsListOrCollection","IsCollection","IsFinite","Tester(IsFinite)","IsExtAElement","CategoryCollections(IsExt\
+AElement)","IsNearAdditiveElement","CategoryCollections(IsNearAdditiveElement)","IsNearAdditiveElementWithZero","CategoryCollections(\
+IsNearAdditiveElementWithZero)","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","IsAdditiv\
+eElement","CategoryCollections(IsAdditiveElement)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryColl\
+ections(IsExtRElement)","IsMultiplicativeElement","CategoryCollections(IsMultiplicativeElement)","IsMultiplicativeElementWithOne","Ca\
+tegoryCollections(IsMultiplicativeElementWithOne)","IsMultiplicativeElementWithInverse","CategoryCollections(IsMultiplicativeElementW\
+ithInverse)","IsGeneralizedRowVector","IsAssociativeElement","IsCommutativeElement","IsClassFunction"]},"Tester(UnderlyingCharacterTa\
+ble)" : {"type" : "GAP_Attribute","implied" : ["Tester(UnderlyingCharacterTable)"]},"Tester(ValuesOfClassFunction)" : {"type" : "GAP_\
+Attribute","implied" : ["Tester(ValuesOfClassFunction)"]},"Tester(GlobalPartitionOfClasses)" : {"type" : "GAP_Attribute","implied" : \
+["Tester(GlobalPartitionOfClasses)"]},"Tester(TrivialCharacter)" : {"type" : "GAP_Attribute","implied" : ["Tester(TrivialCharacter)"]\
+},"Tester(NaturalCharacter)" : {"type" : "GAP_Attribute","implied" : ["Tester(NaturalCharacter)"]},"Tester(IsCharacter)" : {"type" : \
+"GAP_Tester","implied" : ["Tester(IsCharacter)"]},"Tester(IsVirtualCharacter)" : {"type" : "GAP_Tester","implied" : ["Tester(IsVirtua\
+lCharacter)"]},"Tester(IsIrreducibleCharacter)" : {"type" : "GAP_Tester","implied" : ["Tester(IsIrreducibleCharacter)"]},"Tester(Cent\
+reOfCharacter)" : {"type" : "GAP_Attribute","implied" : ["Tester(CentreOfCharacter)"]},"Tester(ConstituentsOfCharacter)" : {"type" : \
+"GAP_Attribute","implied" : ["Tester(ConstituentsOfCharacter)"]},"Tester(DegreeOfCharacter)" : {"type" : "GAP_Attribute","implied" : \
+["Tester(DegreeOfCharacter)"]},"Tester(KernelOfCharacter)" : {"type" : "GAP_Attribute","implied" : ["Tester(KernelOfCharacter)"]},"Te\
+ster(ClassPositionsOfKernel)" : {"type" : "GAP_Attribute","implied" : ["Tester(ClassPositionsOfKernel)"]},"Tester(CentralCharacter)" \
+: {"type" : "GAP_Attribute","implied" : ["Tester(CentralCharacter)"]},"Tester(DeterminantOfCharacter)" : {"type" : "GAP_Attribute","i\
+mplied" : ["Tester(DeterminantOfCharacter)"]},"Tester(BrauerCharacterValue)" : {"type" : "GAP_Attribute","implied" : ["Tester(BrauerC\
+haracterValue)"]},"IsClassFunctionsSpace" : {"type" : "GAP_Filter","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsLis\
+tOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","Categ\
+oryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElemen\
+tWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpEProd","IsDistributiveLOpD\
+Sum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAddi\
+tiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByNiceBasis","IsClassFunctionsSpa\
+ce"]},"Tester(ComputedPowerMaps)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedPowerMaps)"]},"Tester(FusionConjugacyClass\
+esOp)" : {"type" : "GAP_Attribute","implied" : ["Tester(FusionConjugacyClassesOp)"]},"Tester(ComputedClassFusions)" : {"type" : "GAP_\
+Attribute","implied" : ["Tester(ComputedClassFusions)"]},"Tester(NamesOfFusionSources)" : {"type" : "GAP_Attribute","implied" : ["Tes\
+ter(NamesOfFusionSources)"]},"Tester(BaumClausenInfo)" : {"type" : "GAP_Attribute","implied" : ["Tester(BaumClausenInfo)"]},"Tester(I\
+rreducibleRepresentations)" : {"type" : "GAP_Attribute","implied" : ["Tester(IrreducibleRepresentations)"]},"Tester(IrrBaumClausen)" \
+: {"type" : "GAP_Attribute","implied" : ["Tester(IrrBaumClausen)"]},"Tester(IrrConlon)" : {"type" : "GAP_Attribute","implied" : ["Tes\
+ter(IrrConlon)"]},"Tester(MolienSeriesInfo)" : {"type" : "GAP_Attribute","implied" : ["Tester(MolienSeriesInfo)"]},"Tester(Alpha)" : \
+{"type" : "GAP_Attribute","implied" : ["Tester(Alpha)"]},"Tester(Delta)" : {"type" : "GAP_Attribute","implied" : ["Tester(Delta)"]},"\
+Tester(IsBergerCondition)" : {"type" : "GAP_Tester","implied" : ["Tester(IsBergerCondition)"]},"Tester(IsPrimitiveCharacter)" : {"typ\
+e" : "GAP_Tester","implied" : ["Tester(IsPrimitiveCharacter)"]},"Tester(TestQuasiPrimitive)" : {"type" : "GAP_Attribute","implied" : \
+["Tester(TestQuasiPrimitive)"]},"Tester(IsQuasiPrimitive)" : {"type" : "GAP_Tester","implied" : ["Tester(IsQuasiPrimitive)"]},"Tester\
+(IsInducedFromNormalSubgroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsInducedFromNormalSubgroup)"]},"Tester(IsMonomialCharac\
+ter)" : {"type" : "GAP_Tester","implied" : ["Tester(IsMonomialCharacter)"]},"Tester(IsMonomialNumber)" : {"type" : "GAP_Tester","impl\
+ied" : ["Tester(IsMonomialNumber)"]},"Tester(TestMonomialQuick)" : {"type" : "GAP_Attribute","implied" : ["Tester(TestMonomialQuick)"\
+]},"Tester(TestMonomial)" : {"type" : "GAP_Attribute","implied" : ["Tester(TestMonomial)"]},"Tester(TestSubnormallyMonomial)" : {"typ\
+e" : "GAP_Attribute","implied" : ["Tester(TestSubnormallyMonomial)"]},"Tester(IsSubnormallyMonomial)" : {"type" : "GAP_Tester","impli\
+ed" : ["Tester(IsSubnormallyMonomial)"]},"Tester(TestRelativelySM)" : {"type" : "GAP_Attribute","implied" : ["Tester(TestRelativelySM\
+)"]},"Tester(IsRelativelySM)" : {"type" : "GAP_Tester","implied" : ["Tester(IsRelativelySM)"]},"Tester(IsMinimalNonmonomial)" : {"typ\
+e" : "GAP_Tester","implied" : ["Tester(IsMinimalNonmonomial)"]},"Tester(DixonRecord)" : {"type" : "GAP_Attribute","implied" : ["Teste\
+r(DixonRecord)"]},"Tester(IrrDixonSchneider)" : {"type" : "GAP_Attribute","implied" : ["Tester(IrrDixonSchneider)"]},"Tester(TableOfM\
+arks)" : {"type" : "GAP_Attribute","implied" : ["Tester(TableOfMarks)"]},"IsTableOfMarks" : {"type" : "GAP_Category","implied" : ["Is\
+TableOfMarks"]},"Tester(PermutationTom)" : {"type" : "GAP_Attribute","implied" : ["Tester(PermutationTom)"]},"Tester(MarksTom)" : {"t\
+ype" : "GAP_Attribute","implied" : ["Tester(MarksTom)"]},"Tester(SubsTom)" : {"type" : "GAP_Attribute","implied" : ["Tester(SubsTom)"\
+]},"Tester(NrSubsTom)" : {"type" : "GAP_Attribute","implied" : ["Tester(NrSubsTom)"]},"Tester(OrdersTom)" : {"type" : "GAP_Attribute"\
+,"implied" : ["Tester(OrdersTom)"]},"Tester(LengthsTom)" : {"type" : "GAP_Attribute","implied" : ["Tester(LengthsTom)"]},"Tester(Clas\
+sTypesTom)" : {"type" : "GAP_Attribute","implied" : ["Tester(ClassTypesTom)"]},"Tester(ClassNamesTom)" : {"type" : "GAP_Attribute","i\
+mplied" : ["Tester(ClassNamesTom)"]},"Tester(FusionsTom)" : {"type" : "GAP_Attribute","implied" : ["Tester(FusionsTom)"]},"Tester(Ide\
+mpotentsTom)" : {"type" : "GAP_Attribute","implied" : ["Tester(IdempotentsTom)"]},"Tester(IdempotentsTomInfo)" : {"type" : "GAP_Attri\
+bute","implied" : ["Tester(IdempotentsTomInfo)"]},"Tester(MatTom)" : {"type" : "GAP_Attribute","implied" : ["Tester(MatTom)"]},"Teste\
+r(MoebiusTom)" : {"type" : "GAP_Attribute","implied" : ["Tester(MoebiusTom)"]},"Tester(WeightsTom)" : {"type" : "GAP_Attribute","impl\
+ied" : ["Tester(WeightsTom)"]},"Tester(IsAbelianTom)" : {"type" : "GAP_Tester","implied" : ["Tester(IsAbelianTom)"]},"Tester(IsCyclic\
+Tom)" : {"type" : "GAP_Tester","implied" : ["Tester(IsCyclicTom)"]},"Tester(IsNilpotentTom)" : {"type" : "GAP_Tester","implied" : ["T\
+ester(IsNilpotentTom)"]},"Tester(IsPerfectTom)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPerfectTom)"]},"Tester(IsSolvableTom)\
+" : {"type" : "GAP_Tester","implied" : ["Tester(IsSolvableTom)"]},"Tester(DerivedSubgroupsTomPossible)" : {"type" : "GAP_Attribute","\
+implied" : ["Tester(DerivedSubgroupsTomPossible)"]},"Tester(DerivedSubgroupsTomUnique)" : {"type" : "GAP_Attribute","implied" : ["Tes\
+ter(DerivedSubgroupsTomUnique)"]},"Tester(NormalizersTom)" : {"type" : "GAP_Attribute","implied" : ["Tester(NormalizersTom)"]},"Teste\
+r(CyclicExtensionsTom)" : {"type" : "GAP_Attribute","implied" : ["Tester(CyclicExtensionsTom)"]},"Tester(ComputedCyclicExtensionsTom)\
+" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedCyclicExtensionsTom)"]},"Tester(MaximalSubgroupsTom)" : {"type" : "GAP_Att\
+ribute","implied" : ["Tester(MaximalSubgroupsTom)"]},"Tester(GeneratorsSubgroupsTom)" : {"type" : "GAP_Attribute","implied" : ["Teste\
+r(GeneratorsSubgroupsTom)"]},"Tester(StraightLineProgramsTom)" : {"type" : "GAP_Attribute","implied" : ["Tester(StraightLineProgramsT\
+om)"]},"IsTableOfMarksWithGens" : {"type" : "GAP_Filter","implied" : ["IsTableOfMarksWithGens"]},"IsUnicodeString" : {"type" : "GAP_F\
+ilter","implied" : ["IsList","IsDenseList","IsHomogeneousList","IsString","IsListOrCollection","IsConstantTimeAccessList","IsUnicodeS\
+tring"]},"IsUnicodeCharacter" : {"type" : "GAP_Filter","implied" : ["IsInt","IsRat","IsCyc","IsExtAElement","IsNearAdditiveElement","\
+IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicati\
+veElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommut\
+ativeElement","IsCommutativeElement","IsChar","IsCyclotomic","IsUnicodeCharacter"]},"IsObjToBePrinted" : {"type" : "GAP_Filter","impl\
+ied" : ["IsObjToBePrinted"]},"IsFile" : {"type" : "GAP_Category","implied" : ["IsFile"]},"Tester(ProcessID)" : {"type" : "GAP_Attribu\
+te","implied" : ["Tester(ProcessID)"]},"IO_Result" : {"type" : "GAP_Category","implied" : ["IsComponentObjectRep","IO_Result"]},"IsRe\
+alRandomSource" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsRandomSource","IsRealRandomSource"]},"IsBackg\
+roundJob" : {"type" : "GAP_Category","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsBackgroundJob"]},"IsBackgroundJob\
+ByFork" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsBackgroundJob","IsBackgroundJ\
+obByFork"]},"IsWorkerFarm" : {"type" : "GAP_Category","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsWorkerFarm"]},"I\
+sWorkerFarmByFork" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsWorkerFarm","IsWor\
+kerFarmByFork"]},"IsIOHubCat" : {"type" : "GAP_Category","implied" : ["IsComponentObjectRep","IsIOHubCat"]},"IsIOHub" : {"type" : "GA\
+P_Representation","implied" : ["IsComponentObjectRep","IsIOHubCat","IsIOHub"]},"IsEmptyRowVectorRep" : {"type" : "GAP_Representation"\
+,"implied" : ["IsList","IsPositionalObjectRep","IsListOrCollection","IsConstantTimeAccessList","IsEmptyRowVectorRep"]},"IsNullMapMatr\
+ix" : {"type" : "GAP_Representation","implied" : ["IsList","IsDenseList","IsHomogeneousList","IsTable","IsListOrCollection","IsCollec\
+tion","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(CategoryCollections(IsExtAElement))","IsNearAdditiveE\
+lement","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(CategoryCollections(IsNearAdditiveElement))","IsNearAdditiv\
+eElementWithZero","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCollections(CategoryCollections(IsNearAdditiveElement\
+WithZero))","IsNearAdditiveElementWithInverse","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(CategoryC\
+ollections(IsNearAdditiveElementWithInverse))","IsAdditiveElement","CategoryCollections(IsAdditiveElement)","CategoryCollections(Cate\
+goryCollections(IsAdditiveElement))","IsExtLElement","CategoryCollections(IsExtLElement)","CategoryCollections(CategoryCollections(Is\
+ExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(CategoryCollections(IsExtRElement))","IsMult\
+iplicativeElement","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsGeneralizedRowVector","IsNullMapMatrix"]},"\
+IsBlockMatrixRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsBlockMatrixRep"]},"IsDefaultGeneralMappingR\
+ep" : {"type" : "GAP_Representation","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementW\
+ithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","Tester(Range)","Tester(Source)","IsDefaultGen\
+eralMappingRep"]},"IsMappingByFunctionRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRe\
+p","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","I\
+sAssociativeElement","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsMappingByFunctionRep\
+"]},"IsMappingByFunctionWithInverseRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep",\
+"IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAs\
+sociativeElement","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsIn\
+jective)","IsSurjective","Tester(IsSurjective)","IsMappingByFunctionRep","IsMappingByFunctionWithInverseRep"]},"IsNonSPMappingByFunct\
+ionRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement",\
+"IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapp\
+ing","IsNonSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsMappingByFunctionRep","IsNonSPM\
+appingByFunctionRep"]},"IsNonSPMappingByFunctionWithInverseRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep",\
+"IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeE\
+lementWithInverse","IsAssociativeElement","IsGeneralMapping","IsNonSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Te\
+ster(IsSingleValued)","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)","IsMappingByFunctionRep","IsMappingBy\
+FunctionWithInverseRep","IsNonSPMappingByFunctionRep","IsNonSPMappingByFunctionWithInverseRep"]},"IsSPMappingByFunctionRep" : {"type"\
+ : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicative\
+Element","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneral\
+Mapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsMappingByFunctionRep","IsSPMappingByFunctionRep"]},\
+"IsSPMappingByFunctionWithInverseRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","I\
+sExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAsso\
+ciativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInje\
+ctive","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)","IsMappingByFunctionRep","IsMappingByFunctionWithInverseRep","IsSP\
+MappingByFunctionRep","IsSPMappingByFunctionWithInverseRep"]},"IsInverseGeneralMappingRep" : {"type" : "GAP_Representation","implied"\
+ : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","\
+IsAssociativeElement","IsGeneralMapping","IsNonSPGeneralMapping","IsInverseGeneralMappingRep"]},"IsBinaryRelationDefaultRep" : {"type\
+" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsBinaryRelationDefaultRep"]},"IsBinaryRelation\
+OnPointsRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsBinaryRelationOnPointsRe\
+p"]},"IsEquivalenceRelationDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","\
+IsEquivalenceRelationDefaultRep"]},"IsEquivalenceClassDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep\
+","IsAttributeStoringRep","IsEquivalenceClassDefaultRep"]},"IsRightTransversalRep" : {"type" : "GAP_Representation","implied" : ["IsC\
+omponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsRightTransversal","IsRightTransversalRep"]},"IsAddi\
+tiveCosetDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsAdditiveCosetDefaultRep"]},"IsRelativeB\
+asisDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsRelativeBasisDefaultR\
+ep"]},"IsBasisWithReplacedLeftModuleRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep"\
+,"IsBasisWithReplacedLeftModuleRep"]},"IsMutableBasisByImmutableBasisRep" : {"type" : "GAP_Representation","implied" : ["IsComponentO\
+bjectRep","IsMutableBasisByImmutableBasisRep"]},"IsMutableBasisViaNiceMutableBasisRep" : {"type" : "GAP_Representation","implied" : [\
+"IsComponentObjectRep","IsMutableBasisViaNiceMutableBasisRep"]},"IsSubspacesVectorSpaceDefaultRep" : {"type" : "GAP_Representation","\
+implied" : ["IsComponentObjectRep","IsSubspacesVectorSpaceDefaultRep"]},"IsSemiEchelonBasisOfGaussianRowSpaceRep" : {"type" : "GAP_Re\
+presentation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsSemiEchelonBasisOfGaussianRowSpaceRep"]},"IsSubspacesFul\
+lRowSpaceDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsSubspacesVectorSpaceDefaultRep","IsSubsp\
+acesFullRowSpaceDefaultRep"]},"IsMutableBasisOfGaussianRowSpaceRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectR\
+ep","IsMutableBasisOfGaussianRowSpaceRep"]},"IsSemiEchelonBasisOfGaussianMatrixSpaceRep" : {"type" : "GAP_Representation","implied" :\
+ ["IsComponentObjectRep","IsAttributeStoringRep","IsSemiEchelonBasisOfGaussianMatrixSpaceRep"]},"IsMutableBasisOfGaussianMatrixSpaceR\
+ep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsMutableBasisOfGaussianMatrixSpaceRep"]},"IsLinearGeneralM\
+appingByImagesDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsLinearGener\
+alMappingByImagesDefaultRep"]},"IsLinearMappingByMatrixDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRe\
+p","IsAttributeStoringRep","IsLinearMappingByMatrixDefaultRep"]},"IsMagmaRingObjDefaultRep" : {"type" : "GAP_Representation","implied\
+" : ["IsPositionalObjectRep","IsMagmaRingObjDefaultRep"]},"IsCanonicalBasisFreeMagmaRingRep" : {"type" : "GAP_Representation","implie\
+d" : ["IsComponentObjectRep","IsAttributeStoringRep","IsCanonicalBasis","Tester(IsCanonicalBasis)","IsCanonicalBasisFreeMagmaRingRep"\
+]},"IsEmbeddingRingMagmaRing" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLEle\
+ment","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeE\
+lement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","\
+Tester(IsInjective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsAddition"\
+,"Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)","IsEmbeddingRingMagmaRing"]},"IsEmbeddingMagmaMagmaRing" : {"type" \
+: "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeE\
+lement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralM\
+apping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","RespectsMultiplica\
+tion","Tester(RespectsMultiplication)","IsEmbeddingMagmaMagmaRing"]},"IsAlgebraGeneralMappingByImagesDefaultRep" : {"type" : "GAP_Rep\
+resentation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveEleme\
+ntWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMulti\
+plicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","RespectsMultiplication","Tes\
+ter(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)","RespectsAdditiveInv\
+erses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)","IsAlgebraGeneralMapp\
+ingByImagesDefaultRep"]},"IsPolynomialRingDefaultGeneratorMapping" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRe\
+p","IsAttributeStoringRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse"\
+,"IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElem\
+entWithInverse","IsAssociativeElement","IsGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition\
+","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","Res\
+pectsScalarMultiplication","Tester(RespectsScalarMultiplication)","IsAlgebraGeneralMappingByImagesDefaultRep","IsPolynomialRingDefaul\
+tGeneratorMapping"]},"IsOperationAlgebraHomomorphismDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep",\
+"IsAttributeStoringRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","I\
+sAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElement\
+WithInverse","IsAssociativeElement","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","Respect\
+sMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)"\
+,"RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)",\
+"IsOperationAlgebraHomomorphismDefaultRep"]},"IsAlgebraHomomorphismFromFpRep" : {"type" : "GAP_Representation","implied" : ["IsCompon\
+entObjectRep","IsAttributeStoringRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementW\
+ithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultipl\
+icativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleVal\
+ued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(\
+RespectsZero)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMul\
+tiplication)","IsAlgebraHomomorphismFromFpRep"]},"IsSpaceOfUEAElements" : {"type" : "GAP_Filter","implied" : ["IsComponentObjectRep",\
+"IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtAElement","CategoryColl\
+ections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveElementWithZero)","CategoryCo\
+llections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativ\
+eLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsNearAdditiveMagma","IsNearAddi\
+tiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsFreeLeftModule","IsHandledByN\
+iceBasis","IsSpaceOfUEAElements"]},"IsDenseCoeffVectorRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsD\
+enseCoeffVectorRep"]},"IsLieEmbeddingRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep\
+","IsLieEmbeddingRep"]},"IsMutableBasisViaUnderlyingMutableBasisRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObject\
+Rep","IsMutableBasisViaUnderlyingMutableBasisRep"]},"IsMonomialElementRep" : {"type" : "GAP_Representation","implied" : ["IsPositiona\
+lObjectRep","IsMonomialElementRep"]},"IsBasisOfMonomialSpaceRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep"\
+,"IsBasisOfMonomialSpaceRep"]},"IsBasisOfSparseRowSpaceRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsB\
+asisOfSparseRowSpaceRep"]},"IsZeroCochainRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsPackedElementD\
+efaultRep","IsZeroCochainRep"]},"IsVectorSearchTableDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep",\
+"IsAttributeStoringRep","IsSearchTable","IsVectorSearchTable","IsVectorSearchTableDefaultRep"]},"IsRingGeneralMappingByImagesDefaultR\
+ep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtAElement","IsNearAdditiveEleme\
+nt","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultipl\
+icativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","Resp\
+ectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZer\
+o)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","IsRingGeneralMappingByImagesDefaultRep"]},"IsSCRingGeneralMappingB\
+yImagesDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtAElement","IsNe\
+arAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElem\
+ent","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGenera\
+lMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tes\
+ter(RespectsZero)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","IsRingGeneralMappingByImagesDefaultRep","IsSCRingGe\
+neralMappingByImagesDefaultRep"]},"IsAlgebraicExtensionDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRe\
+p","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsNonTrivial","Tester(IsNonTrivial)","IsDuplicateFree","Tester(IsDupl\
+icateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(Is\
+NearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExt\
+LElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplica\
+tiveElement)","CategoryCollections(IsMultiplicativeElementWithOne)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAsso\
+ciativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRin\
+g","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsMagmaWithOne","IsMagmaWithInversesIfNonzero","IsAssociative","Tester(IsAssociat\
+ive)","IsCommutative","Tester(IsCommutative)","Tester(MultiplicativeNeutralElement)","IsMonoidAsSemigroup","Tester(IsMonoidAsSemigrou\
+p)","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutati\
+ve)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsUniqueFactorizationRing","IsEuclidean\
+Ring","IsIntegralRing","Tester(IsIntegralRing)","IsFreeLeftModule","IsAlgebraicExtension","IsAlgebraicExtensionDefaultRep"]},"IsAlgBF\
+Rep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveEle\
+mentWithZero","IsNearAdditiveElementWithInverse","IsAdditiveElement","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMul\
+tiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","Is\
+CommutativeElement","IsAlgebraicElement","IsAlgBFRep"]},"IsKroneckerConstRep" : {"type" : "GAP_Representation","implied" : ["IsPositi\
+onalObjectRep","IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWithZero","IsNearAdditiveElementWithInverse","IsAdditive\
+Element","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInver\
+se","IsZDFRE","IsAssociativeElement","IsAdditivelyCommutativeElement","IsCommutativeElement","IsAlgebraicElement","IsKroneckerConstRe\
+p"]},"IsCanonicalBasisAlgebraicExtension" : {"type" : "GAP_Representation","implied" : ["IsList","IsDenseList","IsHomogeneousList","I\
+sComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsBasis","IsCanonicalB\
+asis","Tester(IsCanonicalBasis)","IsCanonicalBasisAlgebraicExtension"]},"IsUnknownDefaultRep" : {"type" : "GAP_Representation","impli\
+ed" : ["IsPositionalObjectRep","IsUnknownDefaultRep"]},"IsBasisFiniteFieldRep" : {"type" : "GAP_Representation","implied" : ["IsCompo\
+nentObjectRep","IsAttributeStoringRep","IsBasisFiniteFieldRep"]},"IsFrobeniusAutomorphism" : {"type" : "GAP_Representation","implied"\
+ : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElement\
+WithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued",\
+"Tester(IsSingleValued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","Res\
+pectsZero","Tester(RespectsZero)","RespectsAdditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Teste\
+r(RespectsScalarMultiplication)","IsFieldHomomorphism","Tester(IsFieldHomomorphism)","IsFrobeniusAutomorphism"]},"IsModulusRep" : {"t\
+ype" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsModulusRep"]},"IsCoeffsModConwayPolRep" : {"type" : "GAP_Represen\
+tation","implied" : ["IsPositionalObjectRep","IsCoeffsModConwayPolRep"]},"IsCanonicalBasisRationals" : {"type" : "GAP_Representation"\
+,"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsCanonicalBasisRationals"]},"IsCanonicalBasisGaussianIntegersRep" : {"\
+type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsCanonicalBasisGaussianIntegersRep"]},"IsC\
+anonicalBasisAbelianNumberFieldRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsC\
+anonicalBasisAbelianNumberFieldRep"]},"IsCanonicalBasisCyclotomicFieldRep" : {"type" : "GAP_Representation","implied" : ["IsComponent\
+ObjectRep","IsAttributeStoringRep","IsCanonicalBasisAbelianNumberFieldRep","IsCanonicalBasisCyclotomicFieldRep"]},"IsANFAutomorphismR\
+ep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsANFAutomorphismRep"]},"IsLockedRe\
+presentationVector" : {"type" : "GAP_Filter","implied" : ["IsLockedRepresentationVector"]},"IsBracketRep" : {"type" : "GAP_Representa\
+tion","implied" : ["IsPositionalObjectRep","IsBracketRep"]},"Is8BitsAssocWord" : {"type" : "GAP_Representation","implied" : ["IsDataO\
+bjectRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAssociativeElement","IsWord","IsSyllableAssocWordRep","Is8Bits\
+AssocWord"]},"Is16BitsAssocWord" : {"type" : "GAP_Representation","implied" : ["IsDataObjectRep","IsExtLElement","IsExtRElement","IsM\
+ultiplicativeElement","IsAssociativeElement","IsWord","IsSyllableAssocWordRep","Is16BitsAssocWord"]},"Is32BitsAssocWord" : {"type" : \
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+"IsWord","IsSyllableAssocWordRep","Is32BitsAssocWord"]},"IsInfBitsAssocWord" : {"type" : "GAP_Representation","implied" : ["IsPositio\
+nalObjectRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsAssociativeElement","IsWord","IsSyllableAssocWordRep","IsI\
+nfBitsAssocWord"]},"IsInfiniteListOfNamesRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsInfiniteListOf\
+NamesRep"]},"IsInfiniteListOfGeneratorsRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsInfiniteListOfGe\
+neratorsRep"]},"IsSingleCollectorRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsSingleCollectorRep"]},\
+"Is8BitsSingleCollectorRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsSingleCollectorRep","Is8BitsSing\
+leCollectorRep"]},"Is16BitsSingleCollectorRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep","IsSingleCollect\
+orRep","Is16BitsSingleCollectorRep"]},"Is32BitsSingleCollectorRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectR\
+ep","IsSingleCollectorRep","Is32BitsSingleCollectorRep"]},"IsDefaultRhsTypeSingleCollector" : {"type" : "GAP_Filter","implied" : ["Is\
+DefaultRhsTypeSingleCollector"]},"IsCombinatorialCollectorRep" : {"type" : "GAP_Representation","implied" : ["IsPositionalObjectRep",\
+"IsSingleCollectorRep","IsCombinatorialCollectorRep"]},"IsNBitsPcWordRep" : {"type" : "GAP_Representation","implied" : ["IsDataObject\
+Rep","IsNBitsPcWordRep"]},"Is8BitsPcWordRep" : {"type" : "GAP_Representation","implied" : ["IsDataObjectRep","IsKernelPcWord","IsNBit\
+sPcWordRep","Is8BitsPcWordRep"]},"Is16BitsPcWordRep" : {"type" : "GAP_Representation","implied" : ["IsDataObjectRep","IsKernelPcWord"\
+,"IsNBitsPcWordRep","Is16BitsPcWordRep"]},"Is32BitsPcWordRep" : {"type" : "GAP_Representation","implied" : ["IsDataObjectRep","IsKern\
+elPcWord","IsNBitsPcWordRep","Is32BitsPcWordRep"]},"IsDeepThoughtCollectorRep" : {"type" : "GAP_Representation","implied" : ["IsPosit\
+ionalObjectRep","IsDeepThoughtCollectorRep"]},"IsEnumeratorByPcgsRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjec\
+tRep","IsAttributeStoringRep","IsEnumeratorByPcgsRep"]},"IsPcgsByPcgsRep" : {"type" : "GAP_Representation","implied" : ["IsComponentO\
+bjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsFiniteOrdersPcgs","Tester(IsFiniteOrdersPcgs)","IsPcgsByPcgsRep"]},"IsInduced\
+PcgsRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsInducedPc\
+gsRep"]},"IsSubsetInducedPcgsRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcg\
+sDefaultRep","IsInducedPcgsRep","IsSubsetInducedPcgsRep"]},"IsTailInducedPcgsRep" : {"type" : "GAP_Representation","implied" : ["IsCo\
+mponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsInducedPcgsRep","IsSubsetInducedPcgsRep","IsTailInducedPcgsRep"]},"Is\
+ModuloPcgsRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsMod\
+uloPcgsRep"]},"IsModuloTailPcgsRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsP\
+cgsDefaultRep","IsModuloPcgsRep","IsModuloTailPcgsRep"]},"IsSubsetInducedNumeratorModuloTailPcgsRep" : {"type" : "GAP_Representation"\
+,"implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsModuloPcgsRep","IsModuloTailPcgsRep","IsSubsetIndu\
+cedNumeratorModuloTailPcgsRep"]},"IsModuloTailPcgsByListRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","Is\
+AttributeStoringRep","IsPcgsDefaultRep","IsModuloPcgsRep","IsModuloTailPcgsRep","IsModuloTailPcgsByListRep"]},"IsNumeratorParentForEx\
+ponentsRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsModulo\
+PcgsRep","IsNumeratorParentForExponentsRep"]},"IsNumeratorParentLayersForExponentsRep" : {"type" : "GAP_Representation","implied" : [\
+"IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsModuloPcgsRep","IsNumeratorParentLayersForExponentsRep"]},"IsUns\
+ortedPcgsRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsUnso\
+rtedPcgsRep"]},"IsSortedPcgsRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgs\
+DefaultRep","IsUnsortedPcgsRep","IsSortedPcgsRep"]},"IsMemberPcSeriesPermGroup" : {"type" : "GAP_Representation","implied" : ["IsList\
+OrCollection","IsCollection","IsFinite","Tester(IsFinite)","CanEasilyCompareElements","Tester(CanEasilyCompareElements)","CanEasilySo\
+rtElements","Tester(CanEasilySortElements)","CanComputeSize","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCol\
+lections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","Categor\
+yCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMultiplicativeElementWithInverse)","CategoryCollections(IsAssoci\
+ativeElement)","CategoryCollections(IsFiniteOrderElement)","IsGeneralizedDomain","CategoryCollections(IsPerm)","IsMagma","IsMagmaWith\
+One","IsMagmaWithInversesIfNonzero","IsMagmaWithInverses","IsGeneratorsOfMagmaWithInverses","Tester(IsGeneratorsOfMagmaWithInverses)"\
+,"IsAssociative","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemig\
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+(IsInverseSemigroup)","IsCompletelyRegularSemigroup","Tester(IsCompletelyRegularSemigroup)","IsCompletelySimpleSemigroup","Tester(IsC\
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+roup","Tester(IsSubsetLocallyFiniteGroup)","CanEasilyTestMembership","CanComputeSizeAnySubgroup","KnowsHowToDecompose","Tester(KnowsH\
+owToDecompose)","CanComputeFittingFree","IsMemberPcSeriesPermGroup","IsNilpotentByFinite","Tester(IsNilpotentByFinite)"]},"IsMagmaByM\
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+rectProductRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPcgsDefaultRep","IsPc\
+gsDirectProductRep"]},"IsBlocksOfActionHomomorphism" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttribut\
+eStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithI\
+nverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleV\
+alued)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(Resp\
+ectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsActionHomomorphism","IsActionHomomorphismByBase","IsBlocksOfActionHomo\
+morphism"]},"IsEmbeddingDirectProductPermGroup" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStor\
+ingRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInvers\
+e","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued\
+)","IsInjective","Tester(IsInjective)","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)",\
+"RespectsInverses","Tester(RespectsInverses)","IsEmbeddingDirectProductPermGroup"]},"IsEmbeddingWreathProductPermGroup" : {"type" : "\
+GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElem\
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+ing","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","RespectsMultiplicatio\
+n","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsEmbeddingWre\
+athProductPermGroup"]},"IsEmbeddingImprimitiveWreathProductPermGroup" : {"type" : "GAP_Representation","implied" : ["IsComponentObjec\
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+"Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsEmbeddingWreathProductPermGroup","IsEmbeddingImprimitiveWreath\
+ProductPermGroup"]},"IsEmbeddingProductActionWreathProductPermGroup" : {"type" : "GAP_Representation","implied" : ["IsComponentObject\
+Rep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplica\
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+Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGeneralMappingByImages","IsGroupGeneralMappin\
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+nDirectProductPermGroup" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement"\
+,"IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElemen\
+t","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","IsSurjective","Test\
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+ester(RespectsInverses)","IsProjectionDirectProductPermGroup"]},"IsProjectionSubdirectProductPermGroup" : {"type" : "GAP_Representati\
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+PermGroup"]},"IsEmbeddingDirectProductMatrixGroup" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeS\
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+)","RespectsInverses","Tester(RespectsInverses)","IsEmbeddingDirectProductMatrixGroup"]},"IsProjectionDirectProductMatrixGroup" : {"t\
+ype" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplica\
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+ojectionDirectProductMatrixGroup"]},"IsEmbeddingImprimitiveWreathProductMatrixGroup" : {"type" : "GAP_Representation","implied" : ["I\
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+e","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","I\
+sSingleValued","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","RespectsMultiplication","Tester(RespectsMultiplication)"\
+,"RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsEmbeddingImprimitiveWreathProductMatrixGroup"]}\
+,"IsSlicedPerm" : {"type" : "GAP_Representation","implied" : ["IsPerm","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsM\
+ultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsFiniteOrderElement","IsSlicedPerm"]},"IsS\
+licedPermInv" : {"type" : "GAP_Representation","implied" : ["IsPerm","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMul\
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+RightCosetDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollectio\
+n","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplica\
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+IsRightCoset","IsRightCosetDefaultRep"]},"IsDoubleCosetDefaultRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRe\
+p","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsE\
+xtLSet","IsExtRSet","IsDoubleCoset","IsDoubleCosetDefaultRep"]},"IsRightTransversalViaCosetsRep" : {"type" : "GAP_Representation","im\
+plied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsRightTransversal","IsRightTransversal\
+Rep","IsRightTransversalViaCosetsRep"]},"IsFactoredTransversalRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRe\
+p","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsRightTransversal","IsRightTransversalRep","IsFactoredTransversalRep\
+"]},"IsRightTransversalPermGroupRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","Is\
+ListOrCollection","IsCollection","IsRightTransversal","IsRightTransversalRep","IsRightTransversalPermGroupRep"]},"IsRightTransversalP\
+cGroupRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsColle\
+ction","IsRightTransversal","IsRightTransversalRep","IsRightTransversalPcGroupRep"]},"IsEnumeratorByNiceomorphismRep" : {"type" : "GA\
+P_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsEnumeratorByNiceomorphismRep"]},"IsActionHomomorphis\
+mAutomGroup" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElem\
+ent","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGenera\
+lMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValued","Tester(IsSingleValued)","RespectsMultiplication","Tester\
+(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsPreimagesByAsGroupGene\
+ralMappingByImages","IsActionHomomorphism","IsActionHomomorphismByBase","IsActionHomomorphismAutomGroup"]},"IsBlowUpIsomorphism" : {"\
+type" : "GAP_Filter","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMulti\
+plicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","IsTotal","Tester(IsTotal)","IsSingleValu\
+ed","Tester(IsSingleValued)","IsInjective","Tester(IsInjective)","IsSurjective","Tester(IsSurjective)","IsBlowUpIsomorphism"]},"IsRig\
+htTransversalFpGroupRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollec\
+tion","IsCollection","IsRightTransversal","IsRightTransversalRep","IsRightTransversalFpGroupRep"]},"IsPresentationDefaultRep" : {"typ\
+e" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsPresentationDefaultRep"]},"IsModuloPcgsFpGro\
+upRep" : {"type" : "GAP_Representation","implied" : ["IsList","IsDenseList","IsHomogeneousList","IsNoImmediateMethodsObject","IsCompo\
+nentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsFinite","Tester(IsFinite)","IsConstantTimeAccessList","\
+IsDuplicateFree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(\
+IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollect\
+ions(IsMultiplicativeElementWithInverse)","IsGeneralPcgs","IsModuloPcgs","IsPcgsDefaultRep","IsModuloPcgsFpGroupRep"]},"IsTransformat\
+ionRepOfEndo" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsTransformationRepOfEndo\
+"]},"IsKnuthBendixRewritingSystemRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsKnuthBendixRewritingSys\
+temRep"]},"IsFloatPseudoField" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(\
+IsDuplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollecti\
+ons(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)",\
+"IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMult\
+iplicativeElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDist\
+ributiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagm\
+a","IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutativ\
+e)","IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsFloatPseudoField"]}\
+,"IsFloatRationalFunction" : {"type" : "GAP_Category","implied" : ["IsExtAElement","IsNearAdditiveElement","IsNearAdditiveElementWith\
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+n"]},"IsIEEE754PseudoField" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsD\
+uplicateFree)","IsExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections\
+(IsNearAdditiveElementWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","Is\
+ExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultipl\
+icativeElement)","IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistrib\
+utiveLOpESum","IsTrivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma",\
+"IsNearAdditiveMagma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)"\
+,"IsLDistributive","Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsFreeLeftModule","IsFloatPseudoField","IsI\
+EEE754PseudoField"]},"Tester(IdGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(IdGroup)"]},"Tester(Gap3CatalogueIdGroup)" : \
+{"type" : "GAP_Attribute","implied" : ["Tester(Gap3CatalogueIdGroup)"]},"Tester(FrattinifactorSize)" : {"type" : "GAP_Attribute","imp\
+lied" : ["Tester(FrattinifactorSize)"]},"Tester(FrattinifactorId)" : {"type" : "GAP_Attribute","implied" : ["Tester(FrattinifactorId)\
+"]},"Tester(GaloisType)" : {"type" : "GAP_Attribute","implied" : ["Tester(GaloisType)"]},"Tester(SimsNo)" : {"type" : "GAP_Attribute"\
+,"implied" : ["Tester(SimsNo)"]},"Tester(MinimalBlockDimension)" : {"type" : "GAP_Attribute","implied" : ["Tester(MinimalBlockDimensi\
+on)"]},"Tester(IsPrimitiveMatrixGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPrimitiveMatrixGroup)"]},"IsPrimGrpIterRep" :\
+ {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsPrimGrpIterRep"]},"IsPGAutomorphismRep" : {"type" : "GAP_Repre\
+sentation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsM\
+ultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","Res\
+pectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses\
+)","IsGroupGeneralMappingByImages","IsPGAutomorphismRep"]},"Tester(IrrFacsAlgExtPol)" : {"type" : "GAP_Attribute","implied" : ["Teste\
+r(IrrFacsAlgExtPol)"]},"IsBasisOfMatrixField" : {"type" : "GAP_Representation","implied" : ["IsList","IsDenseList","IsHomogeneousList\
+","IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsBasis","IsBasisO\
+fMatrixField"]},"Tester(IsUnitGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsUnitGroup)"]},"Tester(IsUnitGroupIsomorphism)" \
+: {"type" : "GAP_Tester","implied" : ["Tester(IsUnitGroupIsomorphism)"]},"Tester(IsNumberFieldByMatrices)" : {"type" : "GAP_Tester","\
+implied" : ["Tester(IsNumberFieldByMatrices)"]},"Tester(IsMultGroupByFieldElemsIsomorphism)" : {"type" : "GAP_Tester","implied" : ["T\
+ester(IsMultGroupByFieldElemsIsomorphism)"]},"Tester(IntegerDefiningPolynomial)" : {"type" : "GAP_Attribute","implied" : ["Tester(Int\
+egerDefiningPolynomial)"]},"Tester(IntegerPrimitiveElement)" : {"type" : "GAP_Attribute","implied" : ["Tester(IntegerPrimitiveElement\
+)"]},"Tester(EquationOrderBasis)" : {"type" : "GAP_Attribute","implied" : ["Tester(EquationOrderBasis)"]},"Tester(MaximalOrderBasis)"\
+ : {"type" : "GAP_Attribute","implied" : ["Tester(MaximalOrderBasis)"]},"Tester(UnitGroup)" : {"type" : "GAP_Attribute","implied" : [\
+"Tester(UnitGroup)"]},"Tester(FieldOfUnitGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(FieldOfUnitGroup)"]},"IsFromTheLeft\
+CollectorRep" : {"type" : "GAP_Representation","implied" : ["IsCopyable","IsRewritingSystem","IsBuiltFromMagma","Tester(IsBuiltFromMa\
+gma)","IsBuiltFromMagmaWithOne","Tester(IsBuiltFromMagmaWithOne)","IsBuiltFromMagmaWithInverses","Tester(IsBuiltFromMagmaWithInverses\
+)","IsBuiltFromGroup","Tester(IsBuiltFromGroup)","IsPolycyclicCollector","IsPowerConjugateCollector","IsFromTheLeftCollectorRep"]},"T\
+ester(IsWeightedCollector)" : {"type" : "GAP_Tester","implied" : ["Tester(IsWeightedCollector)"]},"Tester(IsPolynomialCollector)" : {\
+"type" : "GAP_Tester","implied" : ["Tester(IsPolynomialCollector)"]},"Tester(UseLibraryCollector)" : {"type" : "GAP_Tester","implied"\
+ : ["Tester(UseLibraryCollector)"]},"Tester(IsPolycyclicPresentation)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPolycyclicPres\
+entation)"]},"IsPcpElement" : {"type" : "GAP_Category","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMult\
+iplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsPcpElement"]},"CategoryFamily(IsPcpElement)" : {"type" : "GAP_Categ\
+ory","implied" : ["IsFamily","CategoryFamily(IsPcpElement)"]},"CategoryCollections(IsPcpElement)" : {"type" : "GAP_Category","implied\
+" : ["IsListOrCollection","IsCollection","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(Is\
+ExtRElement)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollectio\
+ns(IsMultiplicativeElementWithInverse)","IsGeneratorsOfMagmaWithInverses","Tester(IsGeneratorsOfMagmaWithInverses)","CategoryCollecti\
+ons(IsPcpElement)"]},"IsPcpElementRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsPcpElementRep"]},"Test\
+er(TailOfElm)" : {"type" : "GAP_Attribute","implied" : ["Tester(TailOfElm)"]},"Tester(RelativeOrderPcp)" : {"type" : "GAP_Attribute",\
+"implied" : ["Tester(RelativeOrderPcp)"]},"Tester(RelativeIndex)" : {"type" : "GAP_Attribute","implied" : ["Tester(RelativeIndex)"]},\
+"Tester(FactorOrder)" : {"type" : "GAP_Attribute","implied" : ["Tester(FactorOrder)"]},"Tester(Igs)" : {"type" : "GAP_Attribute","imp\
+lied" : ["Tester(Igs)"]},"Tester(Ngs)" : {"type" : "GAP_Attribute","implied" : ["Tester(Ngs)"]},"Tester(Cgs)" : {"type" : "GAP_Attrib\
+ute","implied" : ["Tester(Cgs)"]},"IsPcp" : {"type" : "GAP_Category","implied" : ["IsPcp"]},"IsPcpRep" : {"type" : "GAP_Representatio\
+n","implied" : ["IsComponentObjectRep","IsPcpRep"]},"IsFromPcpGHBI" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectR\
+ep","IsAttributeStoringRep","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicat\
+iveElementWithInverse","IsAssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultip\
+lication)","RespectsOne","Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages","Extrara\
+nkfilter","IsFromPcpGHBI"]},"IsToPcpGHBI" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep\
+","IsExtLElement","IsExtRElement","IsMultiplicativeElement","IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","Is\
+AssociativeElement","IsGeneralMapping","IsSPGeneralMapping","RespectsMultiplication","Tester(RespectsMultiplication)","RespectsOne","\
+Tester(RespectsOne)","RespectsInverses","Tester(RespectsInverses)","IsGroupGeneralMappingByImages","Extrarankfilter","IsToPcpGHBI"]},\
+"Tester(EfaSeries)" : {"type" : "GAP_Attribute","implied" : ["Tester(EfaSeries)"]},"Tester(PcpsOfEfaSeries)" : {"type" : "GAP_Attribu\
+te","implied" : ["Tester(PcpsOfEfaSeries)"]},"Tester(IsomorphismPcpGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(Isomorphi\
+smPcpGroup)"]},"Tester(PcpGroupByEfaSeries)" : {"type" : "GAP_Attribute","implied" : ["Tester(PcpGroupByEfaSeries)"]},"Tester(IsHomom\
+orphismIntoMatrixGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsHomomorphismIntoMatrixGroup)"]},"Tester(SemiSimpleEfaSeries)\
+" : {"type" : "GAP_Attribute","implied" : ["Tester(SemiSimpleEfaSeries)"]},"Tester(FCCentre)" : {"type" : "GAP_Attribute","implied" :\
+ ["Tester(FCCentre)"]},"Tester(IsNilpotentByFinite)" : {"type" : "GAP_Tester","implied" : ["Tester(IsNilpotentByFinite)"]},"Tester(Co\
+mputedMaximalSubgroupClassesByIndexs)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedMaximalSubgroupClassesByIndexs)"]},"T\
+ester(ComputedLowIndexSubgroupClassess)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedLowIndexSubgroupClassess)"]},"Teste\
+r(ComputedLowIndexNormalSubgroupss)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedLowIndexNormalSubgroupss)"]},"Tester(Sc\
+hurExtension)" : {"type" : "GAP_Attribute","implied" : ["Tester(SchurExtension)"]},"Tester(SchurExtensionEpimorphism)" : {"type" : "G\
+AP_Attribute","implied" : ["Tester(SchurExtensionEpimorphism)"]},"Tester(NonAbelianTensorSquare)" : {"type" : "GAP_Attribute","implie\
+d" : ["Tester(NonAbelianTensorSquare)"]},"Tester(NonAbelianExteriorSquare)" : {"type" : "GAP_Attribute","implied" : ["Tester(NonAbeli\
+anExteriorSquare)"]},"Tester(TorsionSubgroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(TorsionSubgroup)"]},"Tester(NormalTor\
+sionSubgroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(NormalTorsionSubgroup)"]},"Tester(FiniteSubgroupClasses)" : {"type" :\
+ "GAP_Attribute","implied" : ["Tester(FiniteSubgroupClasses)"]},"Tester(IsTorsionFree)" : {"type" : "GAP_Tester","implied" : ["Tester\
+(IsTorsionFree)"]},"Tester(IsFreeAbelian)" : {"type" : "GAP_Tester","implied" : ["Tester(IsFreeAbelian)"]},"IsClass" : {"type" : "GAP\
+_Category","implied" : ["IsListOrCollection","IsClass"]},"Tester(MemberFunction)" : {"type" : "GAP_Attribute","implied" : ["Tester(Me\
+mberFunction)"]},"Tester(ComputedIsMembers)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedIsMembers)"]},"Tester(IsGroupCl\
+ass)" : {"type" : "GAP_Tester","implied" : ["Tester(IsGroupClass)"]},"Tester(GroupClass)" : {"type" : "GAP_Attribute","implied" : ["T\
+ester(GroupClass)"]},"Tester(ContainsTrivialGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(ContainsTrivialGroup)"]},"Tester(Is\
+SubgroupClosed)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSubgroupClosed)"]},"Tester(IsNormalSubgroupClosed)" : {"type" : "GAP\
+_Tester","implied" : ["Tester(IsNormalSubgroupClosed)"]},"Tester(IsQuotientClosed)" : {"type" : "GAP_Tester","implied" : ["Tester(IsQ\
+uotientClosed)"]},"Tester(IsResiduallyClosed)" : {"type" : "GAP_Tester","implied" : ["Tester(IsResiduallyClosed)"]},"Tester(IsNormalP\
+roductClosed)" : {"type" : "GAP_Tester","implied" : ["Tester(IsNormalProductClosed)"]},"Tester(IsDirectProductClosed)" : {"type" : "G\
+AP_Tester","implied" : ["Tester(IsDirectProductClosed)"]},"Tester(IsSchunckClass)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSc\
+hunckClass)"]},"Tester(IsSaturated)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSaturated)"]},"Tester(FittingClass)" : {"type" :\
+ "GAP_Attribute","implied" : ["Tester(FittingClass)"]},"Tester(InjectorFunction)" : {"type" : "GAP_Attribute","implied" : ["Tester(In\
+jectorFunction)"]},"Tester(RadicalFunction)" : {"type" : "GAP_Attribute","implied" : ["Tester(RadicalFunction)"]},"Tester(IsPrimitive\
+SolvableGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPrimitiveSolvableGroup)"]},"Tester(SchunckClass)" : {"type" : "GAP_At\
+tribute","implied" : ["Tester(SchunckClass)"]},"Tester(Boundary)" : {"type" : "GAP_Attribute","implied" : ["Tester(Boundary)"]},"Test\
+er(ProjectorFunction)" : {"type" : "GAP_Attribute","implied" : ["Tester(ProjectorFunction)"]},"Tester(BoundaryFunction)" : {"type" : \
+"GAP_Attribute","implied" : ["Tester(BoundaryFunction)"]},"Tester(OrdinaryFormation)" : {"type" : "GAP_Attribute","implied" : ["Teste\
+r(OrdinaryFormation)"]},"Tester(SaturatedFormation)" : {"type" : "GAP_Attribute","implied" : ["Tester(SaturatedFormation)"]},"Tester(\
+FittingFormation)" : {"type" : "GAP_Attribute","implied" : ["Tester(FittingFormation)"]},"Tester(SaturatedFittingFormation)" : {"type\
+" : "GAP_Attribute","implied" : ["Tester(SaturatedFittingFormation)"]},"Tester(ResidualFunction)" : {"type" : "GAP_Attribute","implie\
+d" : ["Tester(ResidualFunction)"]},"Tester(LocalDefinitionFunction)" : {"type" : "GAP_Attribute","implied" : ["Tester(LocalDefinition\
+Function)"]},"Tester(ComputedProjectors)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedProjectors)"]},"Tester(ComputedCov\
+eringSubgroups)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedCoveringSubgroups)"]},"Tester(ComputedInjectors)" : {"type"\
+ : "GAP_Attribute","implied" : ["Tester(ComputedInjectors)"]},"Tester(ComputedRadicals)" : {"type" : "GAP_Attribute","implied" : ["Te\
+ster(ComputedRadicals)"]},"Tester(ComputedResiduals)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedResiduals)"]},"Tester(\
+CharacteristicSubgroups)" : {"type" : "GAP_Attribute","implied" : ["Tester(CharacteristicSubgroups)"]},"Tester(NormalGeneratorsOfNilp\
+otentResidual)" : {"type" : "GAP_Attribute","implied" : ["Tester(NormalGeneratorsOfNilpotentResidual)"]},"Tester(PrimePowerGensPcSequ\
+ence)" : {"type" : "GAP_Attribute","implied" : ["Tester(PrimePowerGensPcSequence)"]},"Tester(NilpotentProjector)" : {"type" : "GAP_At\
+tribute","implied" : ["Tester(NilpotentProjector)"]},"Tester(SupersolvableProjector)" : {"type" : "GAP_Attribute","implied" : ["Teste\
+r(SupersolvableProjector)"]},"Tester(SolvableSocle)" : {"type" : "GAP_Attribute","implied" : ["Tester(SolvableSocle)"]},"Tester(Socle\
+Components)" : {"type" : "GAP_Attribute","implied" : ["Tester(SocleComponents)"]},"Tester(SolvableSocleComponents)" : {"type" : "GAP_\
+Attribute","implied" : ["Tester(SolvableSocleComponents)"]},"Tester(ComputedPSocleComponentss)" : {"type" : "GAP_Attribute","implied"\
+ : ["Tester(ComputedPSocleComponentss)"]},"Tester(ComputedPSocles)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedPSocles)\
+"]},"Tester(AbelianMinimalNormalSubgroups)" : {"type" : "GAP_Attribute","implied" : ["Tester(AbelianMinimalNormalSubgroups)"]},"IsCla\
+ssByPropertyRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","I\
+sClass","IsClassByPropertyRep"]},"IsClassByComplementRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAtt\
+ributeStoringRep","IsListOrCollection","IsClass","IsClassByComplementRep"]},"IsClassByIntersectionRep" : {"type" : "GAP_Representatio\
+n","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsClass","IsClassByIntersectionRep"]},"IsClassBy\
+UnionRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsClass"\
+,"IsClassByUnionRep"]},"IsGroupClassByListRep" : {"type" : "GAP_Representation","implied" : ["IsListOrCollection","IsClass","IsGroupC\
+lass","Tester(IsGroupClass)","IsGroupClassByListRep"]},"IsFittingProductRep" : {"type" : "GAP_Representation","implied" : ["IsCompone\
+ntObjectRep","IsAttributeStoringRep","IsListOrCollection","IsClass","IsGroupClass","Tester(IsGroupClass)","ContainsTrivialGroup","Tes\
+ter(ContainsTrivialGroup)","IsNormalSubgroupClosed","Tester(IsNormalSubgroupClosed)","IsNormalProductClosed","Tester(IsNormalProductC\
+losed)","IsDirectProductClosed","Tester(IsDirectProductClosed)","IsFittingProductRep"]},"IsFittingSetRep" : {"type" : "GAP_Representa\
+tion","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","IsExtLElement","CategoryCollec\
+tions(IsExtLElement)","CategoryCollections(CategoryCollections(IsExtLElement))","IsExtRElement","CategoryCollections(IsExtRElement)",\
+"CategoryCollections(CategoryCollections(IsExtRElement))","CategoryCollections(CategoryCollections(IsMultiplicativeElement))","IsClas\
+s","IsClassByPropertyRep","IsFittingSetRep"]},"IsFormationProductRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjec\
+tRep","IsAttributeStoringRep","IsListOrCollection","IsClass","IsGroupClass","Tester(IsGroupClass)","ContainsTrivialGroup","Tester(Con\
+tainsTrivialGroup)","IsQuotientClosed","Tester(IsQuotientClosed)","IsResiduallyClosed","Tester(IsResiduallyClosed)","IsDirectProductC\
+losed","Tester(IsDirectProductClosed)","IsFormationProductRep"]},"IsBBoxProgram" : {"type" : "GAP_Category","implied" : ["IsBBoxProgr\
+am"]},"IsStraightLineDecision" : {"type" : "GAP_Category","implied" : ["IsStraightLineDecision"]},"Tester(LinesOfStraightLineDecision\
+)" : {"type" : "GAP_Attribute","implied" : ["Tester(LinesOfStraightLineDecision)"]},"Tester(NrInputsOfStraightLineDecision)" : {"type\
+" : "GAP_Attribute","implied" : ["Tester(NrInputsOfStraightLineDecision)"]},"Tester(AsBBoxProgram)" : {"type" : "GAP_Attribute","impl\
+ied" : ["Tester(AsBBoxProgram)"]},"Tester(AsStraightLineProgram)" : {"type" : "GAP_Attribute","implied" : ["Tester(AsStraightLineProg\
+ram)"]},"Tester(AsStraightLineDecision)" : {"type" : "GAP_Attribute","implied" : ["Tester(AsStraightLineDecision)"]},"Tester(Maxes)" \
+: {"type" : "GAP_Attribute","implied" : ["Tester(Maxes)"]},"Tester(AtlasRepInfoRecord)" : {"type" : "GAP_Attribute","implied" : ["Tes\
+ter(AtlasRepInfoRecord)"]},"Tester(CASInfo)" : {"type" : "GAP_Attribute","implied" : ["Tester(CASInfo)"]},"Tester(ConstructionInfoCha\
+racterTable)" : {"type" : "GAP_Attribute","implied" : ["Tester(ConstructionInfoCharacterTable)"]},"Tester(FusionToTom)" : {"type" : "\
+GAP_Attribute","implied" : ["Tester(FusionToTom)"]},"Tester(ProjectivesInfo)" : {"type" : "GAP_Attribute","implied" : ["Tester(Projec\
+tivesInfo)"]},"Tester(ExtensionInfoCharacterTable)" : {"type" : "GAP_Attribute","implied" : ["Tester(ExtensionInfoCharacterTable)"]},\
+"Tester(GroupInfoForCharacterTable)" : {"type" : "GAP_Attribute","implied" : ["Tester(GroupInfoForCharacterTable)"]},"Tester(KnowsSom\
+eGroupInfo)" : {"type" : "GAP_Tester","implied" : ["Tester(KnowsSomeGroupInfo)"]},"Tester(IsNontrivialDirectProduct)" : {"type" : "GA\
+P_Tester","implied" : ["Tester(IsNontrivialDirectProduct)"]},"Tester(KnowsDeligneLusztigNames)" : {"type" : "GAP_Tester","implied" : \
+["Tester(KnowsDeligneLusztigNames)"]},"Tester(IsDuplicateTable)" : {"type" : "GAP_Tester","implied" : ["Tester(IsDuplicateTable)"]},"\
+Tester(IdentifierOfMainTable)" : {"type" : "GAP_Attribute","implied" : ["Tester(IdentifierOfMainTable)"]},"Tester(IdentifiersOfDuplic\
+ateTables)" : {"type" : "GAP_Attribute","implied" : ["Tester(IdentifiersOfDuplicateTables)"]},"Tester(DeligneLusztigNames)" : {"type"\
+ : "GAP_Attribute","implied" : ["Tester(DeligneLusztigNames)"]},"Tester(DeligneLusztigName)" : {"type" : "GAP_Attribute","implied" : \
+["Tester(DeligneLusztigName)"]},"Tester(FingerprintOfCharacterTable)" : {"type" : "GAP_Attribute","implied" : ["Tester(FingerprintOfC\
+haracterTable)"]},"Tester(SpinSymIngredients)" : {"type" : "GAP_Attribute","implied" : ["Tester(SpinSymIngredients)"]},"IsSpinSymTabl\
+e" : {"type" : "GAP_Category","implied" : ["IsNearlyCharacterTable","IsCharacterTable","IsSpinSymTable"]},"IsLibTomRep" : {"type" : "\
+GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsLibTomRep"]},"Tester(NamesLibTom)" : {"type" : "GA\
+P_Attribute","implied" : ["Tester(NamesLibTom)"]},"Tester(NotifiedFusionsOfLibTom)" : {"type" : "GAP_Attribute","implied" : ["Tester(\
+NotifiedFusionsOfLibTom)"]},"Tester(FusionsOfLibTom)" : {"type" : "GAP_Attribute","implied" : ["Tester(FusionsOfLibTom)"]},"Tester(No\
+tifiedFusionsToLibTom)" : {"type" : "GAP_Attribute","implied" : ["Tester(NotifiedFusionsToLibTom)"]},"Tester(FusionsToLibTom)" : {"ty\
+pe" : "GAP_Attribute","implied" : ["Tester(FusionsToLibTom)"]},"Tester(StandardGeneratorsInfo)" : {"type" : "GAP_Attribute","implied"\
+ : ["Tester(StandardGeneratorsInfo)"]},"IsInvAutomatonCategory" : {"type" : "GAP_Category","implied" : ["IsInvAutomatonCategory"]},"T\
+ester(FGA_States)" : {"type" : "GAP_Attribute","implied" : ["Tester(FGA_States)"]},"Tester(FGA_GeneratorsLetterRep)" : {"type" : "GAP\
+_Attribute","implied" : ["Tester(FGA_GeneratorsLetterRep)"]},"Tester(FreeGeneratorsOfGroup)" : {"type" : "GAP_Attribute","implied" : \
+["Tester(FreeGeneratorsOfGroup)"]},"Tester(RankOfFreeGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(RankOfFreeGroup)"]},"Te\
+ster(FreeGroupAutomaton)" : {"type" : "GAP_Attribute","implied" : ["IsListOrCollection","IsCollection","CanComputeSize","IsDuplicateF\
+ree","Tester(IsDuplicateFree)","IsExtLElement","CategoryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElemen\
+t)","CategoryCollections(IsMultiplicativeElement)","CategoryCollections(IsMultiplicativeElementWithOne)","CategoryCollections(IsMulti\
+plicativeElementWithInverse)","CategoryCollections(IsAssociativeElement)","IsGeneralizedDomain","IsMagma","IsMagmaWithOne","IsMagmaWi\
+thInversesIfNonzero","IsMagmaWithInverses","IsGeneratorsOfMagmaWithInverses","Tester(IsGeneratorsOfMagmaWithInverses)","IsAssociative\
+","Tester(IsAssociative)","Tester(MultiplicativeNeutralElement)","IsGeneratorsOfSemigroup","Tester(IsGeneratorsOfSemigroup)","IsSimpl\
+eSemigroup","Tester(IsSimpleSemigroup)","IsRegularSemigroup","Tester(IsRegularSemigroup)","IsInverseSemigroup","Tester(IsInverseSemig\
+roup)","IsCompletelyRegularSemigroup","Tester(IsCompletelyRegularSemigroup)","IsGroupAsSemigroup","Tester(IsGroupAsSemigroup)","IsMon\
+oidAsSemigroup","Tester(IsMonoidAsSemigroup)","IsOrthodoxSemigroup","Tester(IsOrthodoxSemigroup)","IsFinitelyGeneratedGroup","Tester(\
+IsFinitelyGeneratedGroup)","CanEasilyTestMembership","CanComputeSizeAnySubgroup","CategoryCollections(IsWord)","CategoryCollections((\
+IsWord and IsAssociativeElement))","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWit\
+hOne)))","CategoryCollections(((IsWord and IsAssociativeElement) and (IsWord and IsMultiplicativeElementWithInverse)))","IsSubgroupFg\
+Group","IsSubgroupFpGroup","IsTorsionFree","Tester(IsTorsionFree)","Tester(FreeGroupAutomaton)"]},"Tester(FreeGroupExtendedAutomaton)\
+" : {"type" : "GAP_Attribute","implied" : ["Tester(FreeGroupExtendedAutomaton)"]},"Tester(NormalizerInWholeGroup)" : {"type" : "GAP_A\
+ttribute","implied" : ["Tester(NormalizerInWholeGroup)"]},"Tester(FGA_Source)" : {"type" : "GAP_Attribute","implied" : ["Tester(FGA_S\
+ource)"]},"Tester(FGA_Image)" : {"type" : "GAP_Attribute","implied" : ["Tester(FGA_Image)"]},"IsAutomorphismGroupOfFreeGroup" : {"typ\
+e" : "GAP_Filter","implied" : ["IsGroupOfAutomorphisms","Tester(IsGroupOfAutomorphisms)","IsAutomorphismGroup","Tester(IsAutomorphism\
+Group)","IsAutomorphismGroupOfFreeGroup"]},"Tester(FGA_WhiteheadParams)" : {"type" : "GAP_Attribute","implied" : ["Tester(FGA_Whitehe\
+adParams)"]},"Tester(FGA_WhiteheadAutomorphisms)" : {"type" : "GAP_Attribute","implied" : ["Tester(FGA_WhiteheadAutomorphisms)"]},"Te\
+ster(FGA_NielsenAutomorphisms)" : {"type" : "GAP_Attribute","implied" : ["Tester(FGA_NielsenAutomorphisms)"]},"IsSimpleInvAutomatonRe\
+p" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsListOrCollection","IsCollection","\
+IsInvAutomatonCategory","IsSimpleInvAutomatonRep"]},"Tester(IsIrreducibleMatrixGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(\
+IsIrreducibleMatrixGroup)"]},"Tester(ComputedIsIrreducibleMatrixGroups)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedIsI\
+rreducibleMatrixGroups)"]},"Tester(IsAbsolutelyIrreducibleMatrixGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsAbsolutelyIrr\
+educibleMatrixGroup)"]},"Tester(ComputedIsPrimitiveMatrixGroups)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedIsPrimitiv\
+eMatrixGroups)"]},"Tester(MinimalBlockDimensionOfMatrixGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(MinimalBlockDimension\
+OfMatrixGroup)"]},"Tester(ComputedMinimalBlockDimensionOfMatrixGroups)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedMini\
+malBlockDimensionOfMatrixGroups)"]},"Tester(CharacteristicOfField)" : {"type" : "GAP_Attribute","implied" : ["Tester(CharacteristicOf\
+Field)"]},"Tester(RepresentationIsomorphism)" : {"type" : "GAP_Attribute","implied" : ["Tester(RepresentationIsomorphism)"]},"Tester(\
+IsMaximalAbsolutelyIrreducibleSolvableMatrixGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsMaximalAbsolutelyIrreducibleSolva\
+bleMatrixGroup)"]},"Tester(ImprimitivitySystems)" : {"type" : "GAP_Attribute","implied" : ["Tester(ImprimitivitySystems)"]},"Tester(C\
+omputedImprimitivitySystemss)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedImprimitivitySystemss)"]},"Tester(TraceField)\
+" : {"type" : "GAP_Attribute","implied" : ["Tester(TraceField)"]},"Tester(ConjugatingMatTraceField)" : {"type" : "GAP_Attribute","imp\
+lied" : ["Tester(ConjugatingMatTraceField)"]},"Tester(FingerprintMatrixGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(Finge\
+rprintMatrixGroup)"]},"Tester(IdIrreducibleSolvableMatrixGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(IdIrreducibleSolvab\
+leMatrixGroup)"]},"Tester(IdPrimitiveSolvableGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(IdPrimitiveSolvableGroup)"]},"I\
+sNilpotentLieAutomorphismRep" : {"type" : "GAP_Representation","implied" : ["IsExtLElement","IsExtRElement","IsMultiplicativeElement"\
+,"IsMultiplicativeElementWithOne","IsMultiplicativeElementWithInverse","IsAssociativeElement","IsGeneralMapping","RespectsMultiplicat\
+ion","Tester(RespectsMultiplication)","RespectsAddition","Tester(RespectsAddition)","RespectsZero","Tester(RespectsZero)","RespectsAd\
+ditiveInverses","Tester(RespectsAdditiveInverses)","RespectsScalarMultiplication","Tester(RespectsScalarMultiplication)","IsNilpotent\
+LieAutomorphismRep"]},"Tester(IsLieNilpotentOverFp)" : {"type" : "GAP_Tester","implied" : ["Tester(IsLieNilpotentOverFp)"]},"Tester(A\
+utomorphismGroupOfNilpotentLieAlgebra)" : {"type" : "GAP_Attribute","implied" : ["Tester(AutomorphismGroupOfNilpotentLieAlgebra)"]},"\
+Tester(MinimalGeneratorNumber)" : {"type" : "GAP_Attribute","implied" : ["Tester(MinimalGeneratorNumber)"]},"Tester(IsLieCover)" : {"\
+type" : "GAP_Tester","implied" : ["Tester(IsLieCover)"]},"Tester(CoverOf)" : {"type" : "GAP_Attribute","implied" : ["Tester(CoverOf)"\
+]},"Tester(CoverHomomorphism)" : {"type" : "GAP_Attribute","implied" : ["Tester(CoverHomomorphism)"]},"Tester(LieCover)" : {"type" : \
+"GAP_Attribute","implied" : ["Tester(LieCover)"]},"Tester(LieNucleus)" : {"type" : "GAP_Attribute","implied" : ["Tester(LieNucleus)"]\
+},"Tester(LieMultiplicator)" : {"type" : "GAP_Attribute","implied" : ["Tester(LieMultiplicator)"]},"Tester(IsLieAlgebraWithNB)" : {"t\
+ype" : "GAP_Tester","implied" : ["Tester(IsLieAlgebraWithNB)"]},"Tester(NilpotentBasis)" : {"type" : "GAP_Attribute","implied" : ["Te\
+ster(NilpotentBasis)"]},"Tester(IsNilpotentBasis)" : {"type" : "GAP_Tester","implied" : ["Tester(IsNilpotentBasis)"]},"Tester(LieNBDe\
+finitions)" : {"type" : "GAP_Attribute","implied" : ["Tester(LieNBDefinitions)"]},"Tester(LieNBWeights)" : {"type" : "GAP_Attribute",\
+"implied" : ["Tester(LieNBWeights)"]},"Tester(IsGroupAlgebra)" : {"type" : "GAP_Tester","implied" : ["Tester(IsGroupAlgebra)"]},"Test\
+er(IsFModularGroupAlgebra)" : {"type" : "GAP_Tester","implied" : ["Tester(IsFModularGroupAlgebra)"]},"Tester(IsPModularGroupAlgebra)"\
+ : {"type" : "GAP_Tester","implied" : ["Tester(IsPModularGroupAlgebra)"]},"Tester(UnderlyingRing)" : {"type" : "GAP_Attribute","impli\
+ed" : ["Tester(UnderlyingRing)"]},"Tester(UnderlyingField)" : {"type" : "GAP_Attribute","implied" : ["Tester(UnderlyingField)"]},"Tes\
+ter(Support)" : {"type" : "GAP_Attribute","implied" : ["Tester(Support)"]},"Tester(CoefficientsBySupport)" : {"type" : "GAP_Attribute\
+","implied" : ["Tester(CoefficientsBySupport)"]},"Tester(TraceOfMagmaRingElement)" : {"type" : "GAP_Attribute","implied" : ["Tester(T\
+raceOfMagmaRingElement)"]},"Tester(Augmentation)" : {"type" : "GAP_Attribute","implied" : ["Tester(Augmentation)"]},"Tester(IsSymmetr\
+ic)" : {"type" : "GAP_Attribute","implied" : ["Tester(IsSymmetric)"]},"Tester(IsUnitary)" : {"type" : "GAP_Attribute","implied" : ["T\
+ester(IsUnitary)"]},"Tester(WeightedBasis)" : {"type" : "GAP_Attribute","implied" : ["Tester(WeightedBasis)"]},"Tester(AugmentationId\
+ealPowerSeries)" : {"type" : "GAP_Attribute","implied" : ["Tester(AugmentationIdealPowerSeries)"]},"Tester(AugmentationIdealNilpotenc\
+yIndex)" : {"type" : "GAP_Attribute","implied" : ["Tester(AugmentationIdealNilpotencyIndex)"]},"Tester(AugmentationIdealOfDerivedSubg\
+roupNilpotencyIndex)" : {"type" : "GAP_Attribute","implied" : ["Tester(AugmentationIdealOfDerivedSubgroupNilpotencyIndex)"]},"Tester(\
+IsGroupOfUnitsOfMagmaRing)" : {"type" : "GAP_Tester","implied" : ["Tester(IsGroupOfUnitsOfMagmaRing)"]},"Tester(IsUnitGroupOfGroupRin\
+g)" : {"type" : "GAP_Tester","implied" : ["Tester(IsUnitGroupOfGroupRing)"]},"Tester(IsNormalizedUnitGroupOfGroupRing)" : {"type" : "\
+GAP_Tester","implied" : ["Tester(IsNormalizedUnitGroupOfGroupRing)"]},"Tester(UnderlyingGroupRing)" : {"type" : "GAP_Attribute","impl\
+ied" : ["Tester(UnderlyingGroupRing)"]},"Tester(NormalizedUnitGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(NormalizedUnit\
+Group)"]},"Tester(PcNormalizedUnitGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(PcNormalizedUnitGroup)"]},"Tester(Computed\
+AugmentationIdealPowerFactorGroups)" : {"type" : "GAP_Attribute","implied" : ["Tester(ComputedAugmentationIdealPowerFactorGroups)"]},\
+"Tester(PcUnits)" : {"type" : "GAP_Attribute","implied" : ["Tester(PcUnits)"]},"Tester(NaturalBijectionToPcNormalizedUnitGroup)" : {"\
+type" : "GAP_Attribute","implied" : ["Tester(NaturalBijectionToPcNormalizedUnitGroup)"]},"Tester(NaturalBijectionToNormalizedUnitGrou\
+p)" : {"type" : "GAP_Attribute","implied" : ["Tester(NaturalBijectionToNormalizedUnitGroup)"]},"Tester(GroupBases)" : {"type" : "GAP_\
+Attribute","implied" : ["Tester(GroupBases)"]},"Tester(BicyclicUnitGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(BicyclicU\
+nitGroup)"]},"Tester(UnitarySubgroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(UnitarySubgroup)"]},"IsLieAlgebraByAssociativ\
+eAlgebra" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","Is\
+ExtAElement","CategoryCollections(IsExtAElement)","CategoryCollections(IsNearAdditiveElement)","CategoryCollections(IsNearAdditiveEle\
+mentWithZero)","CategoryCollections(IsNearAdditiveElementWithInverse)","CategoryCollections(IsAdditiveElement)","IsExtLElement","Cate\
+goryCollections(IsExtLElement)","IsExtRElement","CategoryCollections(IsExtRElement)","CategoryCollections(IsMultiplicativeElement)","\
+IsGeneralizedDomain","IsExtLSet","IsAssociativeLOpDProd","IsAssociativeLOpEProd","IsDistributiveLOpDSum","IsDistributiveLOpESum","IsT\
+rivialLOpEOne","IsLeftActedOnByRing","IsLeftActedOnByDivisionRing","Tester(IsLeftActedOnByDivisionRing)","IsMagma","IsNearAdditiveMag\
+ma","IsNearAdditiveMagmaWithZero","IsNearAdditiveGroup","IsAdditivelyCommutative","Tester(IsAdditivelyCommutative)","IsLDistributive"\
+,"Tester(IsLDistributive)","IsRDistributive","Tester(IsRDistributive)","IsAnticommutative","Tester(IsAnticommutative)","IsJacobianRin\
+g","Tester(IsJacobianRing)","IsZeroSquaredRing","Tester(IsZeroSquaredRing)","IsFreeLeftModule","IsLieAlgebraByAssociativeAlgebra"]},"\
+Tester(UnderlyingAssociativeAlgebra)" : {"type" : "GAP_Attribute","implied" : ["Tester(UnderlyingAssociativeAlgebra)"]},"Tester(IsLie\
+AlgebraOfGroupRing)" : {"type" : "GAP_Tester","implied" : ["Tester(IsLieAlgebraOfGroupRing)"]},"Tester(IsBasisOfLieAlgebraOfGroupRing\
+)" : {"type" : "GAP_Tester","implied" : ["Tester(IsBasisOfLieAlgebraOfGroupRing)"]},"Tester(NaturalBijectionToLieAlgebra)" : {"type" \
+: "GAP_Attribute","implied" : ["Tester(NaturalBijectionToLieAlgebra)"]},"Tester(NaturalBijectionToAssociativeAlgebra)" : {"type" : "G\
+AP_Attribute","implied" : ["Tester(NaturalBijectionToAssociativeAlgebra)"]},"Tester(AugmentationHomomorphism)" : {"type" : "GAP_Attri\
+bute","implied" : ["Tester(AugmentationHomomorphism)"]},"Tester(IsLieMetabelian)" : {"type" : "GAP_Tester","implied" : ["Tester(IsLie\
+Metabelian)"]},"Tester(IsLieCentreByMetabelian)" : {"type" : "GAP_Tester","implied" : ["Tester(IsLieCentreByMetabelian)"]},"Tester(Li\
+eUpperNilpotencyIndex)" : {"type" : "GAP_Attribute","implied" : ["Tester(LieUpperNilpotencyIndex)"]},"Tester(LieLowerNilpotencyIndex)\
+" : {"type" : "GAP_Attribute","implied" : ["Tester(LieLowerNilpotencyIndex)"]},"Tester(LieDerivedLength)" : {"type" : "GAP_Attribute"\
+,"implied" : ["Tester(LieDerivedLength)"]},"Tester(SubgroupsOfIndexTwo)" : {"type" : "GAP_Attribute","implied" : ["Tester(SubgroupsOf\
+IndexTwo)"]},"Tester(DihedralDepth)" : {"type" : "GAP_Attribute","implied" : ["Tester(DihedralDepth)"]},"Tester(DimensionBasis)" : {"\
+type" : "GAP_Attribute","implied" : ["Tester(DimensionBasis)"]},"Tester(LieDimensionSubgroups)" : {"type" : "GAP_Attribute","implied"\
+ : ["Tester(LieDimensionSubgroups)"]},"Tester(LieUpperCodimensionSeries)" : {"type" : "GAP_Attribute","implied" : ["Tester(LieUpperCo\
+dimensionSeries)"]},"Tester(RootsAsMatrices)" : {"type" : "GAP_Attribute","implied" : ["Tester(RootsAsMatrices)"]},"Tester(IsSolvable\
+Polynomial)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSolvablePolynomial)"]},"Tester(IsSeparablePolynomial)" : {"type" : "GAP_\
+Tester","implied" : ["Tester(IsSeparablePolynomial)"]},"Tester(IsomorphismMatrixField)" : {"type" : "GAP_Attribute","implied" : ["Tes\
+ter(IsomorphismMatrixField)"]},"Tester(GaloisGroupOnRoots)" : {"type" : "GAP_Attribute","implied" : ["Tester(GaloisGroupOnRoots)"]},"\
+Tester(IsAffineCrystGroupOnRight)" : {"type" : "GAP_Tester","implied" : ["Tester(IsAffineCrystGroupOnRight)"]},"Tester(IsAffineCrystG\
+roupOnLeft)" : {"type" : "GAP_Tester","implied" : ["Tester(IsAffineCrystGroupOnLeft)"]},"Tester(IsAffineCrystGroupOnLeftOrRight)" : {\
+"type" : "GAP_Tester","implied" : ["Tester(IsAffineCrystGroupOnLeftOrRight)"]},"Tester(IsSpaceGroup)" : {"type" : "GAP_Tester","impli\
+ed" : ["Tester(IsSpaceGroup)"]},"Tester(IsStandardAffineCrystGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsStandardAffineCr\
+ystGroup)"]},"Tester(IsSymmorphicSpaceGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsSymmorphicSpaceGroup)"]},"Tester(IsPoin\
+tGroup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPointGroup)"]},"Tester(NormalizerPointGroupInGLnZ)" : {"type" : "GAP_Attribu\
+te","implied" : ["Tester(NormalizerPointGroupInGLnZ)"]},"Tester(CentralizerPointGroupInGLnZ)" : {"type" : "GAP_Attribute","implied" :\
+ ["Tester(CentralizerPointGroupInGLnZ)"]},"Tester(AffineCrystGroupOfPointGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(Aff\
+ineCrystGroupOfPointGroup)"]},"Tester(PointGroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(PointGroup)"]},"Tester(PointHomom\
+orphism)" : {"type" : "GAP_Attribute","implied" : ["Tester(PointHomomorphism)"]},"Tester(TranslationBasis)" : {"type" : "GAP_Attribut\
+e","implied" : ["Tester(TranslationBasis)"]},"Tester(InternalBasis)" : {"type" : "GAP_Attribute","implied" : ["Tester(InternalBasis)"\
+]},"Tester(TransParts)" : {"type" : "GAP_Attribute","implied" : ["Tester(TransParts)"]},"Tester(TranslationNormalizer)" : {"type" : "\
+GAP_Attribute","implied" : ["Tester(TranslationNormalizer)"]},"Tester(AffineNormalizer)" : {"type" : "GAP_Attribute","implied" : ["Te\
+ster(AffineNormalizer)"]},"Tester(IsPointHomomorphism)" : {"type" : "GAP_Tester","implied" : ["Tester(IsPointHomomorphism)"]},"Tester\
+(NiceToCryst)" : {"type" : "GAP_Attribute","implied" : ["Tester(NiceToCryst)"]},"Tester(IsFromAffineCrystGroupToFpGroup)" : {"type" :\
+ "GAP_Tester","implied" : ["Tester(IsFromAffineCrystGroupToFpGroup)"]},"Tester(IsFromAffineCrystGroupToPcpGroup)" : {"type" : "GAP_Te\
+ster","implied" : ["Tester(IsFromAffineCrystGroupToPcpGroup)"]},"IsWyckoffPosition" : {"type" : "GAP_Representation","implied" : ["Is\
+ComponentObjectRep","IsAttributeStoringRep","IsWyckoffPosition"]},"Tester(WyckoffStabilizer)" : {"type" : "GAP_Attribute","implied" :\
+ ["Tester(WyckoffStabilizer)"]},"Tester(WyckoffOrbit)" : {"type" : "GAP_Attribute","implied" : ["Tester(WyckoffOrbit)"]},"Tester(Wyck\
+offPositions)" : {"type" : "GAP_Attribute","implied" : ["Tester(WyckoffPositions)"]},"IsWyckoffGraph" : {"type" : "GAP_Filter","impli\
+ed" : ["IsWyckoffGraph"]},"Tester(CocVecs)" : {"type" : "GAP_Attribute","implied" : ["Tester(CocVecs)"]},"Tester(IsColorGroup)" : {"t\
+ype" : "GAP_Tester","implied" : ["Tester(IsColorGroup)"]},"Tester(ColorSubgroup)" : {"type" : "GAP_Attribute","implied" : ["Tester(Co\
+lorSubgroup)"]},"Tester(ColorCosetList)" : {"type" : "GAP_Attribute","implied" : ["Tester(ColorCosetList)"]},"Tester(ColorPermGroup)"\
+ : {"type" : "GAP_Attribute","implied" : ["Tester(ColorPermGroup)"]},"Tester(ColorHomomorphism)" : {"type" : "GAP_Attribute","implied\
+" : ["Tester(ColorHomomorphism)"]},"Tester(CrystCatRecord)" : {"type" : "GAP_Attribute","implied" : ["Tester(CrystCatRecord)"]},"Test\
+er(IsAlmostCrystallographic)" : {"type" : "GAP_Tester","implied" : ["Tester(IsAlmostCrystallographic)"]},"Tester(IsAlmostBieberbachGr\
+oup)" : {"type" : "GAP_Tester","implied" : ["Tester(IsAlmostBieberbachGroup)"]},"Tester(AlmostCrystallographicInfo)" : {"type" : "GAP\
+_Attribute","implied" : ["Tester(AlmostCrystallographicInfo)"]},"Tester(NaturalHomomorphismOnHolonomyGroup)" : {"type" : "GAP_Attribu\
+te","implied" : ["Tester(NaturalHomomorphismOnHolonomyGroup)"]},"Tester(HolonomyGroup)" : {"type" : "GAP_Attribute","implied" : ["Tes\
+ter(HolonomyGroup)"]},"Tester(OrientationModule)" : {"type" : "GAP_Attribute","implied" : ["Tester(OrientationModule)"]},"Tester(Bett\
+iNumbers)" : {"type" : "GAP_Attribute","implied" : ["Tester(BettiNumbers)"]},"Tester(IsIsomorphismByFinitePolycyclicMatrixGroup)" : {\
+"type" : "GAP_Tester","implied" : ["Tester(IsIsomorphismByFinitePolycyclicMatrixGroup)"]},"Tester(IsIsomorphismByPolycyclicMatrixGrou\
+p)" : {"type" : "GAP_Tester","implied" : ["Tester(IsIsomorphismByPolycyclicMatrixGroup)"]},"Tester(IsTriangularizableMatGroup)" : {"t\
+ype" : "GAP_Tester","implied" : ["Tester(IsTriangularizableMatGroup)"]},"Tester(IsZ_pi)" : {"type" : "GAP_Tester","implied" : ["Teste\
+r(IsZ_pi)"]},"Tester(NoninvertiblePrimes)" : {"type" : "GAP_Attribute","implied" : ["Tester(NoninvertiblePrimes)"]},"IsResidueClassUn\
+ion" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGener\
+alizedDomain","IsResidueClassUnion"]},"IsResidueClassUnionOfZ" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollec\
+tion","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsResidueClassUnion","IsResidueClassUnionOfZ","IsResidueClas\
+sUnionOfZorZ_pi"]},"IsResidueClassUnionOfZxZ" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicat\
+eFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsResidueClassUnion","IsResidueClassUnionOfZxZ"]},"IsResidueClassUnionOfZ_pi"\
+ : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneraliz\
+edDomain","IsResidueClassUnion","IsResidueClassUnionOfZ_pi","IsResidueClassUnionOfZorZ_pi"]},"IsResidueClassUnionOfGFqx" : {"type" : \
+"GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","Is\
+ResidueClassUnion","IsResidueClassUnionOfGFqx"]},"IsResidueClassUnionOfZorZ_pi" : {"type" : "GAP_Category","implied" : ["IsListOrColl\
+ection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsResidueClassUnion","IsResidueClassUnionOf\
+ZorZ_pi"]},"IsResidueClassUnionResidueListRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStori\
+ngRep","IsResidueClassUnionResidueListRep"]},"IsResidueClassUnionsIteratorRep" : {"type" : "GAP_Representation","implied" : ["IsCompo\
+nentObjectRep","IsResidueClassUnionsIteratorRep"]},"Tester(IsResidueClass)" : {"type" : "GAP_Tester","implied" : ["Tester(IsResidueCl\
+ass)"]},"Tester(UnderlyingIndeterminate)" : {"type" : "GAP_Attribute","implied" : ["Tester(UnderlyingIndeterminate)"]},"Tester(IsZxZ)\
+" : {"type" : "GAP_Tester","implied" : ["Tester(IsZxZ)"]},"Tester(SizeOfSmallestResidueClassRing)" : {"type" : "GAP_Attribute","impli\
+ed" : ["Tester(SizeOfSmallestResidueClassRing)"]},"Tester(Density)" : {"type" : "GAP_Attribute","implied" : ["Tester(Density)"]},"IsU\
+nionOfResidueClassesWithFixedRepresentatives" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicat\
+eFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsUnionOfResidueClassesWithFixedRepresentatives"]},"IsUnionOfResidueClassesOf\
+ZWithFixedRepresentatives" : {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDu\
+plicateFree)","IsGeneralizedDomain","IsUnionOfResidueClassesWithFixedRepresentatives","IsUnionOfResidueClassesOfZWithFixedRepresentat\
+ives","IsUnionOfResidueClassesOfZorZ_piWithFixedRepresentatives"]},"IsUnionOfResidueClassesOfZ_piWithFixedRepresentatives" : {"type" \
+: "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","\
+IsUnionOfResidueClassesWithFixedRepresentatives","IsUnionOfResidueClassesOfZ_piWithFixedRepresentatives","IsUnionOfResidueClassesOfZo\
+rZ_piWithFixedRepresentatives"]},"IsUnionOfResidueClassesOfGFqxWithFixedRepresentatives" : {"type" : "GAP_Category","implied" : ["IsL\
+istOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralizedDomain","IsUnionOfResidueClassesWithFixedRe\
+presentatives","IsUnionOfResidueClassesOfGFqxWithFixedRepresentatives"]},"IsUnionOfResidueClassesOfZorZ_piWithFixedRepresentatives" :\
+ {"type" : "GAP_Category","implied" : ["IsListOrCollection","IsCollection","IsDuplicateFree","Tester(IsDuplicateFree)","IsGeneralized\
+Domain","IsUnionOfResidueClassesWithFixedRepresentatives","IsUnionOfResidueClassesOfZorZ_piWithFixedRepresentatives"]},"IsUnionOfResi\
+dueClassesWithFixedRepsStandardRep" : {"type" : "GAP_Representation","implied" : ["IsComponentObjectRep","IsAttributeStoringRep","IsU\
+nionOfResidueClassesWithFixedRepsStandardRep"]},"Tester(IsResidueClassWithFixedRepresentative)" : {"type" : "GAP_Tester","implied" : \
+["Tester(IsResidueClassWithFixedRepresentative)"]},"Tester(IsOverlappingFree)" : {"type" : "GAP_Tester","implied" : ["Tester(IsOverla\
+ppingFree)"]},"Tester(Rho)" : {"type" : "GAP_Attribute","implied" : ["Tester(Rho)"]}}
\ No newline at end of file