From 740714dbd9750b75c7a291219d9f4c48a5397863 Mon Sep 17 00:00:00 2001
From: m-iancu <mihnea.iancu88@gmail.com>
Date: Wed, 1 Jun 2016 14:46:47 +0200
Subject: [PATCH] update names scrips and result

---
 gap/compare.py       |    4 +
 gap/docOnlyNames.txt | 2853 +++++++-------
 gap/getNames.sh      |    2 +-
 gap/namesSys.txt     | 5452 +++++++++++++--------------
 gap/sharedNames.txt  | 3329 +++++++++--------
 gap/sysOnlyNames.txt | 8427 +++++++++++++++++++++---------------------
 6 files changed, 10061 insertions(+), 10006 deletions(-)

diff --git a/gap/compare.py b/gap/compare.py
index 9d09680..fb503fb 100755
--- a/gap/compare.py
+++ b/gap/compare.py
@@ -21,6 +21,10 @@ for name in docNames:
 	if name not in sysNames:
 		docOnly.append(name)		
 
+shared.sort()
+docOnly.sort()
+sysOnly.sort()
+
 sn = open('sharedNames.txt', 'w')
 sn.write(mkstring(shared))
 sn.close
diff --git a/gap/docOnlyNames.txt b/gap/docOnlyNames.txt
index 63e5367..66459dd 100644
--- a/gap/docOnlyNames.txt
+++ b/gap/docOnlyNames.txt
@@ -1,1485 +1,1486 @@
-HasElementaryAbelianFactorGroup
-SMTX.CentMatMinPoly
-MutableBasisOfNonassociativeAlgebra
-SetParent
-PermutationGModule
-OrbitsPerms
-DixonInit
-SetInfoHandler
-MTX.BasisModuleEndomorphisms
-ProjectiveSymplecticGroup
-GeneratorsOfAdditiveMagmaWithZero
-SP
-AlternatingGroup
-LcmInt
-SubnearAdditiveMagmaWithZero
-MTX.DegreeSplittingField
-Z
-PresentationSubgroup
-ErrorNoReturn
-VectorSpace
-DoubleCosets
-DirectoryDesktop
-RepresentativesPowerMaps
-CallWithTimeoutList
-Subalgebra
-TrivialGroup
-MorClassLoop
-IsRestrictedLieObjectCollection
-LiftedPcElement
-AllHomomorphismClasses
-LinearCombinationPcgs
-IsElementOfFreeMagmaRingFamily
-RemoveRelator
-EV
-One
-SubalgebraNC
-IsFreeGroup
-SimplifyPresentation
-SubgroupShell
-AsSet
-UpEnv
-IsField
-IsOddInt
-GeneratorsOfLeftModule
-SubmonoidNC
-SortedSparseActionHomomorphism
-IsWordWithOne
-SameBlock
-PresentationNormalClosure
-DirectoryContents
-PGU
-IsGroupGeneralMapping
-\%2F
-Identity
-ED
-SMTX.AlgElNullspaceDimension
+ANFAutomorphism
+ARCH_IS_MAC_OS_X
+ARCH_IS_UNIX
+ARCH_IS_WINDOWS
+AbelianGroup
+AbelianInvariantsNormalClosureFpGroup
+AbelianInvariantsNormalClosureFpGroupRrs
 AbelianInvariantsSubgroupFpGroup
-Extract
-LinearIndependentColumns
-Where
-TraceMethods
-RightIdeal
-PowerMapsAllowedBySymmetrizations
-AsBlockMatrix
-IsRecordCollection
-IsPcGroupHomomorphismByImages
-JoinOfIdempotentPartialPermsNC
-NiceMonomorphismAutomGroup
-DescriptionOfRootOfUnity
-CF
-GeneralMappingsFamily
-RestrictedTransformationNC
-MTX.Field
-OrthogonalComponents
-FreeMonoid
-ER
-SubadditiveMagmaWithZero
-SubgroupOfWholeGroupByQuotientSubgroup
-AdditiveInverse
-PartialOrderByOrderingFunction
-MagmaWithOne
-ElementaryAbelianGroup
-DnLatticeIterative
-WordAlp
-IsCochainCollection
-FreeAssociativeAlgebra
-InstallSubsetMaintenance
-ContainedMaps
-ProjectedPcElement
-MTX.BasesCompositionSeries
-Pcgs_OrbitStabilizer
-FullMatrixSpace
-FullTransformationMonoid
-CoverageLineByLine
-SubdirectProduct
-Set
-OnRight
-FullMatrixLieAlgebra
-HMSMSec
-ShortLexLeqPartialPerm
-MathieuGroup
-\{\}
-Edit
-SMTX.AlgEl
-LargestElementStabChain
-ImfNumberQQClasses
-LieAlgebra
-FactorGroup
-SpecialSemilinearGroup
-OnPairs
-RightIdealNC
-MagmaElement
-IsZmodpZObjSmall
-NearAdditiveMagmaWithZero
-SparseActionHomomorphism
-DicyclicGroup
-IdealNC
-IsZeroSquaredElementCollection
-ProjectiveSpecialUnitaryGroup
-SpecialLinearGroup
-LoadPackage
-MonomialGrevlexOrdering
-gap_ref_manual.xml
-SaveCommandLineHistory
+AbelianInvariantsSubgroupFpGroupMtc
 AbelianInvariantsSubgroupFpGroupRrs
-NamesOfComponents
-IsAdditiveMagmaWithZero
+AbelianNumberField
+AbsInt
+AbsoluteIrreducibleModules
+AbsolutelyIrreducibleModules
+AbstractWordTietzeWord
+Action
+ActionHomomorphism
+ActivateProfileColour
+AddGenerator
+AddGeneratorsExtendSchreierTree
+AddRelator
+AdditiveInverse
+AdditiveInverseAttr
+AdditiveInverseOp
+AdditiveInverseSM
+AffineActionLayer
+Agemo
+Algebra
+AlgebraByStructureConstants
+AlgebraHomomorphismByImages
+AlgebraWithOne
+AlgebraWithOneHomomorphismByImages
+AllAutomorphisms
+AllEndomorphisms
+AllHomomorphismClasses
+AllHomomorphisms
+AllIrreducibleSolvableGroups
+AllSmallGroups
+AllSmallNonabelianSimpleGroups
+AllSubgroups
+AlternatingGroup
+AntiSymmetricParts
+AppendTo
+ApplicableMethod
+ApplicableMethodTypes
+Apply
+ApproximateSuborbitsStabilizerPermGroup
+ArithmeticElementCreator
+Arrangements
+AsAlgebra
+AsAlgebraWithOne
+AsBinaryRelationOnPoints
+AsBlockMatrix
+AsField
+AsSet
+AsSubalgebra
+AsSubalgebraWithOne
+AsVectorSpace
+AscendingChain
+Assert
+AssertionLevel
+AssignNiceMonomorphismAutomorphismGroup
+AssociatedPartition
+AtlasIrrationality
+AttributeValueNotSet
+AugmentedCosetTableInWholeGroup
+AugmentedCosetTableMtc
+AugmentedCosetTableRrs
+BaseFixedSpace
+BaseStabChain
+BaseSteinitzVectors
+BasicSpinRepresentationOfSymmetricGroup
+Bell
+Bernoulli
+BestQuoInt
+BestSplittingMatrix
+BibEntry
 BinaryRelationByElements
-MonomialExtGrlexLess
-ZeroOp
+BinaryRelationOnPoints
+BinaryRelationOnPointsNC
+BindGlobal
+Binomial
+BlistList
+BlockMatrix
+Blocks
+BlowUpIsomorphism
+BlownUpMat
+BlownUpVector
+BombieriNorm
+CF
+CIUnivPols
+CallWithTimeout
+CallWithTimeoutList
+CanEasilyCompareElementsFamily
+CanEasilySortElementsFamily
+Cartesian
+Center
+CentralIdempotentsOfAlgebra
+CentralizerSizeLimitConsiderFunction
+ChangeStabChain
+CharInt
+CharSInt
+CharacterTableRegular
+CharacterTableWithStoredGroup
+CharacterTableWreathSymmetric
+CheckDigitISBN
+CheckDigitISBN13
+CheckDigitPostalMoneyOrder
+CheckDigitTestFunction
+CheckDigitUPC
+CheckFixedPoints
+CheckForHandlingByNiceBasis
+CheckPermChar
+ChineseRem
+Chomp
+Cite
+ClassFunctionSameType
+ClassPositionsOfCenter
+ClassPositionsOfNormalSubgroup
+ClassStructureCharTable
+ClassesSolvableGroup
+ClearCacheStats
+ClearProfile
+ClosureGroupAddElm
+ClosureGroupCompare
+ClosureGroupDefault
+ClosureGroupIntest
+ClosureSubgroup
+ClosureSubgroupNC
+CodePcGroup
+CodePcgs
+CodegreeOfPartialPerm
 CoefficientsMultiadic
-QuotientPolynomialsExtRep
-EU
-DisplayInformationPerfectGroups
-StraightLineProgram
-IsDuplicateFreeList
+CoeffsCyc
+CollapsedMat
+ColorPrompt
+Combinations
+CommutativeDiagram
+CompanionMat
+CompareVersionNumbers
+CompatiblePairs
+ComplementClassesRepresentativesEA
+ComplexificationQuat
+CompositionMapping
+CompositionMapping2General
+CompositionMaps
+CompositionOfStraightLinePrograms
+ComputedIsPSolubleCharacterTables
+Concatenation
+Congruences
+ConjugacyClassesByOrbits
+ConjugacyClassesByRandomSearch
+ConjugatorAutomorphism
+ConsiderKernels
+ConsiderSmallerPowerMaps
+ConsiderStructureConstants
+ConsiderTableAutomorphisms
+ConstituentsCompositionMapping
+ContainedCharacters
+ContainedDecomposables
+ContainedMaps
+ContainedPossibleCharacters
+ContainedPossibleVirtualCharacters
+ContainedSpecialVectors
+ContinuedFractionApproximationOfRoot
+ContinuedFractionExpansionOfRoot
+ConvertToBlistRep
+ConvertToCharacterTable
+ConvertToCharacterTableNC
+ConvertToMatrixRep
+ConvertToMatrixRepNC
 ConvertToRangeRep
-SpecialUnitaryGroup
-MagmaHomomorphismByFunctionNC
-TrivialSubmodule
-IsEmptyString
-Derangements
-ReturnFail
-ExternalSubset
-NamesFilter
-Test
-BaseFixedSpace
-AssociatedPartition
-DisplayPackageLoadingLog
-EC
-Filtered
-RemInt
-MatLieAlgebra
-GeneralizedEigenvalues
+ConvertToStringRep
+ConvertToTableOfMarks
+ConvertToVectorRep
+ConvertToVectorRepNC
+ConwayPolynomial
+CopyListEntries
+CopyOptionsDefaults
+CopyStabChain
 CopyToStringRep
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-IsDomain
-Setter
-MatClassMultCoeffsCharTable
-GammaL
-PrimePowersInt
-ReflectionMat
-Factorial
-ConjugatorAutomorphism
+CorrespondingGeneratorsByModuloPcgs
+CosetDecomposition
+CosetTableFromGensAndRels
+CoverageLineByLine
+CrcFile
+CrcString
+Cycle
+CycleIndex
+CycleLength
+CycleLengths
+Cycles
+CyclicGroup
+CyclotomicField
+CyclotomicPolynomial
+DMYDay
+DMYhmsSeconds
+DataType
+DayDMY
+DaysInMonth
+DaysInYear
+DeclareAttribute
+DeclareAutoreadableVariables
+DeclareCategory
+DeclareFilter
 DeclareGlobalFunction
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-ClosureGroupDefault
-AsSubalgebra
-SmallerDegreePermutationRepresentation
-ClassStructureCharTable
-ProbabilityShapes
-ExactSizeConsiderFunction
-OrthogonalEmbeddings
-SetCyclotomicsLimit
-Tuples
-IsTransformationMonoid
-AllHomomorphisms
-SMTX.SortHomGModule
-InvariantElementaryAbelianSeries
-ConsiderKernels
-\.\:\=
-FullRowModule
-SubspaceNC
-NearAdditiveMagma
-PartitionsGreatestLE
-RemoveFile
-PQuotient
-DnLattice
-ARCH_IS_WINDOWS
-IntegralizedMat
-IteratorByFunctions
-ActivateProfileColour
-Minimum
-UserPreference
-ElementaryDivisorsTransformationsMatDestructive
-CompositionMapping
-PolynomialDivisionAlgorithm
-\<
-MagmaByMultiplicationTable
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-TzPrintPairs
-Ideal
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-IsDxLargeGroup
-IsDigitChar
-ImfMatrixGroup
-LiftedInducedPcgs
-IsWordWithInverse
-IdealByGenerators
-SignPartition
-TemporaryGlobalVarName
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+DeclareHandlingByNiceBasis
+DeclareInfoClass
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+DeclareProperty
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+DeclareUserPreference
+DecodeTree
+DecompositionInt
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+DefaultField
 DefaultRing
-GU
-PermList
-TestPerm4
-AbsolutelyIrreducibleModules
-CyclotomicField
-OrbitStabChain
-IsFullTransformationMonoid
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-InputTextUser
-Group
-ForAny
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-ZeroSM
-ET
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-EB
-PcGroupCode
-ComputedIsPSolubleCharacterTables
-AlgebraByStructureConstants
-NewRepresentation
-ValueGlobal
-SymplecticComponents
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-TwoSidedIdealNC
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-IdGap3SolvableGroup
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-Unbind\[\]
-PrintFactorsInt
-CheckFixedPoints
-PrintTo
-DirectoriesPackagePrograms
-SuzukiGroup
-IsVectorSpace
-ComplementClassesRepresentativesEA
-MTX.IsomorphismIrred
-EmptyStabChain
-Zero
+DefiningQuotientHomomorphism
+DegreeOfPartialPerm
+DegreeOfTransformation
+DenominatorCyc
+DenominatorRat
 DenseHashTable
-ClassPositionsOfNormalSubgroup
-Error
-Positions
-FreeGroup
-IsAdditiveGroupGeneralMapping
-TransferDiagram
-FactorGroupFpGroupByRels
-Assert
-\=
-Congruences
-InverseAttr
-SplitCharacters
-MagmaWithOneByMultiplicationTable
-DirectoryHome
-MTX.NormedBasisAndBaseChange
-IsLeftModuleHomomorphism
-IsFpMonoid
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-SMTX.AlgElNullspaceVec
-SMTX.GoodElementGModule
-TestPerm5
-SubadditiveGroupNC
-TzPrintGenerators
-MutableBasisOfIdealInNonassociativeAlgebra
-StructuralCopy
-StringPP
-DxIncludeIrreducibles
-SizesCentralisers
-Apply
-NrPartitions
-RestrictOutputsOfSLP
-ComplexificationQuat
-MTX.IsIrreducible
-SMTX.AlgElCharPolFac
-SU
-MinusCharacter
-MTX.BasesMinimalSupermodules
-FreeMagmaRing
-Fibonacci
-MappingPermListList
+Derangements
+Derivations
+DerivedSubgroupsTom
+DescriptionOfRootOfUnity
+DeterminantIntMat
+DiagonalMat
+DiagonalOfMat
+DiagonalizeIntMat
+DictionaryByPosition
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+DifferenceBlist
+DihedralGroup
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+DirectSum
+DirectoriesLibrary
+DirectoriesPackageLibrary
+DirectoriesPackagePrograms
+DirectoriesSystemPrograms
+DirectoryContents
+DirectoryCurrent
+DirectoryDesktop
+DirectoryHome
 DirectoryTemporary
-QuoInt
-Subspace
+DisableAttributeValueStoring
+DisplayCacheStats
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+DisplayEggBoxOfDClass
+DisplayImfInvariants
+DisplayInformationPerfectGroups
+DisplayOptionsStack
+DisplayPackageLoadingLog
+DisplayProfile
+DivisorsInt
+DixonInit
+DixonSplit
+DixontinI
+DnLattice
+DnLatticeIterative
+Domain
+DotFileLatticeSubgroups
+DoubleCosets
+DoubleHashArraySize
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+E
+EB
+EC
+ED
+EE
+EF
+EG
+EH
+EI
+EJ
+EK
+EL
+EM
+ER
 ES
-StartsWith
-OnLines
-Monoid
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-PolynomialByExtRepNC
-IsZmodpZObjLarge
-SubadditiveMagmaWithZeroNC
-SetFloats
-IsWordCollection
-TensorProductGModule
-InstallIsomorphismMaintenance
-GroebnerBasisNC
-DifferenceBlist
-IntersectionBlist
-SubalgebraWithOneNC
-SparseHashTable
-CompareVersionNumbers
-VectorSpaceByPcgsOfElementaryAbelianGroup
-ConvertToMatrixRep
-GeneralizedEigenspaces
-CrcString
-CommutativeDiagram
-IsNearRingElementWithOne
-PermCharInfo
-ARCH_IS_MAC_OS_X
-ShowUserPreferences
-ProjectiveActionHomomorphismMatrixGroup
-IsCommutativeElementCollColl
-MutableBasisOfClosureUnderAction
-DayDMY
-IsFFECollection
-NewOperation
-IteratorOfPartitions
-BestSplittingMatrix
-RingByStructureConstants
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-UnbindElmWPObj
-Images
-GeneratorsOfAlgebra
-InstallFactorMaintenance
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-PresentationSubgroupMtc
-PSp
-FreeLeftModule
-IsAbelian
-PadicExtensionNumberFamily
-ArithmeticElementCreator
-OrbitLength
-IsPSolubleCharacterTable
+ET
+EU
+EV
+EW
+EX
+EY
+Edit
+ElementOrdersPowerMap
+ElementProperty
+ElementaryAbelianGroup
+ElementaryDivisorsMatDestructive
+ElementaryDivisorsTransformationsMatDestructive
+Elements
+ElementsStabChain
+EliminationOrdering
+ElmWPObj
+EmptyBinaryRelation
+EmptyMatrix
+EmptyPartialPerm
+EmptyPlist
+EmptySCTable
+EmptyStabChain
+EmptyString
+EnableAttributeValueStoring
+EndlineFunc
+EndsWith
+EnumeratorByFunctions
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 EnumeratorOfTuples
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-AppendTo
-IsUEALatticeElementCollection
-NearAdditiveGroup
-PresentationViaCosetTable
-IsAdditiveElementWithInverse
-IsomorphismMatrixAlgebra
-IsGaussInt
-IsSubsetBlist
-FamilyObj
-IsAlgebraWithOne
-TzGo
-FrobeniusCharacterValue
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-RestrictedTransformation
-SetFilterObj
-ListBlist
-IsAlgebraGeneralMapping
-NrConjugacyClassesPGU
-OCOneCocycles
-IsGroupHomomorphism
-IsRightOperatorAdditiveGroup
-IsElementOfFreeMagmaRingCollection
+EpimorphismNilpotentQuotient
+EpimorphismSolvableQuotient
+EquivalenceRelationByPairs
+EquivalenceRelationByPairsNC
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+EquivalenceRelationByPartitionNC
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+EquivalenceRelationByRelation
+Error
+ErrorCount
+ErrorNoReturn
+EvalStraightLineProgElm
+EvalString
+ExactSizeConsiderFunction
 Exec
-IsGaussRat
-DotFileLatticeSubgroups
-ShowPackageVariables
-RandomInvertibleMat
-MonomialLexOrdering
-PcGroupFpGroup
-GL
-NrRestrictedPartitions
-IsSubgroup
-SubalgebraWithOne
-SigmaL
-Bernoulli
-RandomPartialPerm
-ClosureSubgroupNC
-PartialPerm
-ShowMultiplicationTable
-Perform
-InputOutputLocalProcess
-OneAttr
-RationalFunctionByExtRep
-InstallValue
-IsFFECollColl
-OnSetsSets
-SemigroupByMultiplicationTable
-Cartesian
-ClosureSubgroup
-RepresentativeAction
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-IrreducibleSolvableGroupMS
-ZmodpZ
-NewFamily
-MTX.BasisSocle
-SmallRing
-Union
-CopyStabChain
-NrConjugacyClassesGL
-QuaternionGroup
-NamesLocalVariablesFunction
-CheckDigitPostalMoneyOrder
-Submagma
-ZmodnZ
-ConvertToMatrixRepNC
-IdSmallGroup
-TzPreImagesNewGens
-IsExecutableFile
-DisableAttributeValueStoring
-MTX.InvariantBilinearForm
-SMTX.AlgElCharPol
-SecondsDMYhms
-OnBreak
-RestrictedLieAlgebraByStructureConstants
-EndsWith
-KeyDependentOperation
-TrivialIterator
-GModuleByMats
-View
-SecHMSM
-DisplayCacheStats
-Sz
-QuotRemLaurpols
-MolienSeries
+ExtendRootDirectories
+ExtendStabChain
+ExteriorCentre
+ExternalOrbit
+ExternalSubset
+Extract
+ExtraspecialGroup
+FORCE_QUIT_GAP
+FactorFreeSemigroupByRelations
+FactorGroup
+FactorGroupFpGroupByRels
+FactorGroupNormalSubgroupClasses
+Factorial
+FactorsInt
+FamiliesOfRows
+FamilyObj
+Fibonacci
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+FieldByGenerators
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+FindSl2
+First
+Float
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 FreeLieAlgebra
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-SMTX.Getter
-LatticeByCyclicExtension
-Quadratic
+FreeMagma
+FreeMagmaRing
+FreeMagmaWithOne
+FreeMonoid
 FreeProduct
-ChangeStabChain
-StringDate
-GroupHomomorphismByImages
-DisplayImfInvariants
-DoubleHashArraySize
-IrreducibleSolvableGroup
-DirectoriesSystemPrograms
-InducedClassFunctionsByFusionMap
-TestPerm2
-IsTransformationCollection
-InverseOp
-NamesSystemGVars
-NrCombinations
-EpimorphismNilpotentQuotient
-UniteBlistList
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-PSL
-ForAll
-DeterminantIntMat
-ZmodpZNC
-PrintCharacterTable
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-SimplifiedFpGroup
-LeftIdeal
-IsFiniteOrderElementCollection
-IsRingElement
-AsAlgebraWithOne
-ShowArgument
+FreeSemigroup
+FrobeniusCharacterValue
+FullMatrixAlgebra
+FullMatrixAlgebraCentralizer
+FullMatrixLieAlgebra
+FullMatrixModule
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+FullTransformationSemigroup
+FusionsAllowedByRestrictions
+GAP_EXIT_CODE
+GF
+GL
+GModuleByMats
 GO
-OrthogonalEmbeddingsSpecialDimension
-SetNameObject
-NameRNam
-Info
-IsLineByLineProfileActive
-PresentationFpGroup
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-Arrangements
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-UnivariatenessTestRationalFunction
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-MinimalNonmonomialGroup
-RepresentativesFusions
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-BinaryRelationOnPointsNC
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-MatrixLieAlgebra
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-Runtime
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-EvalStraightLineProgElm
-Subgroup
-MonomialGrlexOrdering
-EM
-SubringNC
-PadicCoefficients
-ConjugacyClassesByOrbits
-Ring
-EnumeratorByFunctions
-ARCH_IS_UNIX
-ProfileLineByLine
-Combinations
+GU
+GaloisField
+GammaL
+GapInputPcGroup
+GapInputSCTable
+GasmanLimits
+GasmanMessageStatus
+GasmanStatistics
 Gcd
-ListPerm
-IsAdditiveMagmaWithInverses
-\.
-RationalFunctionByExtRepWithCancellation
-CheckDigitTestFunction
-ConvertToVectorRep
-IsomorphismSCAlgebra
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-AbsInt
-OrbitsishOperation
-InParentFOA
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-MagmaWithInversesByMultiplicationTable
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-LaTeXStringDecompositionMatrix
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-CentralIdempotentsOfAlgebra
-SubgroupOfWholeGroupByCosetTable
-NaturalLeqPartialPerm
-CycleLength
-IsLeftModuleGeneralMapping
-LinearActionLayer
-SetUserPreference
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-NrUnorderedTuples
-LaurentPolynomialByExtRep
-TzPrintStatus
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-ApproximateSuborbitsStabilizerPermGroup
-IntermediateResultOfSLP
-ProfileOperations
-EquivalenceRelationByPartition
-ImfInvariants
-InstallImmediateMethod
-DiagonalMat
-PushOptions
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-NullMat
-ConsiderTableAutomorphisms
-OrbitPowerMaps
-Submonoid
-IsValidIdentifier
-AugmentedCosetTableMtc
-IsLieAlgebra
+GcdInt
+GcdRepresentation
 Gcdex
-Subfield
-MTX.BasisRadical
-CosetDecomposition
-PreImage
-UnloadSmallGroupsData
-Runtimes
-DeclareUserPreference
-NormalFormIntMat
-Image
-ReturnFirst
-Center
-STOP_TEST
-TzSearch
+GeneralLinearGroup
+GeneralMappingByElements
+GeneralMappingsFamily
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+GeneratorsOfAdditiveMagmaWithZero
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+GeneratorsOfAlgebraWithOne
+GeneratorsOfField
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+GeneratorsOfIdeal
+GeneratorsOfLeftModule
+GeneratorsOfLeftVectorSpace
+GeneratorsOfMonoid
+GeneratorsOfPresentation
+GeneratorsOfRightModule
+GeneratorsOfSemigroup
+GeneratorsOfVectorSpace
+GeneratorsPrimeResidues
+GetCyclotomicsLimit
+GetFusionMap
+GroebnerBasisNC
+Group
+GroupHomomorphismByFunction
+GroupHomomorphismByImages
+GroupRing
+GroupStabChain
+HELP_ADD_BOOK
+HELP_REMOVE_BOOK
+HMSMSec
+HasAbelianFactorGroup
+HasElementaryAbelianFactorGroup
+HasParent
+HenselBound
+HexStringInt
+HomomorphismQuotientSemigroup
 IdFunc
-PrevPrimeInt
-PermChars
-OnSetsTuples
-RedispatchOnCondition
-IsReadableFile
-NrPartitionTuples
-NamesUserGVars
-PrimeResidues
-SMTX.CentMat
-SetElmWPObj
-SubringWithOneNC
-TransposedMat
+IdGap3SolvableGroup
+IdSmallGroup
+Ideal
+IdealByGenerators
+IdealNC
+Identity
+IdentityBinaryRelation
 IdentityFromSCTable
-IsRingWithOne
-MostFrequentGeneratorFpGroup
-FilenameFunc
-GroupStabChain
-InitPowerMap
-Stirling2
-EL
-FullMatrixAlgebraCentralizer
-PermutationOfImage
-AbstractWordTietzeWord
-ReduceStabChain
-DeclareInfoClass
-TransposedMatAttr
+IdentityMat
+IdsOfAllSmallGroups
+Image
+Images
+ImfInvariants
+ImfMatrixGroup
+ImfNumberQClasses
+ImfNumberQQClasses
 ImfNumberZClasses
-CorrespondingGeneratorsByModuloPcgs
-NFInverseMonoid
-SymmetricGroup
-TzNewGenerator
-IsSemilatticeAsSemigroup
-\{\}\:\=
-SubadditiveMagmaNC
-SetReducedMultiplication
-MTX.Indecomposition
-CheckForHandlingByNiceBasis
-IntermediateResultOfSLPWithoutOverwrite
+Immutable
+InParentFOA
+IndeterminateNumberOfLaurentPolynomial
+Indeterminateness
+IndeterminatesOfFunctionField
+IndexPeriodOfTransformation
+IndicesStabChain
+Indirected
+InducedAutomorphism
+InducedClassFunctionsByFusionMap
+Info
+InitFusion
+InitPowerMap
+InnerAutomorphism
+InputFromUser
+InputOutputLocalProcess
+InputTextNone
+InputTextUser
+InsertTrivialStabilizer
+InstallAtExit
 InstallCharReadHookFunc
-BinaryRelationOnPoints
-PowerPartition
-EliminationOrdering
-\[\]
-Agemo
-NrOrderedPartitions
+InstallFactorMaintenance
+InstallFlushableValue
+InstallFlushableValueFromFunction
+InstallGlobalFunction
+InstallHandlingByNiceBasis
+InstallImmediateMethod
+InstallIsomorphismMaintenance
+InstallMethod
+InstallOtherMethod
+InstallSubsetMaintenance
+InstallTrueMethod
+InstallValue
+InstalledPackageVersion
+IntChar
+IntHexString
+IntScalarProducts
+IntegralizedMat
+IntegratedStraightLineProgram
+IntermediateGroup
+IntermediateResultOfSLP
+IntermediateResultOfSLPWithoutOverwrite
+IntermediateResultsOfSLPWithoutOverwrite
+IntersectBlist
+Intersection
+IntersectionBlist
+InvariantElementaryAbelianSeries
+InvariantSubgroupsElementaryAbelianGroup
+Inverse
+InverseAttr
+InverseMap
+InverseMonoid
+InverseOfTransformation
+InverseOp
+InverseRepresentative
+InverseSM
+InverseSemigroup
+IrreducibleDifferences
+IrreducibleRepresentationsDixon
+IrreducibleSolvableGroup
+IrreducibleSolvableGroupMS
+IsAbelian
+IsAdditiveElementWithInverse
+IsAdditiveElementWithZero
+IsAdditiveGroup
+IsAdditiveGroupGeneralMapping
+IsAdditiveGroupHomomorphism
+IsAdditiveMagma
+IsAdditiveMagmaWithInverses
+IsAdditiveMagmaWithZero
+IsAdditivelyCommutativeElementCollColl
+IsAdditivelyCommutativeElementCollection
+IsAdditivelyCommutativeElementFamily
+IsAlgebra
+IsAlgebraGeneralMapping
+IsAlgebraHomomorphism
+IsAlgebraModuleElementCollection
+IsAlgebraModuleElementFamily
+IsAlgebraWithOne
 IsAlgebraWithOneGeneralMapping
-PrintCSV
-DeclareOperation
-IsFLMLOR
-RewriteWord
-IdsOfAllSmallGroups
-Field
-UnprofileMethods
-RNamObj
-TzEliminate
-IsCharCollection
-Subsemigroup
-UntraceMethods
-StringFactorizationWord
-Sum
-NonnegIntScalarProducts
-ValueCochain
-ANFAutomorphism
-IsRingGeneralMapping
-AddGenerator
-MakeReadOnlyGlobal
-ElementProperty
+IsAlgebraWithOneHomomorphism
+IsAlphaChar
+IsAssocWord
 IsAssocWordWithInverse
-MTX.InducedActionSubmoduleNB
-InverseRepresentative
-SortedCharacterTable
-IsPermCollection
-BestQuoInt
-SizesPerfectGroups
-SubmagmaWithOneNC
-InverseOfTransformation
-PopOptions
-UnInstallCharReadHookFunc
-TestHomogeneous
-GaloisField
-BlockMatrix
-SubnearAdditiveGroup
-OneFactorBound
-SetDefaultInfoOutput
-DeclareAutoreadableVariables
-InputTextNone
-CompanionMat
-NumberPerfectGroups
-Parent
-JoinStringsWithSeparator
+IsAssocWordWithOne
+IsAssociativeElementCollColl
+IsAssociativeElementCollection
+IsBasicWreathLessThanOrEqual
+IsBijective
+IsBinaryRelation
 IsBound
-IsLieObjectCollection
-ProfileGlobalFunctions
-DeclareRepresentation
-StraightLineProgGens
-BaseStabChain
-LoadDynamicModule
-PartitionTuples
-AssertionLevel
-BindGlobal
-ImfNumberQClasses
-SubtractBlist
-OrderOfRewritingSystem
-CIUnivPols
-RemoveStabChain
-GapInputSCTable
-SizeBlist
-MTX.HomogeneousComponents
-FactorFreeSemigroupByRelations
-RandomMat
-AdditiveInverseOp
-Semigroup
-LieAlgebraByStructureConstants
-IsAdditiveGroup
-EnumeratorOfCombinations
-GeneratorsOfField
-IteratorList
-LLL
-Print
-AbelianInvariantsNormalClosureFpGroupRrs
-ConstituentsCompositionMapping
+IsBoundElmWPObj
+IsBoundGlobal
+IsBound\.
+IsBound\[\]
+IsCharCollection
+IsCheapConwayPolynomial
+IsClassFusionOfNormalSubgroup
+IsCochainCollection
+IsCollectionFamily
+IsCommutativeElementCollColl
+IsCommutativeElementCollection
+IsConjugatorAutomorphism
+IsCyclotomicMatrixGroup
+IsDigitChar
+IsDirectoryPath
+IsDistributive
+IsDivisionRing
+IsDomain
+IsDuplicateFreeList
+IsDxLargeGroup
+IsElementOfFreeMagmaRingCollection
+IsElementOfFreeMagmaRingFamily
+IsElementOfMagmaRingModuloRelationsCollection
+IsElementOfMagmaRingModuloRelationsFamily
+IsEmptyString
+IsEvenInt
+IsExecutableFile
+IsExistingFile
+IsFFECollColl
+IsFFECollCollColl
+IsFFECollection
+IsFFEMatrixGroup
+IsFLMLOR
+IsFLMLORWithOne
+IsField
+IsFiniteOrderElementCollColl
+IsFiniteOrderElementCollection
+IsFixedStabilizer
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+IsFpMonoid
+IsFpSemigroup
+IsFreeGroup
+IsFreeMagmaRingWithOne
+IsFromFpGroupHomomorphismByImages
+IsFromFpGroupStdGensHomomorphismByImages
+IsFullTransformationMonoid
+IsGL
+IsGaussInt
+IsGaussRat
+IsGeneralMappingFamily
+IsGroup
+IsGroupGeneralMapping
+IsGroupHomomorphism
+IsIdenticalObj
+IsInjectiveListTrans
+IsInverseMonoid
+IsJacobianElementCollColl
 IsJacobianElementCollection
-IsFFEMatrixGroup
-ProductX
+IsLeftAlgebraModuleElementCollection
+IsLeftModule
+IsLeftModuleGeneralMapping
+IsLeftModuleHomomorphism
+IsLeftOperatorAdditiveGroup
+IsLeftVectorSpace
+IsLexicographicallyLess
+IsLieAlgebra
+IsLieObjectCollection
+IsLineByLineProfileActive
+IsLowerAlphaChar
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+IsMatrix
+IsMatrixGroup
+IsMatrixSpace
 IsMonoid
-ElmWPObj
-Tester
-LatticeSubgroupsByTom
-IsBinaryRelation
-PGL
-SimpleLieAlgebra
-EmptyPartialPerm
-IsRingElementWithInverse
-AttributeValueNotSet
-EK
-SMTX.IrreducibilityTest
-SetPackagePath
-ReadCSV
-LogInt
-\^
-CheckDigitISBN
-SubmagmaNC
-SizeScreen
-SubsemigroupNC
-UnorderedTuples
-CentralizerSizeLimitConsiderFunction
-DisplayCompositionSeries
-PermutationMat
-IsomorphismGroups
-IsRationals
-RemoveCharacters
-MakeReadWriteGlobal
-ProjectiveSpecialLinearGroup
-ContainedPossibleVirtualCharacters
-MatAlgebra
-ProjectiveActionOnFullSpace
-StabilizerPcgs
-AbelianInvariantsNormalClosureFpGroup
-ShowOtherMethods
-MonoidByMultiplicationTable
-ReturnFalse
-EvalString
-AllSmallGroups
-Subring
-ConvertToVectorRepNC
-IsSymmetricInverseMonoid
-TestJacobi
-MTX.InducedActionMatrixNB
-GeneralOrthogonalGroup
-IsJacobianElementCollColl
-PurePadicNumberFamily
+IsNaturalGLnZ
 IsNaturalSLnZ
-IntegratedStraightLineProgram
-AsField
-PackageVariablesInfo
-UnbindGlobal
-RankOfPartialPerm
-PcElementByExponents
-LieCenter
-TestPackageAvailability
-CopyListEntries
-GeneralUnitaryGroup
-DecodeTree
-SizeStabChain
-IsPrimitiveRootMod
-IsSubmonoidFpMonoid
-ClearCacheStats
-E
-RankFilter
-MTX.Homomorphism
-Submodule
-ReesZeroMatrixSemigroupElement
-RootsOfPolynomial
-NumbersString
-UnionBlist
-PermBounds
+IsNearAdditiveMagmaWithInverses
+IsNearRingElement
+IsNearRingElementWithInverse
+IsNearRingElementWithOne
+IsNonassocWordCollection
+IsNonassocWordWithOne
+IsNonassocWordWithOneCollection
 IsNotIdenticalObj
-ListStabChain
-IsTransformationSemigroup
-MTX.InducedActionMatrix
-ExteriorCentre
-DihedralGroup
-ColorPrompt
-BombieriNorm
-IntHexString
-X
-ApplicableMethod
-FORCE_QUIT_GAP
-HELP_REMOVE_BOOK
-IsConjugatorAutomorphism
-IsRingWithOneGeneralMapping
-CanEasilyCompareElementsFamily
-IsAdditiveMagma
-ElementsStabChain
-SetInfoOutput
-PermListList
-OnQuit
+IsOddInt
+IsPSolubleCharacterTable
+IsPSolubleCharacterTableOp
+IsPackageMarkedForLoading
+IsPadicExtensionNumberFamily
+IsPartialPermCollection
+IsPartialPermMonoid
+IsPartialPermSemigroup
+IsPcGroup
+IsPcGroupHomomorphismByImages
+IsPermCollColl
+IsPermCollection
+IsPermGroup
+IsPermGroupHomomorphism
+IsPermGroupHomomorphismByImages
+IsPosInt
+IsPrimeInt
+IsPrimePowerInt
+IsPrimitiveRootMod
+IsProbablyPrimeInt
+IsPurePadicNumberFamily
+IsQuaternionCollColl
+IsQuaternionCollection
+IsRationals
+IsReadOnlyGlobal
+IsReadableFile
+IsRecordCollColl
+IsRecordCollection
+IsReductionOrdering
+IsReesMatrixSubsemigroup
+IsReesZeroMatrixSubsemigroup
+IsRestrictedJacobianElementCollColl
 IsRestrictedJacobianElementCollection
-OrderMod
-IsAlphaChar
-InstallAtExit
-LogPackageLoadingMessage
-ShowImpliedFilters
-InstallMethod
-OutputTextUser
-SO
-IsFreeMagmaRingWithOne
-EJ
-NrPrimitiveGroups
-ConvertToTableOfMarks
-IsAlgebraModuleElementFamily
-IsShortLexLessThanOrEqual
-Permutation
-ShowMethods
-Float
-SubadditiveGroup
+IsRestrictedLieObject
+IsRestrictedLieObjectCollection
+IsRightAlgebraModuleElementCollection
+IsRightModule
+IsRightOperatorAdditiveGroup
+IsRing
+IsRingElement
+IsRingElementWithInverse
+IsRingElementWithOne
+IsRingGeneralMapping
+IsRingHomomorphism
+IsRingWithOne
+IsRingWithOneGeneralMapping
+IsRingWithOneHomomorphism
+IsRowSpace
+IsRowVector
 IsSL
-TzPrintPresentation
-DeclareGlobalVariable
-DenominatorRat
-GroupHomomorphismByFunction
-Unbind
-ElementOrdersPowerMap
-UnprofileFunctions
-CodePcGroup
-InstallOtherMethod
-ResetOptionsStack
-MinimalElementCosetStabChain
-OneSM
-NewAttribute
-SolvableQuotient
-ProjectedInducedPcgs
-NormalizeWhitespace
-LLLReducedBasis
-DisplayEggBoxOfDClass
-CanEasilySortElementsFamily
-TracedCosetFpGroup
-IntermediateResultsOfSLPWithoutOverwrite
-PermCharInfoRelative
-SiftedPermutation
-Elements
-GapInputPcGroup
-NrConjugacyClassesSU
-GetFusionMap
-IsIdenticalObj
-CompatiblePairs
-DaysInYear
-SetHelpViewer
-BasicSpinRepresentationOfSymmetricGroup
-SymmetricInverseMonoid
-LowercaseString
-ProfileMethods
-MTX.IsomorphismModules
-OneOp
-IsPartialPermSemigroup
-DirectSum
-IsAlgebraModuleElementCollection
-GeneratorsOfMonoid
-PermutationsList
-IsAlgebraHomomorphism
-FreeMagma
-FullMatrixAlgebra
-ContainedDecomposables
-OnIndeterminates
-StripLineBreakCharacters
-DeclareSynonymAttr
+IsScalar
+IsSemigroup
+IsSemilatticeAsSemigroup
+IsSet
+IsShortLexLessThanOrEqual
+IsSubgroup
+IsSubmonoidFpMonoid
+IsSubsemigroupFpSemigroup
+IsSubsetBlist
+IsSymmetricInverseMonoid
+IsToPcGroupHomomorphismByImages
+IsToPermGroupHomomorphismByImages
+IsTransformationCollection
+IsTransformationMonoid
+IsTransformationSemigroup
+IsUEALatticeElementCollection
 IsUEALatticeElementFamily
-NrConjugacyClassesPGL
-SMTX.RandomIrreducibleSubGModule
-SimpleGroup
-FpLieAlgebraByCartanMatrix
-SizeNumbersPerfectGroups
-NthRootsInGroup
-IsAdditiveElementWithZero
-TryGcdCancelExtRepPolynomials
-ContinuedFractionApproximationOfRoot
-RightCosets
-thy
-TraceAllMethods
-ContainedSpecialVectors
-OneSmallGroup
-SemigroupIdealByGenerators
-StrongGeneratorsStabChain
-AntiSymmetricParts
-SMTX.MatrixSum
-ReturnTrue
-TzSubstitute
-SubnearAdditiveMagma
-IsLeftModule
-HELP_ADD_BOOK
-SQ
-AscendingChain
-Indeterminateness
-OrbitishFO
-RepresentativesMinimalBlocks
-NrConjugacyClassesPSL
-SumX
-OnLeftInverse
-PositionSet
-Lucas
-MagmaRingModuloSpanOfZero
-CharInt
-ParseRelators
-ShowArguments
-AsBinaryRelationOnPoints
-SetX
-OnSubspacesByCanonicalBasisConcatenations
-SubfieldNC
-GeneralLinearGroup
-ReeGroup
-TzPrintRelators
-ShowGcd
-IrreducibleRepresentationsDixon
+IsUnivariatePolynomial
+IsUpperAlphaChar
+IsValidIdentifier
+IsVector
+IsVectorSpace
+IsWeightRepElementCollection
+IsWeightRepElementFamily
+IsWordCollection
+IsWordWithInverse
+IsWordWithOne
+IsWritableFile
+IsZeroSquaredElementCollColl
+IsZeroSquaredElementCollection
+IsZmodpZObj
+IsZmodpZObjLarge
+IsZmodpZObjSmall
+IsomorphismFpAlgebra
+IsomorphismFpGroupByGenerators
+IsomorphismFpGroupByPcgs
+IsomorphismGroups
+IsomorphismMatrixAlgebra
+IsomorphismPermGroupImfGroup
+IsomorphismSCAlgebra
+IteratorByFunctions
+IteratorList
+IteratorOfCartesianProduct
 IteratorOfCombinations
-MolienSeriesWithGivenDenominator
-GeneratorsOfGroup
+IteratorOfPartitions
+IteratorOfTuples
+IteratorStabChain
+Jacobi
+JoinOfIdempotentPartialPermsNC
+JoinOfPartialPerms
+JoinStringsWithSeparator
+KeyDependentOperation
+KuKGenerators
+LLL
+LLLReducedBasis
+LLLReducedGramMat
+LaTeXStringDecompositionMatrix
+LargerQuotientBySubgroupAbelianization
+LargestElementStabChain
+LastSystemError
+LatticeByCyclicExtension
+LatticeSubgroupsByTom
+LaurentPolynomialByExtRep
+LaurentPolynomialByExtRepNC
+Lcm
+LcmInt
+LeftIdeal
+LeftIdealNC
+LeftModuleHomomorphismByImages
+Legendre
+LengthWPObj
+LenstraBase
+LieAlgebra
+LieAlgebraByStructureConstants
+LieCenter
+LieCoboundaryOperator
+LiftedInducedPcgs
+LiftedPcElement
+LinearActionLayer
+LinearCombinationPcgs
+LinearIndependentColumns
+LinearOperation
+LinearOperationLayer
+List
+ListBlist
+ListN
 ListOfDigits
-Parametrized
-IsRingHomomorphism
+ListPerm
+ListStabChain
+ListTransformation
+ListWithIdenticalEntries
+ListX
+LoadDynamicModule
+LoadPackage
+LogInt
+LogMod
+LogModShanks
+LogPackageLoadingMessage
+LowercaseString
+Lucas
+MTX.BasesCompositionSeries
+MTX.BasesMaximalSubmodules
+MTX.BasesMinimalSubmodules
+MTX.BasesMinimalSupermodules
+MTX.BasesSubmodules
+MTX.BasisInOrbit
+MTX.BasisModuleEndomorphisms
+MTX.BasisModuleHomomorphisms
+MTX.BasisRadical
+MTX.BasisSocle
+MTX.CollectedFactors
+MTX.CompositionFactors
+MTX.DegreeSplittingField
+MTX.Dimension
+MTX.Distinguish
+MTX.Field
+MTX.Generators
+MTX.HomogeneousComponents
+MTX.Homomorphism
+MTX.Homomorphisms
+MTX.Indecomposition
+MTX.InducedAction
+MTX.InducedActionFactorMatrix
+MTX.InducedActionFactorModule
+MTX.InducedActionMatrix
+MTX.InducedActionMatrixNB
 MTX.InducedActionSubmodule
-SetAssertionLevel
+MTX.InducedActionSubmoduleNB
+MTX.InvariantBilinearForm
+MTX.InvariantQuadraticForm
 MTX.InvariantSesquilinearForm
-CrcFile
-PageSource
-ExtendRootDirectories
-IsReadOnlyGlobal
-EI
-OrbitFusions
-IsVector
-ShowDetails
-IsomorphismFpAlgebra
-SmallGroupsInformation
-RandomBinaryRelationOnPoints
-EmptyMatrix
-EmptyString
+MTX.IsAbsolutelyIrreducible
+MTX.IsEquivalent
+MTX.IsIndecomposable
+MTX.IsIrreducible
+MTX.IsomorphismIrred
+MTX.IsomorphismModules
+MTX.ModuleAutomorphisms
+MTX.NormedBasisAndBaseChange
+MTX.OrthogonalSign
+MTX.ProperSubmoduleBasis
+MTX.SubGModule
+MTX.SubmoduleGModule
+Magma
+MagmaByMultiplicationTable
+MagmaElement
+MagmaHomomorphismByFunctionNC
+MagmaRingModuloSpanOfZero
+MagmaWithInverses
+MagmaWithInversesByMultiplicationTable
+MagmaWithOne
+MagmaWithOneByMultiplicationTable
+MakeImmutable
+MakeReadOnlyGlobal
+MakeReadWriteGlobal
+MappingByFunction
+MappingPermListList
+MatAlgebra
+MatClassMultCoeffsCharTable
+MatLieAlgebra
+MathieuGroup
+MatrixAlgebra
+MatrixLieAlgebra
 MaximalBlocks
-RootsOfUPol
-DegreeOfPartialPerm
-NamesGVars
-Cite
-IsAssocWordWithOne
-InducedAutomorphism
-CodePcgs
-\*
-RingWithOne
-WriteGapIniFile
-CosetTableFromGensAndRels
-StringTime
-AffineActionLayer
-Number
-SubmagmaWithInversesNC
-CharSInt
-EmptyBinaryRelation
-UncoverageLineByLine
-AugmentedCosetTableRrs
-WreathProductImprimitiveAction
-IsAssociativeElementCollection
-InputFromUser
-TeachingMode
-IsScalar
-SMTX.CompleteBasis
-IsFFECollCollColl
-FullMatrixModule
-IdentityMat
-LargerQuotientBySubgroupAbelianization
+Maximum
+MeetMaps
+MeetOfPartialPerms
+MinimalElementCosetStabChain
+MinimalNonmonomialGroup
+Minimum
+MinusCharacter
+MoebiusMu
+MolienSeries
+MolienSeriesWithGivenDenominator
+Monoid
+MonoidByMultiplicationTable
+MonomialExtGrlexLess
+MonomialGrevlexOrdering
+MonomialGrlexOrdering
+MonomialLexOrdering
+MorClassLoop
+MostFrequentGeneratorFpGroup
+MutableBasisOfClosureUnderAction
+MutableBasisOfIdealInNonassociativeAlgebra
+MutableBasisOfNonassociativeAlgebra
+NFNK
+NameRNam
+NamesFilter
+NamesGVars
+NamesLocalVariablesFunction
+NamesOfComponents
+NamesSystemGVars
+NamesUserGVars
+NaturalHomomorphismByNormalSubgroup
+NaturalLeqPartialPerm
+NearAdditiveGroup
+NearAdditiveMagma
+NearAdditiveMagmaWithZero
+NewAttribute
+NewCategory
+NewConstructor
+NewDictionary
+NewFamily
+NewFilter
+NewOperation
+NewProperty
+NewRepresentation
+NewType
+NewmanInfinityCriterion
+NextPrimeInt
+NiceMonomorphismAutomGroup
+NilpotentQuotientOfFpLieAlgebra
+NonnegIntScalarProducts
+NormalFormIntMat
+NormalSubgroupClasses
+NormalizeWhitespace
+NormalizedWhitespace
+NrArrangements
+NrCombinations
+NrConjugacyClassesGL
+NrConjugacyClassesGU
+NrConjugacyClassesPGL
+NrConjugacyClassesPGU
+NrConjugacyClassesPSL
+NrConjugacyClassesPSU
+NrConjugacyClassesSL
+NrConjugacyClassesSLIsogeneous
+NrConjugacyClassesSU
+NrConjugacyClassesSUIsogeneous
+NrDerangements
+NrOrderedPartitions
+NrPartitionTuples
+NrPartitions
+NrPartitionsSet
+NrPermutationsList
+NrPolyhedralSubgroups
+NrPrimitiveGroups
+NrRestrictedPartitions
+NrTransitiveGroups
+NrTuples
+NrUnorderedTuples
+NthRootsInGroup
+NullMat
 NullspaceModQ
+Number
+NumberIrreducibleSolvableGroups
+NumberPerfectGroups
 NumberPerfectLibraryGroups
-StringOfResultOfStraightLineProgram
-ShowAdditionTable
-TryNextMethod
-ListN
-EquivalenceRelationByRelation
+NumberSmallGroups
+NumberSmallRings
+NumbersString
+NumeratorRat
+OCOneCocycles
+Objectify
+ObjectifyWithAttributes
+OctaveAlgebra
+OldGeneratorsOfPresentation
+OnBreak
+OnBreakMessage
+OnIndeterminates
+OnLeftInverse
+OnLines
+OnPairs
+OnPoints
+OnQuit
+OnRight
+OnSets
 OnSetsDisjointSets
-GcdInt
-InitFusion
-Algebra
-FreeAlgebra
-IsRowVector
-IsCommutativeElementCollection
-QuaternionAlgebra
-ProfileOperationsAndMethods
-IsAdditivelyCommutativeElementCollColl
-IsCyclotomicMatrixGroup
-TzGoGo
-DeclareProperty
-Derivations
-MakeImmutable
-ReadPackage
-Decreased
-RREF
-AbelianInvariantsSubgroupFpGroupMtc
-LieCoboundaryOperator
-AsVectorSpace
-SetEntrySCTable
-ClosureGroupAddElm
-AllAutomorphisms
-CodegreeOfPartialPerm
-PROD_GF2MAT_GF2MAT_SIMPLE
-InvariantSubgroupsElementaryAbelianGroup
-List
-TwoSidedIdeal
-SubmoduleNC
-IsQuaternionCollColl
-ElementaryDivisorsMatDestructive
-ZumbroichBase
-Pager
-AlgebraHomomorphismByImages
-StoreFusion
+OnSetsSets
+OnSetsTuples
+OnSubspacesByCanonicalBasis
+OnSubspacesByCanonicalBasisConcatenations
+OnTuples
+OnTuplesSets
 OnTuplesTuples
-EndlineFunc
-NaturalHomomorphismByNormalSubgroup
-SMTX.Setter
-NK
-TypeOfDefaultGeneralMapping
-EquivalenceRelationByPairsNC
-ProjectionMap
-DisplayOptionsStack
-TzPrintGeneratorImages
-OnSets
-ZeroAttr
-IsUpperAlphaChar
+One
+OneAttr
+OneCoboundaries
+OneCocycles
+OneFactorBound
 OneIrreducibleSolvableGroup
-WeakPointerObj
-SubmagmaWithOne
-Legendre
-Sp
-UntraceImmediateMethods
-EH
-IsNaturalGLnZ
-NilpotentQuotientOfFpLieAlgebra
-MTX.IsIndecomposable
-DirectoryCurrent
-IsAlgebraWithOneHomomorphism
-InstallGlobalFunction
-AdditiveInverseAttr
-SymplecticGroup
+OneOp
+OneSM
+OneSmallGroup
+Orbit
+OrbitFusions
+OrbitLength
+OrbitPerms
+OrbitPowerMaps
+OrbitStabChain
 OrbitStabilizer
-TzInitGeneratorImages
-SubnearAdditiveMagmaWithZeroNC
-FreeAbelianGroup
-ShrinkAllocationString
-IsRing
-\+
-NextPrimeInt
-StarCyc
-NewCategory
-IsElementOfMagmaRingModuloRelationsCollection
-ReesMatrixSemigroupElement
-ActionHomomorphism
-RationalFunctionByExtRepNC
-DerivedSubgroupsTom
-GeneratorsOfSemigroup
-OnPoints
-Cycle
-EnableAttributeValueStoring
-Binomial
-PrimalityProof
-MTX.BasisModuleHomomorphisms
-WreathProductProductAction
-FpGroupPresentation
-GeneratorsOfLeftVectorSpace
-ObjectifyWithAttributes
-RandomUnimodularMat
-OldGeneratorsOfPresentation
-KuKGenerators
-Ree
-LogMod
-ProjectiveGeneralUnitaryGroup
-NrConjugacyClassesSLIsogeneous
-ValueOption
-SMTX.MinimalSubGModule
-NrConjugacyClassesSUIsogeneous
-CharacterTableWithStoredGroup
-IsAssociativeElementCollColl
-PresentationSubgroupRrs
-DeclareCategory
+OrbitishFO
+OrbitsPerms
+OrbitsishOperation
+OrderMod
+OrderOfRewritingSystem
+OrderedPartitions
+Ordinal
+OrthogonalComponents
+OrthogonalEmbeddings
+OrthogonalEmbeddingsSpecialDimension
+OutputTextNone
+OutputTextUser
+PGL
+PGU
+POmega
+PQuotient
+PROD_GF2MAT_GF2MAT_ADVANCED
+PROD_GF2MAT_GF2MAT_SIMPLE
+PSL
+PSP
+PSU
+PSp
+PackageVariablesInfo
+PadicCoefficients
+PadicExtensionNumberFamily
+PageSource
+Pager
+Parametrized
+Parent
+ParseRelators
+PartialOrderByOrderingFunction
+PartialPerm
+PartitionTuples
+Partitions
+PartitionsGreatestEQ
+PartitionsGreatestLE
+PartitionsSet
+PcElementByExponents
+PcGroupCode
+PcGroupFpGroup
+Pcgs_OrbitStabilizer
+PerfectGroup
+Perform
+PermBounds
+PermCharInfo
+PermCharInfoRelative
+PermChars
 PermComb
-NumeratorRat
-NewProperty
-RootsMod
-CallWithTimeout
-NumberIrreducibleSolvableGroups
 PermLeftQuoTransformationNC
-ReturnNothing
-ValueMolienSeries
-RestrictedPartitions
-OrbitPerms
-DMYDay
-PROD_GF2MAT_GF2MAT_ADVANCED
-IsInverseMonoid
-CharacterTableWreathSymmetric
+PermList
+PermListList
+Permutation
+PermutationCycle
+PermutationGModule
+PermutationMat
+PermutationOfImage
+PermutationsList
+PolynomialByExtRep
+PolynomialByExtRepNC
+PolynomialDivisionAlgorithm
+PolynomialModP
+PolynomialReducedRemainder
+PolynomialReduction
+PopOptions
+PositionSet
+PositionSorted
+Positions
+PowerMapByComposition
+PowerMapsAllowedBySymmetrizations
+PowerModInt
+PowerPartition
+PreImage
+PreImages
+PresentationFpGroup
+PresentationNormalClosure
+PresentationNormalClosureRrs
+PresentationSubgroup
+PresentationSubgroupMtc
+PresentationSubgroupRrs
+PresentationViaCosetTable
+PrevPrimeInt
+PrimalityProof
+PrimePowersInt
+PrimeResidues
+PrimitiveGroup
 PrimitiveGroupsIterator
-Partitions
-IteratorOfTuples
-ErrorCount
-IndeterminateNumberOfLaurentPolynomial
-TestPerm3
-LenstraBase
-TzPrint
-Unique
-IteratorOfCartesianProduct
-IsToPermGroupHomomorphismByImages
 PrimitiveRootMod
-IsLeftAlgebraModuleElementCollection
-TzSort
-DataType
-IdentityBinaryRelation
-ListWithIdenticalEntries
-Ordinal
-CollapsedMat
-ClassPositionsOfCenter
-InstallFlushableValueFromFunction
-CycleIndex
-IsFiniteOrderElementCollColl
-DixonSplit
-LaurentPolynomialByExtRepNC
-IsRightModule
-IsMatrixSpace
-HasParent
-NrConjugacyClassesPSU
+Print
+PrintAmbiguity
+PrintArray
+PrintCSV
+PrintCharacterTable
+PrintFactorsInt
+PrintTo
+ProbabilityShapes
+Product
+ProductOfStraightLinePrograms
+ProductX
+ProfileFunctions
+ProfileGlobalFunctions
+ProfileLineByLine
+ProfileMethods
+ProfileOperations
+ProfileOperationsAndMethods
+ProjectedInducedPcgs
+ProjectedPcElement
+ProjectionMap
+ProjectiveActionHomomorphismMatrixGroup
+ProjectiveActionOnFullSpace
+ProjectiveGeneralLinearGroup
+ProjectiveGeneralUnitaryGroup
+ProjectiveOmega
+ProjectiveSpecialLinearGroup
+ProjectiveSpecialUnitaryGroup
+ProjectiveSymplecticGroup
+PurePadicNumberFamily
+PushOptions
+QUIT_GAP
+Quadratic
+QuaternionAlgebra
+QuaternionGroup
+QuoInt
+QuotRemLaurpols
+QuotientFromSCTable
+QuotientPolynomialsExtRep
+RNamObj
+RREF
+RandomBinaryRelationOnPoints
+RandomInvertibleMat
+RandomIsomorphismTest
+RandomList
+RandomMat
+RandomPartialPerm
+RandomPrimitivePolynomial
+RandomUnimodularMat
+RankFilter
+RankOfPartialPerm
+RationalFunctionByExtRep
+RationalFunctionByExtRepNC
+RationalFunctionByExtRepWithCancellation
+ReadCSV
+ReadCommandLineHistory
+ReadPackage
+RealizableBrauerCharacters
+RedispatchOnCondition
+ReduceStabChain
+Ree
+ReeGroup
+ReesMatrixSemigroupElement
+ReesZeroMatrixSemigroupElement
+ReflectionMat
+RemInt
+RemoveCharacters
+RemoveFile
+RemoveRelator
+RemoveStabChain
 ReplacedString
-InstalledPackageVersion
-IsFpGroup
-CheckPermChar
-AugmentedCosetTableInWholeGroup
-EY
-IsDivisionRing
-ContainedPossibleCharacters
-GeneratorsOfVectorSpace
-IsBoundElmWPObj
-BlownUpMat
-IsZeroSquaredElementCollColl
-GeneralSemilinearGroup
-HexStringInt
-ListTransformation
-EG
-DefiningQuotientHomomorphism
-CharacterTableRegular
-EquivalenceRelationByPairs
-Stabilizer
-ApplicableMethodTypes
-DixontinI
-ConvertToBlistRep
+RepresentativeAction
+RepresentativesFusions
+RepresentativesMinimalBlocks
+RepresentativesPowerMaps
 Reread
-EmptySCTable
-LeftModuleHomomorphismByImages
-OnTuplesSets
-ProjectiveGeneralLinearGroup
-Objectify
-NrTransitiveGroups
-SmallSimpleGroup
-NormalSubgroupClasses
-MagmaWithInverses
-TzFindCyclicJoins
-UntraceAllMethods
-GeneratorsOfIdeal
-Lcm
-InverseSM
-AssignNiceMonomorphismAutomorphismGroup
-IsomorphismFpGroupByPcgs
-IsWeightRepElementFamily
-TwoSquares
-IndeterminatesOfFunctionField
-MTX.SubGModule
-IsDistributive
-ClearProfile
+RereadPackage
+ResetFilterObj
+ResetOptionsStack
+RestrictOutputsOfSLP
+RestrictedLieAlgebraByStructureConstants
+RestrictedPartitions
+RestrictedTransformation
+RestrictedTransformationNC
+ReturnFail
+ReturnFalse
+ReturnFirst
+ReturnNothing
+ReturnTrue
+Reversed
+RewriteWord
+RightCosets
+RightIdeal
+RightIdealNC
+Ring
+RingByStructureConstants
+RingHomomorphismByImages
+RingWithOne
+RootInt
+RootMod
+RootsMod
+RootsOfPolynomial
+RootsOfUPol
+RootsUnityMod
+Runtime
+Runtimes
+SIntChar
+SL
+SMTX.AbsoluteIrreducibilityTest
+SMTX.AlgEl
+SMTX.AlgElCharPol
+SMTX.AlgElCharPolFac
+SMTX.AlgElMat
+SMTX.AlgElNullspaceDimension
+SMTX.AlgElNullspaceVec
+SMTX.CentMat
+SMTX.CentMatMinPoly
+SMTX.CompleteBasis
+SMTX.Getter
+SMTX.GoodElementGModule
+SMTX.IrreducibilityTest
+SMTX.MatrixSum
+SMTX.MinimalSubGModule
+SMTX.MinimalSubGModules
+SMTX.RandomIrreducibleSubGModule
+SMTX.Setter
+SMTX.SortHomGModule
+SMTX.Subbasis
+SO
+SP
+SQ
+START_TEST
+STOP_TEST
+SU
+SameBlock
+SaveCommandLineHistory
+SaveWorkspace
+SecHMSM
+SecondsDMYhms
+Semigroup
+SemigroupByMultiplicationTable
+SemigroupIdealByGenerators
+Set
+SetAssertionLevel
+SetCrystGroupDefaultAction
+SetCyclotomicsLimit
+SetDefaultInfoOutput
+SetElmWPObj
+SetEntrySCTable
+SetFilterObj
+SetFloats
+SetGasmanMessageStatus
+SetHelpViewer
+SetInfoHandler
+SetInfoOutput
+SetNameObject
+SetPackagePath
+SetParent
+SetRecursionTrapInterval
+SetReducedMultiplication
+SetUserPreference
+SetX
+Setter
+ShortLexLeqPartialPerm
+ShortestVectors
+ShowAdditionTable
+ShowArgument
+ShowArguments
+ShowDetails
+ShowGcd
+ShowImpliedFilters
+ShowMethods
+ShowMultiplicationTable
+ShowOtherMethods
+ShowPackageVariables
+ShowUserPreferences
+ShrinkAllocationPlist
+ShrinkAllocationString
+SiftedPermutation
+SigmaL
+SignInt
+SignPartition
+SimpleGroup
+SimpleGroupsIterator
+SimpleLieAlgebra
+SimplifiedFpGroup
+SimplifyPresentation
+SimultaneousEigenvalues
+SizeBlist
 SizeConsiderFunction
-InstallFlushableValue
+SizeNumbersPerfectGroups
+SizeOfFieldOfDefinition
+SizeScreen
+SizeStabChain
+SizesCentralisers
+SizesPerfectGroups
+SmallGroup
+SmallGroupsInformation
+SmallRing
+SmallSimpleGroup
+SmallerDegreePermutationRepresentation
+SmallestRootInt
+SolvableQuotient
+SortedCharacterTable
+SortedSparseActionHomomorphism
+Sp
+SparseActionHomomorphism
+SparseHashTable
+SpecialLinearGroup
 SpecialOrthogonalGroup
-IsAlgebra
-SMTX.AlgElMat
-IsFromFpGroupHomomorphismByImages
-IsBasicWreathLessThanOrEqual
-Inverse
-MappingByFunction
-TestInducedFromNormalSubgroup
-IsBoundGlobal
-IsNearAdditiveMagmaWithInverses
-DiagonalOfMat
-GeneratorsOfAdditiveMagma
-MTX.ProperSubmoduleBasis
-RootMod
-MatrixAlgebra
-ExtendStabChain
-MeetMaps
-GcdRepresentation
-NrPartitionsSet
-MTX.IsEquivalent
-FamiliesOfRows
-IsPrimePowerInt
-IsPurePadicNumberFamily
-NewConstructor
-DeclareHandlingByNiceBasis
-SL
-Action
-RootInt
-GF
-SubdirectProducts
-FullRowSpace
-IsPartialPermMonoid
-POmega
-FullTransformationSemigroup
-DaysInMonth
-PowerMapByComposition
-NrConjugacyClassesSL
-MTX.InducedActionFactorModule
-OutputTextNone
-Cycles
-ResetFilterObj
-IsNonassocWordWithOneCollection
-ExternalOrbit
-CheckDigitUPC
-DeclareFilter
-ClassesSolvableGroup
-Blocks
+SpecialSemilinearGroup
+SpecialUnitaryGroup
+SplitCharacters
+StabChain
 StabChainBaseStrongGenerators
-AllSmallNonabelianSimpleGroups
+Stabilizer
+StabilizerPcgs
+StandardizeTable
+StarCyc
+StartlineFunc
+StartsWith
+Stirling1
+Stirling2
+StoreFusion
+StraightLineProgElm
+StraightLineProgGens
+StraightLineProgram
+StraightLineProgramNC
+StringDate
+StringFactorizationWord
+StringNumbers
+StringOfResultOfStraightLineProgram
+StringPP
+StringTime
+StripLineBreakCharacters
+StrongGeneratorsStabChain
+StructuralCopy
+SubadditiveGroup
+SubadditiveGroupNC
+SubadditiveMagma
+SubadditiveMagmaNC
+SubadditiveMagmaWithZero
+SubadditiveMagmaWithZeroNC
+Subalgebra
+SubalgebraNC
+SubalgebraWithOne
+SubalgebraWithOneNC
+SubdirectProduct
+SubdirectProducts
+Subfield
+SubfieldNC
+Subgroup
+SubgroupByProperty
+SubgroupNC
+SubgroupOfWholeGroupByCosetTable
+SubgroupOfWholeGroupByQuotientSubgroup
+SubgroupProperty
+SubgroupShell
+SubgroupsSolvableGroup
+Submagma
+SubmagmaNC
+SubmagmaWithInverses
+SubmagmaWithInversesNC
+SubmagmaWithOne
+SubmagmaWithOneNC
+Submodule
+SubmoduleNC
+Submonoid
+SubmonoidNC
+SubnearAdditiveGroup
 SubnearAdditiveGroupNC
-MTX.OrthogonalSign
-IsRingWithOneHomomorphism
-UNIXSelect
-RootsUnityMod
-PerfectGroup
-EquivalenceRelationByPartitionNC
-DownEnv
-GeneratorsOfAdditiveGroup
-RealizableBrauerCharacters
-AddRelator
-IsLeftVectorSpace
-OrderedPartitions
-IsPermGroup
-PartitionsSet
-ClassFunctionSameType
-InstallTrueMethod
-DecompositionInt
-TrivialSubgroup
-GeneratorsPrimeResidues
-IntermediateGroup
-OneCoboundaries
-EX
-PrintAmbiguity
-GeneratorsOfPresentation
-RereadPackage
-ProfileFunctions
-DivisorsInt
-Jacobi
-HenselBound
-MTX.BasisInOrbit
-START_TEST
-IndexPeriodOfTransformation
-DMYhmsSeconds
-IsAdditiveGroupHomomorphism
-MTX.CollectedFactors
-EF
-PolynomialReducedRemainder
-IsFixedStabilizer
-ChineseRem
+SubnearAdditiveMagma
+SubnearAdditiveMagmaNC
+SubnearAdditiveMagmaWithZero
+SubnearAdditiveMagmaWithZeroNC
+Subring
+SubringNC
 SubringWithOne
-FindSl2
-ContinuedFractionExpansionOfRoot
-ConsiderSmallerPowerMaps
-ShrinkAllocationPlist
-SmallGroup
-MTX.Homomorphisms
-TrivialSubalgebra
-PowerModInt
-IsRightAlgebraModuleElementCollection
-FreeAlgebraWithOne
-BlownUpVector
-IsProbablyPrimeInt
-ConsiderStructureConstants
-FusionsAllowedByRestrictions
-CycleLengths
-ConjugacyClassesByRandomSearch
-IsReductionOrdering
+SubringWithOneNC
+Subsemigroup
+SubsemigroupNC
+Subspace
+SubspaceNC
+SubtractBlist
+Sum
+SumX
+SuzukiGroup
+SymmetricGroup
+SymmetricInverseMonoid
+SymmetricParts
+SymplecticComponents
+SymplecticGroup
+Sz
+TableOfMarksByLattice
+TeachingMode
+TemporaryGlobalVarName
+TensorProductGModule
+Test
+TestConsistencyMaps
+TestDirectory
+TestHomogeneous
+TestInducedFromNormalSubgroup
+TestJacobi
+TestPackage
+TestPackageAvailability
+TestPerm1
+TestPerm2
+TestPerm3
+TestPerm4
+TestPerm5
+Tester
+TietzeWordAbstractWord
+TraceAllMethods
 TraceImmediateMethods
-NewFilter
-AsAlgebra
-QUIT_GAP
-UpdateMap
-PolynomialByExtRep
-BaseSteinitzVectors
-Orbit
-AtlasIrrationality
-MTX.CompositionFactors
-IsInjectiveListTrans
-IsRestrictedJacobianElementCollColl
-SubgroupsSolvableGroup
-AddGeneratorsExtendSchreierTree
-AbelianGroup
-IsSet
-IsCheapConwayPolynomial
-StraightLineProgramNC
-GasmanMessageStatus
-MTX.Distinguish
+TraceMethods
+TracedCosetFpGroup
+TransferDiagram
 TransitiveGroup
-CompositionMapping2General
-UniteBlist
-GeneratorsOfRightModule
-NumberSmallGroups
-SetRecursionTrapInterval
-BlowUpIsomorphism
-EquivalenceRelationByProperty
-NormalizedWhitespace
-BlistList
-IsQuaternionCollection
-IsNonassocWordWithOne
-IsSemigroup
-NrPermutationsList
-InnerAutomorphism
-LogModShanks
-IsBound\[\]
+TransposedMat
+TransposedMatAttr
+TransposedMatOp
+TrivialGroup
+TrivialIterator
+TrivialSubalgebra
+TrivialSubgroup
+TrivialSubmodule
+TrivialSubmonoid
+TrivialSubspace
+TryGcdCancelExtRepPolynomials
+TryNextMethod
+Tuples
+TwoSidedIdeal
+TwoSidedIdealNC
+TwoSquares
 TypeObj
-TestPerm1
-JoinOfPartialPerms
-\in
-IsClassFusionOfNormalSubgroup
-FactorsInt
-ConwayPolynomial
-TzSubstituteCyclicJoins
-GAP_EXIT_CODE
-OneCocycles
-IsEvenInt
-IndicesStabChain
-MTX.BasesSubmodules
-NrDerangements
-PresentationNormalClosureRrs
-ReadCommandLineHistory
-TzSearchEqual
-FreeSemigroup
-TestDirectory
-NrConjugacyClassesGU
-AlgebraWithOneHomomorphismByImages
-OnBreakMessage
-SMTX.AbsoluteIrreducibilityTest
-DiagonalizeIntMat
-\mod
-MeetOfPartialPerms
-GeneralMappingByElements
-EW
-IsPermCollColl
-PolynomialReduction
-IsFpSemigroup
-OnSubspacesByCanonicalBasis
-IntersectBlist
-GetCyclotomicsLimit
-MTX.InvariantQuadraticForm
+TypeOfDefaultGeneralMapping
+TzEliminate
+TzFindCyclicJoins
+TzGo
+TzGoGo
 TzImagesOldGens
-ProductOfStraightLinePrograms
-SymmetricParts
-IsAdditivelyCommutativeElementFamily
-EE
-HomomorphismQuotientSemigroup
-Indirected
-MTX.InducedAction
-First
-InverseMap
-PrintArray
-IsPermGroupHomomorphism
-CyclicGroup
-IsBijective
-FieldByGenerators
-ConvertToCharacterTableNC
-MoebiusMu
-CheckDigitISBN13
-RingHomomorphismByImages
-DeclareAttribute
-AllEndomorphisms
-PSP
-IsWeightRepElementCollection
-FreeAssociativeAlgebraWithOne
-IsFLMLORWithOne
-DegreeOfTransformation
-TestPackage
-SizeOfFieldOfDefinition
-CompositionOfStraightLinePrograms
-WeekDay
+TzInitGeneratorImages
+TzNewGenerator
+TzPreImagesNewGens
+TzPrint
+TzPrintGeneratorImages
+TzPrintGenerators
+TzPrintLengths
+TzPrintOptions
+TzPrintPairs
+TzPrintPresentation
+TzPrintRelators
+TzPrintStatus
+TzSearch
+TzSearchEqual
+TzSort
+TzSubstitute
+TzSubstituteCyclicJoins
+UNIXSelect
+UnInstallCharReadHookFunc
+Unbind
+UnbindElmWPObj
+UnbindGlobal
 Unbind\.
-Reversed
-ProjectiveOmega
-StartlineFunc
-SignInt
-IsLeftOperatorAdditiveGroup
-DictionaryByPosition
-IsSubsemigroupFpSemigroup
-AllIrreducibleSolvableGroups
-CompositionMaps
-DeclareSynonym
-MTX.BasesMinimalSubmodules
-CoeffsCyc
-IsMatrixGroup
-InstallHandlingByNiceBasis
-LengthWPObj
-SmallestRootInt
-NewType
-FactorGroupNormalSubgroupClasses
-SimpleGroupsIterator
-IsReesMatrixSubsemigroup
-IntScalarProducts
-Domain
-DirectoriesLibrary
-Intersection
-SubgroupProperty
-MTX.Dimension
-DisplayProfile
-CyclotomicPolynomial
-BibEntry
-StandardizeTable
+Unbind\[\]
+UncoverageLineByLine
+Union
+UnionBlist
+Unique
+UniteBlist
+UniteBlistList
+UnivariatenessTestRationalFunction
+UnloadSmallGroupsData
+UnorderedTuples
+UnprofileFunctions
+UnprofileLineByLine
+UnprofileMethods
+UntraceAllMethods
+UntraceImmediateMethods
+UntraceMethods
+UpEnv
+UpdateMap
+UserPreference
+ValidatePackageInfo
+ValueCochain
+ValueGlobal
+ValueMolienSeries
+ValueOption
+VectorSpace
+VectorSpaceByPcgsOfElementaryAbelianGroup
+View
+WeakPointerObj
+WedgeGModule
+WeekDay
+Where
+WordAlp
+WreathProductImprimitiveAction
+WreathProductProductAction
+WriteGapIniFile
+X
+Z
+Zero
+ZeroAttr
+ZeroOp
+ZeroSM
+ZmodnZ
+ZmodpZ
+ZmodpZNC
+ZumbroichBase
+\%2F
+\*
+\+
+\.
+\.\:\=
+\<
+\=
+\[\]
+\[\]\:\=
+\^
+\in
+\mod
+\{\}
+\{\}\:\=
+gap_ref_manual.xml
+thy
diff --git a/gap/getNames.sh b/gap/getNames.sh
index 13f6dfc..7e95bb1 100755
--- a/gap/getNames.sh
+++ b/gap/getNames.sh
@@ -4,4 +4,4 @@ if [[ $# -eq 0 ]] ; then
     echo "Requires json filename as argument"
     exit 1
 fi
-cat $1 | jq '[.[] | .name]' | sed 's/Setter(\(.*\))/Set\1/' | sed 's/Tester(\(.*\))/Is\1/' | sed 's/(.*)//' | sed 's/["|,| ]//g'
+cat $1 | jq '[.[] | .name]' | sed 's/Setter(\(.*\))/Set\1/' | sed 's/Tester(\(.*\))/Has\1/' | sed 's/(.*)//' | sed 's/["|,| ]//g'
diff --git a/gap/namesSys.txt b/gap/namesSys.txt
index 0272436..4cf4a61 100644
--- a/gap/namesSys.txt
+++ b/gap/namesSys.txt
@@ -6,7 +6,7 @@ IsOperation
 IsInt
 IsRat
 IsCyc
-IsCONDUCTOR
+HasCONDUCTOR
 IsFFE
 IsPerm
 IsTransformation
@@ -17,13 +17,13 @@ IsList
 IsDenseList
 IsHomogeneousList
 IsTable
-IsLENGTH
+HasLENGTH
 IsSSortedList
-IsIS_SSORT_LIST
+HasIS_SSORT_LIST
 IsNSortedList
-IsIS_NSORT_LIST
+HasIS_NSORT_LIST
 IsPositionsList
-IsIS_POSS_LIST
+HasIS_POSS_LIST
 IsPlistRep
 IsBlist
 IsBlistRep
@@ -47,58 +47,58 @@ IsFamilyOfFamilies
 IsFamilyOfTypes
 IsFamilyDefaultRep
 IsTypeDefaultRep
-IsName
-IsInfoText
-IsString
-IsIsImpossible
+HasName
+HasInfoText
+HasString
+HasIsImpossible
 IsPackedElementDefaultRep
 IsToBeDefinedObj
 IsLVarsBag
 IsListOrCollection
 IsCollection
-IsCollectionsFamily
+HasCollectionsFamily
 CategoryFamily
-IsElementsFamily
+HasElementsFamily
 IsStandardIterator
 IsIterator
 IsEmpty
-IsIsEmpty
+HasIsEmpty
 IsTrivial
-IsIsTrivial
+HasIsTrivial
 IsNonTrivial
-IsIsNonTrivial
+HasIsNonTrivial
 IsFinite
-IsIsFinite
+HasIsFinite
 IsWholeFamily
-IsIsWholeFamily
-IsSize
-IsRepresentative
-IsRepresentativeSmallest
-IsPseudoRandomSeed
-IsEnumerator
-IsEnumeratorSorted
-IsUnderlyingCollection
-IsAsList
-IsAsSortedList
-IsAsSSortedList
+HasIsWholeFamily
+HasSize
+HasRepresentative
+HasRepresentativeSmallest
+HasPseudoRandomSeed
+HasEnumerator
+HasEnumeratorSorted
+HasUnderlyingCollection
+HasAsList
+HasAsSortedList
+HasAsSSortedList
 CanEasilyCompareElements
-IsCanEasilyCompareElements
+HasCanEasilyCompareElements
 CanEasilySortElements
-IsCanEasilySortElements
+HasCanEasilySortElements
 CanComputeSize
-IsRandomizerAttr
-IsCheapRandomizerAttr
+HasRandomizerAttr
+HasCheapRandomizerAttr
 IsConstantTimeAccessList
 IsSmallList
-IsIsSmallList
-IsConstantTimeAccessList
+HasIsSmallList
+HasConstantTimeAccessList
 IsSortedList
-IsIsSortedList
+HasIsSortedList
 IsDuplicateFree
-IsIsDuplicateFree
+HasIsDuplicateFree
 IsQuickPositionList
-IsAsDuplicateFreeList
-IsSortingPerm
+HasAsDuplicateFreeList
+HasSortingPerm
 IsExtAElement
 CategoryCollections
 CategoryCollections
@@ -140,8 +140,8 @@ IsOddAdditiveNestingDepthFamily
 IsOddAdditiveNestingDepthObject
 IsGeneralizedRowVector
 IsMultiplicativeGeneralizedRowVector
-IsNestingDepthA
-IsNestingDepthM
+HasNestingDepthA
+HasNestingDepthM
 CategoryFamily
 CategoryFamily
 IsZDFRE
@@ -174,42 +174,42 @@ IsZeroSquaredElement
 CategoryCollections
 CategoryCollections
 IsZero
-IsIsZero
+HasIsZero
 IsOne
-IsIsOne
-IsZeroImmutable
-IsAdditiveInverseImmutable
-IsOneImmutable
-IsInverseImmutable
-IsInt
-IsRat
-IsCharacteristic
-IsOrder
-IsNormedRowVector
+HasIsOne
+HasZeroImmutable
+HasAdditiveInverseImmutable
+HasOneImmutable
+HasInverseImmutable
+HasInt
+HasRat
+HasCharacteristic
+HasOrder
+HasNormedRowVector
 IsCommutativeFamily
-IsIsCommutativeFamily
+HasIsCommutativeFamily
 IsSkewFieldFamily
-IsIsSkewFieldFamily
+HasIsSkewFieldFamily
 IsUFDFamily
-IsIsUFDFamily
+HasIsUFDFamily
 IsAdditiveElementAsMultiplicativeElementRep
-IsAdditiveElementsAsMultiplicativeElementsFamily
-IsAdditiveElementAsMultiplicativeElement
+HasAdditiveElementsAsMultiplicativeElementsFamily
+HasAdditiveElementAsMultiplicativeElement
 IsIdempotent
-IsIsIdempotent
+HasIsIdempotent
 CategoryCollections
 CategoryCollections
 CategoryCollections
 IsLexOrderedFFE
 IsLogOrderedFFE
 CategoryFamily
-IsDegreeFFE
-IsIntFFE
-IsIntFFESymm
-IsAsInternalFFE
+HasDegreeFFE
+HasIntFFE
+HasIntFFESymm
+HasAsInternalFFE
 IsGeneralizedDomain
-IsGeneratorsOfDomain
-IsParentAttr
+HasGeneratorsOfDomain
+HasParentAttr
 IsChar
 CategoryCollections
 IsCyclotomic
@@ -223,24 +223,24 @@ IsSmallIntRep
 IsInfinity
 IsNegInfinity
 IsIntegralCyclotomic
-IsIsIntegralCyclotomic
+HasIsIntegralCyclotomic
 CategoryCollections
 CategoryCollections
-IsRecNames
+HasRecNames
 IsEnumeratorByFunctionsRep
 IsIteratorByFunctionsRep
 IsListDefault
 IsRectangularTable
-IsIsRectangularTable
+HasIsRectangularTable
 CategoryCollections
 CategoryCollections
-IsSmallestGeneratorPerm
-IsSmallestMovedPoint
-IsLargestMovedPoint
-IsNrMovedPoints
-IsMovedPoints
-IsSignPerm
-IsCycleStructurePerm
+HasSmallestGeneratorPerm
+HasSmallestMovedPoint
+HasLargestMovedPoint
+HasNrMovedPoints
+HasMovedPoints
+HasSignPerm
+HasCycleStructurePerm
 IsPerm2Rep
 IsPerm4Rep
 CategoryCollections
@@ -286,61 +286,61 @@ IsComplexFloatInterval
 CategoryFamily
 CategoryCollections
 CategoryCollections
-IsCos
-IsSin
-IsTan
-IsSec
-IsCsc
-IsCot
-IsAsin
-IsAcos
-IsAtan
-IsCosh
-IsSinh
-IsTanh
-IsSech
-IsCsch
-IsCoth
-IsAsinh
-IsAcosh
-IsAtanh
-IsLog2
-IsLog10
-IsLog1p
-IsExp
-IsExp2
-IsExp10
-IsExpm1
-IsCubeRoot
-IsSquare
-IsCeil
-IsFloor
-IsRound
-IsTrunc
-IsFrExp
-IsArgument
-IsAbsoluteValue
-IsFrac
-IsSinCos
-IsErf
-IsZeta
-IsGamma
-IsComplexI
-IsPrecisionFloat
-IsSignFloat
-IsSup
-IsInf
-IsMid
-IsAbsoluteDiameter
-IsRelativeDiameter
+HasCos
+HasSin
+HasTan
+HasSec
+HasCsc
+HasCot
+HasAsin
+HasAcos
+HasAtan
+HasCosh
+HasSinh
+HasTanh
+HasSech
+HasCsch
+HasCoth
+HasAsinh
+HasAcosh
+HasAtanh
+HasLog2
+HasLog10
+HasLog1p
+HasExp
+HasExp2
+HasExp10
+HasExpm1
+HasCubeRoot
+HasSquare
+HasCeil
+HasFloor
+HasRound
+HasTrunc
+HasFrExp
+HasArgument
+HasAbsoluteValue
+HasFrac
+HasSinCos
+HasErf
+HasZeta
+HasGamma
+HasComplexI
+HasPrecisionFloat
+HasSignFloat
+HasSup
+HasInf
+HasMid
+HasAbsoluteDiameter
+HasRelativeDiameter
 IsPInfinity
-IsIsPInfinity
+HasIsPInfinity
 IsNInfinity
-IsIsNInfinity
+HasIsNInfinity
 IsXInfinity
-IsIsXInfinity
+HasIsXInfinity
 IsNaN
-IsIsNaN
+HasIsNaN
 IsIEEE754FloatRep
 IsDirectoryRep
 IsInputTextFileRep
@@ -352,15 +352,15 @@ IsInputOutputStreamByPtyRep
 IsDirectProductElement
 CategoryFamily
 CategoryCollections
-IsComponentsOfDirectProductElementsFamily
+HasComponentsOfDirectProductElementsFamily
 IsDefaultDirectProductElementRep
-IsEmptyRowVector
+HasEmptyRowVector
 IsExtASet
 IsAssociativeAOpDSum
 IsAssociativeAOpESum
 IsTrivialAOpEZero
-IsGeneratorsOfExtASet
-IsAdditivelyActingDomain
+HasGeneratorsOfExtASet
+HasAdditivelyActingDomain
 IsExtLSet
 IsAssociativeLOpDProd
 IsAssociativeLOpEProd
@@ -372,10 +372,10 @@ IsTrivialLOpEOne
 IsTrivialLOpEZero
 IsLeftActedOnByRing
 IsLeftActedOnByDivisionRing
-IsIsLeftActedOnByDivisionRing
+HasIsLeftActedOnByDivisionRing
 IsLeftActedOnBySuperset
-IsGeneratorsOfExtLSet
-IsLeftActingDomain
+HasGeneratorsOfExtLSet
+HasLeftActingDomain
 IsExtRSet
 IsAssociativeROpDProd
 IsAssociativeROpEProd
@@ -388,8 +388,8 @@ IsTrivialROpEZero
 IsRightActedOnByRing
 IsRightActedOnByDivisionRing
 IsRightActedOnBySuperset
-IsGeneratorsOfExtRSet
-IsRightActingDomain
+HasGeneratorsOfExtRSet
+HasRightActingDomain
 IsExtUSet
 IsAssociativeUOpDProd
 IsAssociativeUOpEProd
@@ -401,8 +401,8 @@ IsTrivialUOpEOne
 IsTrivialUOpEZero
 IsUpperActedOnByGroup
 IsUpperActedOnBySuperset
-IsGeneratorsOfExtUSet
-IsUpperActingDomain
+HasGeneratorsOfExtUSet
+HasUpperActingDomain
 IsDictionary
 IsLookupDictionary
 IsHash
@@ -421,487 +421,487 @@ IsSPGeneralMapping
 IsNonSPGeneralMapping
 CategoryCollections
 CategoryFamily
-IsFamilyRange
-IsFamilySource
-IsFamiliesOfGeneralMappingsAndRanges
+HasFamilyRange
+HasFamilySource
+HasFamiliesOfGeneralMappingsAndRanges
 IsConstantTimeAccessGeneralMapping
-IsIsConstantTimeAccessGeneralMapping
+HasIsConstantTimeAccessGeneralMapping
 IsEndoGeneralMapping
-IsIsEndoGeneralMapping
+HasIsEndoGeneralMapping
 IsTotal
-IsIsTotal
+HasIsTotal
 IsSingleValued
-IsIsSingleValued
+HasIsSingleValued
 IsInjective
-IsIsInjective
+HasIsInjective
 IsSurjective
-IsIsSurjective
-IsRange
-IsSource
-IsUnderlyingRelation
-IsUnderlyingGeneralMapping
-IsIdentityMapping
-IsInverseGeneralMapping
-IsImagesSource
-IsPreImagesRange
+HasIsSurjective
+HasRange
+HasSource
+HasUnderlyingRelation
+HasUnderlyingGeneralMapping
+HasIdentityMapping
+HasInverseGeneralMapping
+HasImagesSource
+HasPreImagesRange
 IsCompositionMappingRep
 IsGeneralRestrictedMappingRep
-IsMappingGeneratorsImages
+HasMappingGeneratorsImages
 RespectsMultiplication
-IsRespectsMultiplication
+HasRespectsMultiplication
 RespectsOne
-IsRespectsOne
+HasRespectsOne
 RespectsInverses
-IsRespectsInverses
-IsKernelOfMultiplicativeGeneralMapping
-IsCoKernelOfMultiplicativeGeneralMapping
+HasRespectsInverses
+HasKernelOfMultiplicativeGeneralMapping
+HasCoKernelOfMultiplicativeGeneralMapping
 RespectsAddition
-IsRespectsAddition
+HasRespectsAddition
 RespectsZero
-IsRespectsZero
+HasRespectsZero
 RespectsAdditiveInverses
-IsRespectsAdditiveInverses
-IsKernelOfAdditiveGeneralMapping
-IsCoKernelOfAdditiveGeneralMapping
+HasRespectsAdditiveInverses
+HasKernelOfAdditiveGeneralMapping
+HasCoKernelOfAdditiveGeneralMapping
 RespectsScalarMultiplication
-IsRespectsScalarMultiplication
+HasRespectsScalarMultiplication
 IsFieldHomomorphism
-IsIsFieldHomomorphism
+HasIsFieldHomomorphism
 TransformsMultiplicationIntoAddition
-IsTransformsMultiplicationIntoAddition
+HasTransformsMultiplicationIntoAddition
 TranformsOneIntoZero
-IsTranformsOneIntoZero
+HasTranformsOneIntoZero
 TransformsInversesIntoAdditiveInverses
-IsTransformsInversesIntoAdditiveInverses
+HasTransformsInversesIntoAdditiveInverses
 TransformsAdditionIntoMultiplication
-IsTransformsAdditionIntoMultiplication
+HasTransformsAdditionIntoMultiplication
 TransformsZeroIntoOne
-IsTransformsZeroIntoOne
+HasTransformsZeroIntoOne
 TransformsAdditiveInversesIntoInverses
-IsTransformsAdditiveInversesIntoInverses
-IsSuccessors
-IsDegreeOfBinaryRelation
+HasTransformsAdditiveInversesIntoInverses
+HasSuccessors
+HasDegreeOfBinaryRelation
 IsReflexiveBinaryRelation
-IsIsReflexiveBinaryRelation
+HasIsReflexiveBinaryRelation
 IsSymmetricBinaryRelation
-IsIsSymmetricBinaryRelation
+HasIsSymmetricBinaryRelation
 IsTransitiveBinaryRelation
-IsIsTransitiveBinaryRelation
+HasIsTransitiveBinaryRelation
 IsAntisymmetricBinaryRelation
-IsIsAntisymmetricBinaryRelation
+HasIsAntisymmetricBinaryRelation
 IsPreOrderBinaryRelation
-IsIsPreOrderBinaryRelation
+HasIsPreOrderBinaryRelation
 IsPartialOrderBinaryRelation
-IsIsPartialOrderBinaryRelation
+HasIsPartialOrderBinaryRelation
 IsLatticeOrderBinaryRelation
-IsIsLatticeOrderBinaryRelation
+HasIsLatticeOrderBinaryRelation
 IsEquivalenceRelation
-IsIsEquivalenceRelation
+HasIsEquivalenceRelation
 IsHasseDiagram
-IsIsHasseDiagram
-IsPartialOrderOfHasseDiagram
-IsEquivalenceRelationPartition
-IsGeneratorsOfEquivalenceRelationPartition
+HasIsHasseDiagram
+HasPartialOrderOfHasseDiagram
+HasEquivalenceRelationPartition
+HasGeneratorsOfEquivalenceRelationPartition
 IsEquivalenceClass
-IsEquivalenceClassRelation
-IsEquivalenceClasses
+HasEquivalenceClassRelation
+HasEquivalenceClasses
 IsMagma
 IsMagmaWithOne
 IsMagmaWithInversesIfNonzero
 IsMagmaWithInverses
-IsAsMagma
-IsGeneratorsOfMagma
-IsGeneratorsOfMagmaWithOne
-IsGeneratorsOfMagmaWithInverses
+HasAsMagma
+HasGeneratorsOfMagma
+HasGeneratorsOfMagmaWithOne
+HasGeneratorsOfMagmaWithInverses
 IsGeneratorsOfMagmaWithInverses
-IsIsGeneratorsOfMagmaWithInverses
-IsTrivialSubmagmaWithOne
+HasIsGeneratorsOfMagmaWithInverses
+HasTrivialSubmagmaWithOne
 IsAssociative
-IsIsAssociative
+HasIsAssociative
 IsCommutative
-IsIsCommutative
-IsMultiplicativeNeutralElement
-IsCentre
-IsIdempotents
-IsCentralizerInParent
-IsMagmaGeneratorsOfFamily
-IsGeneratorsOfMagmaIdeal
+HasIsCommutative
+HasMultiplicativeNeutralElement
+HasCentre
+HasIdempotents
+HasCentralizerInParent
+HasMagmaGeneratorsOfFamily
+HasGeneratorsOfMagmaIdeal
 IsMultiplicativeElementWithZero
 CategoryCollections
-IsMultiplicativeZero
+HasMultiplicativeZero
 IsMagmaWithZeroAdjoinedElementRep
 IsMagmaWithZeroAdjoined
-IsInjectionZeroMagma
-IsMagmaWithZeroAdjoined
-IsUnderlyingInjectionZeroMagma
+HasInjectionZeroMagma
+HasMagmaWithZeroAdjoined
+HasUnderlyingInjectionZeroMagma
 IsLeftMagmaCongruence
-IsGeneratingPairsOfLeftMagmaCongruence
-IsPartialClosureOfCongruence
+HasGeneratingPairsOfLeftMagmaCongruence
+HasPartialClosureOfCongruence
 IsRightMagmaCongruence
-IsGeneratingPairsOfRightMagmaCongruence
+HasGeneratingPairsOfRightMagmaCongruence
 IsMagmaCongruence
-IsGeneratingPairsOfMagmaCongruence
+HasGeneratingPairsOfMagmaCongruence
 IsCongruenceClass
 IsLeftSemigroupCongruence
-IsIsLeftSemigroupCongruence
+HasIsLeftSemigroupCongruence
 IsRightSemigroupCongruence
-IsIsRightSemigroupCongruence
+HasIsRightSemigroupCongruence
 IsSemigroupCongruence
-IsIsSemigroupCongruence
+HasIsSemigroupCongruence
 IsReesCongruence
-IsIsReesCongruence
-IsAsSemigroup
+HasIsReesCongruence
+HasAsSemigroup
 IsGeneratorsOfSemigroup
-IsIsGeneratorsOfSemigroup
-IsCayleyGraphSemigroup
-IsCayleyGraphDualSemigroup
+HasIsGeneratorsOfSemigroup
+HasCayleyGraphSemigroup
+HasCayleyGraphDualSemigroup
 IsZeroGroup
-IsIsZeroGroup
+HasIsZeroGroup
 IsSimpleSemigroup
-IsIsSimpleSemigroup
+HasIsSimpleSemigroup
 IsZeroSimpleSemigroup
-IsIsZeroSimpleSemigroup
-IsANonReesCongruenceOfSemigroup
+HasIsZeroSimpleSemigroup
+HasANonReesCongruenceOfSemigroup
 IsReesCongruenceSemigroup
-IsIsReesCongruenceSemigroup
+HasIsReesCongruenceSemigroup
 IsRegularSemigroup
-IsIsRegularSemigroup
+HasIsRegularSemigroup
 IsInverseSemigroup
-IsIsInverseSemigroup
-IsNilpotencyDegree
+HasIsInverseSemigroup
+HasNilpotencyDegree
 IsBand
-IsIsBand
+HasIsBand
 IsBrandtSemigroup
-IsIsBrandtSemigroup
+HasIsBrandtSemigroup
 IsCliffordSemigroup
-IsIsCliffordSemigroup
+HasIsCliffordSemigroup
 IsCommutativeSemigroup
-IsIsCommutativeSemigroup
+HasIsCommutativeSemigroup
 IsCompletelyRegularSemigroup
-IsIsCompletelyRegularSemigroup
+HasIsCompletelyRegularSemigroup
 IsCompletelySimpleSemigroup
-IsIsCompletelySimpleSemigroup
+HasIsCompletelySimpleSemigroup
 IsGroupAsSemigroup
-IsIsGroupAsSemigroup
+HasIsGroupAsSemigroup
 IsIdempotentGenerated
-IsIsIdempotentGenerated
+HasIsIdempotentGenerated
 IsLeftZeroSemigroup
-IsIsLeftZeroSemigroup
+HasIsLeftZeroSemigroup
 IsMonogenicSemigroup
-IsIsMonogenicSemigroup
+HasIsMonogenicSemigroup
 IsMonoidAsSemigroup
-IsIsMonoidAsSemigroup
+HasIsMonoidAsSemigroup
 IsNilpotentSemigroup
-IsIsNilpotentSemigroup
+HasIsNilpotentSemigroup
 IsOrthodoxSemigroup
-IsIsOrthodoxSemigroup
+HasIsOrthodoxSemigroup
 IsRectangularBand
-IsIsRectangularBand
+HasIsRectangularBand
 IsRightZeroSemigroup
-IsIsRightZeroSemigroup
+HasIsRightZeroSemigroup
 IsSemiband
-IsIsSemiband
+HasIsSemiband
 IsSemilattice
-IsIsSemilattice
+HasIsSemilattice
 IsZeroSemigroup
-IsIsZeroSemigroup
+HasIsZeroSemigroup
 IsLeftSemigroupIdeal
-IsIsLeftSemigroupIdeal
+HasIsLeftSemigroupIdeal
 IsRightSemigroupIdeal
-IsIsRightSemigroupIdeal
+HasIsRightSemigroupIdeal
 IsSemigroupIdeal
-IsIsSemigroupIdeal
-IsReesCongruenceOfSemigroupIdeal
-IsAsMonoid
+HasIsSemigroupIdeal
+HasReesCongruenceOfSemigroupIdeal
+HasAsMonoid
 IsCyclic
-IsIsCyclic
+HasIsCyclic
 IsElementaryAbelian
-IsIsElementaryAbelian
+HasIsElementaryAbelian
 IsFinitelyGeneratedGroup
-IsIsFinitelyGeneratedGroup
+HasIsFinitelyGeneratedGroup
 IsSubsetLocallyFiniteGroup
-IsIsSubsetLocallyFiniteGroup
+HasIsSubsetLocallyFiniteGroup
 CanEasilyTestMembership
 CanEasilyComputeWithIndependentGensAbelianGroup
 CanComputeSizeAnySubgroup
 KnowsHowToDecompose
-IsKnowsHowToDecompose
+HasKnowsHowToDecompose
 IsPGroup
-IsIsPGroup
-IsPrimePGroup
-IsPClassPGroup
-IsRankPGroup
+HasIsPGroup
+HasPrimePGroup
+HasPClassPGroup
+HasRankPGroup
 IsNilpotentGroup
-IsIsNilpotentGroup
+HasIsNilpotentGroup
 IsPerfectGroup
-IsIsPerfectGroup
+HasIsPerfectGroup
 IsSporadicSimpleGroup
-IsIsSporadicSimpleGroup
+HasIsSporadicSimpleGroup
 IsSimpleGroup
-IsIsSimpleGroup
+HasIsSimpleGroup
 IsAlmostSimpleGroup
-IsIsAlmostSimpleGroup
+HasIsAlmostSimpleGroup
 IsSupersolvableGroup
-IsIsSupersolvableGroup
+HasIsSupersolvableGroup
 IsMonomialGroup
-IsIsMonomialGroup
+HasIsMonomialGroup
 IsSolvableGroup
-IsIsSolvableGroup
+HasIsSolvableGroup
 IsPolycyclicGroup
-IsIsPolycyclicGroup
-IsAbelianInvariants
-IsIsInfiniteAbelianizationGroup
-IsAsGroup
-IsChiefSeries
-IsCommutatorFactorGroup
-IsCompositionSeries
-IsConjugacyClasses
-IsConjugacyClassesMaximalSubgroups
-IsMaximalSubgroups
-IsMaximalSubgroupClassReps
-IsPerfectResiduum
-IsRepresentativesPerfectSubgroups
-IsRepresentativesSimpleSubgroups
-IsConjugacyClassesPerfectSubgroups
-IsConjugacyClassesSubgroups
-IsLatticeSubgroups
-IsDerivedLength
-IsHirschLength
-IsDerivedSeriesOfGroup
-IsDerivedSubgroup
-IsMaximalAbelianQuotient
-IsCommutatorLength
-IsDimensionsLoewyFactors
-IsElementaryAbelianSeries
-IsElementaryAbelianSeriesLargeSteps
-IsExponent
-IsFittingSubgroup
-IsPrefrattiniSubgroup
-IsFrattiniSubgroup
-IsInvariantForm
-IsJenningsSeries
-IsLowerCentralSeriesOfGroup
-IsNilpotencyClassOfGroup
-IsMaximalNormalSubgroups
-IsNormalMaximalSubgroups
-IsMinimalNormalSubgroups
-IsNormalSubgroups
-IsNrConjugacyClasses
-IsComputedOmegas
-IsComputedAgemos
-IsRadicalGroup
-IsRationalClasses
-IsGeneratorsSmallest
-IsLargestElementGroup
-IsMinimalGeneratingSet
-IsSmallGeneratingSet
-IsSupersolvableResiduum
-IsComplementSystem
-IsSylowSystem
-IsHallSystem
-IsSocle
-IsUpperCentralSeriesOfGroup
-IsCoreInParent
-IsIndexInParent
-IsIndexInWholeGroup
-IsIndependentGeneratorsOfAbelianGroup
+HasIsPolycyclicGroup
+HasAbelianInvariants
+HasIsInfiniteAbelianizationGroup
+HasAsGroup
+HasChiefSeries
+HasCommutatorFactorGroup
+HasCompositionSeries
+HasConjugacyClasses
+HasConjugacyClassesMaximalSubgroups
+HasMaximalSubgroups
+HasMaximalSubgroupClassReps
+HasPerfectResiduum
+HasRepresentativesPerfectSubgroups
+HasRepresentativesSimpleSubgroups
+HasConjugacyClassesPerfectSubgroups
+HasConjugacyClassesSubgroups
+HasLatticeSubgroups
+HasDerivedLength
+HasHirschLength
+HasDerivedSeriesOfGroup
+HasDerivedSubgroup
+HasMaximalAbelianQuotient
+HasCommutatorLength
+HasDimensionsLoewyFactors
+HasElementaryAbelianSeries
+HasElementaryAbelianSeriesLargeSteps
+HasExponent
+HasFittingSubgroup
+HasPrefrattiniSubgroup
+HasFrattiniSubgroup
+HasInvariantForm
+HasJenningsSeries
+HasLowerCentralSeriesOfGroup
+HasNilpotencyClassOfGroup
+HasMaximalNormalSubgroups
+HasNormalMaximalSubgroups
+HasMinimalNormalSubgroups
+HasNormalSubgroups
+HasNrConjugacyClasses
+HasComputedOmegas
+HasComputedAgemos
+HasRadicalGroup
+HasRationalClasses
+HasGeneratorsSmallest
+HasLargestElementGroup
+HasMinimalGeneratingSet
+HasSmallGeneratingSet
+HasSupersolvableResiduum
+HasComplementSystem
+HasSylowSystem
+HasHallSystem
+HasSocle
+HasUpperCentralSeriesOfGroup
+HasCoreInParent
+HasIndexInParent
+HasIndexInWholeGroup
+HasIndependentGeneratorsOfAbelianGroup
 IsNormalInParent
-IsIsNormalInParent
-IsComputedIsPNilpotents
-IsComputedIsPSolvables
-IsNormalClosureInParent
-IsNormalizerInParent
-IsComputedPCentralSeriess
-IsComputedPRumps
-IsComputedPCores
-IsSubnormalSeriesInParent
-IsComputedSylowSubgroups
-IsComputedSylowComplements
-IsComputedHallSubgroups
-IsNormalHallSubgroups
-IsGrowthFunctionOfGroup
-IsElementTestFunction
+HasIsNormalInParent
+HasComputedIsPNilpotents
+HasComputedIsPSolvables
+HasNormalClosureInParent
+HasNormalizerInParent
+HasComputedPCentralSeriess
+HasComputedPRumps
+HasComputedPCores
+HasSubnormalSeriesInParent
+HasComputedSylowSubgroups
+HasComputedSylowComplements
+HasComputedHallSubgroups
+HasNormalHallSubgroups
+HasGrowthFunctionOfGroup
+HasElementTestFunction
 IsRightTransversal
 CategoryCollections
-IsRightTransversalInParent
-IsIsomorphismTypeInfoFiniteSimpleGroup
-IsIsomorphismPcGroup
-IsIsomorphismSpecialPcGroup
-IsIsomorphismPermGroup
-IsIsomorphismFpGroup
-IsPrimePowerComponents
+HasRightTransversalInParent
+HasIsomorphismTypeInfoFiniteSimpleGroup
+HasIsomorphismPcGroup
+HasIsomorphismSpecialPcGroup
+HasIsomorphismPermGroup
+HasIsomorphismFpGroup
+HasPrimePowerComponents
 IsGroupOfFamily
 IsGeneratorsOfInverseSemigroup
-IsIsGeneratorsOfInverseSemigroup
-IsGeneratorsOfInverseMonoid
-IsGeneratorsOfInverseSemigroup
-IsAsInverseSemigroup
-IsAsInverseMonoid
-IsReverseNaturalPartialOrder
-IsNaturalPartialOrder
+HasIsGeneratorsOfInverseSemigroup
+HasGeneratorsOfInverseMonoid
+HasGeneratorsOfInverseSemigroup
+HasAsInverseSemigroup
+HasAsInverseMonoid
+HasReverseNaturalPartialOrder
+HasNaturalPartialOrder
 IsNearAdditiveMagma
 IsNearAdditiveMagmaWithZero
 IsNearAdditiveGroup
 IsAdditivelyCommutative
-IsIsAdditivelyCommutative
-IsGeneratorsOfNearAdditiveMagma
-IsGeneratorsOfNearAdditiveMagmaWithZero
-IsGeneratorsOfNearAdditiveGroup
-IsTrivialSubnearAdditiveMagmaWithZero
-IsAdditiveNeutralElement
+HasIsAdditivelyCommutative
+HasGeneratorsOfNearAdditiveMagma
+HasGeneratorsOfNearAdditiveMagmaWithZero
+HasGeneratorsOfNearAdditiveGroup
+HasTrivialSubnearAdditiveMagmaWithZero
+HasAdditiveNeutralElement
 IsAdditiveCoset
 IsLDistributive
-IsIsLDistributive
+HasIsLDistributive
 IsRDistributive
-IsIsRDistributive
-IsGeneratorsOfSemiring
-IsGeneratorsOfSemiringWithOne
-IsGeneratorsOfSemiringWithZero
-IsGeneratorsOfSemiringWithOneAndZero
-IsAsSemiring
-IsAsSemiringWithOne
-IsAsSemiringWithZero
-IsAsSemiringWithOneAndZero
-IsCentralIdempotentsOfSemiring
-IsAsNearRing
-IsAsRing
-IsGeneratorsOfRing
-IsGeneratorsOfRingWithOne
+HasIsRDistributive
+HasGeneratorsOfSemiring
+HasGeneratorsOfSemiringWithOne
+HasGeneratorsOfSemiringWithZero
+HasGeneratorsOfSemiringWithOneAndZero
+HasAsSemiring
+HasAsSemiringWithOne
+HasAsSemiringWithZero
+HasAsSemiringWithOneAndZero
+HasCentralIdempotentsOfSemiring
+HasAsNearRing
+HasAsRing
+HasGeneratorsOfRing
+HasGeneratorsOfRingWithOne
 IsUniqueFactorizationRing
 IsEuclideanRing
 IsAnticommutative
-IsIsAnticommutative
+HasIsAnticommutative
 IsIntegralRing
-IsIsIntegralRing
+HasIsIntegralRing
 IsJacobianRing
-IsIsJacobianRing
+HasIsJacobianRing
 IsZeroSquaredRing
-IsIsZeroSquaredRing
+HasIsZeroSquaredRing
 IsZeroMultiplicationRing
-IsIsZeroMultiplicationRing
-IsUnits
+HasIsZeroMultiplicationRing
+HasUnits
 IsGeneralizedCartanMatrix
-IsIsGeneralizedCartanMatrix
-IsBaseMat
-IsBaseOrthogonalSpaceMat
-IsDefaultFieldOfMatrix
-IsDepthOfUpperTriangularMatrix
-IsDeterminantMat
-IsDimensionsMat
-IsNullspaceMat
-IsTriangulizedNullspaceMat
-IsProjectiveOrder
-IsRankMat
-IsSemiEchelonMat
-IsSemiEchelonMatTransformation
-IsTransposedMatImmutable
+HasIsGeneralizedCartanMatrix
+HasBaseMat
+HasBaseOrthogonalSpaceMat
+HasDefaultFieldOfMatrix
+HasDepthOfUpperTriangularMatrix
+HasDeterminantMat
+HasDimensionsMat
+HasNullspaceMat
+HasTriangulizedNullspaceMat
+HasProjectiveOrder
+HasRankMat
+HasSemiEchelonMat
+HasSemiEchelonMatTransformation
+HasTransposedMatImmutable
 IsMonomialMatrix
-IsIsMonomialMatrix
-IsJordanDecomposition
-IsCharacteristicPolynomial
-IsBaseIntMat
-IsNullspaceIntMat
-IsAbelianInvariantsOfList
-IsMatrixByBlockMatrix
+HasIsMonomialMatrix
+HasJordanDecomposition
+HasCharacteristicPolynomial
+HasBaseIntMat
+HasNullspaceIntMat
+HasAbelianInvariantsOfList
+HasMatrixByBlockMatrix
 IsTwoSidedIdealInParent
-IsIsTwoSidedIdealInParent
+HasIsTwoSidedIdealInParent
 IsLeftIdealInParent
-IsIsLeftIdealInParent
+HasIsLeftIdealInParent
 IsRightIdealInParent
-IsIsRightIdealInParent
-IsGeneratorsOfTwoSidedIdeal
-IsGeneratorsOfLeftIdeal
-IsGeneratorsOfRightIdeal
-IsLeftActingRingOfIdeal
-IsRightActingRingOfIdeal
+HasIsRightIdealInParent
+HasGeneratorsOfTwoSidedIdeal
+HasGeneratorsOfLeftIdeal
+HasGeneratorsOfRightIdeal
+HasLeftActingRingOfIdeal
+HasRightActingRingOfIdeal
 IsFreeLeftModule
 IsFiniteDimensional
-IsIsFiniteDimensional
+HasIsFiniteDimensional
 IsFullRowModule
-IsIsFullRowModule
+HasIsFullRowModule
 IsFullMatrixModule
-IsIsFullMatrixModule
+HasIsFullMatrixModule
 IsHandledByNiceBasis
-IsDimension
-IsGeneratorsOfLeftOperatorAdditiveGroup
-IsGeneratorsOfRightOperatorAdditiveGroup
+HasDimension
+HasGeneratorsOfLeftOperatorAdditiveGroup
+HasGeneratorsOfRightOperatorAdditiveGroup
 IsRowModule
-IsIsRowModule
+HasIsRowModule
 IsMatrixModule
-IsIsMatrixModule
-IsDimensionOfVectors
+HasIsMatrixModule
+HasDimensionOfVectors
 IsBasis
 IsCanonicalBasis
-IsIsCanonicalBasis
+HasIsCanonicalBasis
 IsCanonicalBasisFullRowModule
-IsIsCanonicalBasisFullRowModule
+HasIsCanonicalBasisFullRowModule
 IsCanonicalBasisFullMatrixModule
-IsIsCanonicalBasisFullMatrixModule
+HasIsCanonicalBasisFullMatrixModule
 IsIntegralBasis
-IsIsIntegralBasis
+HasIsIntegralBasis
 IsNormalBasis
-IsIsNormalBasis
+HasIsNormalBasis
 IsSemiEchelonized
-IsIsSemiEchelonized
-IsBasisVectors
-IsEnumeratorByBasis
-IsStructureConstantsTable
-IsUnderlyingLeftModule
-IsBasis
-IsSemiEchelonBasis
+HasIsSemiEchelonized
+HasBasisVectors
+HasEnumeratorByBasis
+HasStructureConstantsTable
+HasUnderlyingLeftModule
+HasBasis
+HasSemiEchelonBasis
 IsGenericFiniteSpace
 IsSpaceOfRationalFunctions
 IsBasisByNiceBasis
-IsNiceBasis
-IsNiceFreeLeftModule
-IsNiceFreeLeftModuleInfo
+HasNiceBasis
+HasNiceFreeLeftModule
+HasNiceFreeLeftModuleInfo
 IsMutableBasis
 IsGaussianSpace
-IsCanonicalBasis
+HasCanonicalBasis
 IsNonGaussianRowSpace
 IsNonGaussianMatrixSpace
-IsNormedRowVectors
+HasNormedRowVectors
 IsSubspacesVectorSpace
-IsSubspaces
-IsOrthogonalSpaceInFullRowSpace
+HasSubspaces
+HasOrthogonalSpaceInFullRowSpace
 IsVectorSpaceHomomorphism
-IsIsVectorSpaceHomomorphism
-IsAsLeftModuleGeneralMappingByImages
+HasIsVectorSpaceHomomorphism
+HasAsLeftModuleGeneralMappingByImages
 IsFullHomModule
-IsIsFullHomModule
+HasIsFullHomModule
 IsPseudoCanonicalBasisFullHomModule
-IsIsPseudoCanonicalBasisFullHomModule
+HasIsPseudoCanonicalBasisFullHomModule
 IsLinearMappingsModule
 IsSimpleAlgebra
-IsIsSimpleAlgebra
-IsGeneratorsOfLeftOperatorRing
-IsGeneratorsOfLeftOperatorRingWithOne
-IsPowerSubalgebraSeries
-IsAdjointBasis
-IsIndicesOfAdjointBasis
-IsRadicalOfAlgebra
-IsDirectSumDecomposition
-IsNullAlgebra
-IsLieAlgebraByDomain
+HasIsSimpleAlgebra
+HasGeneratorsOfLeftOperatorRing
+HasGeneratorsOfLeftOperatorRingWithOne
+HasPowerSubalgebraSeries
+HasAdjointBasis
+HasIndicesOfAdjointBasis
+HasRadicalOfAlgebra
+HasDirectSumDecomposition
+HasNullAlgebra
+HasLieAlgebraByDomain
 IsQuaternion
 CategoryCollections
 CategoryCollections
-IsLeviMalcevDecomposition
-IsGrading
+HasLeviMalcevDecomposition
+HasGrading
 IsElementOfMagmaRingModuloRelations
 CategoryCollections
 CategoryFamily
 IsElementOfFreeMagmaRing
 CategoryCollections
 CategoryFamily
-IsCoefficientsAndMagmaElements
-IsZeroCoefficient
+HasCoefficientsAndMagmaElements
+HasZeroCoefficient
 IsMagmaRingModuloRelations
 IsFreeMagmaRing
 IsGroupRing
-IsIsGroupRing
-IsUnderlyingMagma
-IsAugmentationIdeal
+HasIsGroupRing
+HasUnderlyingMagma
+HasAugmentationIdeal
 IsMagmaRingModuloSpanOfZero
 IsElementOfMagmaRingModuloSpanOfZeroFamily
 IsSpaceOfElementsOfMagmaRing
@@ -910,59 +910,59 @@ CategoryCollections
 CategoryFamily
 IsSubalgebraFpAlgebra
 IsFullFpAlgebra
-IsIsFullFpAlgebra
-IsFreeGeneratorsOfFpAlgebra
-IsRelatorsOfFpAlgebra
-IsFreeAlgebraOfFpAlgebra
+HasIsFullFpAlgebra
+HasFreeGeneratorsOfFpAlgebra
+HasRelatorsOfFpAlgebra
+HasFreeAlgebraOfFpAlgebra
 IsNormalForm
-IsIsNormalForm
-IsNiceNormalFormByExtRepFunction
-IsNiceAlgebraMonomorphism
+HasIsNormalForm
+HasNiceNormalFormByExtRepFunction
+HasNiceAlgebraMonomorphism
 IsFpAlgebraElementsSpace
 IsLieAbelian
-IsIsLieAbelian
+HasIsLieAbelian
 IsLieNilpotent
-IsIsLieNilpotent
+HasIsLieNilpotent
 IsRestrictedLieAlgebra
-IsIsRestrictedLieAlgebra
-IsLieDerivedSubalgebra
-IsLieDerivedSeries
+HasIsRestrictedLieAlgebra
+HasLieDerivedSubalgebra
+HasLieDerivedSeries
 IsLieSolvable
-IsIsLieSolvable
-IsLieLowerCentralSeries
-IsLieUpperCentralSeries
-IsLieCentre
-IsRightDerivations
-IsLeftDerivations
-IsKillingMatrix
-IsCartanSubalgebra
-IsPthPowerImages
-IsNonNilpotentElement
-IsLieNilRadical
-IsLieSolvableRadical
-IsSemiSimpleType
-IsLieCentralizerInParent
-IsLieNormalizerInParent
-IsPowerS
+HasIsLieSolvable
+HasLieLowerCentralSeries
+HasLieUpperCentralSeries
+HasLieCentre
+HasRightDerivations
+HasLeftDerivations
+HasKillingMatrix
+HasCartanSubalgebra
+HasPthPowerImages
+HasNonNilpotentElement
+HasLieNilRadical
+HasLieSolvableRadical
+HasSemiSimpleType
+HasLieCentralizerInParent
+HasLieNormalizerInParent
+HasPowerS
 IsRootSystem
 IsRootSystemFromLieAlgebra
-IsUnderlyingLieAlgebra
-IsRootSystem
-IsPositiveRoots
-IsNegativeRoots
-IsPositiveRootVectors
-IsNegativeRootVectors
-IsSimpleSystem
-IsCartanMatrix
-IsBilinearFormMat
-IsCanonicalGenerators
-IsChevalleyBasis
-IsUniversalEnvelopingAlgebra
+HasUnderlyingLieAlgebra
+HasRootSystem
+HasPositiveRoots
+HasNegativeRoots
+HasPositiveRootVectors
+HasNegativeRootVectors
+HasSimpleSystem
+HasCartanMatrix
+HasBilinearFormMat
+HasCanonicalGenerators
+HasChevalleyBasis
+HasUniversalEnvelopingAlgebra
 IsFamilyElementOfFreeLieAlgebra
 IsFptoSCAMorphism
-IsJenningsLieAlgebra
-IsPCentralLieAlgebra
-IsNaturalHomomorphismOfLieAlgebraFromNilpotentGroup
+HasJenningsLieAlgebra
+HasPCentralLieAlgebra
+HasNaturalHomomorphismOfLieAlgebraFromNilpotentGroup
 IsFamilyOverFullCoefficientsFamily
 IsSCAlgebraObj
 CategoryCollections
@@ -970,20 +970,20 @@ CategoryCollections
 CategoryCollections
 CategoryFamily
 IsFullSCAlgebra
-IsIsFullSCAlgebra
+HasIsFullSCAlgebra
 IsCanonicalBasisFullSCAlgebra
-IsIsCanonicalBasisFullSCAlgebra
+HasIsCanonicalBasisFullSCAlgebra
 IsSCAlgebraObjSpace
-IsIsomorphismFpFLMLOR
-IsIsomorphismMatrixFLMLOR
-IsIsomorphismSCFLMLOR
+HasIsomorphismFpFLMLOR
+HasIsomorphismMatrixFLMLOR
+HasIsomorphismSCFLMLOR
 IsLieObject
 CategoryCollections
 CategoryCollections
-IsLieFamily
-IsUnderlyingFamily
-IsLieObject
-IsUnderlyingRingElement
+HasLieFamily
+HasUnderlyingFamily
+HasLieObject
+HasUnderlyingRingElement
 IsLieObjectsModule
 IsAlgebraModuleElement
 CategoryCollections
@@ -993,17 +993,17 @@ CategoryCollections
 IsRightAlgebraModuleElement
 CategoryCollections
 IsAlgebraModule
-IsIsAlgebraModule
+HasIsAlgebraModule
 IsLeftAlgebraModule
-IsIsLeftAlgebraModule
+HasIsLeftAlgebraModule
 IsRightAlgebraModule
-IsIsRightAlgebraModule
-IsLeftActingAlgebra
-IsRightActingAlgebra
-IsGeneratorsOfAlgebraModule
+HasIsRightAlgebraModule
+HasLeftActingAlgebra
+HasRightActingAlgebra
+HasGeneratorsOfAlgebraModule
 IsBasisOfAlgebraModuleElementSpace
-IsAdjointModule
-IsFaithfulModule
+HasAdjointModule
+HasFaithfulModule
 IsMonomialElement
 CategoryCollections
 CategoryFamily
@@ -1023,15 +1023,15 @@ IsDirectSumElementsSpace
 IsCochain
 CategoryCollections
 IsWeylGroup
-IsIsWeylGroup
-IsWeylGroup
-IsSparseCartanMatrix
-IsLongestWeylWordPerm
-IsPositiveRootsAsWeights
+HasIsWeylGroup
+HasWeylGroup
+HasSparseCartanMatrix
+HasLongestWeylWordPerm
+HasPositiveRootsAsWeights
 IsUEALatticeElement
 CategoryCollections
 CategoryFamily
-IsLatticeGeneratorsInUEA
+HasLatticeGeneratorsInUEA
 IsWeightRepElement
 CategoryCollections
 CategoryFamily
@@ -1043,17 +1043,17 @@ IsIntegers
 IsPositiveIntegers
 IsNonnegativeIntegers
 IsGaussianIntegers
-IsPrimeDivisors
+HasPrimeDivisors
 IsSCRingObj
 CategoryCollections
 CategoryCollections
 CategoryCollections
 CategoryFamily
-IsStandardGeneratorsSubringSCRing
-IsSubrings
-IsIdeals
-IsDirectSumInfo
-IsPermanent
+HasStandardGeneratorsSubringSCRing
+HasSubrings
+HasIdeals
+HasDirectSumInfo
+HasPermanent
 IsPolynomialFunction
 IsRationalFunction
 CategoryCollections
@@ -1063,58 +1063,58 @@ IsRationalFunctionsFamilyElement
 IsPolynomialFunctionsFamily
 IsRationalFunctionsFamily
 IsRationalFunctionOverField
-IsRationalFunctionsFamily
-IsCoefficientsFamily
-IsNumeratorOfRationalFunction
-IsDenominatorOfRationalFunction
+HasRationalFunctionsFamily
+HasCoefficientsFamily
+HasNumeratorOfRationalFunction
+HasDenominatorOfRationalFunction
 IsPolynomial
-IsIsPolynomial
-IsAsPolynomial
+HasIsPolynomial
+HasAsPolynomial
 IsUnivariateRationalFunction
-IsIsUnivariateRationalFunction
+HasIsUnivariateRationalFunction
 IsLaurentPolynomial
-IsIsLaurentPolynomial
+HasIsLaurentPolynomial
 IsConstantRationalFunction
-IsIsConstantRationalFunction
+HasIsConstantRationalFunction
 IsRationalFunctionDefaultRep
 IsPolynomialDefaultRep
 IsLaurentPolynomialDefaultRep
 IsUnivariateRationalFunctionDefaultRep
-IsExtRepNumeratorRatFun
-IsExtRepDenominatorRatFun
-IsExtRepPolynomialRatFun
-IsCoefficientsOfLaurentPolynomial
-IsIndeterminateNumberOfUnivariateRationalFunction
-IsIndeterminateOfUnivariateRationalFunction
-IsCoefficientsOfUnivariatePolynomial
-IsDegreeOfLaurentPolynomial
-IsCoefficientsOfUnivariateRationalFunction
-IsDerivative
-IsDiscriminant
+HasExtRepNumeratorRatFun
+HasExtRepDenominatorRatFun
+HasExtRepPolynomialRatFun
+HasCoefficientsOfLaurentPolynomial
+HasIndeterminateNumberOfUnivariateRationalFunction
+HasIndeterminateOfUnivariateRationalFunction
+HasCoefficientsOfUnivariatePolynomial
+HasDegreeOfLaurentPolynomial
+HasCoefficientsOfUnivariateRationalFunction
+HasDerivative
+HasDiscriminant
 IsLaurentPolynomialsFamilyElement
 IsUnivariatePolynomialsFamilyElement
 IsLaurentPolynomialsFamily
 IsUnivariatePolynomialsFamily
+HasPrimeField
 IsPrimeField
-IsPrimeField
-IsIsPrimeField
-IsDefiningPolynomial
-IsDegreeOverPrimeField
-IsGeneratorsOfDivisionRing
-IsNormalBase
-IsPrimitiveElement
-IsPrimitiveRoot
-IsRootOfDefiningPolynomial
-IsSubfields
+HasIsPrimeField
+HasDefiningPolynomial
+HasDegreeOverPrimeField
+HasGeneratorsOfDivisionRing
+HasNormalBase
+HasPrimitiveElement
+HasPrimitiveRoot
+HasRootOfDefiningPolynomial
+HasSubfields
 IsFieldControlledByGaloisGroup
-IsConjugates
-IsNorm
-IsTrace
-IsGaloisGroup
-IsComplexConjugate
-IsRealPart
-IsImaginaryPart
-IsFrobeniusAutomorphism
+HasConjugates
+HasNorm
+HasTrace
+HasGaloisGroup
+HasComplexConjugate
+HasRealPart
+HasImaginaryPart
+HasFrobeniusAutomorphism
 IsFieldElementsSpace
 IsZmodnZObj
 IsZmodnZObjNonprime
@@ -1122,23 +1122,23 @@ CategoryFamily
 CategoryCollections
 CategoryCollections
 CategoryCollections
-IsModulusOfZmodnZObj
+HasModulusOfZmodnZObj
 IsZmodnZepsObj
 CategoryCollections
 IsZmodnZepsRep
-IsCyclotomic
-IsIsRingOfIntegralCyclotomics
-IsGaloisMat
-IsRationalizedMat
+HasCyclotomic
+HasIsRingOfIntegralCyclotomics
+HasGaloisMat
+HasRationalizedMat
 IsNumberField
-IsIsNumberField
+HasIsNumberField
 IsAbelianNumberField
-IsIsAbelianNumberField
+HasIsAbelianNumberField
 IsCyclotomicField
-IsIsCyclotomicField
-IsGaloisStabilizer
+HasIsCyclotomicField
+HasGaloisStabilizer
 IsGaussianRationals
-IsExponentOfPowering
+HasExponentOfPowering
 IsPadicNumber
 CategoryCollections
 CategoryCollections
@@ -1154,19 +1154,19 @@ IsFiniteFieldPolynomialRing
 IsAbelianNumberFieldPolynomialRing
 IsAlgebraicExtensionPolynomialRing
 IsRationalsPolynomialRing
-IsCoefficientsRing
-IsIndeterminatesOfPolynomialRing
-IsSplittingField
-IsIrrFacsPol
-IsMinimizedBombieriNorm
+HasCoefficientsRing
+HasIndeterminatesOfPolynomialRing
+HasSplittingField
+HasIrrFacsPol
+HasMinimizedBombieriNorm
 IsAlgebraicElement
 CategoryCollections
 CategoryCollections
 CategoryCollections
 CategoryFamily
 IsAlgebraicExtension
-IsAlgebraicElementsFamilies
-IsDefectApproximation
+HasAlgebraicElementsFamilies
+HasDefectApproximation
 IsUnknown
 IsWord
 CategoryCollections
@@ -1194,12 +1194,12 @@ IsLetterWordsFamily
 IsBLetterWordsFamily
 IsWLetterWordsFamily
 IsFreeSemigroup
-IsIsFreeSemigroup
+HasIsFreeSemigroup
 IsFreeMonoid
-IsIsFreeMonoid
-IsNumberSyllables
-IsBaseDomain
-IsRowLength
+HasIsFreeMonoid
+HasNumberSyllables
+HasBaseDomain
+HasRowLength
 IsPlistVectorRep
 IsPlistMatrixRep
 IsIntVector
@@ -1209,34 +1209,34 @@ IsCheckingMatrix
 IsRewritingSystem
 IsReducedConfluentRewritingSystem
 IsBuiltFromAdditiveMagmaWithInverses
-IsIsBuiltFromAdditiveMagmaWithInverses
+HasIsBuiltFromAdditiveMagmaWithInverses
 IsBuiltFromMagma
-IsIsBuiltFromMagma
+HasIsBuiltFromMagma
 IsBuiltFromMagmaWithOne
-IsIsBuiltFromMagmaWithOne
+HasIsBuiltFromMagmaWithOne
 IsBuiltFromMagmaWithInverses
-IsIsBuiltFromMagmaWithInverses
+HasIsBuiltFromMagmaWithInverses
 IsBuiltFromGroup
-IsIsBuiltFromGroup
+HasIsBuiltFromGroup
 IsBuiltFromSemigroup
-IsIsBuiltFromSemigroup
+HasIsBuiltFromSemigroup
 IsBuiltFromMonoid
-IsIsBuiltFromMonoid
-IsSemigroupOfRewritingSystem
-IsMonoidOfRewritingSystem
-IsConfluentRws
-IsGeneratorsOfRws
-IsNumberGeneratorsOfRws
-IsRules
-IsOrderingOfRewritingSystem
+HasIsBuiltFromMonoid
+HasSemigroupOfRewritingSystem
+HasMonoidOfRewritingSystem
+HasConfluentRws
+HasGeneratorsOfRws
+HasNumberGeneratorsOfRws
+HasRules
+HasOrderingOfRewritingSystem
 IsConfluent
-IsIsConfluent
+HasIsConfluent
 IsReduced
-IsIsReduced
+HasIsReduced
 IsPolycyclicCollector
 IsPowerConjugateCollector
 IsPowerCommutatorCollector
-IsRelativeOrders
+HasRelativeOrders
 IsUpToDatePolycyclicCollector
 IsElementsFamilyByRws
 IsMultiplicativeElementWithInverseByRws
@@ -1244,128 +1244,128 @@ IsElementFinitePolycyclicGroup
 CategoryCollections
 IsMultiplicativeElementWithInverseByPolycyclicCollector
 CategoryCollections
-IsDefiningPcgs
+HasDefiningPcgs
 IsKernelPcWord
 IsElementsFamilyBy8BitsSingleCollector
 IsElementsFamilyBy16BitsSingleCollector
 IsElementsFamilyBy32BitsSingleCollector
 IsMonomialOrdering
 IsMonomialOrderingDefaultRep
-IsMonomialComparisonFunction
-IsMonomialExtrepComparisonFun
-IsOccuringVariableIndices
-IsStoredGroebnerBasis
+HasMonomialComparisonFunction
+HasMonomialExtrepComparisonFun
+HasOccuringVariableIndices
+HasStoredGroebnerBasis
 IsGeneralPcgs
 IsModuloPcgs
 IsPcgs
 IsPcgsFamily
 IsPcgsDefaultRep
-IsPcGroupWithPcgs
-IsGroupOfPcgs
-IsOneOfPcgs
-IsPcSeries
-IsPcgsElementaryAbelianSeries
-IsIsPcgsElementaryAbelianSeries
+HasPcGroupWithPcgs
+HasGroupOfPcgs
+HasOneOfPcgs
+HasPcSeries
 IsPcgsElementaryAbelianSeries
-IsIndicesEANormalSteps
-IsEANormalSeriesByPcgs
+HasIsPcgsElementaryAbelianSeries
+HasPcgsElementaryAbelianSeries
+HasIndicesEANormalSteps
+HasEANormalSeriesByPcgs
 IsPcgsCentralSeries
-IsIsPcgsCentralSeries
-IsPcgsCentralSeries
-IsIndicesCentralNormalSteps
-IsCentralNormalSeriesByPcgs
-IsPcgsPCentralSeriesPGroup
-IsIsPcgsPCentralSeriesPGroup
+HasIsPcgsCentralSeries
+HasPcgsCentralSeries
+HasIndicesCentralNormalSteps
+HasCentralNormalSeriesByPcgs
 IsPcgsPCentralSeriesPGroup
-IsIndicesPCentralNormalStepsPGroup
-IsPCentralNormalSeriesByPcgsPGroup
-IsPcgsChiefSeries
-IsIsPcgsChiefSeries
+HasIsPcgsPCentralSeriesPGroup
+HasPcgsPCentralSeriesPGroup
+HasIndicesPCentralNormalStepsPGroup
+HasPCentralNormalSeriesByPcgsPGroup
 IsPcgsChiefSeries
-IsIndicesChiefNormalSteps
-IsChiefNormalSeriesByPcgs
-IsIndicesNormalSteps
-IsNormalSeriesByPcgs
+HasIsPcgsChiefSeries
+HasPcgsChiefSeries
+HasIndicesChiefNormalSteps
+HasChiefNormalSeriesByPcgs
+HasIndicesNormalSteps
+HasNormalSeriesByPcgs
 IsPrimeOrdersPcgs
-IsIsPrimeOrdersPcgs
+HasIsPrimeOrdersPcgs
 IsFiniteOrdersPcgs
-IsIsFiniteOrdersPcgs
-IsRefinedPcGroup
-IsIsomorphismRefinedPcGroup
+HasIsFiniteOrdersPcgs
+HasRefinedPcGroup
+HasIsomorphismRefinedPcGroup
 IsInducedPcgs
-IsLeadCoeffsIGS
-IsParentPcgs
+HasLeadCoeffsIGS
+HasParentPcgs
+HasCanonicalPcgs
 IsCanonicalPcgs
-IsCanonicalPcgs
-IsIsCanonicalPcgs
+HasIsCanonicalPcgs
 IsParentPcgsFamilyPcgs
-IsIsParentPcgsFamilyPcgs
-IsElementaryAbelianSubseries
+HasIsParentPcgsFamilyPcgs
+HasElementaryAbelianSubseries
 IsFamilyPcgs
-IsIsFamilyPcgs
-IsDenominatorOfModuloPcgs
-IsNumeratorOfModuloPcgs
+HasIsFamilyPcgs
+HasDenominatorOfModuloPcgs
+HasNumeratorOfModuloPcgs
 IsNumeratorParentPcgsFamilyPcgs
-IsIsNumeratorParentPcgsFamilyPcgs
+HasIsNumeratorParentPcgsFamilyPcgs
 IsPcgsPermGroupRep
 IsModuloPcgsPermGroupRep
 IsSpecialPcgs
-IsIsSpecialPcgs
-IsSpecialPcgs
-IsLGHeads
-IsLGTails
-IsLGWeights
-IsLGLayers
-IsLGFirst
-IsLGLength
-IsInducedPcgsWrtSpecialPcgs
-IsCanonicalPcgsWrtSpecialPcgs
+HasIsSpecialPcgs
+HasSpecialPcgs
+HasLGHeads
+HasLGTails
+HasLGWeights
+HasLGLayers
+HasLGFirst
+HasLGLength
+HasInducedPcgsWrtSpecialPcgs
+HasCanonicalPcgsWrtSpecialPcgs
 IsInducedPcgsWrtSpecialPcgs
-IsIsInducedPcgsWrtSpecialPcgs
+HasIsInducedPcgsWrtSpecialPcgs
 IsCanonicalPcgsWrtSpecialPcgs
-IsIsCanonicalPcgsWrtSpecialPcgs
-IsCanonicalPcgsWrtFamilyPcgs
-IsCanonicalPcgsWrtHomePcgs
-IsFamilyPcgs
-IsHomePcgs
-IsInducedPcgsWrtFamilyPcgs
-IsComputedInducedPcgses
-IsInducedPcgsWrtHomePcgs
-IsPcgs
-IsGeneralizedPcgs
+HasIsCanonicalPcgsWrtSpecialPcgs
+HasCanonicalPcgsWrtFamilyPcgs
+HasCanonicalPcgsWrtHomePcgs
+HasFamilyPcgs
+HasHomePcgs
+HasInducedPcgsWrtFamilyPcgs
+HasComputedInducedPcgses
+HasInducedPcgsWrtHomePcgs
+HasPcgs
+HasGeneralizedPcgs
 CanEasilyComputePcgs
-IsOmegaSeries
-IsNormalizerInHomePcgs
-IsMultiplicationTable
-IsAllBlocks
-IsTransitiveIdentification
-IsPrimitiveIdentification
-IsONanScottType
-IsSocleTypePrimitiveGroup
-IsTwoClosure
+HasOmegaSeries
+HasNormalizerInHomePcgs
+HasMultiplicationTable
+HasAllBlocks
+HasTransitiveIdentification
+HasPrimitiveIdentification
+HasONanScottType
+HasSocleTypePrimitiveGroup
+HasTwoClosure
 IsGroupGeneralMappingByImages
 IsPreimagesByAsGroupGeneralMappingByImages
 IsGroupGeneralMappingByAsGroupGeneralMappingByImages
-IsAsGroupGeneralMappingByImages
-IsMappingOfWhichItIsAsGGMBI
-IsNaturalHomomorphismByNormalSubgroupNCInParent
+HasAsGroupGeneralMappingByImages
+HasMappingOfWhichItIsAsGGMBI
+HasNaturalHomomorphismByNormalSubgroupNCInParent
 IsConjugatorIsomorphism
-IsIsConjugatorIsomorphism
+HasIsConjugatorIsomorphism
 IsInnerAutomorphism
-IsIsInnerAutomorphism
-IsConjugatorOfConjugatorIsomorphism
-IsImagesSmallestGenerators
-IsRegularActionHomomorphism
+HasIsInnerAutomorphism
+HasConjugatorOfConjugatorIsomorphism
+HasImagesSmallestGenerators
+HasRegularActionHomomorphism
 IsGroupGeneralMappingByPcgs
 IsPcGroupGeneralMappingByImages
 IsToPcGroupGeneralMappingByImages
 IsNaturalHomomorphismPcGroupRep
 IsPcgsToPcgsGeneralMappingByImages
-IsDirectProductInfo
-IsSubdirectProductInfo
-IsSemidirectProductInfo
-IsWreathProductInfo
-IsFreeProductInfo
+HasDirectProductInfo
+HasSubdirectProductInfo
+HasSemidirectProductInfo
+HasWreathProductInfo
+HasFreeProductInfo
 IsWreathProductElement
 CategoryCollections
 IsWreathProductElementDefaultRep
@@ -1373,337 +1373,337 @@ IsPermGroupGeneralMapping
 IsPermGroupGeneralMappingByImages
 IsToPermGroupGeneralMappingByImages
 IsNaturalSymmetricGroup
-IsIsNaturalSymmetricGroup
+HasIsNaturalSymmetricGroup
 IsNaturalAlternatingGroup
-IsIsNaturalAlternatingGroup
+HasIsNaturalAlternatingGroup
 IsAlternatingGroup
-IsIsAlternatingGroup
+HasIsAlternatingGroup
 IsSymmetricGroup
-IsIsSymmetricGroup
-IsSymmetricParentGroup
-IsAlternatingSubgroup
-IsOrbitStabilizingParentGroup
-IsDirectFactorsOfGroup
-IsSemidirectFactorsOfGroup
-IsDecompositionTypesOfGroup
+HasIsSymmetricGroup
+HasSymmetricParentGroup
+HasAlternatingSubgroup
+HasOrbitStabilizingParentGroup
+HasDirectFactorsOfGroup
+HasSemidirectFactorsOfGroup
+HasDecompositionTypesOfGroup
 IsDihedralGroup
-IsIsDihedralGroup
-IsDihedralGenerators
+HasIsDihedralGroup
+HasDihedralGenerators
 IsQuaternionGroup
-IsIsQuaternionGroup
-IsQuaternionGenerators
+HasIsQuaternionGroup
+HasQuaternionGenerators
 IsQuasiDihedralGroup
-IsIsQuasiDihedralGroup
-IsQuasiDihedralGenerators
+HasIsQuasiDihedralGroup
+HasQuasiDihedralGenerators
 IsPSL
-IsIsPSL
-IsParametersOfGroupViewedAsPSL
-IsParametersOfGroupViewedAsSL
-IsParametersOfGroupViewedAsGL
-IsAlternatingDegree
-IsSymmetricDegree
-IsPSLDegree
-IsPSLUnderlyingField
-IsSLDegree
-IsSLUnderlyingField
-IsGLDegree
-IsGLUnderlyingField
-IsStructureDescription
+HasIsPSL
+HasParametersOfGroupViewedAsPSL
+HasParametersOfGroupViewedAsSL
+HasParametersOfGroupViewedAsGL
+HasAlternatingDegree
+HasSymmetricDegree
+HasPSLDegree
+HasPSLUnderlyingField
+HasSLDegree
+HasSLUnderlyingField
+HasGLDegree
+HasGLUnderlyingField
+HasStructureDescription
 IsQuotientSystem
 IsPQuotientSystem
-IsIsPQuotientSystem
+HasIsPQuotientSystem
 IsNilpQuotientSystem
-IsIsNilpQuotientSystem
+HasIsNilpQuotientSystem
 IsExternalSet
 IsExternalSubset
 IsExternalOrbit
 IsExternalSetByPcgs
 IsExternalSetDefaultRep
 IsExternalSetByActorsRep
-IsActingDomain
-IsHomeEnumerator
+HasActingDomain
+HasHomeEnumerator
 IsActionHomomorphism
 IsActionHomomorphismByActors
 IsActionHomomorphismSubset
-IsActionKernelExternalSet
+HasActionKernelExternalSet
 IsActionHomomorphismByBase
 IsConstituentHomomorphism
 IsBlocksHomomorphism
 IsLinearActionHomomorphism
 IsProjectiveActionHomomorphism
-IsLinearActionBasis
-IsFunctionAction
-IsStabilizerOfExternalSet
-IsCanonicalRepresentativeOfExternalSet
-IsCanonicalRepresentativeDeterminatorOfExternalSet
-IsCanEasilyDetermineCanonicalRepresentativeExternalSet
-IsActorOfExternalSet
-IsActionHomomorphismAttr
-IsSurjectiveActionHomomorphismAttr
-IsUnderlyingExternalSet
-IsExternalSet
-IsOrbits
-IsOrbitsDomain
-IsOrbitLengths
-IsOrbitLengthsDomain
-IsExternalOrbits
-IsExternalOrbitsStabilizers
-IsTransitivity
-IsBlocksAttr
-IsMaximalBlocksAttr
-IsRepresentativesMinimalBlocksAttr
-IsEarns
+HasLinearActionBasis
+HasFunctionAction
+HasStabilizerOfExternalSet
+HasCanonicalRepresentativeOfExternalSet
+HasCanonicalRepresentativeDeterminatorOfExternalSet
+HasCanEasilyDetermineCanonicalRepresentativeExternalSet
+HasActorOfExternalSet
+HasActionHomomorphismAttr
+HasSurjectiveActionHomomorphismAttr
+HasUnderlyingExternalSet
+HasExternalSet
+HasOrbits
+HasOrbitsDomain
+HasOrbitLengths
+HasOrbitLengthsDomain
+HasExternalOrbits
+HasExternalOrbitsStabilizers
+HasTransitivity
+HasBlocksAttr
+HasMaximalBlocksAttr
+HasRepresentativesMinimalBlocksAttr
+HasEarns
 IsTransitive
-IsIsTransitive
+HasIsTransitive
 IsPrimitive
-IsIsPrimitive
+HasIsPrimitive
 IsPrimitiveAffine
-IsIsPrimitiveAffine
+HasIsPrimitiveAffine
 IsSemiRegular
-IsIsSemiRegular
+HasIsSemiRegular
 IsRegular
-IsIsRegular
-IsRankAction
-IsStabChainMutable
-IsStabChainImmutable
-IsStabChainOptions
-IsBaseOfGroup
-IsMinimalStabChain
+HasIsRegular
+HasRankAction
+HasStabChainMutable
+HasStabChainImmutable
+HasStabChainOptions
+HasBaseOfGroup
+HasMinimalStabChain
 IsPermOnEnumerator
 IsExternalOrbitByStabilizerRep
 IsConjugacyClassGroupRep
 IsConjugacyClassPermGroupRep
 IsRationalClassGroupRep
 IsRationalClassPermGroupRep
-IsDecomposedRationalClass
-IsStoredPermliftSeries
-IsComputedAscendingChains
+HasDecomposedRationalClass
+HasStoredPermliftSeries
+HasComputedAscendingChains
 IsDoubleCoset
-IsLeftActingGroup
-IsRightActingGroup
-IsRepresentativesContainedRightCosets
+HasLeftActingGroup
+HasRightActingGroup
+HasRepresentativesContainedRightCosets
 IsRightCoset
-IsNaturalHomomorphismsPool
-IsSocleComplement
-IsSocleDimensions
-IsModuleOfExtension
-IsOmegaAndLowerPCentralSeries
-IsSchurCover
-IsEpimorphismSchurCover
-IsAbelianInvariantsMultiplier
-IsEpicentre
+HasNaturalHomomorphismsPool
+HasSocleComplement
+HasSocleDimensions
+HasModuleOfExtension
+HasOmegaAndLowerPCentralSeries
+HasSchurCover
+HasEpimorphismSchurCover
+HasAbelianInvariantsMultiplier
+HasEpicentre
 IsCentralFactor
-IsIsCentralFactor
+HasIsCentralFactor
 IsConjugacyClassSubgroupsRep
 IsConjugacyClassSubgroupsByStabilizerRep
 IsLatticeSubgroupsRep
-IsZuppos
-IsMaximalSubgroupsLattice
-IsMinimalSupergroupsLattice
-IsTomDataAlmostSimpleRecognition
+HasZuppos
+HasMaximalSubgroupsLattice
+HasMinimalSupergroupsLattice
+HasTomDataAlmostSimpleRecognition
 IsFrattiniFree
-IsIsFrattiniFree
+HasIsFrattiniFree
 IsStraightLineProgram
-IsLinesOfStraightLineProgram
-IsNrInputsOfStraightLineProgram
+HasLinesOfStraightLineProgram
+HasNrInputsOfStraightLineProgram
 StraightLineProgramElmRankFilter
 IsStraightLineProgElm
-IsStraightLineProgElmType
-IsSlotUsagePattern
-IsLargestNrSlots
+HasStraightLineProgElmType
+HasSlotUsagePattern
+HasLargestNrSlots
 IsObjWithMemoryRankFilter
 IsObjWithMemory
-IsTypeOfObjWithMemory
+HasTypeOfObjWithMemory
 IsSubgroupFgGroup
 IsSubgroupFpGroup
 IsElementOfFpGroup
 CategoryCollections
 CategoryFamily
-IsFpElmEqualityMethod
-IsFpElmComparisonMethod
-IsFpElementNFFunction
-IsCosetTableInWholeGroup
-IsCosetTableNormalClosureInWholeGroup
+HasFpElmEqualityMethod
+HasFpElmComparisonMethod
+HasFpElementNFFunction
+HasCosetTableInWholeGroup
+HasCosetTableNormalClosureInWholeGroup
 IsSubgroupOfWholeGroupByQuotientRep
-IsAsSubgroupOfWholeGroupByQuotient
-IsFreeGeneratorsOfFpGroup
-IsRelatorsOfFpGroup
-IsFreeGroupOfFpGroup
-IsIndicesInvolutaryGenerators
-IsStoredExcludedOrders
-IsFPFaithHom
-IsAugmentedCosetTableMtcInWholeGroup
-IsAugmentedCosetTableRrsInWholeGroup
-IsAugmentedCosetTableNormalClosureInWholeGroup
+HasAsSubgroupOfWholeGroupByQuotient
+HasFreeGeneratorsOfFpGroup
+HasRelatorsOfFpGroup
+HasFreeGroupOfFpGroup
+HasIndicesInvolutaryGenerators
+HasStoredExcludedOrders
+HasFPFaithHom
+HasAugmentedCosetTableMtcInWholeGroup
+HasAugmentedCosetTableRrsInWholeGroup
+HasAugmentedCosetTableNormalClosureInWholeGroup
 IsPresentation
-IsPrimaryGeneratorWords
-IsTietzeOrigin
-IsTzOptions
+HasPrimaryGeneratorWords
+HasTietzeOrigin
+HasTzOptions
 Extrarankfilter
 IsFromFpGroupGeneralMapping
 IsFromFpGroupGeneralMappingByImages
 IsFromFpGroupStdGensGeneralMappingByImages
 IsToFpGroupGeneralMappingByImages
 IsWordDecompHomomorphism
-IsIsWordDecompHomomorphism
-IsCosetTableFpHom
-IsIsomorphismSimplifiedFpGroup
-IsEpimorphismFromFreeGroup
+HasIsWordDecompHomomorphism
+HasCosetTableFpHom
+HasIsomorphismSimplifiedFpGroup
+HasEpimorphismFromFreeGroup
 IsCanonicalBasisIntegersRep
+HasNiceMonomorphism
 IsNiceMonomorphism
-IsNiceMonomorphism
-IsCanonicalNiceMonomorphism
-IsIsCanonicalNiceMonomorphism
 IsCanonicalNiceMonomorphism
-IsNiceObject
+HasIsCanonicalNiceMonomorphism
+HasCanonicalNiceMonomorphism
+HasNiceObject
 IsHandledByNiceMonomorphism
-IsIsHandledByNiceMonomorphism
-IsSeedFaithfulAction
-IsAutomorphismGroup
+HasIsHandledByNiceMonomorphism
+HasSeedFaithfulAction
+HasAutomorphismGroup
 IsGroupOfAutomorphisms
-IsIsGroupOfAutomorphisms
+HasIsGroupOfAutomorphisms
 IsGroupOfAutomorphismsFiniteGroup
-IsIsGroupOfAutomorphismsFiniteGroup
-IsAutomorphismDomain
+HasIsGroupOfAutomorphismsFiniteGroup
+HasAutomorphismDomain
 IsAutomorphismGroup
-IsIsAutomorphismGroup
-IsInnerAutomorphismsAutomorphismGroup
-IsDefaultFieldOfMatrixGroup
-IsDimensionOfMatrixGroup
-IsFieldOfMatrixGroup
-IsTransposedMatrixGroup
+HasIsAutomorphismGroup
+HasInnerAutomorphismsAutomorphismGroup
+HasDefaultFieldOfMatrixGroup
+HasDimensionOfMatrixGroup
+HasFieldOfMatrixGroup
+HasTransposedMatrixGroup
 IsGeneralLinearGroup
-IsIsGeneralLinearGroup
+HasIsGeneralLinearGroup
 IsNaturalGL
-IsIsNaturalGL
+HasIsNaturalGL
 IsSpecialLinearGroup
-IsIsSpecialLinearGroup
+HasIsSpecialLinearGroup
 IsNaturalSL
-IsIsNaturalSL
+HasIsNaturalSL
 IsSubgroupSL
-IsIsSubgroupSL
-IsInvariantBilinearForm
+HasIsSubgroupSL
+HasInvariantBilinearForm
 IsFullSubgroupGLorSLRespectingBilinearForm
-IsIsFullSubgroupGLorSLRespectingBilinearForm
-IsInvariantSesquilinearForm
+HasIsFullSubgroupGLorSLRespectingBilinearForm
+HasInvariantSesquilinearForm
 IsFullSubgroupGLorSLRespectingSesquilinearForm
-IsIsFullSubgroupGLorSLRespectingSesquilinearForm
-IsInvariantQuadraticForm
+HasIsFullSubgroupGLorSLRespectingSesquilinearForm
+HasInvariantQuadraticForm
 IsFullSubgroupGLorSLRespectingQuadraticForm
-IsIsFullSubgroupGLorSLRespectingQuadraticForm
+HasIsFullSubgroupGLorSLRespectingQuadraticForm
 CanComputeFittingFree
-IsFittingFreeLiftSetup
-IsRecogDecompinfoHomomorphism
-IsDirectFactorsFittingFreeSocle
-IsChiefSeriesTF
+HasFittingFreeLiftSetup
+HasRecogDecompinfoHomomorphism
+HasDirectFactorsFittingFreeSocle
+HasChiefSeriesTF
 IsRationalMatrixGroup
-IsIsRationalMatrixGroup
+HasIsRationalMatrixGroup
 IsIntegerMatrixGroup
-IsIsIntegerMatrixGroup
-IsZClassRepsQClass
-IsNormalizerInGLnZ
-IsCentralizerInGLnZ
+HasIsIntegerMatrixGroup
+HasZClassRepsQClass
+HasNormalizerInGLnZ
+HasCentralizerInGLnZ
 IsBravaisGroup
-IsIsBravaisGroup
-IsBravaisGroup
-IsBravaisSubgroups
-IsBravaisSupergroups
-IsNormalizerInGLnZBravaisGroup
-IsInvariantLattice
+HasIsBravaisGroup
+HasBravaisGroup
+HasBravaisSubgroups
+HasBravaisSupergroups
+HasNormalizerInGLnZBravaisGroup
+HasInvariantLattice
 IsPerfectLibraryGroup
-IsPerfectIdentification
-IsDataAboutSimpleGroup
+HasPerfectIdentification
+HasDataAboutSimpleGroup
 IsImfMatrixGroup
-IsImfRecord
+HasImfRecord
 IsOrdering
-IsOrderingsFamily
+HasOrderingsFamily
 IsWellFoundedOrdering
-IsIsWellFoundedOrdering
+HasIsWellFoundedOrdering
 IsTotalOrdering
-IsIsTotalOrdering
-IsFamilyForOrdering
-IsLessThanFunction
-IsLessThanOrEqualFunction
+HasIsTotalOrdering
+HasFamilyForOrdering
+HasLessThanFunction
+HasLessThanOrEqualFunction
 IsOrderingOnFamilyOfAssocWords
-IsIsOrderingOnFamilyOfAssocWords
-IsLetterRepWordsLessFunc
+HasIsOrderingOnFamilyOfAssocWords
+HasLetterRepWordsLessFunc
 IsTranslationInvariantOrdering
-IsIsTranslationInvariantOrdering
-IsOrderingOnGenerators
+HasIsTranslationInvariantOrdering
+HasOrderingOnGenerators
 IsShortLexOrdering
-IsIsShortLexOrdering
-IsWeightOfGenerators
+HasIsShortLexOrdering
+HasWeightOfGenerators
 IsWeightLexOrdering
-IsIsWeightLexOrdering
+HasIsWeightLexOrdering
 IsBasicWreathProductOrdering
-IsIsBasicWreathProductOrdering
+HasIsBasicWreathProductOrdering
 IsWreathProductOrdering
-IsIsWreathProductOrdering
-IsLevelsOfGenerators
-IsLargestImageOfMovedPoint
-IsSmallestImageOfMovedPoint
-IsRankOfTransformation
-IsAsPermutation
-IsAsTransformation
-IsDegreeOfTransformationCollection
-IsFlatKernelOfTransformation
+HasIsWreathProductOrdering
+HasLevelsOfGenerators
+HasLargestImageOfMovedPoint
+HasSmallestImageOfMovedPoint
+HasRankOfTransformation
+HasAsPermutation
+HasAsTransformation
+HasDegreeOfTransformationCollection
+HasFlatKernelOfTransformation
 IsFlatKernelOfTransformation
-IsIsFlatKernelOfTransformation
-IsImageSetOfTransformation
-IsKernelOfTransformation
-IsSmallestIdempotentPower
-IsComponentRepsOfTransformation
-IsNrComponentsOfTransformation
-IsComponentsOfTransformation
-IsCyclesOfTransformation
-IsLeftOne
-IsRightOne
-IsDomainOfPartialPerm
-IsImageListOfPartialPerm
-IsImageSetOfPartialPerm
-IsIndexPeriodOfPartialPerm
-IsComponentRepsOfPartialPerm
-IsNrComponentsOfPartialPerm
-IsComponentsOfPartialPerm
-IsFixedPointsOfPartialPerm
-IsNrFixedPoints
-IsDegreeOfPartialPermCollection
-IsCodegreeOfPartialPermCollection
-IsRankOfPartialPermCollection
-IsDomainOfPartialPermCollection
-IsImageOfPartialPermCollection
-IsTransformationRepresentation
+HasIsFlatKernelOfTransformation
+HasImageSetOfTransformation
+HasKernelOfTransformation
+HasSmallestIdempotentPower
+HasComponentRepsOfTransformation
+HasNrComponentsOfTransformation
+HasComponentsOfTransformation
+HasCyclesOfTransformation
+HasLeftOne
+HasRightOne
+HasDomainOfPartialPerm
+HasImageListOfPartialPerm
+HasImageSetOfPartialPerm
+HasIndexPeriodOfPartialPerm
+HasComponentRepsOfPartialPerm
+HasNrComponentsOfPartialPerm
+HasComponentsOfPartialPerm
+HasFixedPointsOfPartialPerm
+HasNrFixedPoints
+HasDegreeOfPartialPermCollection
+HasCodegreeOfPartialPermCollection
+HasRankOfPartialPermCollection
+HasDomainOfPartialPermCollection
+HasImageOfPartialPermCollection
+HasTransformationRepresentation
 IsElementOfFpSemigroup
 CategoryCollections
 CategoryFamily
-IsFreeGeneratorsOfFpSemigroup
-IsFreeSemigroupOfFpSemigroup
-IsRelationsOfFpSemigroup
-IsIsomorphismFpSemigroup
+HasFreeGeneratorsOfFpSemigroup
+HasFreeSemigroupOfFpSemigroup
+HasRelationsOfFpSemigroup
+HasIsomorphismFpSemigroup
 IsElementOfFpMonoid
 CategoryCollections
 CategoryFamily
-IsFreeGeneratorsOfFpMonoid
-IsFreeMonoidOfFpMonoid
-IsRelationsOfFpMonoid
-IsIsomorphismFpMonoid
-IsReducedConfluentRewritingSystem
-IsFreeMonoidOfRewritingSystem
-IsFamilyForRewritingSystem
-IsFreeSemigroupOfRewritingSystem
+HasFreeGeneratorsOfFpMonoid
+HasFreeMonoidOfFpMonoid
+HasRelationsOfFpMonoid
+HasIsomorphismFpMonoid
+HasReducedConfluentRewritingSystem
+HasFreeMonoidOfRewritingSystem
+HasFamilyForRewritingSystem
+HasFreeSemigroupOfRewritingSystem
 IsKnuthBendixRewritingSystem
-IsTzRules
-IsCosetTableOfFpSemigroup
+HasTzRules
+HasCosetTableOfFpSemigroup
 IsMonoidByAdjoiningIdentityElt
 IsMonoidByAdjoiningIdentity
-IsAdjoinedIdentityFamily
-IsUnderlyingSemigroupFamily
-IsAdjoinedIdentityDefaultType
+HasAdjoinedIdentityFamily
+HasUnderlyingSemigroupFamily
+HasAdjoinedIdentityDefaultType
 IsMonoidByAdjoiningIdentityEltRep
-IsMonoidByAdjoiningIdentity
-IsUnderlyingSemigroupOfMonoidByAdjoiningIdentity
-IsMonoidByAdjoiningIdentityElt
-IsUnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt
+HasMonoidByAdjoiningIdentity
+HasUnderlyingSemigroupOfMonoidByAdjoiningIdentity
+HasMonoidByAdjoiningIdentityElt
+HasUnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt
 IsGreensRelation
 IsGreensRRelation
 IsGreensLRelation
@@ -1711,243 +1711,243 @@ IsGreensJRelation
 IsGreensHRelation
 IsGreensDRelation
 IsFiniteSemigroupGreensRelation
-IsIsFiniteSemigroupGreensRelation
-IsGreensRRelation
-IsGreensLRelation
-IsGreensJRelation
-IsGreensDRelation
-IsGreensHRelation
-IsAssociatedConcreteSemigroup
-IsAssociatedFpSemigroup
+HasIsFiniteSemigroupGreensRelation
+HasGreensRRelation
+HasGreensLRelation
+HasGreensJRelation
+HasGreensDRelation
+HasGreensHRelation
+HasAssociatedConcreteSemigroup
+HasAssociatedFpSemigroup
 IsGreensClass
 IsGreensRClass
 IsGreensLClass
 IsGreensJClass
 IsGreensHClass
 IsGreensDClass
-IsGreensRClasses
-IsGreensLClasses
-IsGreensJClasses
-IsGreensDClasses
-IsGreensHClasses
-IsRClassOfHClass
-IsLClassOfHClass
-IsDClassOfHClass
-IsDClassOfLClass
-IsDClassOfRClass
-IsGroupHClassOfGreensDClass
+HasGreensRClasses
+HasGreensLClasses
+HasGreensJClasses
+HasGreensDClasses
+HasGreensHClasses
+HasRClassOfHClass
+HasLClassOfHClass
+HasDClassOfHClass
+HasDClassOfLClass
+HasDClassOfRClass
+HasGroupHClassOfGreensDClass
 IsRegularDClass
-IsIsRegularDClass
+HasIsRegularDClass
 IsGroupHClass
-IsIsGroupHClass
-IsEggBoxOfDClass
-IsInternalRepGreensRelation
-IsCanonicalGreensClass
+HasIsGroupHClass
+HasEggBoxOfDClass
+HasInternalRepGreensRelation
+HasCanonicalGreensClass
 IsSemigroupGeneralMappingRep
 IsSemigroupHomomorphismByImagesRep
 IsFpSemigpReducedElt
-IsIsFpSemigpReducedElt
+HasIsFpSemigpReducedElt
 IsFpMonoidReducedElt
-IsIsFpMonoidReducedElt
+HasIsFpMonoidReducedElt
 IsFullTransformationSemigroup
-IsIsFullTransformationSemigroup
-IsDegreeOfTransformationSemigroup
-IsIsomorphismTransformationSemigroup
-IsIsomorphismTransformationMonoid
-IsAntiIsomorphismTransformationSemigroup
+HasIsFullTransformationSemigroup
+HasDegreeOfTransformationSemigroup
+HasIsomorphismTransformationSemigroup
+HasIsomorphismTransformationMonoid
+HasAntiIsomorphismTransformationSemigroup
 IsReesMatrixSemigroupElement
 IsReesZeroMatrixSemigroupElement
 CategoryCollections
 CategoryCollections
 IsReesMatrixSemigroup
-IsIsReesMatrixSemigroup
+HasIsReesMatrixSemigroup
 IsReesZeroMatrixSemigroup
-IsIsReesZeroMatrixSemigroup
-IsMatrix
-IsRows
-IsColumns
-IsUnderlyingSemigroup
-IsAssociatedReesMatrixSemigroupOfDClass
-IsIsomorphismReesMatrixSemigroup
-IsIsomorphismReesZeroMatrixSemigroup
-IsReesMatrixSemigroupOfFamily
-IsTypeReesMatrixSemigroupElements
+HasIsReesZeroMatrixSemigroup
+HasMatrix
+HasRows
+HasColumns
+HasUnderlyingSemigroup
+HasAssociatedReesMatrixSemigroupOfDClass
+HasIsomorphismReesMatrixSemigroup
+HasIsomorphismReesZeroMatrixSemigroup
+HasReesMatrixSemigroupOfFamily
+HasTypeReesMatrixSemigroupElements
 IsQuotientSemigroup
-IsQuotientSemigroupPreimage
-IsQuotientSemigroupCongruence
-IsQuotientSemigroupHomomorphism
-IsDegreeOfPartialPermSemigroup
-IsCodegreeOfPartialPermSemigroup
-IsRankOfPartialPermSemigroup
+HasQuotientSemigroupPreimage
+HasQuotientSemigroupCongruence
+HasQuotientSemigroupHomomorphism
+HasDegreeOfPartialPermSemigroup
+HasCodegreeOfPartialPermSemigroup
+HasRankOfPartialPermSemigroup
 IsSymmetricInverseSemigroup
-IsIsSymmetricInverseSemigroup
-IsIsomorphismPartialPermSemigroup
-IsIsomorphismPartialPermMonoid
+HasIsSymmetricInverseSemigroup
+HasIsomorphismPartialPermSemigroup
+HasIsomorphismPartialPermMonoid
 IsNearlyCharacterTable
 IsCharacterTable
 IsOrdinaryTable
 IsBrauerTable
 IsCharacterTableInProgress
-IsUnderlyingGroup
-IsIdentificationOfConjugacyClasses
-IsCharacterDegrees
-IsIrr
-IsLinearCharacters
-IsIBr
-IsOrdinaryCharacterTable
+HasUnderlyingGroup
+HasIdentificationOfConjugacyClasses
+HasCharacterDegrees
+HasIrr
+HasLinearCharacters
+HasIBr
+HasOrdinaryCharacterTable
 IsAlmostSimpleCharacterTable
-IsIsAlmostSimpleCharacterTable
+HasIsAlmostSimpleCharacterTable
 IsMonomialCharacterTable
-IsIsMonomialCharacterTable
+HasIsMonomialCharacterTable
 IsNilpotentCharacterTable
-IsIsNilpotentCharacterTable
+HasIsNilpotentCharacterTable
 IsPerfectCharacterTable
-IsIsPerfectCharacterTable
+HasIsPerfectCharacterTable
 IsSimpleCharacterTable
-IsIsSimpleCharacterTable
+HasIsSimpleCharacterTable
 IsSolvableCharacterTable
-IsIsSolvableCharacterTable
+HasIsSolvableCharacterTable
 IsSporadicSimpleCharacterTable
-IsIsSporadicSimpleCharacterTable
+HasIsSporadicSimpleCharacterTable
 IsSupersolvableCharacterTable
-IsIsSupersolvableCharacterTable
-IsOrdersClassRepresentatives
-IsSizesCentralizers
-IsSizesConjugacyClasses
-IsAutomorphismsOfTable
-IsUnderlyingCharacteristic
-IsClassNames
-IsCharacterNames
-IsClassParameters
-IsCharacterParameters
-IsIdentifier
-IsInverseClasses
-IsRealClasses
-IsClassRoots
-IsClassPositionsOfNormalSubgroups
-IsClassPositionsOfMaximalNormalSubgroups
-IsClassPositionsOfMinimalNormalSubgroups
-IsClassPositionsOfCentre
-IsClassPositionsOfDirectProductDecompositions
-IsClassPositionsOfDerivedSubgroup
-IsClassPositionsOfElementaryAbelianSeries
-IsClassPositionsOfFittingSubgroup
-IsClassPositionsOfSolvableRadical
-IsClassPositionsOfLowerCentralSeries
-IsClassPositionsOfUpperCentralSeries
-IsClassPositionsOfSolvableResiduum
-IsClassPositionsOfSupersolvableResiduum
-IsComputedPrimeBlockss
-IsBlocksInfo
-IsDecompositionMatrix
-IsComputedIsPSolvableCharacterTables
-IsComputedIndicators
-IsComputedBrauerTables
-IsDisplayOptions
-IsFactorsOfDirectProduct
-IsCharacterTableIsoclinic
-IsSourceOfIsoclinicTable
-IsClassPermutation
-IsNormalSubgroupClassesInfo
+HasIsSupersolvableCharacterTable
+HasOrdersClassRepresentatives
+HasSizesCentralizers
+HasSizesConjugacyClasses
+HasAutomorphismsOfTable
+HasUnderlyingCharacteristic
+HasClassNames
+HasCharacterNames
+HasClassParameters
+HasCharacterParameters
+HasIdentifier
+HasInverseClasses
+HasRealClasses
+HasClassRoots
+HasClassPositionsOfNormalSubgroups
+HasClassPositionsOfMaximalNormalSubgroups
+HasClassPositionsOfMinimalNormalSubgroups
+HasClassPositionsOfCentre
+HasClassPositionsOfDirectProductDecompositions
+HasClassPositionsOfDerivedSubgroup
+HasClassPositionsOfElementaryAbelianSeries
+HasClassPositionsOfFittingSubgroup
+HasClassPositionsOfSolvableRadical
+HasClassPositionsOfLowerCentralSeries
+HasClassPositionsOfUpperCentralSeries
+HasClassPositionsOfSolvableResiduum
+HasClassPositionsOfSupersolvableResiduum
+HasComputedPrimeBlockss
+HasBlocksInfo
+HasDecompositionMatrix
+HasComputedIsPSolvableCharacterTables
+HasComputedIndicators
+HasComputedBrauerTables
+HasDisplayOptions
+HasFactorsOfDirectProduct
+HasCharacterTableIsoclinic
+HasSourceOfIsoclinicTable
+HasClassPermutation
+HasNormalSubgroupClassesInfo
 IsLibraryCharacterTableRep
 IsGenericCharacterTableRep
 IsClassFunction
-IsUnderlyingCharacterTable
-IsValuesOfClassFunction
-IsGlobalPartitionOfClasses
-IsTrivialCharacter
-IsNaturalCharacter
+HasUnderlyingCharacterTable
+HasValuesOfClassFunction
+HasGlobalPartitionOfClasses
+HasTrivialCharacter
+HasNaturalCharacter
 IsCharacter
-IsIsCharacter
+HasIsCharacter
 IsVirtualCharacter
-IsIsVirtualCharacter
+HasIsVirtualCharacter
 IsIrreducibleCharacter
-IsIsIrreducibleCharacter
-IsCentreOfCharacter
-IsConstituentsOfCharacter
-IsDegreeOfCharacter
-IsKernelOfCharacter
-IsClassPositionsOfKernel
-IsCentralCharacter
-IsDeterminantOfCharacter
-IsBrauerCharacterValue
+HasIsIrreducibleCharacter
+HasCentreOfCharacter
+HasConstituentsOfCharacter
+HasDegreeOfCharacter
+HasKernelOfCharacter
+HasClassPositionsOfKernel
+HasCentralCharacter
+HasDeterminantOfCharacter
+HasBrauerCharacterValue
 IsClassFunctionsSpace
-IsComputedPowerMaps
-IsFusionConjugacyClassesOp
-IsComputedClassFusions
-IsNamesOfFusionSources
-IsBaumClausenInfo
-IsIrreducibleRepresentations
-IsIrrBaumClausen
-IsIrrConlon
-IsMolienSeriesInfo
-IsAlpha
-IsDelta
+HasComputedPowerMaps
+HasFusionConjugacyClassesOp
+HasComputedClassFusions
+HasNamesOfFusionSources
+HasBaumClausenInfo
+HasIrreducibleRepresentations
+HasIrrBaumClausen
+HasIrrConlon
+HasMolienSeriesInfo
+HasAlpha
+HasDelta
 IsBergerCondition
-IsIsBergerCondition
+HasIsBergerCondition
 IsPrimitiveCharacter
-IsIsPrimitiveCharacter
-IsTestQuasiPrimitive
+HasIsPrimitiveCharacter
+HasTestQuasiPrimitive
 IsQuasiPrimitive
-IsIsQuasiPrimitive
+HasIsQuasiPrimitive
 IsInducedFromNormalSubgroup
-IsIsInducedFromNormalSubgroup
+HasIsInducedFromNormalSubgroup
 IsMonomialCharacter
-IsIsMonomialCharacter
+HasIsMonomialCharacter
 IsMonomialNumber
-IsIsMonomialNumber
-IsTestMonomialQuick
-IsTestMonomial
-IsTestSubnormallyMonomial
+HasIsMonomialNumber
+HasTestMonomialQuick
+HasTestMonomial
+HasTestSubnormallyMonomial
 IsSubnormallyMonomial
-IsIsSubnormallyMonomial
-IsTestRelativelySM
+HasIsSubnormallyMonomial
+HasTestRelativelySM
 IsRelativelySM
-IsIsRelativelySM
+HasIsRelativelySM
 IsMinimalNonmonomial
-IsIsMinimalNonmonomial
-IsDixonRecord
-IsIrrDixonSchneider
-IsTableOfMarks
+HasIsMinimalNonmonomial
+HasDixonRecord
+HasIrrDixonSchneider
+HasTableOfMarks
 IsTableOfMarks
-IsPermutationTom
-IsMarksTom
-IsSubsTom
-IsNrSubsTom
-IsOrdersTom
-IsLengthsTom
-IsClassTypesTom
-IsClassNamesTom
-IsFusionsTom
-IsIdempotentsTom
-IsIdempotentsTomInfo
-IsMatTom
-IsMoebiusTom
-IsWeightsTom
+HasPermutationTom
+HasMarksTom
+HasSubsTom
+HasNrSubsTom
+HasOrdersTom
+HasLengthsTom
+HasClassTypesTom
+HasClassNamesTom
+HasFusionsTom
+HasIdempotentsTom
+HasIdempotentsTomInfo
+HasMatTom
+HasMoebiusTom
+HasWeightsTom
 IsAbelianTom
-IsIsAbelianTom
+HasIsAbelianTom
 IsCyclicTom
-IsIsCyclicTom
+HasIsCyclicTom
 IsNilpotentTom
-IsIsNilpotentTom
+HasIsNilpotentTom
 IsPerfectTom
-IsIsPerfectTom
+HasIsPerfectTom
 IsSolvableTom
-IsIsSolvableTom
-IsDerivedSubgroupsTomPossible
-IsDerivedSubgroupsTomUnique
-IsNormalizersTom
-IsCyclicExtensionsTom
-IsComputedCyclicExtensionsTom
-IsMaximalSubgroupsTom
-IsGeneratorsSubgroupsTom
-IsStraightLineProgramsTom
+HasIsSolvableTom
+HasDerivedSubgroupsTomPossible
+HasDerivedSubgroupsTomUnique
+HasNormalizersTom
+HasCyclicExtensionsTom
+HasComputedCyclicExtensionsTom
+HasMaximalSubgroupsTom
+HasGeneratorsSubgroupsTom
+HasStraightLineProgramsTom
 IsTableOfMarksWithGens
 IsUnicodeString
 IsUnicodeCharacter
 IsObjToBePrinted
 IsFile
-IsProcessID
+HasProcessID
 IO_Result
 IsRealRandomSource
 IsBackgroundJob
@@ -2082,141 +2082,141 @@ IsKnuthBendixRewritingSystemRep
 IsFloatPseudoField
 IsFloatRationalFunction
 IsIEEE754PseudoField
-IsIdGroup
-IsGap3CatalogueIdGroup
-IsFrattinifactorSize
-IsFrattinifactorId
-IsGaloisType
-IsSimsNo
-IsMinimalBlockDimension
+HasIdGroup
+HasGap3CatalogueIdGroup
+HasFrattinifactorSize
+HasFrattinifactorId
+HasGaloisType
+HasSimsNo
+HasMinimalBlockDimension
 IsPrimitiveMatrixGroup
-IsIsPrimitiveMatrixGroup
+HasIsPrimitiveMatrixGroup
 IsPrimGrpIterRep
 IsPGAutomorphismRep
-IsIrrFacsAlgExtPol
+HasIrrFacsAlgExtPol
 IsBasisOfMatrixField
 IsUnitGroup
-IsIsUnitGroup
+HasIsUnitGroup
 IsUnitGroupIsomorphism
-IsIsUnitGroupIsomorphism
+HasIsUnitGroupIsomorphism
 IsNumberFieldByMatrices
-IsIsNumberFieldByMatrices
+HasIsNumberFieldByMatrices
 IsMultGroupByFieldElemsIsomorphism
-IsIsMultGroupByFieldElemsIsomorphism
-IsIntegerDefiningPolynomial
-IsIntegerPrimitiveElement
-IsEquationOrderBasis
-IsMaximalOrderBasis
-IsUnitGroup
-IsFieldOfUnitGroup
+HasIsMultGroupByFieldElemsIsomorphism
+HasIntegerDefiningPolynomial
+HasIntegerPrimitiveElement
+HasEquationOrderBasis
+HasMaximalOrderBasis
+HasUnitGroup
+HasFieldOfUnitGroup
 IsFromTheLeftCollectorRep
 IsWeightedCollector
-IsIsWeightedCollector
+HasIsWeightedCollector
 IsPolynomialCollector
-IsIsPolynomialCollector
+HasIsPolynomialCollector
 UseLibraryCollector
-IsUseLibraryCollector
+HasUseLibraryCollector
 IsPolycyclicPresentation
-IsIsPolycyclicPresentation
+HasIsPolycyclicPresentation
 IsPcpElement
 CategoryFamily
 CategoryCollections
 IsPcpElementRep
-IsTailOfElm
-IsRelativeOrderPcp
-IsRelativeIndex
-IsFactorOrder
-IsIgs
-IsNgs
-IsCgs
+HasTailOfElm
+HasRelativeOrderPcp
+HasRelativeIndex
+HasFactorOrder
+HasIgs
+HasNgs
+HasCgs
 IsPcp
 IsPcpRep
 Extrarankfilter
 IsFromPcpGHBI
 Extrarankfilter
 IsToPcpGHBI
-IsEfaSeries
-IsPcpsOfEfaSeries
-IsIsomorphismPcpGroup
-IsPcpGroupByEfaSeries
+HasEfaSeries
+HasPcpsOfEfaSeries
+HasIsomorphismPcpGroup
+HasPcpGroupByEfaSeries
 IsHomomorphismIntoMatrixGroup
-IsIsHomomorphismIntoMatrixGroup
-IsSemiSimpleEfaSeries
-IsFCCentre
+HasIsHomomorphismIntoMatrixGroup
+HasSemiSimpleEfaSeries
+HasFCCentre
 IsNilpotentByFinite
-IsIsNilpotentByFinite
-IsComputedMaximalSubgroupClassesByIndexs
-IsComputedLowIndexSubgroupClassess
-IsComputedLowIndexNormalSubgroupss
-IsSchurExtension
-IsSchurExtensionEpimorphism
-IsNonAbelianTensorSquare
-IsNonAbelianExteriorSquare
-IsTorsionSubgroup
-IsNormalTorsionSubgroup
-IsFiniteSubgroupClasses
+HasIsNilpotentByFinite
+HasComputedMaximalSubgroupClassesByIndexs
+HasComputedLowIndexSubgroupClassess
+HasComputedLowIndexNormalSubgroupss
+HasSchurExtension
+HasSchurExtensionEpimorphism
+HasNonAbelianTensorSquare
+HasNonAbelianExteriorSquare
+HasTorsionSubgroup
+HasNormalTorsionSubgroup
+HasFiniteSubgroupClasses
 IsTorsionFree
-IsIsTorsionFree
+HasIsTorsionFree
 IsFreeAbelian
-IsIsFreeAbelian
+HasIsFreeAbelian
 IsClass
-IsMemberFunction
-IsComputedIsMembers
-IsGroupClass
-IsIsGroupClass
+HasMemberFunction
+HasComputedIsMembers
 IsGroupClass
+HasIsGroupClass
+HasGroupClass
 ContainsTrivialGroup
-IsContainsTrivialGroup
+HasContainsTrivialGroup
 IsSubgroupClosed
-IsIsSubgroupClosed
+HasIsSubgroupClosed
 IsNormalSubgroupClosed
-IsIsNormalSubgroupClosed
+HasIsNormalSubgroupClosed
 IsQuotientClosed
-IsIsQuotientClosed
+HasIsQuotientClosed
 IsResiduallyClosed
-IsIsResiduallyClosed
+HasIsResiduallyClosed
 IsNormalProductClosed
-IsIsNormalProductClosed
+HasIsNormalProductClosed
 IsDirectProductClosed
-IsIsDirectProductClosed
+HasIsDirectProductClosed
 IsSchunckClass
-IsIsSchunckClass
+HasIsSchunckClass
 IsSaturated
-IsIsSaturated
-IsFittingClass
-IsInjectorFunction
-IsRadicalFunction
+HasIsSaturated
+HasFittingClass
+HasInjectorFunction
+HasRadicalFunction
 IsPrimitiveSolubleGroup
-IsIsPrimitiveSolubleGroup
-IsSchunckClass
-IsBoundary
-IsProjectorFunction
-IsBoundaryFunction
-IsOrdinaryFormation
-IsSaturatedFormation
-IsFittingFormation
-IsSaturatedFittingFormation
-IsResidualFunction
-IsLocalDefinitionFunction
-IsComputedProjectors
-IsComputedCoveringSubgroups
-IsComputedInjectors
-IsComputedRadicals
-IsComputedResiduals
-IsCharacteristicSubgroups
-IsNormalGeneratorsOfNilpotentResidual
-IsPrimePowerGensPcSequence
-IsCRISP_SmallGeneratingSet
-IsNilpotentProjector
-IsSupersolubleProjector
-IsComputedPSocleComponentss
-IsComputedPSocleSeriess
-IsComputedPSocles
-IsSolubleSocle
-IsSocleComponents
-IsSolubleSocleComponents
-IsComputedMinimalNormalPSubgroupss
-IsAbelianMinimalNormalSubgroups
+HasIsPrimitiveSolubleGroup
+HasSchunckClass
+HasBoundary
+HasProjectorFunction
+HasBoundaryFunction
+HasOrdinaryFormation
+HasSaturatedFormation
+HasFittingFormation
+HasSaturatedFittingFormation
+HasResidualFunction
+HasLocalDefinitionFunction
+HasComputedProjectors
+HasComputedCoveringSubgroups
+HasComputedInjectors
+HasComputedRadicals
+HasComputedResiduals
+HasCharacteristicSubgroups
+HasNormalGeneratorsOfNilpotentResidual
+HasPrimePowerGensPcSequence
+HasCRISP_SmallGeneratingSet
+HasNilpotentProjector
+HasSupersolubleProjector
+HasComputedPSocleComponentss
+HasComputedPSocleSeriess
+HasComputedPSocles
+HasSolubleSocle
+HasSocleComponents
+HasSolubleSocleComponents
+HasComputedMinimalNormalPSubgroupss
+HasAbelianMinimalNormalSubgroups
 IsClassByPropertyRep
 IsClassByComplementRep
 IsClassByIntersectionRep
@@ -2227,221 +2227,221 @@ IsFittingSetRep
 IsFormationProductRep
 IsBBoxProgram
 IsStraightLineDecision
-IsLinesOfStraightLineDecision
-IsNrInputsOfStraightLineDecision
-IsAsBBoxProgram
-IsAsStraightLineProgram
-IsAsStraightLineDecision
-IsMaxes
-IsAtlasRepInfoRecord
-IsCASInfo
-IsConstructionInfoCharacterTable
-IsFusionToTom
-IsProjectivesInfo
-IsExtensionInfoCharacterTable
-IsGroupInfoForCharacterTable
+HasLinesOfStraightLineDecision
+HasNrInputsOfStraightLineDecision
+HasAsBBoxProgram
+HasAsStraightLineProgram
+HasAsStraightLineDecision
+HasMaxes
+HasAtlasRepInfoRecord
+HasCASInfo
+HasConstructionInfoCharacterTable
+HasFusionToTom
+HasProjectivesInfo
+HasExtensionInfoCharacterTable
+HasGroupInfoForCharacterTable
 KnowsSomeGroupInfo
-IsKnowsSomeGroupInfo
+HasKnowsSomeGroupInfo
 IsNontrivialDirectProduct
-IsIsNontrivialDirectProduct
+HasIsNontrivialDirectProduct
 KnowsDeligneLusztigNames
-IsKnowsDeligneLusztigNames
+HasKnowsDeligneLusztigNames
 IsDuplicateTable
-IsIsDuplicateTable
-IsIdentifierOfMainTable
-IsIdentifiersOfDuplicateTables
-IsDeligneLusztigNames
-IsDeligneLusztigName
-IsFingerprintOfCharacterTable
-IsSpinSymIngredients
+HasIsDuplicateTable
+HasIdentifierOfMainTable
+HasIdentifiersOfDuplicateTables
+HasDeligneLusztigNames
+HasDeligneLusztigName
+HasFingerprintOfCharacterTable
+HasSpinSymIngredients
 IsSpinSymTable
 IsLibTomRep
-IsNamesLibTom
-IsNotifiedFusionsOfLibTom
-IsFusionsOfLibTom
-IsNotifiedFusionsToLibTom
-IsFusionsToLibTom
-IsStandardGeneratorsInfo
+HasNamesLibTom
+HasNotifiedFusionsOfLibTom
+HasFusionsOfLibTom
+HasNotifiedFusionsToLibTom
+HasFusionsToLibTom
+HasStandardGeneratorsInfo
 IsInvAutomatonCategory
-IsFGA_States
-IsFGA_GeneratorsLetterRep
-IsFreeGeneratorsOfGroup
-IsRankOfFreeGroup
-IsFreeGroupAutomaton
-IsFreeGroupExtendedAutomaton
-IsNormalizerInWholeGroup
-IsFGA_Source
-IsFGA_Image
+HasFGA_States
+HasFGA_GeneratorsLetterRep
+HasFreeGeneratorsOfGroup
+HasRankOfFreeGroup
+HasFreeGroupAutomaton
+HasFreeGroupExtendedAutomaton
+HasNormalizerInWholeGroup
+HasFGA_Source
+HasFGA_Image
 IsAutomorphismGroupOfFreeGroup
-IsFGA_WhiteheadParams
-IsFGA_WhiteheadAutomorphisms
-IsFGA_NielsenAutomorphisms
+HasFGA_WhiteheadParams
+HasFGA_WhiteheadAutomorphisms
+HasFGA_NielsenAutomorphisms
 IsSimpleInvAutomatonRep
 IsIrreducibleMatrixGroup
-IsIsIrreducibleMatrixGroup
-IsComputedIsIrreducibleMatrixGroups
+HasIsIrreducibleMatrixGroup
+HasComputedIsIrreducibleMatrixGroups
 IsAbsolutelyIrreducibleMatrixGroup
-IsIsAbsolutelyIrreducibleMatrixGroup
-IsComputedIsPrimitiveMatrixGroups
-IsMinimalBlockDimensionOfMatrixGroup
-IsComputedMinimalBlockDimensionOfMatrixGroups
-IsCharacteristicOfField
-IsRepresentationIsomorphism
+HasIsAbsolutelyIrreducibleMatrixGroup
+HasComputedIsPrimitiveMatrixGroups
+HasMinimalBlockDimensionOfMatrixGroup
+HasComputedMinimalBlockDimensionOfMatrixGroups
+HasCharacteristicOfField
+HasRepresentationIsomorphism
 IsMaximalAbsolutelyIrreducibleSolvableMatrixGroup
-IsIsMaximalAbsolutelyIrreducibleSolvableMatrixGroup
-IsImprimitivitySystems
-IsComputedImprimitivitySystemss
-IsTraceField
-IsConjugatingMatTraceField
-IsFingerprintMatrixGroup
-IsIdIrreducibleSolvableMatrixGroup
-IsIdPrimitiveSolvableGroup
+HasIsMaximalAbsolutelyIrreducibleSolvableMatrixGroup
+HasImprimitivitySystems
+HasComputedImprimitivitySystemss
+HasTraceField
+HasConjugatingMatTraceField
+HasFingerprintMatrixGroup
+HasIdIrreducibleSolvableMatrixGroup
+HasIdPrimitiveSolvableGroup
 IsNilpotentLieAutomorphismRep
 IsLieNilpotentOverFp
-IsIsLieNilpotentOverFp
-IsAutomorphismGroupOfNilpotentLieAlgebra
-IsMinimalGeneratorNumber
-IsLieCover
-IsIsLieCover
-IsCoverOf
-IsCoverHomomorphism
+HasIsLieNilpotentOverFp
+HasAutomorphismGroupOfNilpotentLieAlgebra
+HasMinimalGeneratorNumber
 IsLieCover
-IsLieNucleus
-IsLieMultiplicator
+HasIsLieCover
+HasCoverOf
+HasCoverHomomorphism
+HasLieCover
+HasLieNucleus
+HasLieMultiplicator
 IsLieAlgebraWithNB
-IsIsLieAlgebraWithNB
+HasIsLieAlgebraWithNB
+HasNilpotentBasis
 IsNilpotentBasis
-IsNilpotentBasis
-IsIsNilpotentBasis
-IsLieNBDefinitions
-IsLieNBWeights
+HasIsNilpotentBasis
+HasLieNBDefinitions
+HasLieNBWeights
 IsGroupAlgebra
-IsIsGroupAlgebra
+HasIsGroupAlgebra
 IsFModularGroupAlgebra
-IsIsFModularGroupAlgebra
+HasIsFModularGroupAlgebra
 IsPModularGroupAlgebra
-IsIsPModularGroupAlgebra
-IsUnderlyingRing
-IsUnderlyingField
-IsSupport
-IsCoefficientsBySupport
-IsTraceOfMagmaRingElement
-IsAugmentation
-IsIsSymmetric
-IsIsUnitary
-IsWeightedBasis
-IsAugmentationIdealPowerSeries
-IsAugmentationIdealNilpotencyIndex
-IsAugmentationIdealOfDerivedSubgroupNilpotencyIndex
+HasIsPModularGroupAlgebra
+HasUnderlyingRing
+HasUnderlyingField
+HasSupport
+HasCoefficientsBySupport
+HasTraceOfMagmaRingElement
+HasAugmentation
+HasIsSymmetric
+HasIsUnitary
+HasWeightedBasis
+HasAugmentationIdealPowerSeries
+HasAugmentationIdealNilpotencyIndex
+HasAugmentationIdealOfDerivedSubgroupNilpotencyIndex
 IsGroupOfUnitsOfMagmaRing
-IsIsGroupOfUnitsOfMagmaRing
+HasIsGroupOfUnitsOfMagmaRing
 IsUnitGroupOfGroupRing
-IsIsUnitGroupOfGroupRing
+HasIsUnitGroupOfGroupRing
 IsNormalizedUnitGroupOfGroupRing
-IsIsNormalizedUnitGroupOfGroupRing
-IsUnderlyingGroupRing
-IsNormalizedUnitGroup
-IsPcNormalizedUnitGroup
-IsComputedAugmentationIdealPowerFactorGroups
-IsPcUnits
-IsNaturalBijectionToPcNormalizedUnitGroup
-IsNaturalBijectionToNormalizedUnitGroup
-IsGroupBases
-IsBicyclicUnitGroup
-IsUnitarySubgroup
+HasIsNormalizedUnitGroupOfGroupRing
+HasUnderlyingGroupRing
+HasNormalizedUnitGroup
+HasPcNormalizedUnitGroup
+HasComputedAugmentationIdealPowerFactorGroups
+HasPcUnits
+HasNaturalBijectionToPcNormalizedUnitGroup
+HasNaturalBijectionToNormalizedUnitGroup
+HasGroupBases
+HasBicyclicUnitGroup
+HasUnitarySubgroup
 IsLieAlgebraByAssociativeAlgebra
-IsUnderlyingAssociativeAlgebra
+HasUnderlyingAssociativeAlgebra
 IsLieAlgebraOfGroupRing
-IsIsLieAlgebraOfGroupRing
+HasIsLieAlgebraOfGroupRing
 IsBasisOfLieAlgebraOfGroupRing
-IsIsBasisOfLieAlgebraOfGroupRing
-IsNaturalBijectionToLieAlgebra
-IsNaturalBijectionToAssociativeAlgebra
-IsAugmentationHomomorphism
+HasIsBasisOfLieAlgebraOfGroupRing
+HasNaturalBijectionToLieAlgebra
+HasNaturalBijectionToAssociativeAlgebra
+HasAugmentationHomomorphism
 IsLieMetabelian
-IsIsLieMetabelian
+HasIsLieMetabelian
 IsLieCentreByMetabelian
-IsIsLieCentreByMetabelian
-IsLieUpperNilpotencyIndex
-IsLieLowerNilpotencyIndex
-IsLieDerivedLength
-IsSubgroupsOfIndexTwo
-IsDihedralDepth
-IsDimensionBasis
-IsLieDimensionSubgroups
-IsLieUpperCodimensionSeries
-IsRootsAsMatrices
+HasIsLieCentreByMetabelian
+HasLieUpperNilpotencyIndex
+HasLieLowerNilpotencyIndex
+HasLieDerivedLength
+HasSubgroupsOfIndexTwo
+HasDihedralDepth
+HasDimensionBasis
+HasLieDimensionSubgroups
+HasLieUpperCodimensionSeries
+HasRootsAsMatrices
 IsSolvablePolynomial
-IsIsSolvablePolynomial
+HasIsSolvablePolynomial
 IsSeparablePolynomial
-IsIsSeparablePolynomial
-IsIsomorphismMatrixField
-IsGaloisGroupOnRoots
+HasIsSeparablePolynomial
+HasIsomorphismMatrixField
+HasGaloisGroupOnRoots
 IsAffineCrystGroupOnRight
-IsIsAffineCrystGroupOnRight
+HasIsAffineCrystGroupOnRight
 IsAffineCrystGroupOnLeft
-IsIsAffineCrystGroupOnLeft
+HasIsAffineCrystGroupOnLeft
 IsAffineCrystGroupOnLeftOrRight
-IsIsAffineCrystGroupOnLeftOrRight
+HasIsAffineCrystGroupOnLeftOrRight
 IsSpaceGroup
-IsIsSpaceGroup
+HasIsSpaceGroup
 IsStandardAffineCrystGroup
-IsIsStandardAffineCrystGroup
+HasIsStandardAffineCrystGroup
 IsSymmorphicSpaceGroup
-IsIsSymmorphicSpaceGroup
-IsPointGroup
-IsIsPointGroup
-IsNormalizerPointGroupInGLnZ
-IsCentralizerPointGroupInGLnZ
-IsAffineCrystGroupOfPointGroup
+HasIsSymmorphicSpaceGroup
 IsPointGroup
+HasIsPointGroup
+HasNormalizerPointGroupInGLnZ
+HasCentralizerPointGroupInGLnZ
+HasAffineCrystGroupOfPointGroup
+HasPointGroup
+HasPointHomomorphism
+HasTranslationBasis
+HasInternalBasis
+HasTransParts
+HasTranslationNormalizer
+HasAffineNormalizer
 IsPointHomomorphism
-IsTranslationBasis
-IsInternalBasis
-IsTransParts
-IsTranslationNormalizer
-IsAffineNormalizer
-IsPointHomomorphism
-IsIsPointHomomorphism
-IsNiceToCryst
+HasIsPointHomomorphism
+HasNiceToCryst
 IsFromAffineCrystGroupToFpGroup
-IsIsFromAffineCrystGroupToFpGroup
+HasIsFromAffineCrystGroupToFpGroup
 IsFromAffineCrystGroupToPcpGroup
-IsIsFromAffineCrystGroupToPcpGroup
+HasIsFromAffineCrystGroupToPcpGroup
 IsWyckoffPosition
-IsWyckoffStabilizer
-IsWyckoffOrbit
-IsWyckoffPositions
+HasWyckoffStabilizer
+HasWyckoffOrbit
+HasWyckoffPositions
 IsWyckoffGraph
-IsCocVecs
+HasCocVecs
 IsColorGroup
-IsIsColorGroup
-IsColorSubgroup
-IsColorCosetList
-IsColorPermGroup
-IsColorHomomorphism
-IsCrystCatRecord
+HasIsColorGroup
+HasColorSubgroup
+HasColorCosetList
+HasColorPermGroup
+HasColorHomomorphism
+HasCrystCatRecord
 IsAlmostCrystallographic
-IsIsAlmostCrystallographic
+HasIsAlmostCrystallographic
 IsAlmostBieberbachGroup
-IsIsAlmostBieberbachGroup
-IsAlmostCrystallographicInfo
-IsNaturalHomomorphismOnHolonomyGroup
-IsHolonomyGroup
-IsOrientationModule
-IsBettiNumbers
+HasIsAlmostBieberbachGroup
+HasAlmostCrystallographicInfo
+HasNaturalHomomorphismOnHolonomyGroup
+HasHolonomyGroup
+HasOrientationModule
+HasBettiNumbers
 IsIsomorphismByFinitePolycyclicMatrixGroup
-IsIsIsomorphismByFinitePolycyclicMatrixGroup
+HasIsIsomorphismByFinitePolycyclicMatrixGroup
 IsIsomorphismByPolycyclicMatrixGroup
-IsIsIsomorphismByPolycyclicMatrixGroup
+HasIsIsomorphismByPolycyclicMatrixGroup
 IsTriangularizableMatGroup
-IsIsTriangularizableMatGroup
-IsUpperFittingSeries
-IsLowerFittingSeries
-IsFittingLength
+HasIsTriangularizableMatGroup
+HasUpperFittingSeries
+HasLowerFittingSeries
+HasFittingLength
 IsZ_pi
-IsIsZ_pi
-IsNoninvertiblePrimes
+HasIsZ_pi
+HasNoninvertiblePrimes
 IsResidueClassUnion
 IsResidueClassUnionOfZ
 IsResidueClassUnionOfZxZ
@@ -2452,12 +2452,12 @@ IsResidueClassUnionResidueListRep
 IsResidueClassUnionClassListRep
 IsResidueClassUnionsIteratorRep
 IsResidueClass
-IsIsResidueClass
-IsUnderlyingIndeterminate
+HasIsResidueClass
+HasUnderlyingIndeterminate
 IsZxZ
-IsIsZxZ
-IsSizeOfSmallestResidueClassRing
-IsDensity
+HasIsZxZ
+HasSizeOfSmallestResidueClassRing
+HasDensity
 IsUnionOfResidueClassesWithFixedRepresentatives
 IsUnionOfResidueClassesOfZWithFixedRepresentatives
 IsUnionOfResidueClassesOfZ_piWithFixedRepresentatives
@@ -2465,10 +2465,10 @@ IsUnionOfResidueClassesOfGFqxWithFixedRepresentatives
 IsUnionOfResidueClassesOfZorZ_piWithFixedRepresentatives
 IsUnionOfResidueClassesWithFixedRepsStandardRep
 IsResidueClassWithFixedRepresentative
-IsIsResidueClassWithFixedRepresentative
+HasIsResidueClassWithFixedRepresentative
 IsOverlappingFree
-IsIsOverlappingFree
-IsRho
+HasIsOverlappingFree
+HasRho
 Name
 InfoText
 String
@@ -3844,13 +3844,13 @@ in
 ShallowCopy
 Name
 SetName
-IsName
+HasName
 InfoText
 SetInfoText
-IsInfoText
+HasInfoText
 String
 SetString
-IsString
+HasString
 PrintObj
 PrintString
 Display
@@ -3858,7 +3858,7 @@ DisplayString
 IsInternallyConsistent
 IsImpossible
 SetIsImpossible
-IsIsImpossible
+HasIsImpossible
 ExtRepOfObj
 ObjByExtRep
 KnownAttributesOfObject
@@ -3871,10 +3871,10 @@ MemoryUsage
 FlushCaches
 CollectionsFamily
 SetCollectionsFamily
-IsCollectionsFamily
+HasCollectionsFamily
 ElementsFamily
 SetElementsFamily
-IsElementsFamily
+HasElementsFamily
 UseSubsetRelation
 UseIsomorphismRelation
 UseFactorRelation
@@ -3884,54 +3884,54 @@ IsDoneIterator
 NextIterator
 IsEmpty
 SetIsEmpty
-IsIsEmpty
+HasIsEmpty
 IsTrivial
 SetIsTrivial
-IsIsTrivial
+HasIsTrivial
 IsNonTrivial
 SetIsNonTrivial
-IsIsNonTrivial
+HasIsNonTrivial
 IsFinite
 SetIsFinite
-IsIsFinite
+HasIsFinite
 IsWholeFamily
 SetIsWholeFamily
-IsIsWholeFamily
+HasIsWholeFamily
 Size
 SetSize
-IsSize
+HasSize
 Representative
 SetRepresentative
-IsRepresentative
+HasRepresentative
 RepresentativeSmallest
 SetRepresentativeSmallest
-IsRepresentativeSmallest
+HasRepresentativeSmallest
 Random
 PseudoRandom
 PseudoRandomSeed
 SetPseudoRandomSeed
-IsPseudoRandomSeed
+HasPseudoRandomSeed
 Enumerator
 SetEnumerator
-IsEnumerator
+HasEnumerator
 EnumeratorSorted
 SetEnumeratorSorted
-IsEnumeratorSorted
+HasEnumeratorSorted
 UnderlyingCollection
 SetUnderlyingCollection
-IsUnderlyingCollection
+HasUnderlyingCollection
 ListOp
 SortedList
 SSortedList
 AsList
 SetAsList
-IsAsList
+HasAsList
 AsSortedList
 SetAsSortedList
-IsAsSortedList
+HasAsSortedList
 AsSSortedList
 SetAsSSortedList
-IsAsSSortedList
+HasAsSSortedList
 AsSSortedListNonstored
 SumOp
 ProductOp
@@ -3945,25 +3945,25 @@ Union2
 Difference
 CanEasilyCompareElements
 SetCanEasilyCompareElements
-IsCanEasilyCompareElements
+HasCanEasilyCompareElements
 CanEasilySortElements
 SetCanEasilySortElements
-IsCanEasilySortElements
+HasCanEasilySortElements
 CanComputeIsSubset
 Randomizer
 CheapRandomizer
 RandomizerAttr
 SetRandomizerAttr
-IsRandomizerAttr
+HasRandomizerAttr
 CheapRandomizerAttr
 SetCheapRandomizerAttr
-IsCheapRandomizerAttr
+HasCheapRandomizerAttr
 IsSmallList
 SetIsSmallList
-IsIsSmallList
+HasIsSmallList
 Length
 SetLENGTH
-IsLENGTH
+HasLENGTH
 IsBound[]
 []
 {}
@@ -3973,23 +3973,23 @@ Unbind[]
 {}:=
 ConstantTimeAccessList
 SetConstantTimeAccessList
-IsConstantTimeAccessList
+HasConstantTimeAccessList
 AsPlist
 IsSortedList
 SetIsSortedList
-IsIsSortedList
+HasIsSortedList
 IsSSortedList
 SetIS_SSORT_LIST
-IsIS_SSORT_LIST
+HasIS_SSORT_LIST
 IsNSortedList
 SetIS_NSORT_LIST
-IsIS_NSORT_LIST
+HasIS_NSORT_LIST
 IsDuplicateFree
 SetIsDuplicateFree
-IsIsDuplicateFree
+HasIsDuplicateFree
 IsPositionsList
 SetIS_POSS_LIST
-IsIS_POSS_LIST
+HasIS_POSS_LIST
 Position
 PositionsOp
 PositionCanonical
@@ -4008,7 +4008,7 @@ Collected
 DuplicateFreeList
 AsDuplicateFreeList
 SetAsDuplicateFreeList
-IsAsDuplicateFreeList
+HasAsDuplicateFreeList
 DifferenceLists
 Flat
 ReversedOp
@@ -4020,7 +4020,7 @@ StableSortBy
 Sortex
 SortingPerm
 SetSortingPerm
-IsSortingPerm
+HasSortingPerm
 SortParallel
 StableSortParallel
 MaximumList
@@ -4033,37 +4033,37 @@ PositionNot
 PositionNonZero
 NestingDepthA
 SetNestingDepthA
-IsNestingDepthA
+HasNestingDepthA
 NestingDepthM
 SetNestingDepthM
-IsNestingDepthM
+HasNestingDepthM
 IsZero
 SetIsZero
-IsIsZero
+HasIsZero
 IsOne
 SetIsOne
-IsIsOne
+HasIsOne
 ZeroImmutable
 SetZeroImmutable
-IsZeroImmutable
+HasZeroImmutable
 ZeroMutable
 ZeroSameMutability
 +
 AdditiveInverseImmutable
 SetAdditiveInverseImmutable
-IsAdditiveInverseImmutable
+HasAdditiveInverseImmutable
 AdditiveInverseMutable
 AdditiveInverseSameMutability
 -
 *
 OneImmutable
 SetOneImmutable
-IsOneImmutable
+HasOneImmutable
 OneMutable
 OneSameMutability
 InverseImmutable
 SetInverseImmutable
-IsInverseImmutable
+HasInverseImmutable
 InverseMutable
 InverseSameMutability
 /
@@ -4074,70 +4074,70 @@ LieBracket
 mod
 Int
 SetInt
-IsInt
+HasInt
 Rat
 SetRat
-IsRat
+HasRat
 Sqrt
 Root
 Log
 Characteristic
 SetCharacteristic
-IsCharacteristic
+HasCharacteristic
 Order
 SetOrder
-IsOrder
+HasOrder
 NormedRowVector
 SetNormedRowVector
-IsNormedRowVector
+HasNormedRowVector
 IsCommutativeFamily
 SetIsCommutativeFamily
-IsIsCommutativeFamily
+HasIsCommutativeFamily
 IsSkewFieldFamily
 SetIsSkewFieldFamily
-IsIsSkewFieldFamily
+HasIsSkewFieldFamily
 IsUFDFamily
 SetIsUFDFamily
-IsIsUFDFamily
+HasIsUFDFamily
 AdditiveElementsAsMultiplicativeElementsFamily
 SetAdditiveElementsAsMultiplicativeElementsFamily
-IsAdditiveElementsAsMultiplicativeElementsFamily
+HasAdditiveElementsAsMultiplicativeElementsFamily
 AdditiveElementAsMultiplicativeElement
 SetAdditiveElementAsMultiplicativeElement
-IsAdditiveElementAsMultiplicativeElement
+HasAdditiveElementAsMultiplicativeElement
 UnderlyingElement
 IsIdempotent
 SetIsIdempotent
-IsIsIdempotent
+HasIsIdempotent
 LargeGaloisField
 DegreeFFE
 SetDegreeFFE
-IsDegreeFFE
+HasDegreeFFE
 LogFFE
 IntFFE
 SetIntFFE
-IsIntFFE
+HasIntFFE
 IntFFESymm
 SetIntFFESymm
-IsIntFFESymm
+HasIntFFESymm
 IntVecFFE
 AsInternalFFE
 SetAsInternalFFE
-IsAsInternalFFE
+HasAsInternalFFE
 RootFFE
 GeneratorsOfDomain
 SetGeneratorsOfDomain
-IsGeneratorsOfDomain
+HasGeneratorsOfDomain
 DomainByGenerators
 ParentAttr
 SetParentAttr
-IsParentAttr
+HasParentAttr
 IsIntegralCyclotomic
 SetIsIntegralCyclotomic
-IsIsIntegralCyclotomic
+HasIsIntegralCyclotomic
 Conductor
 SetCONDUCTOR
-IsCONDUCTOR
+HasCONDUCTOR
 GaloisCyc
 IsEqualSet
 IsSubsetSet
@@ -4152,7 +4152,7 @@ IsBound.
 Unbind.
 RecNames
 SetRecNames
-IsRecNames
+HasRecNames
 SUM_FFE_LARGE
 DIFF_FFE_LARGE
 PROD_FFE_LARGE
@@ -4160,28 +4160,28 @@ QUO_FFE_LARGE
 ZOp
 IsRectangularTable
 SetIsRectangularTable
-IsIsRectangularTable
+HasIsRectangularTable
 SmallestGeneratorPerm
 SetSmallestGeneratorPerm
-IsSmallestGeneratorPerm
+HasSmallestGeneratorPerm
 SmallestMovedPoint
 SetSmallestMovedPoint
-IsSmallestMovedPoint
+HasSmallestMovedPoint
 LargestMovedPoint
 SetLargestMovedPoint
-IsLargestMovedPoint
+HasLargestMovedPoint
 NrMovedPoints
 SetNrMovedPoints
-IsNrMovedPoints
+HasNrMovedPoints
 MovedPoints
 SetMovedPoints
-IsMovedPoints
+HasMovedPoints
 SignPerm
 SetSignPerm
-IsSignPerm
+HasSignPerm
 CycleStructurePerm
 SetCycleStructurePerm
-IsCycleStructurePerm
+HasCycleStructurePerm
 RestrictedPerm
 RestrictedPermNC
 DistancePerms
@@ -4251,148 +4251,148 @@ NewFloat
 MakeFloat
 Cos
 SetCos
-IsCos
+HasCos
 Sin
 SetSin
-IsSin
+HasSin
 Tan
 SetTan
-IsTan
+HasTan
 Sec
 SetSec
-IsSec
+HasSec
 Csc
 SetCsc
-IsCsc
+HasCsc
 Cot
 SetCot
-IsCot
+HasCot
 Asin
 SetAsin
-IsAsin
+HasAsin
 Acos
 SetAcos
-IsAcos
+HasAcos
 Atan
 SetAtan
-IsAtan
+HasAtan
 Cosh
 SetCosh
-IsCosh
+HasCosh
 Sinh
 SetSinh
-IsSinh
+HasSinh
 Tanh
 SetTanh
-IsTanh
+HasTanh
 Sech
 SetSech
-IsSech
+HasSech
 Csch
 SetCsch
-IsCsch
+HasCsch
 Coth
 SetCoth
-IsCoth
+HasCoth
 Asinh
 SetAsinh
-IsAsinh
+HasAsinh
 Acosh
 SetAcosh
-IsAcosh
+HasAcosh
 Atanh
 SetAtanh
-IsAtanh
+HasAtanh
 Log2
 SetLog2
-IsLog2
+HasLog2
 Log10
 SetLog10
-IsLog10
+HasLog10
 Log1p
 SetLog1p
-IsLog1p
+HasLog1p
 Exp
 SetExp
-IsExp
+HasExp
 Exp2
 SetExp2
-IsExp2
+HasExp2
 Exp10
 SetExp10
-IsExp10
+HasExp10
 Expm1
 SetExpm1
-IsExpm1
+HasExpm1
 CubeRoot
 SetCubeRoot
-IsCubeRoot
+HasCubeRoot
 Square
 SetSquare
-IsSquare
+HasSquare
 Ceil
 SetCeil
-IsCeil
+HasCeil
 Floor
 SetFloor
-IsFloor
+HasFloor
 Round
 SetRound
-IsRound
+HasRound
 Trunc
 SetTrunc
-IsTrunc
+HasTrunc
 Atan2
 FrExp
 SetFrExp
-IsFrExp
+HasFrExp
 LdExp
 Argument
 SetArgument
-IsArgument
+HasArgument
 AbsoluteValue
 SetAbsoluteValue
-IsAbsoluteValue
+HasAbsoluteValue
 Hypothenuse
 Frac
 SetFrac
-IsFrac
+HasFrac
 SinCos
 SetSinCos
-IsSinCos
+HasSinCos
 Erf
 SetErf
-IsErf
+HasErf
 Zeta
 SetZeta
-IsZeta
+HasZeta
 Gamma
 SetGamma
-IsGamma
+HasGamma
 ComplexI
 SetComplexI
-IsComplexI
+HasComplexI
 PrecisionFloat
 SetPrecisionFloat
-IsPrecisionFloat
+HasPrecisionFloat
 SignFloat
 SetSignFloat
-IsSignFloat
+HasSignFloat
 Sup
 SetSup
-IsSup
+HasSup
 Inf
 SetInf
-IsInf
+HasInf
 Mid
 SetMid
-IsMid
+HasMid
 AbsoluteDiameter
 SetAbsoluteDiameter
-IsAbsoluteDiameter
+HasAbsoluteDiameter
 RelativeDiameter
 SetRelativeDiameter
-IsRelativeDiameter
+HasRelativeDiameter
 Overlaps
 IsDisjoint
 EqFloat
@@ -4401,54 +4401,54 @@ BlowupInterval
 BisectInterval
 IsPInfinity
 SetIsPInfinity
-IsIsPInfinity
+HasIsPInfinity
 IsNInfinity
 SetIsNInfinity
-IsIsNInfinity
+HasIsNInfinity
 IsXInfinity
 SetIsXInfinity
-IsIsXInfinity
+HasIsXInfinity
 IsNaN
 SetIsNaN
-IsIsNaN
+HasIsNaN
 Cyc
 Process
 DirectProductElementsFamily
 ComponentsOfDirectProductElementsFamily
 SetComponentsOfDirectProductElementsFamily
-IsComponentsOfDirectProductElementsFamily
+HasComponentsOfDirectProductElementsFamily
 DirectProductElement
 DirectProductElementNC
 EmptyRowVector
 SetEmptyRowVector
-IsEmptyRowVector
+HasEmptyRowVector
 GeneratorsOfExtASet
 SetGeneratorsOfExtASet
-IsGeneratorsOfExtASet
+HasGeneratorsOfExtASet
 AdditivelyActingDomain
 SetAdditivelyActingDomain
-IsAdditivelyActingDomain
+HasAdditivelyActingDomain
 IsLeftActedOnByDivisionRing
 SetIsLeftActedOnByDivisionRing
-IsIsLeftActedOnByDivisionRing
+HasIsLeftActedOnByDivisionRing
 GeneratorsOfExtLSet
 SetGeneratorsOfExtLSet
-IsGeneratorsOfExtLSet
+HasGeneratorsOfExtLSet
 LeftActingDomain
 SetLeftActingDomain
-IsLeftActingDomain
+HasLeftActingDomain
 GeneratorsOfExtRSet
 SetGeneratorsOfExtRSet
-IsGeneratorsOfExtRSet
+HasGeneratorsOfExtRSet
 RightActingDomain
 SetRightActingDomain
-IsRightActingDomain
+HasRightActingDomain
 GeneratorsOfExtUSet
 SetGeneratorsOfExtUSet
-IsGeneratorsOfExtUSet
+HasGeneratorsOfExtUSet
 UpperActingDomain
 SetUpperActingDomain
-IsUpperActingDomain
+HasUpperActingDomain
 KnowsDictionary
 AddDictionary
 RemoveDictionary
@@ -4464,55 +4464,55 @@ SetHashEntryAtLastIndex
 SetHashEntry
 FamilyRange
 SetFamilyRange
-IsFamilyRange
+HasFamilyRange
 FamilySource
 SetFamilySource
-IsFamilySource
+HasFamilySource
 FamiliesOfGeneralMappingsAndRanges
 SetFamiliesOfGeneralMappingsAndRanges
-IsFamiliesOfGeneralMappingsAndRanges
+HasFamiliesOfGeneralMappingsAndRanges
 IsConstantTimeAccessGeneralMapping
 SetIsConstantTimeAccessGeneralMapping
-IsIsConstantTimeAccessGeneralMapping
+HasIsConstantTimeAccessGeneralMapping
 IsEndoGeneralMapping
 SetIsEndoGeneralMapping
-IsIsEndoGeneralMapping
+HasIsEndoGeneralMapping
 IsTotal
 SetIsTotal
-IsIsTotal
+HasIsTotal
 IsSingleValued
 SetIsSingleValued
-IsIsSingleValued
+HasIsSingleValued
 IsInjective
 SetIsInjective
-IsIsInjective
+HasIsInjective
 IsSurjective
 SetIsSurjective
-IsIsSurjective
+HasIsSurjective
 Range
 SetRange
-IsRange
+HasRange
 Source
 SetSource
-IsSource
+HasSource
 UnderlyingRelation
 SetUnderlyingRelation
-IsUnderlyingRelation
+HasUnderlyingRelation
 UnderlyingGeneralMapping
 SetUnderlyingGeneralMapping
-IsUnderlyingGeneralMapping
+HasUnderlyingGeneralMapping
 IdentityMapping
 SetIdentityMapping
-IsIdentityMapping
+HasIdentityMapping
 InverseGeneralMapping
 SetInverseGeneralMapping
-IsInverseGeneralMapping
+HasInverseGeneralMapping
 ImagesSource
 SetImagesSource
-IsImagesSource
+HasImagesSource
 PreImagesRange
 SetPreImagesRange
-IsPreImagesRange
+HasPreImagesRange
 ImagesElm
 ImagesRepresentative
 ImagesSet
@@ -4528,117 +4528,117 @@ Embedding
 Projection
 MappingGeneratorsImages
 SetMappingGeneratorsImages
-IsMappingGeneratorsImages
+HasMappingGeneratorsImages
 RespectsMultiplication
 SetRespectsMultiplication
-IsRespectsMultiplication
+HasRespectsMultiplication
 RespectsOne
 SetRespectsOne
-IsRespectsOne
+HasRespectsOne
 RespectsInverses
 SetRespectsInverses
-IsRespectsInverses
+HasRespectsInverses
 KernelOfMultiplicativeGeneralMapping
 SetKernelOfMultiplicativeGeneralMapping
-IsKernelOfMultiplicativeGeneralMapping
+HasKernelOfMultiplicativeGeneralMapping
 CoKernelOfMultiplicativeGeneralMapping
 SetCoKernelOfMultiplicativeGeneralMapping
-IsCoKernelOfMultiplicativeGeneralMapping
+HasCoKernelOfMultiplicativeGeneralMapping
 RespectsAddition
 SetRespectsAddition
-IsRespectsAddition
+HasRespectsAddition
 RespectsZero
 SetRespectsZero
-IsRespectsZero
+HasRespectsZero
 RespectsAdditiveInverses
 SetRespectsAdditiveInverses
-IsRespectsAdditiveInverses
+HasRespectsAdditiveInverses
 KernelOfAdditiveGeneralMapping
 SetKernelOfAdditiveGeneralMapping
-IsKernelOfAdditiveGeneralMapping
+HasKernelOfAdditiveGeneralMapping
 CoKernelOfAdditiveGeneralMapping
 SetCoKernelOfAdditiveGeneralMapping
-IsCoKernelOfAdditiveGeneralMapping
+HasCoKernelOfAdditiveGeneralMapping
 RespectsScalarMultiplication
 SetRespectsScalarMultiplication
-IsRespectsScalarMultiplication
+HasRespectsScalarMultiplication
 IsLinearMapping
 IsFieldHomomorphism
 SetIsFieldHomomorphism
-IsIsFieldHomomorphism
+HasIsFieldHomomorphism
 TransformsMultiplicationIntoAddition
 SetTransformsMultiplicationIntoAddition
-IsTransformsMultiplicationIntoAddition
+HasTransformsMultiplicationIntoAddition
 TranformsOneIntoZero
 SetTranformsOneIntoZero
-IsTranformsOneIntoZero
+HasTranformsOneIntoZero
 TransformsInversesIntoAdditiveInverses
 SetTransformsInversesIntoAdditiveInverses
-IsTransformsInversesIntoAdditiveInverses
+HasTransformsInversesIntoAdditiveInverses
 TransformsAdditionIntoMultiplication
 SetTransformsAdditionIntoMultiplication
-IsTransformsAdditionIntoMultiplication
+HasTransformsAdditionIntoMultiplication
 TransformsZeroIntoOne
 SetTransformsZeroIntoOne
-IsTransformsZeroIntoOne
+HasTransformsZeroIntoOne
 TransformsAdditiveInversesIntoInverses
 SetTransformsAdditiveInversesIntoInverses
-IsTransformsAdditiveInversesIntoInverses
+HasTransformsAdditiveInversesIntoInverses
 Successors
 SetSuccessors
-IsSuccessors
+HasSuccessors
 DegreeOfBinaryRelation
 SetDegreeOfBinaryRelation
-IsDegreeOfBinaryRelation
+HasDegreeOfBinaryRelation
 IsReflexiveBinaryRelation
 SetIsReflexiveBinaryRelation
-IsIsReflexiveBinaryRelation
+HasIsReflexiveBinaryRelation
 IsSymmetricBinaryRelation
 SetIsSymmetricBinaryRelation
-IsIsSymmetricBinaryRelation
+HasIsSymmetricBinaryRelation
 IsTransitiveBinaryRelation
 SetIsTransitiveBinaryRelation
-IsIsTransitiveBinaryRelation
+HasIsTransitiveBinaryRelation
 IsAntisymmetricBinaryRelation
 SetIsAntisymmetricBinaryRelation
-IsIsAntisymmetricBinaryRelation
+HasIsAntisymmetricBinaryRelation
 IsPreOrderBinaryRelation
 SetIsPreOrderBinaryRelation
-IsIsPreOrderBinaryRelation
+HasIsPreOrderBinaryRelation
 IsPartialOrderBinaryRelation
 SetIsPartialOrderBinaryRelation
-IsIsPartialOrderBinaryRelation
+HasIsPartialOrderBinaryRelation
 IsLatticeOrderBinaryRelation
 SetIsLatticeOrderBinaryRelation
-IsIsLatticeOrderBinaryRelation
+HasIsLatticeOrderBinaryRelation
 IsEquivalenceRelation
 SetIsEquivalenceRelation
-IsIsEquivalenceRelation
+HasIsEquivalenceRelation
 ReflexiveClosureBinaryRelation
 SymmetricClosureBinaryRelation
 TransitiveClosureBinaryRelation
 HasseDiagramBinaryRelation
 IsHasseDiagram
 SetIsHasseDiagram
-IsIsHasseDiagram
+HasIsHasseDiagram
 PartialOrderOfHasseDiagram
 SetPartialOrderOfHasseDiagram
-IsPartialOrderOfHasseDiagram
+HasPartialOrderOfHasseDiagram
 StronglyConnectedComponents
 EquivalenceRelationPartition
 SetEquivalenceRelationPartition
-IsEquivalenceRelationPartition
+HasEquivalenceRelationPartition
 GeneratorsOfEquivalenceRelationPartition
 SetGeneratorsOfEquivalenceRelationPartition
-IsGeneratorsOfEquivalenceRelationPartition
+HasGeneratorsOfEquivalenceRelationPartition
 JoinEquivalenceRelations
 MeetEquivalenceRelations
 EquivalenceClassRelation
 SetEquivalenceClassRelation
-IsEquivalenceClassRelation
+HasEquivalenceClassRelation
 EquivalenceClasses
 SetEquivalenceClasses
-IsEquivalenceClasses
+HasEquivalenceClasses
 EquivalenceClassOfElement
 EquivalenceClassOfElementNC
 MagmaByGenerators
@@ -4646,48 +4646,48 @@ MagmaWithOneByGenerators
 MagmaWithInversesByGenerators
 AsMagma
 SetAsMagma
-IsAsMagma
+HasAsMagma
 AsSubmagma
 GeneratorsOfMagma
 SetGeneratorsOfMagma
-IsGeneratorsOfMagma
+HasGeneratorsOfMagma
 GeneratorsOfMagmaWithOne
 SetGeneratorsOfMagmaWithOne
-IsGeneratorsOfMagmaWithOne
+HasGeneratorsOfMagmaWithOne
 GeneratorsOfMagmaWithInverses
 SetGeneratorsOfMagmaWithInverses
-IsGeneratorsOfMagmaWithInverses
+HasGeneratorsOfMagmaWithInverses
 IsGeneratorsOfMagmaWithInverses
 SetIsGeneratorsOfMagmaWithInverses
-IsIsGeneratorsOfMagmaWithInverses
+HasIsGeneratorsOfMagmaWithInverses
 TrivialSubmagmaWithOne
 SetTrivialSubmagmaWithOne
-IsTrivialSubmagmaWithOne
+HasTrivialSubmagmaWithOne
 IsAssociative
 SetIsAssociative
-IsIsAssociative
+HasIsAssociative
 IsCommutative
 SetIsCommutative
-IsIsCommutative
+HasIsCommutative
 MultiplicativeNeutralElement
 SetMultiplicativeNeutralElement
-IsMultiplicativeNeutralElement
+HasMultiplicativeNeutralElement
 Centre
 SetCentre
-IsCentre
+HasCentre
 Idempotents
 SetIdempotents
-IsIdempotents
+HasIdempotents
 IsCentral
 CentralizerOp
 CentralizerInParent
 SetCentralizerInParent
-IsCentralizerInParent
+HasCentralizerInParent
 Centralizer
 SquareRoots
 MagmaGeneratorsOfFamily
 SetMagmaGeneratorsOfFamily
-IsMagmaGeneratorsOfFamily
+HasMagmaGeneratorsOfFamily
 AsLeftMagmaIdeal
 LeftMagmaIdealByGenerators
 AsRightMagmaIdeal
@@ -4695,38 +4695,38 @@ RightMagmaIdealByGenerators
 AsMagmaIdeal
 GeneratorsOfMagmaIdeal
 SetGeneratorsOfMagmaIdeal
-IsGeneratorsOfMagmaIdeal
+HasGeneratorsOfMagmaIdeal
 MagmaIdealByGenerators
 NaturalHomomorphismByGenerators
 MultiplicativeZeroOp
 MultiplicativeZero
 SetMultiplicativeZero
-IsMultiplicativeZero
+HasMultiplicativeZero
 IsMultiplicativeZero
 InjectionZeroMagma
 SetInjectionZeroMagma
-IsInjectionZeroMagma
+HasInjectionZeroMagma
 MagmaWithZeroAdjoined
 SetMagmaWithZeroAdjoined
-IsMagmaWithZeroAdjoined
+HasMagmaWithZeroAdjoined
 UnderlyingInjectionZeroMagma
 SetUnderlyingInjectionZeroMagma
-IsUnderlyingInjectionZeroMagma
+HasUnderlyingInjectionZeroMagma
 GeneratingPairsOfLeftMagmaCongruence
 SetGeneratingPairsOfLeftMagmaCongruence
-IsGeneratingPairsOfLeftMagmaCongruence
+HasGeneratingPairsOfLeftMagmaCongruence
 PartialClosureOfCongruence
 SetPartialClosureOfCongruence
-IsPartialClosureOfCongruence
+HasPartialClosureOfCongruence
 LeftMagmaCongruenceByGeneratingPairs
 GeneratingPairsOfRightMagmaCongruence
 SetGeneratingPairsOfRightMagmaCongruence
-IsGeneratingPairsOfRightMagmaCongruence
+HasGeneratingPairsOfRightMagmaCongruence
 RightMagmaCongruenceByGeneratingPairs
 MagmaCongruenceByGeneratingPairs
 GeneratingPairsOfMagmaCongruence
 SetGeneratingPairsOfMagmaCongruence
-IsGeneratingPairsOfMagmaCongruence
+HasGeneratingPairsOfMagmaCongruence
 JoinMagmaCongruences
 MeetMagmaCongruences
 SemigroupCongruenceByGeneratingPairs
@@ -4734,46 +4734,46 @@ RightSemigroupCongruenceByGeneratingPairs
 LeftSemigroupCongruenceByGeneratingPairs
 IsLeftSemigroupCongruence
 SetIsLeftSemigroupCongruence
-IsIsLeftSemigroupCongruence
+HasIsLeftSemigroupCongruence
 IsRightSemigroupCongruence
 SetIsRightSemigroupCongruence
-IsIsRightSemigroupCongruence
+HasIsRightSemigroupCongruence
 IsSemigroupCongruence
 SetIsSemigroupCongruence
-IsIsSemigroupCongruence
+HasIsSemigroupCongruence
 IsReesCongruence
 SetIsReesCongruence
-IsIsReesCongruence
+HasIsReesCongruence
 InversesOfSemigroupElement
 SemigroupByGenerators
 AsSemigroup
 SetAsSemigroup
-IsAsSemigroup
+HasAsSemigroup
 AsSubsemigroup
 IsGeneratorsOfSemigroup
 SetIsGeneratorsOfSemigroup
-IsIsGeneratorsOfSemigroup
+HasIsGeneratorsOfSemigroup
 CayleyGraphSemigroup
 SetCayleyGraphSemigroup
-IsCayleyGraphSemigroup
+HasCayleyGraphSemigroup
 CayleyGraphDualSemigroup
 SetCayleyGraphDualSemigroup
-IsCayleyGraphDualSemigroup
+HasCayleyGraphDualSemigroup
 IsZeroGroup
 SetIsZeroGroup
-IsIsZeroGroup
+HasIsZeroGroup
 IsSimpleSemigroup
 SetIsSimpleSemigroup
-IsIsSimpleSemigroup
+HasIsSimpleSemigroup
 IsZeroSimpleSemigroup
 SetIsZeroSimpleSemigroup
-IsIsZeroSimpleSemigroup
+HasIsZeroSimpleSemigroup
 ANonReesCongruenceOfSemigroup
 SetANonReesCongruenceOfSemigroup
-IsANonReesCongruenceOfSemigroup
+HasANonReesCongruenceOfSemigroup
 IsReesCongruenceSemigroup
 SetIsReesCongruenceSemigroup
-IsIsReesCongruenceSemigroup
+HasIsReesCongruenceSemigroup
 HomomorphismFactorSemigroup
 HomomorphismFactorSemigroupByClosure
 FactorSemigroup
@@ -4781,305 +4781,305 @@ FactorSemigroupByClosure
 IsRegularSemigroupElement
 IsRegularSemigroup
 SetIsRegularSemigroup
-IsIsRegularSemigroup
+HasIsRegularSemigroup
 IsInverseSemigroup
 SetIsInverseSemigroup
-IsIsInverseSemigroup
+HasIsInverseSemigroup
 DisplaySemigroup
 NilpotencyDegree
 SetNilpotencyDegree
-IsNilpotencyDegree
+HasNilpotencyDegree
 IsSubsemigroup
 IsBand
 SetIsBand
-IsIsBand
+HasIsBand
 IsBrandtSemigroup
 SetIsBrandtSemigroup
-IsIsBrandtSemigroup
+HasIsBrandtSemigroup
 IsCliffordSemigroup
 SetIsCliffordSemigroup
-IsIsCliffordSemigroup
+HasIsCliffordSemigroup
 IsCommutativeSemigroup
 SetIsCommutativeSemigroup
-IsIsCommutativeSemigroup
+HasIsCommutativeSemigroup
 IsCompletelyRegularSemigroup
 SetIsCompletelyRegularSemigroup
-IsIsCompletelyRegularSemigroup
+HasIsCompletelyRegularSemigroup
 IsCompletelySimpleSemigroup
 SetIsCompletelySimpleSemigroup
-IsIsCompletelySimpleSemigroup
+HasIsCompletelySimpleSemigroup
 IsGroupAsSemigroup
 SetIsGroupAsSemigroup
-IsIsGroupAsSemigroup
+HasIsGroupAsSemigroup
 IsIdempotentGenerated
 SetIsIdempotentGenerated
-IsIsIdempotentGenerated
+HasIsIdempotentGenerated
 IsLeftZeroSemigroup
 SetIsLeftZeroSemigroup
-IsIsLeftZeroSemigroup
+HasIsLeftZeroSemigroup
 IsMonogenicSemigroup
 SetIsMonogenicSemigroup
-IsIsMonogenicSemigroup
+HasIsMonogenicSemigroup
 IsMonoidAsSemigroup
 SetIsMonoidAsSemigroup
-IsIsMonoidAsSemigroup
+HasIsMonoidAsSemigroup
 IsNilpotentSemigroup
 SetIsNilpotentSemigroup
-IsIsNilpotentSemigroup
+HasIsNilpotentSemigroup
 IsOrthodoxSemigroup
 SetIsOrthodoxSemigroup
-IsIsOrthodoxSemigroup
+HasIsOrthodoxSemigroup
 IsRectangularBand
 SetIsRectangularBand
-IsIsRectangularBand
+HasIsRectangularBand
 IsRightZeroSemigroup
 SetIsRightZeroSemigroup
-IsIsRightZeroSemigroup
+HasIsRightZeroSemigroup
 IsSemiband
 SetIsSemiband
-IsIsSemiband
+HasIsSemiband
 IsSemilattice
 SetIsSemilattice
-IsIsSemilattice
+HasIsSemilattice
 IsZeroSemigroup
 SetIsZeroSemigroup
-IsIsZeroSemigroup
+HasIsZeroSemigroup
 SemigroupViewStringPrefix
 SemigroupViewStringSuffix
 IsLeftSemigroupIdeal
 SetIsLeftSemigroupIdeal
-IsIsLeftSemigroupIdeal
+HasIsLeftSemigroupIdeal
 IsRightSemigroupIdeal
 SetIsRightSemigroupIdeal
-IsIsRightSemigroupIdeal
+HasIsRightSemigroupIdeal
 IsSemigroupIdeal
 SetIsSemigroupIdeal
-IsIsSemigroupIdeal
+HasIsSemigroupIdeal
 ReesCongruenceOfSemigroupIdeal
 SetReesCongruenceOfSemigroupIdeal
-IsReesCongruenceOfSemigroupIdeal
+HasReesCongruenceOfSemigroupIdeal
 MonoidByGenerators
 AsMonoid
 SetAsMonoid
-IsAsMonoid
+HasAsMonoid
 AsSubmonoid
 GroupString
 IsCyclic
 SetIsCyclic
-IsIsCyclic
+HasIsCyclic
 IsElementaryAbelian
 SetIsElementaryAbelian
-IsIsElementaryAbelian
+HasIsElementaryAbelian
 IsFinitelyGeneratedGroup
 SetIsFinitelyGeneratedGroup
-IsIsFinitelyGeneratedGroup
+HasIsFinitelyGeneratedGroup
 IsSubsetLocallyFiniteGroup
 SetIsSubsetLocallyFiniteGroup
-IsIsSubsetLocallyFiniteGroup
+HasIsSubsetLocallyFiniteGroup
 CanComputeIndex
 KnowsHowToDecompose
 SetKnowsHowToDecompose
-IsKnowsHowToDecompose
+HasKnowsHowToDecompose
 IsPGroup
 SetIsPGroup
-IsIsPGroup
+HasIsPGroup
 PrimePGroup
 SetPrimePGroup
-IsPrimePGroup
+HasPrimePGroup
 PClassPGroup
 SetPClassPGroup
-IsPClassPGroup
+HasPClassPGroup
 RankPGroup
 SetRankPGroup
-IsRankPGroup
+HasRankPGroup
 IsNilpotentGroup
 SetIsNilpotentGroup
-IsIsNilpotentGroup
+HasIsNilpotentGroup
 IsPerfectGroup
 SetIsPerfectGroup
-IsIsPerfectGroup
+HasIsPerfectGroup
 IsSporadicSimpleGroup
 SetIsSporadicSimpleGroup
-IsIsSporadicSimpleGroup
+HasIsSporadicSimpleGroup
 IsSimpleGroup
 SetIsSimpleGroup
-IsIsSimpleGroup
+HasIsSimpleGroup
 IsAlmostSimpleGroup
 SetIsAlmostSimpleGroup
-IsIsAlmostSimpleGroup
+HasIsAlmostSimpleGroup
 IsSupersolvableGroup
 SetIsSupersolvableGroup
-IsIsSupersolvableGroup
+HasIsSupersolvableGroup
 IsMonomialGroup
 SetIsMonomialGroup
-IsIsMonomialGroup
+HasIsMonomialGroup
 IsSolvableGroup
 SetIsSolvableGroup
-IsIsSolvableGroup
+HasIsSolvableGroup
 IsPolycyclicGroup
 SetIsPolycyclicGroup
-IsIsPolycyclicGroup
+HasIsPolycyclicGroup
 AbelianInvariants
 SetAbelianInvariants
-IsAbelianInvariants
+HasAbelianInvariants
 IsInfiniteAbelianizationGroup
 SetIsInfiniteAbelianizationGroup
-IsIsInfiniteAbelianizationGroup
+HasIsInfiniteAbelianizationGroup
 AsGroup
 SetAsGroup
-IsAsGroup
+HasAsGroup
 ChiefSeries
 SetChiefSeries
-IsChiefSeries
+HasChiefSeries
 ChiefSeriesUnderAction
 ChiefSeriesThrough
 CommutatorFactorGroup
 SetCommutatorFactorGroup
-IsCommutatorFactorGroup
+HasCommutatorFactorGroup
 CompositionSeries
 SetCompositionSeries
-IsCompositionSeries
+HasCompositionSeries
 ConjugacyClasses
 SetConjugacyClasses
-IsConjugacyClasses
+HasConjugacyClasses
 ConjugacyClassesMaximalSubgroups
 SetConjugacyClassesMaximalSubgroups
-IsConjugacyClassesMaximalSubgroups
+HasConjugacyClassesMaximalSubgroups
 MaximalSubgroups
 SetMaximalSubgroups
-IsMaximalSubgroups
+HasMaximalSubgroups
 MaximalSubgroupClassReps
 SetMaximalSubgroupClassReps
-IsMaximalSubgroupClassReps
+HasMaximalSubgroupClassReps
 PerfectResiduum
 SetPerfectResiduum
-IsPerfectResiduum
+HasPerfectResiduum
 RepresentativesPerfectSubgroups
 SetRepresentativesPerfectSubgroups
-IsRepresentativesPerfectSubgroups
+HasRepresentativesPerfectSubgroups
 RepresentativesSimpleSubgroups
 SetRepresentativesSimpleSubgroups
-IsRepresentativesSimpleSubgroups
+HasRepresentativesSimpleSubgroups
 ConjugacyClassesPerfectSubgroups
 SetConjugacyClassesPerfectSubgroups
-IsConjugacyClassesPerfectSubgroups
+HasConjugacyClassesPerfectSubgroups
 ConjugacyClassesSubgroups
 SetConjugacyClassesSubgroups
-IsConjugacyClassesSubgroups
+HasConjugacyClassesSubgroups
 LatticeSubgroups
 SetLatticeSubgroups
-IsLatticeSubgroups
+HasLatticeSubgroups
 DerivedLength
 SetDerivedLength
-IsDerivedLength
+HasDerivedLength
 HirschLength
 SetHirschLength
-IsHirschLength
+HasHirschLength
 DerivedSeriesOfGroup
 SetDerivedSeriesOfGroup
-IsDerivedSeriesOfGroup
+HasDerivedSeriesOfGroup
 DerivedSubgroup
 SetDerivedSubgroup
-IsDerivedSubgroup
+HasDerivedSubgroup
 MaximalAbelianQuotient
 SetMaximalAbelianQuotient
-IsMaximalAbelianQuotient
+HasMaximalAbelianQuotient
 CommutatorLength
 SetCommutatorLength
-IsCommutatorLength
+HasCommutatorLength
 DimensionsLoewyFactors
 SetDimensionsLoewyFactors
-IsDimensionsLoewyFactors
+HasDimensionsLoewyFactors
 ElementaryAbelianSeries
 SetElementaryAbelianSeries
-IsElementaryAbelianSeries
+HasElementaryAbelianSeries
 ElementaryAbelianSeriesLargeSteps
 SetElementaryAbelianSeriesLargeSteps
-IsElementaryAbelianSeriesLargeSteps
+HasElementaryAbelianSeriesLargeSteps
 Exponent
 SetExponent
-IsExponent
+HasExponent
 FittingSubgroup
 SetFittingSubgroup
-IsFittingSubgroup
+HasFittingSubgroup
 PrefrattiniSubgroup
 SetPrefrattiniSubgroup
-IsPrefrattiniSubgroup
+HasPrefrattiniSubgroup
 FrattiniSubgroup
 SetFrattiniSubgroup
-IsFrattiniSubgroup
+HasFrattiniSubgroup
 InvariantForm
 SetInvariantForm
-IsInvariantForm
+HasInvariantForm
 JenningsSeries
 SetJenningsSeries
-IsJenningsSeries
+HasJenningsSeries
 LowerCentralSeriesOfGroup
 SetLowerCentralSeriesOfGroup
-IsLowerCentralSeriesOfGroup
+HasLowerCentralSeriesOfGroup
 NilpotencyClassOfGroup
 SetNilpotencyClassOfGroup
-IsNilpotencyClassOfGroup
+HasNilpotencyClassOfGroup
 MaximalNormalSubgroups
 SetMaximalNormalSubgroups
-IsMaximalNormalSubgroups
+HasMaximalNormalSubgroups
 NormalMaximalSubgroups
 SetNormalMaximalSubgroups
-IsNormalMaximalSubgroups
+HasNormalMaximalSubgroups
 MinimalNormalSubgroups
 SetMinimalNormalSubgroups
-IsMinimalNormalSubgroups
+HasMinimalNormalSubgroups
 NormalSubgroups
 SetNormalSubgroups
-IsNormalSubgroups
+HasNormalSubgroups
 NrConjugacyClasses
 SetNrConjugacyClasses
-IsNrConjugacyClasses
+HasNrConjugacyClasses
 Omega
 OmegaOp
 ComputedOmegas
 SetComputedOmegas
-IsComputedOmegas
+HasComputedOmegas
 AgemoOp
 ComputedAgemos
 SetComputedAgemos
-IsComputedAgemos
+HasComputedAgemos
 RadicalGroup
 SetRadicalGroup
-IsRadicalGroup
+HasRadicalGroup
 RationalClasses
 SetRationalClasses
-IsRationalClasses
+HasRationalClasses
 GeneratorsSmallest
 SetGeneratorsSmallest
-IsGeneratorsSmallest
+HasGeneratorsSmallest
 LargestElementGroup
 SetLargestElementGroup
-IsLargestElementGroup
+HasLargestElementGroup
 MinimalGeneratingSet
 SetMinimalGeneratingSet
-IsMinimalGeneratingSet
+HasMinimalGeneratingSet
 SmallGeneratingSet
 SetSmallGeneratingSet
-IsSmallGeneratingSet
+HasSmallGeneratingSet
 SupersolvableResiduum
 SetSupersolvableResiduum
-IsSupersolvableResiduum
+HasSupersolvableResiduum
 ComplementSystem
 SetComplementSystem
-IsComplementSystem
+HasComplementSystem
 SylowSystem
 SetSylowSystem
-IsSylowSystem
+HasSylowSystem
 HallSystem
 SetHallSystem
-IsHallSystem
+HasHallSystem
 Socle
 SetSocle
-IsSocle
+HasSocle
 UpperCentralSeriesOfGroup
 SetUpperCentralSeriesOfGroup
-IsUpperCentralSeriesOfGroup
+HasUpperCentralSeriesOfGroup
 EulerianFunction
 AsSubgroup
 ClassMultiplicationCoefficient
@@ -5091,7 +5091,7 @@ ConjugateSubgroups
 CoreOp
 CoreInParent
 SetCoreInParent
-IsCoreInParent
+HasCoreInParent
 Core
 CosetTable
 CosetTableNormalClosure
@@ -5100,34 +5100,34 @@ NaturalHomomorphism
 IndexOp
 IndexInParent
 SetIndexInParent
-IsIndexInParent
+HasIndexInParent
 Index
 IndexNC
 IndexInWholeGroup
 SetIndexInWholeGroup
-IsIndexInWholeGroup
+HasIndexInWholeGroup
 IndependentGeneratorsOfAbelianGroup
 SetIndependentGeneratorsOfAbelianGroup
-IsIndependentGeneratorsOfAbelianGroup
+HasIndependentGeneratorsOfAbelianGroup
 IndependentGeneratorExponents
 IsConjugate
 IsNormalOp
 IsNormalInParent
 SetIsNormalInParent
-IsIsNormalInParent
+HasIsNormalInParent
 IsNormal
 IsCharacteristicSubgroup
 IsPNilpotentOp
 ComputedIsPNilpotents
 SetComputedIsPNilpotents
-IsComputedIsPNilpotents
+HasComputedIsPNilpotents
 IsPNilpotent
 HasIsPNilpotent
 SetIsPNilpotent
 IsPSolvableOp
 ComputedIsPSolvables
 SetComputedIsPSolvables
-IsComputedIsPSolvables
+HasComputedIsPSolvables
 IsPSolvable
 HasIsPSolvable
 SetIsPSolvable
@@ -5135,116 +5135,116 @@ IsSubnormal
 NormalClosureOp
 NormalClosureInParent
 SetNormalClosureInParent
-IsNormalClosureInParent
+HasNormalClosureInParent
 NormalClosure
 NormalIntersection
 NormalizerOp
 NormalizerInParent
 SetNormalizerInParent
-IsNormalizerInParent
+HasNormalizerInParent
 Normalizer
 CentralizerModulo
 PCentralSeriesOp
 ComputedPCentralSeriess
 SetComputedPCentralSeriess
-IsComputedPCentralSeriess
+HasComputedPCentralSeriess
 PCentralSeries
 HasPCentralSeries
 SetPCentralSeries
 PRumpOp
 ComputedPRumps
 SetComputedPRumps
-IsComputedPRumps
+HasComputedPRumps
 PRump
 HasPRump
 SetPRump
 PCoreOp
 ComputedPCores
 SetComputedPCores
-IsComputedPCores
+HasComputedPCores
 PCore
 HasPCore
 SetPCore
 SubnormalSeriesOp
 SubnormalSeriesInParent
 SetSubnormalSeriesInParent
-IsSubnormalSeriesInParent
+HasSubnormalSeriesInParent
 SubnormalSeries
 SylowSubgroupOp
 ComputedSylowSubgroups
 SetComputedSylowSubgroups
-IsComputedSylowSubgroups
+HasComputedSylowSubgroups
 SylowSubgroup
 HasSylowSubgroup
 SetSylowSubgroup
 SylowComplementOp
 ComputedSylowComplements
 SetComputedSylowComplements
-IsComputedSylowComplements
+HasComputedSylowComplements
 SylowComplement
 HasSylowComplement
 SetSylowComplement
 HallSubgroupOp
 ComputedHallSubgroups
 SetComputedHallSubgroups
-IsComputedHallSubgroups
+HasComputedHallSubgroups
 HallSubgroup
 HasHallSubgroup
 SetHallSubgroup
 NormalHallSubgroups
 SetNormalHallSubgroups
-IsNormalHallSubgroups
+HasNormalHallSubgroups
 NrConjugacyClassesInSupergroup
 Factorization
 GrowthFunctionOfGroup
 SetGrowthFunctionOfGroup
-IsGrowthFunctionOfGroup
+HasGrowthFunctionOfGroup
 GroupByGenerators
 GroupWithGenerators
 ElementTestFunction
 SetElementTestFunction
-IsElementTestFunction
+HasElementTestFunction
 RightTransversalOp
 RightTransversalInParent
 SetRightTransversalInParent
-IsRightTransversalInParent
+HasRightTransversalInParent
 RightTransversal
 IntermediateSubgroups
 IsomorphismTypeInfoFiniteSimpleGroup
 SetIsomorphismTypeInfoFiniteSimpleGroup
-IsIsomorphismTypeInfoFiniteSimpleGroup
+HasIsomorphismTypeInfoFiniteSimpleGroup
 IsomorphismPcGroup
 SetIsomorphismPcGroup
-IsIsomorphismPcGroup
+HasIsomorphismPcGroup
 IsomorphismSpecialPcGroup
 SetIsomorphismSpecialPcGroup
-IsIsomorphismSpecialPcGroup
+HasIsomorphismSpecialPcGroup
 IsomorphismPermGroup
 SetIsomorphismPermGroup
-IsIsomorphismPermGroup
+HasIsomorphismPermGroup
 IsomorphismFpGroup
 SetIsomorphismFpGroup
-IsIsomorphismFpGroup
+HasIsomorphismFpGroup
 IsomorphismFpGroupByGeneratorsNC
 IsomorphismFpGroupBySubnormalSeries
 IsomorphismFpGroupByCompositionSeries
 IsomorphismFpGroupByChiefSeries
 PrimePowerComponents
 SetPrimePowerComponents
-IsPrimePowerComponents
+HasPrimePowerComponents
 PrimePowerComponent
 PowerMapOfGroup
 LowIndexSubgroups
 IsInverseSubsemigroup
 IsGeneratorsOfInverseSemigroup
 SetIsGeneratorsOfInverseSemigroup
-IsIsGeneratorsOfInverseSemigroup
+HasIsGeneratorsOfInverseSemigroup
 GeneratorsOfInverseMonoid
 SetGeneratorsOfInverseMonoid
-IsGeneratorsOfInverseMonoid
+HasGeneratorsOfInverseMonoid
 GeneratorsOfInverseSemigroup
 SetGeneratorsOfInverseSemigroup
-IsGeneratorsOfInverseSemigroup
+HasGeneratorsOfInverseSemigroup
 InverseMonoidByGenerators
 InverseSemigroupByGenerators
 InverseSubsemigroup
@@ -5253,71 +5253,71 @@ InverseSubmonoid
 InverseSubmonoidNC
 AsInverseSemigroup
 SetAsInverseSemigroup
-IsAsInverseSemigroup
+HasAsInverseSemigroup
 AsInverseMonoid
 SetAsInverseMonoid
-IsAsInverseMonoid
+HasAsInverseMonoid
 AsInverseSubsemigroup
 AsInverseSubmonoid
 ReverseNaturalPartialOrder
 SetReverseNaturalPartialOrder
-IsReverseNaturalPartialOrder
+HasReverseNaturalPartialOrder
 NaturalPartialOrder
 SetNaturalPartialOrder
-IsNaturalPartialOrder
+HasNaturalPartialOrder
 IsAdditivelyCommutative
 SetIsAdditivelyCommutative
-IsIsAdditivelyCommutative
+HasIsAdditivelyCommutative
 NearAdditiveMagmaByGenerators
 NearAdditiveMagmaWithZeroByGenerators
 NearAdditiveGroupByGenerators
 GeneratorsOfNearAdditiveMagma
 SetGeneratorsOfNearAdditiveMagma
-IsGeneratorsOfNearAdditiveMagma
+HasGeneratorsOfNearAdditiveMagma
 GeneratorsOfNearAdditiveMagmaWithZero
 SetGeneratorsOfNearAdditiveMagmaWithZero
-IsGeneratorsOfNearAdditiveMagmaWithZero
+HasGeneratorsOfNearAdditiveMagmaWithZero
 GeneratorsOfNearAdditiveGroup
 SetGeneratorsOfNearAdditiveGroup
-IsGeneratorsOfNearAdditiveGroup
+HasGeneratorsOfNearAdditiveGroup
 TrivialSubnearAdditiveMagmaWithZero
 SetTrivialSubnearAdditiveMagmaWithZero
-IsTrivialSubnearAdditiveMagmaWithZero
+HasTrivialSubnearAdditiveMagmaWithZero
 AdditiveNeutralElement
 SetAdditiveNeutralElement
-IsAdditiveNeutralElement
+HasAdditiveNeutralElement
 ClosureNearAdditiveGroup
 AdditiveCoset
 IsLDistributive
 SetIsLDistributive
-IsIsLDistributive
+HasIsLDistributive
 IsRDistributive
 SetIsRDistributive
-IsIsRDistributive
+HasIsRDistributive
 GeneratorsOfSemiring
 SetGeneratorsOfSemiring
-IsGeneratorsOfSemiring
+HasGeneratorsOfSemiring
 GeneratorsOfSemiringWithOne
 SetGeneratorsOfSemiringWithOne
-IsGeneratorsOfSemiringWithOne
+HasGeneratorsOfSemiringWithOne
 GeneratorsOfSemiringWithZero
 SetGeneratorsOfSemiringWithZero
-IsGeneratorsOfSemiringWithZero
+HasGeneratorsOfSemiringWithZero
 GeneratorsOfSemiringWithOneAndZero
 SetGeneratorsOfSemiringWithOneAndZero
-IsGeneratorsOfSemiringWithOneAndZero
+HasGeneratorsOfSemiringWithOneAndZero
 AsSemiring
 SetAsSemiring
-IsAsSemiring
+HasAsSemiring
 AsSemiringWithOne
 SetAsSemiringWithOne
-IsAsSemiringWithOne
+HasAsSemiringWithOne
 AsSemiringWithZero
 SetAsSemiringWithZero
-IsAsSemiringWithZero
+HasAsSemiringWithZero
 AsSemiringWithOneAndZero
 SetAsSemiringWithOneAndZero
-IsAsSemiringWithOneAndZero
+HasAsSemiringWithOneAndZero
 ClosureSemiring
 SemiringByGenerators
 SemiringWithOneByGenerators
@@ -5325,41 +5325,41 @@ SemiringWithZeroByGenerators
 SemiringWithOneAndZeroByGenerators
 CentralIdempotentsOfSemiring
 SetCentralIdempotentsOfSemiring
-IsCentralIdempotentsOfSemiring
+HasCentralIdempotentsOfSemiring
 AsNearRing
 SetAsNearRing
-IsAsNearRing
+HasAsNearRing
 AsRing
 SetAsRing
-IsAsRing
+HasAsRing
 GeneratorsOfRing
 SetGeneratorsOfRing
-IsGeneratorsOfRing
+HasGeneratorsOfRing
 GeneratorsOfRingWithOne
 SetGeneratorsOfRingWithOne
-IsGeneratorsOfRingWithOne
+HasGeneratorsOfRingWithOne
 RingByGenerators
 DefaultRingByGenerators
 RingWithOneByGenerators
 ClosureRing
 IsAnticommutative
 SetIsAnticommutative
-IsIsAnticommutative
+HasIsAnticommutative
 IsIntegralRing
 SetIsIntegralRing
-IsIsIntegralRing
+HasIsIntegralRing
 IsJacobianRing
 SetIsJacobianRing
-IsIsJacobianRing
+HasIsJacobianRing
 IsZeroSquaredRing
 SetIsZeroSquaredRing
-IsIsZeroSquaredRing
+HasIsZeroSquaredRing
 IsZeroMultiplicationRing
 SetIsZeroMultiplicationRing
-IsIsZeroMultiplicationRing
+HasIsZeroMultiplicationRing
 Units
 SetUnits
-IsUnits
+HasUnits
 Factors
 IsAssociated
 Associates
@@ -5382,40 +5382,40 @@ LcmOp
 PadicValuation
 IsGeneralizedCartanMatrix
 SetIsGeneralizedCartanMatrix
-IsIsGeneralizedCartanMatrix
+HasIsGeneralizedCartanMatrix
 IsDiagonalMat
 IsUpperTriangularMat
 IsLowerTriangularMat
 BaseMat
 SetBaseMat
-IsBaseMat
+HasBaseMat
 BaseMatDestructive
 BaseOrthogonalSpaceMat
 SetBaseOrthogonalSpaceMat
-IsBaseOrthogonalSpaceMat
+HasBaseOrthogonalSpaceMat
 DefaultFieldOfMatrix
 SetDefaultFieldOfMatrix
-IsDefaultFieldOfMatrix
+HasDefaultFieldOfMatrix
 DepthOfUpperTriangularMatrix
 SetDepthOfUpperTriangularMatrix
-IsDepthOfUpperTriangularMatrix
+HasDepthOfUpperTriangularMatrix
 DeterminantMat
 SetDeterminantMat
-IsDeterminantMat
+HasDeterminantMat
 DeterminantMatDestructive
 DeterminantMatDivFree
 DimensionsMat
 SetDimensionsMat
-IsDimensionsMat
+HasDimensionsMat
 ElementaryDivisorsMat
 ElementaryDivisorsTransformationsMat
 TriangulizedNullspaceMatNT
 NullspaceMat
 SetNullspaceMat
-IsNullspaceMat
+HasNullspaceMat
 TriangulizedNullspaceMat
 SetTriangulizedNullspaceMat
-IsTriangulizedNullspaceMat
+HasTriangulizedNullspaceMat
 NullspaceMatDestructive
 TriangulizedNullspaceMatDestructive
 GeneralisedEigenvalues
@@ -5425,30 +5425,30 @@ Eigenspaces
 Eigenvectors
 ProjectiveOrder
 SetProjectiveOrder
-IsProjectiveOrder
+HasProjectiveOrder
 RankMat
 SetRankMat
-IsRankMat
+HasRankMat
 RankMatDestructive
 SemiEchelonMat
 SetSemiEchelonMat
-IsSemiEchelonMat
+HasSemiEchelonMat
 SemiEchelonMatDestructive
 SemiEchelonMatTransformation
 SetSemiEchelonMatTransformation
-IsSemiEchelonMatTransformation
+HasSemiEchelonMatTransformation
 SemiEchelonMatTransformationDestructive
 SemiEchelonMats
 SemiEchelonMatsDestructive
 TransposedMatImmutable
 SetTransposedMatImmutable
-IsTransposedMatImmutable
+HasTransposedMatImmutable
 TransposedMatMutable
 MutableTransposedMatDestructive
 TransposedMatDestructive
 IsMonomialMatrix
 SetIsMonomialMatrix
-IsIsMonomialMatrix
+HasIsMonomialMatrix
 InverseMatMod
 KroneckerProduct
 SolutionMatNoCo
@@ -5463,10 +5463,10 @@ MutableCopyMat
 TraceMat
 JordanDecomposition
 SetJordanDecomposition
-IsJordanDecomposition
+HasJordanDecomposition
 CharacteristicPolynomial
 SetCharacteristicPolynomial
-IsCharacteristicPolynomial
+HasCharacteristicPolynomial
 CharacteristicPolynomialMatrixNC
 MinimalPolynomialMatrixNC
 FieldOfMatrixList
@@ -5481,141 +5481,141 @@ SmithNormalFormIntegerMat
 SmithNormalFormIntegerMatTransforms
 BaseIntMat
 SetBaseIntMat
-IsBaseIntMat
+HasBaseIntMat
 BaseIntersectionIntMats
 ComplementIntMat
 NullspaceIntMat
 SetNullspaceIntMat
-IsNullspaceIntMat
+HasNullspaceIntMat
 SolutionIntMat
 SolutionNullspaceIntMat
 AbelianInvariantsOfList
 SetAbelianInvariantsOfList
-IsAbelianInvariantsOfList
+HasAbelianInvariantsOfList
 MatrixByBlockMatrix
 SetMatrixByBlockMatrix
-IsMatrixByBlockMatrix
+HasMatrixByBlockMatrix
 IsTwoSidedIdealOp
 IsTwoSidedIdealInParent
 SetIsTwoSidedIdealInParent
-IsIsTwoSidedIdealInParent
+HasIsTwoSidedIdealInParent
 IsTwoSidedIdeal
 IsLeftIdealOp
 IsLeftIdealInParent
 SetIsLeftIdealInParent
-IsIsLeftIdealInParent
+HasIsLeftIdealInParent
 IsLeftIdeal
 IsRightIdealOp
 IsRightIdealInParent
 SetIsRightIdealInParent
-IsIsRightIdealInParent
+HasIsRightIdealInParent
 IsRightIdeal
 TwoSidedIdealByGenerators
 LeftIdealByGenerators
 RightIdealByGenerators
 GeneratorsOfTwoSidedIdeal
 SetGeneratorsOfTwoSidedIdeal
-IsGeneratorsOfTwoSidedIdeal
+HasGeneratorsOfTwoSidedIdeal
 GeneratorsOfLeftIdeal
 SetGeneratorsOfLeftIdeal
-IsGeneratorsOfLeftIdeal
+HasGeneratorsOfLeftIdeal
 GeneratorsOfRightIdeal
 SetGeneratorsOfRightIdeal
-IsGeneratorsOfRightIdeal
+HasGeneratorsOfRightIdeal
 LeftActingRingOfIdeal
 SetLeftActingRingOfIdeal
-IsLeftActingRingOfIdeal
+HasLeftActingRingOfIdeal
 RightActingRingOfIdeal
 SetRightActingRingOfIdeal
-IsRightActingRingOfIdeal
+HasRightActingRingOfIdeal
 AsLeftIdeal
 AsRightIdeal
 AsTwoSidedIdeal
 IsFiniteDimensional
 SetIsFiniteDimensional
-IsIsFiniteDimensional
+HasIsFiniteDimensional
 IsFullRowModule
 SetIsFullRowModule
-IsIsFullRowModule
+HasIsFullRowModule
 IsFullMatrixModule
 SetIsFullMatrixModule
-IsIsFullMatrixModule
+HasIsFullMatrixModule
 Dimension
 SetDimension
-IsDimension
+HasDimension
 GeneratorsOfLeftOperatorAdditiveGroup
 SetGeneratorsOfLeftOperatorAdditiveGroup
-IsGeneratorsOfLeftOperatorAdditiveGroup
+HasGeneratorsOfLeftOperatorAdditiveGroup
 GeneratorsOfRightOperatorAdditiveGroup
 SetGeneratorsOfRightOperatorAdditiveGroup
-IsGeneratorsOfRightOperatorAdditiveGroup
+HasGeneratorsOfRightOperatorAdditiveGroup
 AsLeftModule
 ClosureLeftModule
 LeftModuleByGenerators
 UseBasis
 IsRowModule
 SetIsRowModule
-IsIsRowModule
+HasIsRowModule
 IsMatrixModule
 SetIsMatrixModule
-IsIsMatrixModule
+HasIsMatrixModule
 DimensionOfVectors
 SetDimensionOfVectors
-IsDimensionOfVectors
+HasDimensionOfVectors
 IsCanonicalBasis
 SetIsCanonicalBasis
-IsIsCanonicalBasis
+HasIsCanonicalBasis
 IsCanonicalBasisFullRowModule
 SetIsCanonicalBasisFullRowModule
-IsIsCanonicalBasisFullRowModule
+HasIsCanonicalBasisFullRowModule
 IsCanonicalBasisFullMatrixModule
 SetIsCanonicalBasisFullMatrixModule
-IsIsCanonicalBasisFullMatrixModule
+HasIsCanonicalBasisFullMatrixModule
 IsIntegralBasis
 SetIsIntegralBasis
-IsIsIntegralBasis
+HasIsIntegralBasis
 IsNormalBasis
 SetIsNormalBasis
-IsIsNormalBasis
+HasIsNormalBasis
 IsSemiEchelonized
 SetIsSemiEchelonized
-IsIsSemiEchelonized
+HasIsSemiEchelonized
 BasisVectors
 SetBasisVectors
-IsBasisVectors
+HasBasisVectors
 EnumeratorByBasis
 SetEnumeratorByBasis
-IsEnumeratorByBasis
+HasEnumeratorByBasis
 StructureConstantsTable
 SetStructureConstantsTable
-IsStructureConstantsTable
+HasStructureConstantsTable
 UnderlyingLeftModule
 SetUnderlyingLeftModule
-IsUnderlyingLeftModule
+HasUnderlyingLeftModule
 Coefficients
 LinearCombination
 SiftedVector
 IteratorByBasis
 Basis
 SetBasis
-IsBasis
+HasBasis
 BasisNC
 SemiEchelonBasis
 SetSemiEchelonBasis
-IsSemiEchelonBasis
+HasSemiEchelonBasis
 SemiEchelonBasisNC
 RelativeBasis
 RelativeBasisNC
 NiceBasis
 SetNiceBasis
-IsNiceBasis
+HasNiceBasis
 NiceBasisNC
 NiceFreeLeftModule
 SetNiceFreeLeftModule
-IsNiceFreeLeftModule
+HasNiceFreeLeftModule
 NiceFreeLeftModuleInfo
 SetNiceFreeLeftModuleInfo
-IsNiceFreeLeftModuleInfo
+HasNiceFreeLeftModuleInfo
 NiceVector
 UglyVector
 MutableBasis
@@ -5625,64 +5625,64 @@ CloseMutableBasis
 IsContainedInSpan
 CanonicalBasis
 SetCanonicalBasis
-IsCanonicalBasis
+HasCanonicalBasis
 NormedRowVectors
 SetNormedRowVectors
-IsNormedRowVectors
+HasNormedRowVectors
 AsSubspace
 Subspaces
 SetSubspaces
-IsSubspaces
+HasSubspaces
 OrthogonalSpaceInFullRowSpace
 SetOrthogonalSpaceInFullRowSpace
-IsOrthogonalSpaceInFullRowSpace
+HasOrthogonalSpaceInFullRowSpace
 IsVectorSpaceHomomorphism
 SetIsVectorSpaceHomomorphism
-IsIsVectorSpaceHomomorphism
+HasIsVectorSpaceHomomorphism
 LeftModuleGeneralMappingByImages
 LeftModuleHomomorphismByImagesNC
 AsLeftModuleGeneralMappingByImages
 SetAsLeftModuleGeneralMappingByImages
-IsAsLeftModuleGeneralMappingByImages
+HasAsLeftModuleGeneralMappingByImages
 LeftModuleHomomorphismByMatrix
 NaturalHomomorphismBySubspace
 IsFullHomModule
 SetIsFullHomModule
-IsIsFullHomModule
+HasIsFullHomModule
 IsPseudoCanonicalBasisFullHomModule
 SetIsPseudoCanonicalBasisFullHomModule
-IsIsPseudoCanonicalBasisFullHomModule
+HasIsPseudoCanonicalBasisFullHomModule
 Hom
 End
 ScalarProduct
 Decomposition
 IsSimpleAlgebra
 SetIsSimpleAlgebra
-IsIsSimpleAlgebra
+HasIsSimpleAlgebra
 GeneratorsOfLeftOperatorRing
 SetGeneratorsOfLeftOperatorRing
-IsGeneratorsOfLeftOperatorRing
+HasGeneratorsOfLeftOperatorRing
 GeneratorsOfLeftOperatorRingWithOne
 SetGeneratorsOfLeftOperatorRingWithOne
-IsGeneratorsOfLeftOperatorRingWithOne
+HasGeneratorsOfLeftOperatorRingWithOne
 PowerSubalgebraSeries
 SetPowerSubalgebraSeries
-IsPowerSubalgebraSeries
+HasPowerSubalgebraSeries
 AdjointBasis
 SetAdjointBasis
-IsAdjointBasis
+HasAdjointBasis
 IndicesOfAdjointBasis
 SetIndicesOfAdjointBasis
-IsIndicesOfAdjointBasis
+HasIndicesOfAdjointBasis
 RadicalOfAlgebra
 SetRadicalOfAlgebra
-IsRadicalOfAlgebra
+HasRadicalOfAlgebra
 DirectSumDecomposition
 SetDirectSumDecomposition
-IsDirectSumDecomposition
+HasDirectSumDecomposition
 NullAlgebra
 SetNullAlgebra
-IsNullAlgebra
+HasNullAlgebra
 ProductSpace
 DirectSumOfAlgebras
 AsFLMLOR
@@ -5694,176 +5694,176 @@ FLMLORByGenerators
 FLMLORWithOneByGenerators
 LieAlgebraByDomain
 SetLieAlgebraByDomain
-IsLieAlgebraByDomain
+HasLieAlgebraByDomain
 AsLieAlgebra
 LeviMalcevDecomposition
 SetLeviMalcevDecomposition
-IsLeviMalcevDecomposition
+HasLeviMalcevDecomposition
 IsNilpotentElement
 Grading
 SetGrading
-IsGrading
+HasGrading
 CoefficientsAndMagmaElements
 SetCoefficientsAndMagmaElements
-IsCoefficientsAndMagmaElements
+HasCoefficientsAndMagmaElements
 ZeroCoefficient
 SetZeroCoefficient
-IsZeroCoefficient
+HasZeroCoefficient
 NormalizedElementOfMagmaRingModuloRelations
 IsGroupRing
 SetIsGroupRing
-IsIsGroupRing
+HasIsGroupRing
 UnderlyingMagma
 SetUnderlyingMagma
-IsUnderlyingMagma
+HasUnderlyingMagma
 ElementOfMagmaRing
 AugmentationIdeal
 SetAugmentationIdeal
-IsAugmentationIdeal
+HasAugmentationIdeal
 IsFullFpAlgebra
 SetIsFullFpAlgebra
-IsIsFullFpAlgebra
+HasIsFullFpAlgebra
 ElementOfFpAlgebra
 MappedExpression
 FreeGeneratorsOfFpAlgebra
 SetFreeGeneratorsOfFpAlgebra
-IsFreeGeneratorsOfFpAlgebra
+HasFreeGeneratorsOfFpAlgebra
 RelatorsOfFpAlgebra
 SetRelatorsOfFpAlgebra
-IsRelatorsOfFpAlgebra
+HasRelatorsOfFpAlgebra
 FreeAlgebraOfFpAlgebra
 SetFreeAlgebraOfFpAlgebra
-IsFreeAlgebraOfFpAlgebra
+HasFreeAlgebraOfFpAlgebra
 IsNormalForm
 SetIsNormalForm
-IsIsNormalForm
+HasIsNormalForm
 NiceNormalFormByExtRepFunction
 SetNiceNormalFormByExtRepFunction
-IsNiceNormalFormByExtRepFunction
+HasNiceNormalFormByExtRepFunction
 NiceAlgebraMonomorphism
 SetNiceAlgebraMonomorphism
-IsNiceAlgebraMonomorphism
+HasNiceAlgebraMonomorphism
 IsLieAbelian
 SetIsLieAbelian
-IsIsLieAbelian
+HasIsLieAbelian
 IsLieNilpotent
 SetIsLieNilpotent
-IsIsLieNilpotent
+HasIsLieNilpotent
 IsRestrictedLieAlgebra
 SetIsRestrictedLieAlgebra
-IsIsRestrictedLieAlgebra
+HasIsRestrictedLieAlgebra
 LieDerivedSubalgebra
 SetLieDerivedSubalgebra
-IsLieDerivedSubalgebra
+HasLieDerivedSubalgebra
 LieDerivedSeries
 SetLieDerivedSeries
-IsLieDerivedSeries
+HasLieDerivedSeries
 IsLieSolvable
 SetIsLieSolvable
-IsIsLieSolvable
+HasIsLieSolvable
 LieLowerCentralSeries
 SetLieLowerCentralSeries
-IsLieLowerCentralSeries
+HasLieLowerCentralSeries
 LieUpperCentralSeries
 SetLieUpperCentralSeries
-IsLieUpperCentralSeries
+HasLieUpperCentralSeries
 LieCentre
 SetLieCentre
-IsLieCentre
+HasLieCentre
 RightDerivations
 SetRightDerivations
-IsRightDerivations
+HasRightDerivations
 LeftDerivations
 SetLeftDerivations
-IsLeftDerivations
+HasLeftDerivations
 KillingMatrix
 SetKillingMatrix
-IsKillingMatrix
+HasKillingMatrix
 CartanSubalgebra
 SetCartanSubalgebra
-IsCartanSubalgebra
+HasCartanSubalgebra
 PthPowerImages
 SetPthPowerImages
-IsPthPowerImages
+HasPthPowerImages
 NonNilpotentElement
 SetNonNilpotentElement
-IsNonNilpotentElement
+HasNonNilpotentElement
 AdjointAssociativeAlgebra
 LieNilRadical
 SetLieNilRadical
-IsLieNilRadical
+HasLieNilRadical
 LieSolvableRadical
 SetLieSolvableRadical
-IsLieSolvableRadical
+HasLieSolvableRadical
 SemiSimpleType
 SetSemiSimpleType
-IsSemiSimpleType
+HasSemiSimpleType
 LieCentralizer
 LieCentralizerInParent
 SetLieCentralizerInParent
-IsLieCentralizerInParent
+HasLieCentralizerInParent
 LieNormalizer
 LieNormalizerInParent
 SetLieNormalizerInParent
-IsLieNormalizerInParent
+HasLieNormalizerInParent
 AdjointMatrix
 KappaPerp
 PowerS
 SetPowerS
-IsPowerS
+HasPowerS
 PthPowerImage
 PClosureSubalgebra
 UnderlyingLieAlgebra
 SetUnderlyingLieAlgebra
-IsUnderlyingLieAlgebra
+HasUnderlyingLieAlgebra
 RootSystem
 SetRootSystem
-IsRootSystem
+HasRootSystem
 PositiveRoots
 SetPositiveRoots
-IsPositiveRoots
+HasPositiveRoots
 NegativeRoots
 SetNegativeRoots
-IsNegativeRoots
+HasNegativeRoots
 PositiveRootVectors
 SetPositiveRootVectors
-IsPositiveRootVectors
+HasPositiveRootVectors
 NegativeRootVectors
 SetNegativeRootVectors
-IsNegativeRootVectors
+HasNegativeRootVectors
 SimpleSystem
 SetSimpleSystem
-IsSimpleSystem
+HasSimpleSystem
 CartanMatrix
 SetCartanMatrix
-IsCartanMatrix
+HasCartanMatrix
 BilinearFormMat
 SetBilinearFormMat
-IsBilinearFormMat
+HasBilinearFormMat
 CanonicalGenerators
 SetCanonicalGenerators
-IsCanonicalGenerators
+HasCanonicalGenerators
 ChevalleyBasis
 SetChevalleyBasis
-IsChevalleyBasis
+HasChevalleyBasis
 UniversalEnvelopingAlgebra
 SetUniversalEnvelopingAlgebra
-IsUniversalEnvelopingAlgebra
+HasUniversalEnvelopingAlgebra
 JenningsLieAlgebra
 SetJenningsLieAlgebra
-IsJenningsLieAlgebra
+HasJenningsLieAlgebra
 PCentralLieAlgebra
 SetPCentralLieAlgebra
-IsPCentralLieAlgebra
+HasPCentralLieAlgebra
 NaturalHomomorphismOfLieAlgebraFromNilpotentGroup
 SetNaturalHomomorphismOfLieAlgebraFromNilpotentGroup
-IsNaturalHomomorphismOfLieAlgebraFromNilpotentGroup
+HasNaturalHomomorphismOfLieAlgebraFromNilpotentGroup
 IsFullSCAlgebra
 SetIsFullSCAlgebra
-IsIsFullSCAlgebra
+HasIsFullSCAlgebra
 IsCanonicalBasisFullSCAlgebra
 SetIsCanonicalBasisFullSCAlgebra
-IsIsCanonicalBasisFullSCAlgebra
+HasIsCanonicalBasisFullSCAlgebra
 AlgebraGeneralMappingByImages
 AlgebraHomomorphismByImagesNC
 AlgebraWithOneGeneralMappingByImages
@@ -5872,45 +5872,45 @@ OperationAlgebraHomomorphism
 MakePreImagesInfoOperationAlgebraHomomorphism
 IsomorphismFpFLMLOR
 SetIsomorphismFpFLMLOR
-IsIsomorphismFpFLMLOR
+HasIsomorphismFpFLMLOR
 IsomorphismMatrixFLMLOR
 SetIsomorphismMatrixFLMLOR
-IsIsomorphismMatrixFLMLOR
+HasIsomorphismMatrixFLMLOR
 IsomorphismSCFLMLOR
 SetIsomorphismSCFLMLOR
-IsIsomorphismSCFLMLOR
+HasIsomorphismSCFLMLOR
 RepresentativeLinearOperation
 LieFamily
 SetLieFamily
-IsLieFamily
+HasLieFamily
 UnderlyingFamily
 SetUnderlyingFamily
-IsUnderlyingFamily
+HasUnderlyingFamily
 LieObject
 SetLieObject
-IsLieObject
+HasLieObject
 UnderlyingRingElement
 SetUnderlyingRingElement
-IsUnderlyingRingElement
+HasUnderlyingRingElement
 IsAlgebraModule
 SetIsAlgebraModule
-IsIsAlgebraModule
+HasIsAlgebraModule
 IsLeftAlgebraModule
 SetIsLeftAlgebraModule
-IsIsLeftAlgebraModule
+HasIsLeftAlgebraModule
 IsRightAlgebraModule
 SetIsRightAlgebraModule
-IsIsRightAlgebraModule
+HasIsRightAlgebraModule
 LeftActingAlgebra
 SetLeftActingAlgebra
-IsLeftActingAlgebra
+HasLeftActingAlgebra
 RightActingAlgebra
 SetRightActingAlgebra
-IsRightActingAlgebra
+HasRightActingAlgebra
 ActingAlgebra
 GeneratorsOfAlgebraModule
 SetGeneratorsOfAlgebraModule
-IsGeneratorsOfAlgebraModule
+HasGeneratorsOfAlgebraModule
 LeftAlgebraModuleByGenerators
 RightAlgebraModuleByGenerators
 BiAlgebraModuleByGenerators
@@ -5922,10 +5922,10 @@ LeftModuleByHomomorphismToMatAlg
 RightModuleByHomomorphismToMatAlg
 AdjointModule
 SetAdjointModule
-IsAdjointModule
+HasAdjointModule
 FaithfulModule
 SetFaithfulModule
-IsFaithfulModule
+HasFaithfulModule
 ModuleByRestriction
 NaturalHomomorphismBySubAlgebraModule
 MatrixOfAction
@@ -5945,30 +5945,30 @@ Cocycles
 Coboundaries
 IsWeylGroup
 SetIsWeylGroup
-IsIsWeylGroup
+HasIsWeylGroup
 WeylGroup
 SetWeylGroup
-IsWeylGroup
+HasWeylGroup
 SparseCartanMatrix
 SetSparseCartanMatrix
-IsSparseCartanMatrix
+HasSparseCartanMatrix
 ApplySimpleReflection
 LongestWeylWordPerm
 SetLongestWeylWordPerm
-IsLongestWeylWordPerm
+HasLongestWeylWordPerm
 ConjugateDominantWeight
 ConjugateDominantWeightWithWord
 WeylOrbitIterator
 PositiveRootsAsWeights
 SetPositiveRootsAsWeights
-IsPositiveRootsAsWeights
+HasPositiveRootsAsWeights
 DominantWeights
 DominantCharacter
 DecomposeTensorProduct
 DimensionOfHighestWeightModule
 LatticeGeneratorsInUEA
 SetLatticeGeneratorsInUEA
-IsLatticeGeneratorsInUEA
+HasLatticeGeneratorsInUEA
 HighestWeightModule
 LeadingUEALatticeMonomial
 Search
@@ -5976,7 +5976,7 @@ Insert
 CoefficientsQadic
 PrimeDivisors
 SetPrimeDivisors
-IsPrimeDivisors
+HasPrimeDivisors
 PartialFactorization
 Phi
 Lambda
@@ -5984,85 +5984,85 @@ Sigma
 Tau
 StandardGeneratorsSubringSCRing
 SetStandardGeneratorsSubringSCRing
-IsStandardGeneratorsSubringSCRing
+HasStandardGeneratorsSubringSCRing
 Subrings
 SetSubrings
-IsSubrings
+HasSubrings
 Ideals
 SetIdeals
-IsIdeals
+HasIdeals
 DirectSumOp
 DirectSumInfo
 SetDirectSumInfo
-IsDirectSumInfo
+HasDirectSumInfo
 RingGeneralMappingByImages
 RingHomomorphismByImagesNC
 NaturalHomomorphismByIdeal
 LucasMod
 Permanent
 SetPermanent
-IsPermanent
+HasPermanent
 RationalFunctionsFamily
 SetRationalFunctionsFamily
-IsRationalFunctionsFamily
+HasRationalFunctionsFamily
 CoefficientsFamily
 SetCoefficientsFamily
-IsCoefficientsFamily
+HasCoefficientsFamily
 NumeratorOfRationalFunction
 SetNumeratorOfRationalFunction
-IsNumeratorOfRationalFunction
+HasNumeratorOfRationalFunction
 DenominatorOfRationalFunction
 SetDenominatorOfRationalFunction
-IsDenominatorOfRationalFunction
+HasDenominatorOfRationalFunction
 IsPolynomial
 SetIsPolynomial
-IsIsPolynomial
+HasIsPolynomial
 AsPolynomial
 SetAsPolynomial
-IsAsPolynomial
+HasAsPolynomial
 IsUnivariateRationalFunction
 SetIsUnivariateRationalFunction
-IsIsUnivariateRationalFunction
+HasIsUnivariateRationalFunction
 IsLaurentPolynomial
 SetIsLaurentPolynomial
-IsIsLaurentPolynomial
+HasIsLaurentPolynomial
 IsConstantRationalFunction
 SetIsConstantRationalFunction
-IsIsConstantRationalFunction
+HasIsConstantRationalFunction
 ExtRepNumeratorRatFun
 SetExtRepNumeratorRatFun
-IsExtRepNumeratorRatFun
+HasExtRepNumeratorRatFun
 ExtRepDenominatorRatFun
 SetExtRepDenominatorRatFun
-IsExtRepDenominatorRatFun
+HasExtRepDenominatorRatFun
 ZeroCoefficientRatFun
 ExtRepPolynomialRatFun
 SetExtRepPolynomialRatFun
-IsExtRepPolynomialRatFun
+HasExtRepPolynomialRatFun
 CoefficientsOfLaurentPolynomial
 SetCoefficientsOfLaurentPolynomial
-IsCoefficientsOfLaurentPolynomial
+HasCoefficientsOfLaurentPolynomial
 IndeterminateNumberOfUnivariateRationalFunction
 SetIndeterminateNumberOfUnivariateRationalFunction
-IsIndeterminateNumberOfUnivariateRationalFunction
+HasIndeterminateNumberOfUnivariateRationalFunction
 LaurentPolynomialByCoefficients
 IndeterminateOfUnivariateRationalFunction
 SetIndeterminateOfUnivariateRationalFunction
-IsIndeterminateOfUnivariateRationalFunction
+HasIndeterminateOfUnivariateRationalFunction
 IndeterminateName
 HasIndeterminateName
 SetIndeterminateName
 CoefficientsOfUnivariatePolynomial
 SetCoefficientsOfUnivariatePolynomial
-IsCoefficientsOfUnivariatePolynomial
+HasCoefficientsOfUnivariatePolynomial
 DegreeOfLaurentPolynomial
 SetDegreeOfLaurentPolynomial
-IsDegreeOfLaurentPolynomial
+HasDegreeOfLaurentPolynomial
 UnivariatePolynomialByCoefficients
 UnivariatePolynomial
 CoefficientsOfUnivariateRationalFunction
 SetCoefficientsOfUnivariateRationalFunction
-IsCoefficientsOfUnivariateRationalFunction
+HasCoefficientsOfUnivariateRationalFunction
 UnivariateRationalFunctionByCoefficients
 Value
 LeadingMonomial
@@ -6071,152 +6071,152 @@ PolynomialCoefficientsOfPolynomial
 DegreeIndeterminate
 Derivative
 SetDerivative
-IsDerivative
+HasDerivative
 Resultant
 Discriminant
 SetDiscriminant
-IsDiscriminant
+HasDiscriminant
 HeuristicCancelPolynomialsExtRep
 ZippedSum
 ZippedProduct
 PrimeField
 SetPrimeField
-IsPrimeField
+HasPrimeField
 IsPrimeField
 SetIsPrimeField
-IsIsPrimeField
+HasIsPrimeField
 DefiningPolynomial
 SetDefiningPolynomial
-IsDefiningPolynomial
+HasDefiningPolynomial
 DegreeOverPrimeField
 SetDegreeOverPrimeField
-IsDegreeOverPrimeField
+HasDegreeOverPrimeField
 GeneratorsOfDivisionRing
 SetGeneratorsOfDivisionRing
-IsGeneratorsOfDivisionRing
+HasGeneratorsOfDivisionRing
 NormalBase
 SetNormalBase
-IsNormalBase
+HasNormalBase
 PrimitiveElement
 SetPrimitiveElement
-IsPrimitiveElement
+HasPrimitiveElement
 PrimitiveRoot
 SetPrimitiveRoot
-IsPrimitiveRoot
+HasPrimitiveRoot
 RootOfDefiningPolynomial
 SetRootOfDefiningPolynomial
-IsRootOfDefiningPolynomial
+HasRootOfDefiningPolynomial
 AsDivisionRing
 ClosureDivisionRing
 Subfields
 SetSubfields
-IsSubfields
+HasSubfields
 FieldExtension
 Conjugates
 SetConjugates
-IsConjugates
+HasConjugates
 Norm
 SetNorm
-IsNorm
+HasNorm
 Trace
 SetTrace
-IsTrace
+HasTrace
 TracePolynomial
 GaloisGroup
 SetGaloisGroup
-IsGaloisGroup
+HasGaloisGroup
 ComplexConjugate
 SetComplexConjugate
-IsComplexConjugate
+HasComplexConjugate
 RealPart
 SetRealPart
-IsRealPart
+HasRealPart
 ImaginaryPart
 SetImaginaryPart
-IsImaginaryPart
+HasImaginaryPart
 DivisionRingByGenerators
 FieldOverItselfByGenerators
 DefaultFieldByGenerators
 FrobeniusAutomorphism
 SetFrobeniusAutomorphism
-IsFrobeniusAutomorphism
+HasFrobeniusAutomorphism
 NthRoot
 ZmodnZObj
 ModulusOfZmodnZObj
 SetModulusOfZmodnZObj
-IsModulusOfZmodnZObj
+HasModulusOfZmodnZObj
 Cyclotomic
 SetCyclotomic
-IsCyclotomic
+HasCyclotomic
 IsRingOfIntegralCyclotomics
 SetIsRingOfIntegralCyclotomics
-IsIsRingOfIntegralCyclotomics
+HasIsRingOfIntegralCyclotomics
 RoundCyc
 RoundCycDown
 GaloisMat
 SetGaloisMat
-IsGaloisMat
+HasGaloisMat
 RationalizedMat
 SetRationalizedMat
-IsRationalizedMat
+HasRationalizedMat
 IsNumberField
 SetIsNumberField
-IsIsNumberField
+HasIsNumberField
 IsAbelianNumberField
 SetIsAbelianNumberField
-IsIsAbelianNumberField
+HasIsAbelianNumberField
 IsCyclotomicField
 SetIsCyclotomicField
-IsIsCyclotomicField
+HasIsCyclotomicField
 GaloisStabilizer
 SetGaloisStabilizer
-IsGaloisStabilizer
+HasGaloisStabilizer
 ExponentOfPowering
 SetExponentOfPowering
-IsExponentOfPowering
+HasExponentOfPowering
 Valuation
 PadicNumber
 ShiftedPadicNumber
 CoefficientsRing
 SetCoefficientsRing
-IsCoefficientsRing
+HasCoefficientsRing
 Indeterminate
 UnivariatePolynomialRing
 IndeterminatesOfPolynomialRing
 SetIndeterminatesOfPolynomialRing
-IsIndeterminatesOfPolynomialRing
+HasIndeterminatesOfPolynomialRing
 PolynomialRing
 MinimalPolynomial
 FunctionField
 SplittingField
 SetSplittingField
-IsSplittingField
+HasSplittingField
 IrrFacsPol
 SetIrrFacsPol
-IsIrrFacsPol
+HasIrrFacsPol
 FactorsSquarefree
 IsPrimitivePolynomial
 PrimitivePolynomial
 MinimizedBombieriNorm
 SetMinimizedBombieriNorm
-IsMinimizedBombieriNorm
+HasMinimizedBombieriNorm
 AlgebraicElementsFamilies
 SetAlgebraicElementsFamilies
-IsAlgebraicElementsFamilies
+HasAlgebraicElementsFamilies
 AlgebraicElementsFamily
 AlgebraicExtension
 MaxNumeratorCoeffAlgElm
 DefectApproximation
 SetDefectApproximation
-IsDefectApproximation
+HasDefectApproximation
 Unknown
 MappedWord
 IsFreeSemigroup
 SetIsFreeSemigroup
-IsIsFreeSemigroup
+HasIsFreeSemigroup
 IsFreeMonoid
 SetIsFreeMonoid
-IsIsFreeMonoid
+HasIsFreeMonoid
 AssignGeneratorVariables
 Subword
 PositionWord
@@ -6225,7 +6225,7 @@ EliminatedWord
 ExponentSumWord
 NumberSyllables
 SetNumberSyllables
-IsNumberSyllables
+HasNumberSyllables
 ExponentSyllable
 GeneratorSyllable
 SubSyllables
@@ -6236,7 +6236,7 @@ ExponentSums
 RenumberedWord
 BaseDomain
 SetBaseDomain
-IsBaseDomain
+HasBaseDomain
 PositionLastNonZero
 Unpack
 ExtractSubVector
@@ -6253,7 +6253,7 @@ WeightOfVector
 DistanceOfVectors
 RowLength
 SetRowLength
-IsRowLength
+HasRowLength
 ExtractSubMatrix
 CopySubMatrix
 MatElm
@@ -6274,53 +6274,53 @@ Unfold
 Fold
 IsBuiltFromAdditiveMagmaWithInverses
 SetIsBuiltFromAdditiveMagmaWithInverses
-IsIsBuiltFromAdditiveMagmaWithInverses
+HasIsBuiltFromAdditiveMagmaWithInverses
 IsBuiltFromMagma
 SetIsBuiltFromMagma
-IsIsBuiltFromMagma
+HasIsBuiltFromMagma
 IsBuiltFromMagmaWithOne
 SetIsBuiltFromMagmaWithOne
-IsIsBuiltFromMagmaWithOne
+HasIsBuiltFromMagmaWithOne
 IsBuiltFromMagmaWithInverses
 SetIsBuiltFromMagmaWithInverses
-IsIsBuiltFromMagmaWithInverses
+HasIsBuiltFromMagmaWithInverses
 IsBuiltFromGroup
 SetIsBuiltFromGroup
-IsIsBuiltFromGroup
+HasIsBuiltFromGroup
 IsBuiltFromSemigroup
 SetIsBuiltFromSemigroup
-IsIsBuiltFromSemigroup
+HasIsBuiltFromSemigroup
 IsBuiltFromMonoid
 SetIsBuiltFromMonoid
-IsIsBuiltFromMonoid
+HasIsBuiltFromMonoid
 SemigroupOfRewritingSystem
 SetSemigroupOfRewritingSystem
-IsSemigroupOfRewritingSystem
+HasSemigroupOfRewritingSystem
 MonoidOfRewritingSystem
 SetMonoidOfRewritingSystem
-IsMonoidOfRewritingSystem
+HasMonoidOfRewritingSystem
 FreeStructureOfRewritingSystem
 ConfluentRws
 SetConfluentRws
-IsConfluentRws
+HasConfluentRws
 GeneratorsOfRws
 SetGeneratorsOfRws
-IsGeneratorsOfRws
+HasGeneratorsOfRws
 NumberGeneratorsOfRws
 SetNumberGeneratorsOfRws
-IsNumberGeneratorsOfRws
+HasNumberGeneratorsOfRws
 Rules
 SetRules
-IsRules
+HasRules
 OrderingOfRewritingSystem
 SetOrderingOfRewritingSystem
-IsOrderingOfRewritingSystem
+HasOrderingOfRewritingSystem
 IsConfluent
 SetIsConfluent
-IsIsConfluent
+HasIsConfluent
 IsReduced
 SetIsReduced
-IsIsReduced
+HasIsReduced
 AddRule
 AddRuleReduced
 AddGenerators
@@ -6343,7 +6343,7 @@ ReducedSum
 ReducedZero
 RelativeOrders
 SetRelativeOrders
-IsRelativeOrders
+HasRelativeOrders
 OutdatePolycyclicCollector
 UpdatePolycyclicCollector
 CollectWord
@@ -6380,20 +6380,20 @@ GroupByRws
 GroupByRwsNC
 DefiningPcgs
 SetDefiningPcgs
-IsDefiningPcgs
+HasDefiningPcgs
 PolycyclicFactorGroup
 PolycyclicFactorGroupNC
 PolycyclicFactorGroupByRelatorsNC
 PolycyclicFactorGroupByRelators
 MonomialComparisonFunction
 SetMonomialComparisonFunction
-IsMonomialComparisonFunction
+HasMonomialComparisonFunction
 MonomialExtrepComparisonFun
 SetMonomialExtrepComparisonFun
-IsMonomialExtrepComparisonFun
+HasMonomialExtrepComparisonFun
 OccuringVariableIndices
 SetOccuringVariableIndices
-IsOccuringVariableIndices
+HasOccuringVariableIndices
 LeadingMonomialOfPolynomial
 LeadingCoefficientOfPolynomial
 LeadingTermOfPolynomial
@@ -6401,88 +6401,88 @@ GroebnerBasis
 ReducedGroebnerBasis
 StoredGroebnerBasis
 SetStoredGroebnerBasis
-IsStoredGroebnerBasis
+HasStoredGroebnerBasis
 PcgsByPcSequence
 PcgsByPcSequenceNC
 PcgsByPcSequenceCons
 PcGroupWithPcgs
 SetPcGroupWithPcgs
-IsPcGroupWithPcgs
+HasPcGroupWithPcgs
 GroupOfPcgs
 SetGroupOfPcgs
-IsGroupOfPcgs
+HasGroupOfPcgs
 OneOfPcgs
 SetOneOfPcgs
-IsOneOfPcgs
+HasOneOfPcgs
 PcSeries
 SetPcSeries
-IsPcSeries
+HasPcSeries
 IsPcgsElementaryAbelianSeries
 SetIsPcgsElementaryAbelianSeries
-IsIsPcgsElementaryAbelianSeries
+HasIsPcgsElementaryAbelianSeries
 PcgsElementaryAbelianSeries
 SetPcgsElementaryAbelianSeries
-IsPcgsElementaryAbelianSeries
+HasPcgsElementaryAbelianSeries
 IndicesEANormalSteps
 SetIndicesEANormalSteps
-IsIndicesEANormalSteps
+HasIndicesEANormalSteps
 EANormalSeriesByPcgs
 SetEANormalSeriesByPcgs
-IsEANormalSeriesByPcgs
+HasEANormalSeriesByPcgs
 IsPcgsCentralSeries
 SetIsPcgsCentralSeries
-IsIsPcgsCentralSeries
+HasIsPcgsCentralSeries
 PcgsCentralSeries
 SetPcgsCentralSeries
-IsPcgsCentralSeries
+HasPcgsCentralSeries
 IndicesCentralNormalSteps
 SetIndicesCentralNormalSteps
-IsIndicesCentralNormalSteps
+HasIndicesCentralNormalSteps
 CentralNormalSeriesByPcgs
 SetCentralNormalSeriesByPcgs
-IsCentralNormalSeriesByPcgs
+HasCentralNormalSeriesByPcgs
 IsPcgsPCentralSeriesPGroup
 SetIsPcgsPCentralSeriesPGroup
-IsIsPcgsPCentralSeriesPGroup
+HasIsPcgsPCentralSeriesPGroup
 PcgsPCentralSeriesPGroup
 SetPcgsPCentralSeriesPGroup
-IsPcgsPCentralSeriesPGroup
+HasPcgsPCentralSeriesPGroup
 IndicesPCentralNormalStepsPGroup
 SetIndicesPCentralNormalStepsPGroup
-IsIndicesPCentralNormalStepsPGroup
+HasIndicesPCentralNormalStepsPGroup
 PCentralNormalSeriesByPcgsPGroup
 SetPCentralNormalSeriesByPcgsPGroup
-IsPCentralNormalSeriesByPcgsPGroup
+HasPCentralNormalSeriesByPcgsPGroup
 IsPcgsChiefSeries
 SetIsPcgsChiefSeries
-IsIsPcgsChiefSeries
+HasIsPcgsChiefSeries
 PcgsChiefSeries
 SetPcgsChiefSeries
-IsPcgsChiefSeries
+HasPcgsChiefSeries
 IndicesChiefNormalSteps
 SetIndicesChiefNormalSteps
-IsIndicesChiefNormalSteps
+HasIndicesChiefNormalSteps
 ChiefNormalSeriesByPcgs
 SetChiefNormalSeriesByPcgs
-IsChiefNormalSeriesByPcgs
+HasChiefNormalSeriesByPcgs
 IndicesNormalSteps
 SetIndicesNormalSteps
-IsIndicesNormalSteps
+HasIndicesNormalSteps
 NormalSeriesByPcgs
 SetNormalSeriesByPcgs
-IsNormalSeriesByPcgs
+HasNormalSeriesByPcgs
 IsPrimeOrdersPcgs
 SetIsPrimeOrdersPcgs
-IsIsPrimeOrdersPcgs
+HasIsPrimeOrdersPcgs
 IsFiniteOrdersPcgs
 SetIsFiniteOrdersPcgs
-IsIsFiniteOrdersPcgs
+HasIsFiniteOrdersPcgs
 RefinedPcGroup
 SetRefinedPcGroup
-IsRefinedPcGroup
+HasRefinedPcGroup
 IsomorphismRefinedPcGroup
 SetIsomorphismRefinedPcGroup
-IsIsomorphismRefinedPcGroup
+HasIsomorphismRefinedPcGroup
 DepthOfPcElement
 DifferenceOfPcElement
 ExponentOfPcElement
@@ -6509,7 +6509,7 @@ InducedPcgsByPcSequence
 InducedPcgsByPcSequenceNC
 LeadCoeffsIGS
 SetLeadCoeffsIGS
-IsLeadCoeffsIGS
+HasLeadCoeffsIGS
 InducedPcgsByPcSequenceAndGenerators
 InducedPcgsByGenerators
 InducedPcgsByGeneratorsNC
@@ -6518,166 +6518,166 @@ CanonicalPcgsByGeneratorsWithImages
 AsInducedPcgs
 ParentPcgs
 SetParentPcgs
-IsParentPcgs
+HasParentPcgs
 CanonicalPcgs
 SetCanonicalPcgs
-IsCanonicalPcgs
+HasCanonicalPcgs
 IsCanonicalPcgs
 SetIsCanonicalPcgs
-IsIsCanonicalPcgs
+HasIsCanonicalPcgs
 IsParentPcgsFamilyPcgs
 SetIsParentPcgsFamilyPcgs
-IsIsParentPcgsFamilyPcgs
+HasIsParentPcgsFamilyPcgs
 ElementaryAbelianSubseries
 SetElementaryAbelianSubseries
-IsElementaryAbelianSubseries
+HasElementaryAbelianSubseries
 CanonicalPcElement
 SiftedPcElement
 HomomorphicCanonicalPcgs
 HomomorphicInducedPcgs
 IsFamilyPcgs
 SetIsFamilyPcgs
-IsIsFamilyPcgs
+HasIsFamilyPcgs
 ModuloPcgsByPcSequenceNC
 ModuloPcgsByPcSequence
 ModuloPcgs
 DenominatorOfModuloPcgs
 SetDenominatorOfModuloPcgs
-IsDenominatorOfModuloPcgs
+HasDenominatorOfModuloPcgs
 NumeratorOfModuloPcgs
 SetNumeratorOfModuloPcgs
-IsNumeratorOfModuloPcgs
+HasNumeratorOfModuloPcgs
 IsNumeratorParentPcgsFamilyPcgs
 SetIsNumeratorParentPcgsFamilyPcgs
-IsIsNumeratorParentPcgsFamilyPcgs
+HasIsNumeratorParentPcgsFamilyPcgs
 ExponentsConjugateLayer
 IsSpecialPcgs
 SetIsSpecialPcgs
-IsIsSpecialPcgs
+HasIsSpecialPcgs
 SpecialPcgs
 SetSpecialPcgs
-IsSpecialPcgs
+HasSpecialPcgs
 LGHeads
 SetLGHeads
-IsLGHeads
+HasLGHeads
 LGTails
 SetLGTails
-IsLGTails
+HasLGTails
 LGWeights
 SetLGWeights
-IsLGWeights
+HasLGWeights
 LGLayers
 SetLGLayers
-IsLGLayers
+HasLGLayers
 LGFirst
 SetLGFirst
-IsLGFirst
+HasLGFirst
 LGLength
 SetLGLength
-IsLGLength
+HasLGLength
 InducedPcgsWrtSpecialPcgs
 SetInducedPcgsWrtSpecialPcgs
-IsInducedPcgsWrtSpecialPcgs
+HasInducedPcgsWrtSpecialPcgs
 CanonicalPcgsWrtSpecialPcgs
 SetCanonicalPcgsWrtSpecialPcgs
-IsCanonicalPcgsWrtSpecialPcgs
+HasCanonicalPcgsWrtSpecialPcgs
 IsInducedPcgsWrtSpecialPcgs
 SetIsInducedPcgsWrtSpecialPcgs
-IsIsInducedPcgsWrtSpecialPcgs
+HasIsInducedPcgsWrtSpecialPcgs
 IsCanonicalPcgsWrtSpecialPcgs
 SetIsCanonicalPcgsWrtSpecialPcgs
-IsIsCanonicalPcgsWrtSpecialPcgs
+HasIsCanonicalPcgsWrtSpecialPcgs
 CanonicalPcgsWrtFamilyPcgs
 SetCanonicalPcgsWrtFamilyPcgs
-IsCanonicalPcgsWrtFamilyPcgs
+HasCanonicalPcgsWrtFamilyPcgs
 CanonicalPcgsWrtHomePcgs
 SetCanonicalPcgsWrtHomePcgs
-IsCanonicalPcgsWrtHomePcgs
+HasCanonicalPcgsWrtHomePcgs
 FamilyPcgs
 SetFamilyPcgs
-IsFamilyPcgs
+HasFamilyPcgs
 HomePcgs
 SetHomePcgs
-IsHomePcgs
+HasHomePcgs
 InducedPcgsWrtFamilyPcgs
 SetInducedPcgsWrtFamilyPcgs
-IsInducedPcgsWrtFamilyPcgs
+HasInducedPcgsWrtFamilyPcgs
 InducedPcgs
 InducedPcgsOp
 ComputedInducedPcgses
 SetComputedInducedPcgses
-IsComputedInducedPcgses
+HasComputedInducedPcgses
 InducedPcgsWrtHomePcgs
 SetInducedPcgsWrtHomePcgs
-IsInducedPcgsWrtHomePcgs
+HasInducedPcgsWrtHomePcgs
 Pcgs
 SetPcgs
-IsPcgs
+HasPcgs
 GeneralizedPcgs
 SetGeneralizedPcgs
-IsGeneralizedPcgs
+HasGeneralizedPcgs
 SubgroupByPcgs
 AffineAction
 LinearAction
 OmegaSeries
 SetOmegaSeries
-IsOmegaSeries
+HasOmegaSeries
 NormalizerInHomePcgs
 SetNormalizerInHomePcgs
-IsNormalizerInHomePcgs
+HasNormalizerInHomePcgs
 MultiplicationTable
 SetMultiplicationTable
-IsMultiplicationTable
+HasMultiplicationTable
 AllBlocks
 SetAllBlocks
-IsAllBlocks
+HasAllBlocks
 TransitiveIdentification
 SetTransitiveIdentification
-IsTransitiveIdentification
+HasTransitiveIdentification
 PrimitiveIdentification
 SetPrimitiveIdentification
-IsPrimitiveIdentification
+HasPrimitiveIdentification
 ONanScottType
 SetONanScottType
-IsONanScottType
+HasONanScottType
 SocleTypePrimitiveGroup
 SetSocleTypePrimitiveGroup
-IsSocleTypePrimitiveGroup
+HasSocleTypePrimitiveGroup
 TwoClosure
 SetTwoClosure
-IsTwoClosure
+HasTwoClosure
 GroupGeneralMappingByImages
 GroupGeneralMappingByImagesNC
 GroupHomomorphismByImagesNC
 AsGroupGeneralMappingByImages
 SetAsGroupGeneralMappingByImages
-IsAsGroupGeneralMappingByImages
+HasAsGroupGeneralMappingByImages
 MappingOfWhichItIsAsGGMBI
 SetMappingOfWhichItIsAsGGMBI
-IsMappingOfWhichItIsAsGGMBI
+HasMappingOfWhichItIsAsGGMBI
 NaturalHomomorphismByNormalSubgroupNCOp
 NaturalHomomorphismByNormalSubgroupNCInParent
 SetNaturalHomomorphismByNormalSubgroupNCInParent
-IsNaturalHomomorphismByNormalSubgroupNCInParent
+HasNaturalHomomorphismByNormalSubgroupNCInParent
 NaturalHomomorphismByNormalSubgroupNC
 ConjugatorIsomorphism
 ConjugatorAutomorphismNC
 InnerAutomorphismNC
 IsConjugatorIsomorphism
 SetIsConjugatorIsomorphism
-IsIsConjugatorIsomorphism
+HasIsConjugatorIsomorphism
 IsInnerAutomorphism
 SetIsInnerAutomorphism
-IsIsInnerAutomorphism
+HasIsInnerAutomorphism
 ConjugatorOfConjugatorIsomorphism
 SetConjugatorOfConjugatorIsomorphism
-IsConjugatorOfConjugatorIsomorphism
+HasConjugatorOfConjugatorIsomorphism
 ImagesSmallestGenerators
 SetImagesSmallestGenerators
-IsImagesSmallestGenerators
+HasImagesSmallestGenerators
 RegularActionHomomorphism
 SetRegularActionHomomorphism
-IsRegularActionHomomorphism
+HasRegularActionHomomorphism
 NaturalIsomorphismByPcgs
 DirectProductOp
 SubdirectProductOp
@@ -6687,115 +6687,115 @@ StandardWreathProduct
 FreeProductOp
 DirectProductInfo
 SetDirectProductInfo
-IsDirectProductInfo
+HasDirectProductInfo
 SubdirectProductInfo
 SetSubdirectProductInfo
-IsSubdirectProductInfo
+HasSubdirectProductInfo
 SemidirectProductInfo
 SetSemidirectProductInfo
-IsSemidirectProductInfo
+HasSemidirectProductInfo
 WreathProductInfo
 SetWreathProductInfo
-IsWreathProductInfo
+HasWreathProductInfo
 FreeProductInfo
 SetFreeProductInfo
-IsFreeProductInfo
+HasFreeProductInfo
 IsNaturalSymmetricGroup
 SetIsNaturalSymmetricGroup
-IsIsNaturalSymmetricGroup
+HasIsNaturalSymmetricGroup
 IsNaturalAlternatingGroup
 SetIsNaturalAlternatingGroup
-IsIsNaturalAlternatingGroup
+HasIsNaturalAlternatingGroup
 IsAlternatingGroup
 SetIsAlternatingGroup
-IsIsAlternatingGroup
+HasIsAlternatingGroup
 IsSymmetricGroup
 SetIsSymmetricGroup
-IsIsSymmetricGroup
+HasIsSymmetricGroup
 SymmetricParentGroup
 SetSymmetricParentGroup
-IsSymmetricParentGroup
+HasSymmetricParentGroup
 AlternatingSubgroup
 SetAlternatingSubgroup
-IsAlternatingSubgroup
+HasAlternatingSubgroup
 OrbitStabilizingParentGroup
 SetOrbitStabilizingParentGroup
-IsOrbitStabilizingParentGroup
+HasOrbitStabilizingParentGroup
 IsTrivialNormalIntersection
 NormalComplement
 NormalComplementNC
 DirectFactorsOfGroup
 SetDirectFactorsOfGroup
-IsDirectFactorsOfGroup
+HasDirectFactorsOfGroup
 SemidirectFactorsOfGroup
 SetSemidirectFactorsOfGroup
-IsSemidirectFactorsOfGroup
+HasSemidirectFactorsOfGroup
 DecompositionTypesOfGroup
 SetDecompositionTypesOfGroup
-IsDecompositionTypesOfGroup
+HasDecompositionTypesOfGroup
 IsDihedralGroup
 SetIsDihedralGroup
-IsIsDihedralGroup
+HasIsDihedralGroup
 DihedralGenerators
 SetDihedralGenerators
-IsDihedralGenerators
+HasDihedralGenerators
 IsQuaternionGroup
 SetIsQuaternionGroup
-IsIsQuaternionGroup
+HasIsQuaternionGroup
 QuaternionGenerators
 SetQuaternionGenerators
-IsQuaternionGenerators
+HasQuaternionGenerators
 IsQuasiDihedralGroup
 SetIsQuasiDihedralGroup
-IsIsQuasiDihedralGroup
+HasIsQuasiDihedralGroup
 QuasiDihedralGenerators
 SetQuasiDihedralGenerators
-IsQuasiDihedralGenerators
+HasQuasiDihedralGenerators
 IsPSL
 SetIsPSL
-IsIsPSL
+HasIsPSL
 ParametersOfGroupViewedAsPSL
 SetParametersOfGroupViewedAsPSL
-IsParametersOfGroupViewedAsPSL
+HasParametersOfGroupViewedAsPSL
 ParametersOfGroupViewedAsSL
 SetParametersOfGroupViewedAsSL
-IsParametersOfGroupViewedAsSL
+HasParametersOfGroupViewedAsSL
 ParametersOfGroupViewedAsGL
 SetParametersOfGroupViewedAsGL
-IsParametersOfGroupViewedAsGL
+HasParametersOfGroupViewedAsGL
 AlternatingDegree
 SetAlternatingDegree
-IsAlternatingDegree
+HasAlternatingDegree
 SymmetricDegree
 SetSymmetricDegree
-IsSymmetricDegree
+HasSymmetricDegree
 PSLDegree
 SetPSLDegree
-IsPSLDegree
+HasPSLDegree
 PSLUnderlyingField
 SetPSLUnderlyingField
-IsPSLUnderlyingField
+HasPSLUnderlyingField
 SLDegree
 SetSLDegree
-IsSLDegree
+HasSLDegree
 SLUnderlyingField
 SetSLUnderlyingField
-IsSLUnderlyingField
+HasSLUnderlyingField
 GLDegree
 SetGLDegree
-IsGLDegree
+HasGLDegree
 GLUnderlyingField
 SetGLUnderlyingField
-IsGLUnderlyingField
+HasGLUnderlyingField
 StructureDescription
 SetStructureDescription
-IsStructureDescription
+HasStructureDescription
 IsPQuotientSystem
 SetIsPQuotientSystem
-IsIsPQuotientSystem
+HasIsPQuotientSystem
 IsNilpQuotientSystem
 SetIsNilpQuotientSystem
-IsIsNilpQuotientSystem
+HasIsNilpQuotientSystem
 QuotientSystem
 GetDefinitionNC
 SetDefinitionNC
@@ -6823,109 +6823,109 @@ EpimorphismNilpotentQuotientOp
 Nucleus
 ActingDomain
 SetActingDomain
-IsActingDomain
+HasActingDomain
 HomeEnumerator
 SetHomeEnumerator
-IsHomeEnumerator
+HasHomeEnumerator
 ActionKernelExternalSet
 SetActionKernelExternalSet
-IsActionKernelExternalSet
+HasActionKernelExternalSet
 LinearActionBasis
 SetLinearActionBasis
-IsLinearActionBasis
+HasLinearActionBasis
 FunctionAction
 SetFunctionAction
-IsFunctionAction
+HasFunctionAction
 StabilizerOfExternalSet
 SetStabilizerOfExternalSet
-IsStabilizerOfExternalSet
+HasStabilizerOfExternalSet
 CanonicalRepresentativeOfExternalSet
 SetCanonicalRepresentativeOfExternalSet
-IsCanonicalRepresentativeOfExternalSet
+HasCanonicalRepresentativeOfExternalSet
 CanonicalRepresentativeDeterminatorOfExternalSet
 SetCanonicalRepresentativeDeterminatorOfExternalSet
-IsCanonicalRepresentativeDeterminatorOfExternalSet
+HasCanonicalRepresentativeDeterminatorOfExternalSet
 CanEasilyDetermineCanonicalRepresentativeExternalSet
 SetCanEasilyDetermineCanonicalRepresentativeExternalSet
-IsCanEasilyDetermineCanonicalRepresentativeExternalSet
+HasCanEasilyDetermineCanonicalRepresentativeExternalSet
 ActorOfExternalSet
 SetActorOfExternalSet
-IsActorOfExternalSet
+HasActorOfExternalSet
 PreOrbishProcessing
 ActionHomomorphismAttr
 SetActionHomomorphismAttr
-IsActionHomomorphismAttr
+HasActionHomomorphismAttr
 SurjectiveActionHomomorphismAttr
 SetSurjectiveActionHomomorphismAttr
-IsSurjectiveActionHomomorphismAttr
+HasSurjectiveActionHomomorphismAttr
 UnderlyingExternalSet
 SetUnderlyingExternalSet
-IsUnderlyingExternalSet
+HasUnderlyingExternalSet
 SparseActionHomomorphismOp
 SortedSparseActionHomomorphismOp
 ExternalSet
 SetExternalSet
-IsExternalSet
+HasExternalSet
 RestrictedExternalSet
 ExternalSubsetOp
 ExternalOrbitOp
 OrbitOp
 Orbits
 SetOrbits
-IsOrbits
+HasOrbits
 OrbitsDomain
 SetOrbitsDomain
-IsOrbitsDomain
+HasOrbitsDomain
 OrbitLengthOp
 OrbitLengths
 SetOrbitLengths
-IsOrbitLengths
+HasOrbitLengths
 OrbitLengthsDomain
 SetOrbitLengthsDomain
-IsOrbitLengthsDomain
+HasOrbitLengthsDomain
 OrbitStabilizerOp
 ExternalOrbits
 SetExternalOrbits
-IsExternalOrbits
+HasExternalOrbits
 ExternalOrbitsStabilizers
 SetExternalOrbitsStabilizers
-IsExternalOrbitsStabilizers
+HasExternalOrbitsStabilizers
 Transitivity
 SetTransitivity
-IsTransitivity
+HasTransitivity
 BlocksAttr
 SetBlocksAttr
-IsBlocksAttr
+HasBlocksAttr
 BlocksOp
 MaximalBlocksAttr
 SetMaximalBlocksAttr
-IsMaximalBlocksAttr
+HasMaximalBlocksAttr
 MaximalBlocksOp
 RepresentativesMinimalBlocksAttr
 SetRepresentativesMinimalBlocksAttr
-IsRepresentativesMinimalBlocksAttr
+HasRepresentativesMinimalBlocksAttr
 RepresentativesMinimalBlocksOp
 Earns
 SetEarns
-IsEarns
+HasEarns
 IsTransitive
 SetIsTransitive
-IsIsTransitive
+HasIsTransitive
 IsPrimitive
 SetIsPrimitive
-IsIsPrimitive
+HasIsPrimitive
 IsPrimitiveAffine
 SetIsPrimitiveAffine
-IsIsPrimitiveAffine
+HasIsPrimitiveAffine
 IsSemiRegular
 SetIsSemiRegular
-IsIsSemiRegular
+HasIsSemiRegular
 IsRegular
 SetIsRegular
-IsIsRegular
+HasIsRegular
 RankAction
 SetRankAction
-IsRankAction
+HasRankAction
 PermutationOp
 PermutationCycleOp
 CycleOp
@@ -6941,53 +6941,53 @@ DomainForAction
 StabChainOp
 StabChainMutable
 SetStabChainMutable
-IsStabChainMutable
+HasStabChainMutable
 StabChainImmutable
 SetStabChainImmutable
-IsStabChainImmutable
+HasStabChainImmutable
 StabChainOptions
 SetStabChainOptions
-IsStabChainOptions
+HasStabChainOptions
 BaseOfGroup
 SetBaseOfGroup
-IsBaseOfGroup
+HasBaseOfGroup
 MinimalStabChain
 SetMinimalStabChain
-IsMinimalStabChain
+HasMinimalStabChain
 MembershipTestKnownBase
 PermOnEnumerator
 ConjugacyClass
 RationalClass
 DecomposedRationalClass
 SetDecomposedRationalClass
-IsDecomposedRationalClass
+HasDecomposedRationalClass
 StoredPermliftSeries
 SetStoredPermliftSeries
-IsStoredPermliftSeries
+HasStoredPermliftSeries
 AscendingChainOp
 ComputedAscendingChains
 SetComputedAscendingChains
-IsComputedAscendingChains
+HasComputedAscendingChains
 CanonicalRightCosetElement
 LeftActingGroup
 SetLeftActingGroup
-IsLeftActingGroup
+HasLeftActingGroup
 RightActingGroup
 SetRightActingGroup
-IsRightActingGroup
+HasRightActingGroup
 DoubleCoset
 DoubleCosetsNC
 DoubleCosetRepsAndSizes
 RepresentativesContainedRightCosets
 SetRepresentativesContainedRightCosets
-IsRepresentativesContainedRightCosets
+HasRepresentativesContainedRightCosets
 RightCoset
 RightCosetsNC
 DoCheapActionImages
 FindActionKernel
 NaturalHomomorphismsPool
 SetNaturalHomomorphismsPool
-IsNaturalHomomorphismsPool
+HasNaturalHomomorphismsPool
 FactorCosetAction
 AbsolutIrreducibleModules
 IrreducibleModules
@@ -7013,277 +7013,277 @@ TopExtensionsByAutomorphism
 CyclicTopExtensions
 SocleComplement
 SetSocleComplement
-IsSocleComplement
+HasSocleComplement
 SocleDimensions
 SetSocleDimensions
-IsSocleDimensions
+HasSocleDimensions
 ModuleOfExtension
 SetModuleOfExtension
-IsModuleOfExtension
+HasModuleOfExtension
 OmegaAndLowerPCentralSeries
 SetOmegaAndLowerPCentralSeries
-IsOmegaAndLowerPCentralSeries
+HasOmegaAndLowerPCentralSeries
 SchurCover
 SetSchurCover
-IsSchurCover
+HasSchurCover
 EpimorphismSchurCover
 SetEpimorphismSchurCover
-IsEpimorphismSchurCover
+HasEpimorphismSchurCover
 AbelianInvariantsMultiplier
 SetAbelianInvariantsMultiplier
-IsAbelianInvariantsMultiplier
+HasAbelianInvariantsMultiplier
 Epicentre
 SetEpicentre
-IsEpicentre
+HasEpicentre
 NonabelianExteriorSquare
 EpimorphismNonabelianExteriorSquare
 IsCentralFactor
 SetIsCentralFactor
-IsIsCentralFactor
+HasIsCentralFactor
 SchurCoverOfSymmetricGroup
 DoubleCoverOfAlternatingGroup
 ConjugacyClassSubgroups
 ClassElementLattice
 Zuppos
 SetZuppos
-IsZuppos
+HasZuppos
 MaximalSubgroupsLattice
 SetMaximalSubgroupsLattice
-IsMaximalSubgroupsLattice
+HasMaximalSubgroupsLattice
 MinimalSupergroupsLattice
 SetMinimalSupergroupsLattice
-IsMinimalSupergroupsLattice
+HasMinimalSupergroupsLattice
 TomDataAlmostSimpleRecognition
 SetTomDataAlmostSimpleRecognition
-IsTomDataAlmostSimpleRecognition
+HasTomDataAlmostSimpleRecognition
 SubgroupsOrbitsAndNormalizers
 IsFrattiniFree
 SetIsFrattiniFree
-IsIsFrattiniFree
+HasIsFrattiniFree
 LinesOfStraightLineProgram
 SetLinesOfStraightLineProgram
-IsLinesOfStraightLineProgram
+HasLinesOfStraightLineProgram
 NrInputsOfStraightLineProgram
 SetNrInputsOfStraightLineProgram
-IsNrInputsOfStraightLineProgram
+HasNrInputsOfStraightLineProgram
 ResultOfStraightLineProgram
 StraightLineProgElmType
 SetStraightLineProgElmType
-IsStraightLineProgElmType
+HasStraightLineProgElmType
 StretchImportantSLPElement
 SlotUsagePattern
 SetSlotUsagePattern
-IsSlotUsagePattern
+HasSlotUsagePattern
 LargestNrSlots
 SetLargestNrSlots
-IsLargestNrSlots
+HasLargestNrSlots
 TypeOfObjWithMemory
 SetTypeOfObjWithMemory
-IsTypeOfObjWithMemory
+HasTypeOfObjWithMemory
 StripMemory
 ForgetMemory
 FpElmEqualityMethod
 SetFpElmEqualityMethod
-IsFpElmEqualityMethod
+HasFpElmEqualityMethod
 FpElmComparisonMethod
 SetFpElmComparisonMethod
-IsFpElmComparisonMethod
+HasFpElmComparisonMethod
 FpElementNFFunction
 SetFpElementNFFunction
-IsFpElementNFFunction
+HasFpElementNFFunction
 ElementOfFpGroup
 CosetTableInWholeGroup
 SetCosetTableInWholeGroup
-IsCosetTableInWholeGroup
+HasCosetTableInWholeGroup
 TryCosetTableInWholeGroup
 CosetTableNormalClosureInWholeGroup
 SetCosetTableNormalClosureInWholeGroup
-IsCosetTableNormalClosureInWholeGroup
+HasCosetTableNormalClosureInWholeGroup
 AsSubgroupOfWholeGroupByQuotient
 SetAsSubgroupOfWholeGroupByQuotient
-IsAsSubgroupOfWholeGroupByQuotient
+HasAsSubgroupOfWholeGroupByQuotient
 LowIndexSubgroupsFpGroupIterator
 LowIndexSubgroupsFpGroup
 FreeGeneratorsOfFpGroup
 SetFreeGeneratorsOfFpGroup
-IsFreeGeneratorsOfFpGroup
+HasFreeGeneratorsOfFpGroup
 FreeGeneratorsOfWholeGroup
 RelatorsOfFpGroup
 SetRelatorsOfFpGroup
-IsRelatorsOfFpGroup
+HasRelatorsOfFpGroup
 FreeGroupOfFpGroup
 SetFreeGroupOfFpGroup
-IsFreeGroupOfFpGroup
+HasFreeGroupOfFpGroup
 IndicesInvolutaryGenerators
 SetIndicesInvolutaryGenerators
-IsIndicesInvolutaryGenerators
+HasIndicesInvolutaryGenerators
 StoredExcludedOrders
 SetStoredExcludedOrders
-IsStoredExcludedOrders
+HasStoredExcludedOrders
 FPFaithHom
 SetFPFaithHom
-IsFPFaithHom
+HasFPFaithHom
 AugmentedCosetTableMtcInWholeGroup
 SetAugmentedCosetTableMtcInWholeGroup
-IsAugmentedCosetTableMtcInWholeGroup
+HasAugmentedCosetTableMtcInWholeGroup
 AugmentedCosetTableRrsInWholeGroup
 SetAugmentedCosetTableRrsInWholeGroup
-IsAugmentedCosetTableRrsInWholeGroup
+HasAugmentedCosetTableRrsInWholeGroup
 AugmentedCosetTableNormalClosureInWholeGroup
 SetAugmentedCosetTableNormalClosureInWholeGroup
-IsAugmentedCosetTableNormalClosureInWholeGroup
+HasAugmentedCosetTableNormalClosureInWholeGroup
 AugmentedCosetTableNormalClosure
 CosetTableBySubgroup
 PrimaryGeneratorWords
 SetPrimaryGeneratorWords
-IsPrimaryGeneratorWords
+HasPrimaryGeneratorWords
 TietzeOrigin
 SetTietzeOrigin
-IsTietzeOrigin
+HasTietzeOrigin
 TzOptions
 SetTzOptions
-IsTzOptions
+HasTzOptions
 IsWordDecompHomomorphism
 SetIsWordDecompHomomorphism
-IsIsWordDecompHomomorphism
+HasIsWordDecompHomomorphism
 CosetTableFpHom
 SetCosetTableFpHom
-IsCosetTableFpHom
+HasCosetTableFpHom
 IsomorphismSimplifiedFpGroup
 SetIsomorphismSimplifiedFpGroup
-IsIsomorphismSimplifiedFpGroup
+HasIsomorphismSimplifiedFpGroup
 EpimorphismFromFreeGroup
 SetEpimorphismFromFreeGroup
-IsEpimorphismFromFreeGroup
+HasEpimorphismFromFreeGroup
 NiceMonomorphism
 SetNiceMonomorphism
-IsNiceMonomorphism
+HasNiceMonomorphism
 IsCanonicalNiceMonomorphism
 SetIsCanonicalNiceMonomorphism
-IsIsCanonicalNiceMonomorphism
+HasIsCanonicalNiceMonomorphism
 CanonicalNiceMonomorphism
 SetCanonicalNiceMonomorphism
-IsCanonicalNiceMonomorphism
+HasCanonicalNiceMonomorphism
 NiceObject
 SetNiceObject
-IsNiceObject
+HasNiceObject
 IsHandledByNiceMonomorphism
 SetIsHandledByNiceMonomorphism
-IsIsHandledByNiceMonomorphism
+HasIsHandledByNiceMonomorphism
 GroupByNiceMonomorphism
 SeedFaithfulAction
 SetSeedFaithfulAction
-IsSeedFaithfulAction
+HasSeedFaithfulAction
 AutomorphismGroup
 SetAutomorphismGroup
-IsAutomorphismGroup
+HasAutomorphismGroup
 IsGroupOfAutomorphisms
 SetIsGroupOfAutomorphisms
-IsIsGroupOfAutomorphisms
+HasIsGroupOfAutomorphisms
 IsGroupOfAutomorphismsFiniteGroup
 SetIsGroupOfAutomorphismsFiniteGroup
-IsIsGroupOfAutomorphismsFiniteGroup
+HasIsGroupOfAutomorphismsFiniteGroup
 AutomorphismDomain
 SetAutomorphismDomain
-IsAutomorphismDomain
+HasAutomorphismDomain
 IsAutomorphismGroup
 SetIsAutomorphismGroup
-IsIsAutomorphismGroup
+HasIsAutomorphismGroup
 InnerAutomorphismsAutomorphismGroup
 SetInnerAutomorphismsAutomorphismGroup
-IsInnerAutomorphismsAutomorphismGroup
+HasInnerAutomorphismsAutomorphismGroup
 GQuotients
 IsomorphicSubgroups
 DefaultFieldOfMatrixGroup
 SetDefaultFieldOfMatrixGroup
-IsDefaultFieldOfMatrixGroup
+HasDefaultFieldOfMatrixGroup
 DimensionOfMatrixGroup
 SetDimensionOfMatrixGroup
-IsDimensionOfMatrixGroup
+HasDimensionOfMatrixGroup
 FieldOfMatrixGroup
 SetFieldOfMatrixGroup
-IsFieldOfMatrixGroup
+HasFieldOfMatrixGroup
 TransposedMatrixGroup
 SetTransposedMatrixGroup
-IsTransposedMatrixGroup
+HasTransposedMatrixGroup
 IsGeneralLinearGroup
 SetIsGeneralLinearGroup
-IsIsGeneralLinearGroup
+HasIsGeneralLinearGroup
 IsNaturalGL
 SetIsNaturalGL
-IsIsNaturalGL
+HasIsNaturalGL
 IsSpecialLinearGroup
 SetIsSpecialLinearGroup
-IsIsSpecialLinearGroup
+HasIsSpecialLinearGroup
 IsNaturalSL
 SetIsNaturalSL
-IsIsNaturalSL
+HasIsNaturalSL
 IsSubgroupSL
 SetIsSubgroupSL
-IsIsSubgroupSL
+HasIsSubgroupSL
 InvariantBilinearForm
 SetInvariantBilinearForm
-IsInvariantBilinearForm
+HasInvariantBilinearForm
 IsFullSubgroupGLorSLRespectingBilinearForm
 SetIsFullSubgroupGLorSLRespectingBilinearForm
-IsIsFullSubgroupGLorSLRespectingBilinearForm
+HasIsFullSubgroupGLorSLRespectingBilinearForm
 InvariantSesquilinearForm
 SetInvariantSesquilinearForm
-IsInvariantSesquilinearForm
+HasInvariantSesquilinearForm
 IsFullSubgroupGLorSLRespectingSesquilinearForm
 SetIsFullSubgroupGLorSLRespectingSesquilinearForm
-IsIsFullSubgroupGLorSLRespectingSesquilinearForm
+HasIsFullSubgroupGLorSLRespectingSesquilinearForm
 InvariantQuadraticForm
 SetInvariantQuadraticForm
-IsInvariantQuadraticForm
+HasInvariantQuadraticForm
 IsFullSubgroupGLorSLRespectingQuadraticForm
 SetIsFullSubgroupGLorSLRespectingQuadraticForm
-IsIsFullSubgroupGLorSLRespectingQuadraticForm
+HasIsFullSubgroupGLorSLRespectingQuadraticForm
 FittingFreeLiftSetup
 SetFittingFreeLiftSetup
-IsFittingFreeLiftSetup
+HasFittingFreeLiftSetup
 RecogDecompinfoHomomorphism
 SetRecogDecompinfoHomomorphism
-IsRecogDecompinfoHomomorphism
+HasRecogDecompinfoHomomorphism
 DirectFactorsFittingFreeSocle
 SetDirectFactorsFittingFreeSocle
-IsDirectFactorsFittingFreeSocle
+HasDirectFactorsFittingFreeSocle
 ChiefSeriesTF
 SetChiefSeriesTF
-IsChiefSeriesTF
+HasChiefSeriesTF
 IsRationalMatrixGroup
 SetIsRationalMatrixGroup
-IsIsRationalMatrixGroup
+HasIsRationalMatrixGroup
 IsIntegerMatrixGroup
 SetIsIntegerMatrixGroup
-IsIsIntegerMatrixGroup
+HasIsIntegerMatrixGroup
 ZClassRepsQClass
 SetZClassRepsQClass
-IsZClassRepsQClass
+HasZClassRepsQClass
 NormalizerInGLnZ
 SetNormalizerInGLnZ
-IsNormalizerInGLnZ
+HasNormalizerInGLnZ
 CentralizerInGLnZ
 SetCentralizerInGLnZ
-IsCentralizerInGLnZ
+HasCentralizerInGLnZ
 IsBravaisGroup
 SetIsBravaisGroup
-IsIsBravaisGroup
+HasIsBravaisGroup
 BravaisGroup
 SetBravaisGroup
-IsBravaisGroup
+HasBravaisGroup
 BravaisSubgroups
 SetBravaisSubgroups
-IsBravaisSubgroups
+HasBravaisSubgroups
 BravaisSupergroups
 SetBravaisSupergroups
-IsBravaisSupergroups
+HasBravaisSupergroups
 NormalizerInGLnZBravaisGroup
 SetNormalizerInGLnZBravaisGroup
-IsNormalizerInGLnZBravaisGroup
+HasNormalizerInGLnZBravaisGroup
 InvariantLattice
 SetInvariantLattice
-IsInvariantLattice
+HasInvariantLattice
 TrivialGroupCons
 AbelianGroupCons
 AlternatingGroupCons
@@ -7314,33 +7314,33 @@ ProjectiveOmegaCons
 PerfGrpConst
 PerfectIdentification
 SetPerfectIdentification
-IsPerfectIdentification
+HasPerfectIdentification
 SuzukiGroupCons
 ReeGroupCons
 DataAboutSimpleGroup
 SetDataAboutSimpleGroup
-IsDataAboutSimpleGroup
+HasDataAboutSimpleGroup
 ImfRecord
 SetImfRecord
-IsImfRecord
+HasImfRecord
 OrderingsFamily
 SetOrderingsFamily
-IsOrderingsFamily
+HasOrderingsFamily
 IsWellFoundedOrdering
 SetIsWellFoundedOrdering
-IsIsWellFoundedOrdering
+HasIsWellFoundedOrdering
 IsTotalOrdering
 SetIsTotalOrdering
-IsIsTotalOrdering
+HasIsTotalOrdering
 FamilyForOrdering
 SetFamilyForOrdering
-IsFamilyForOrdering
+HasFamilyForOrdering
 LessThanFunction
 SetLessThanFunction
-IsLessThanFunction
+HasLessThanFunction
 LessThanOrEqualFunction
 SetLessThanOrEqualFunction
-IsLessThanOrEqualFunction
+HasLessThanOrEqualFunction
 IsLessThanUnder
 IsLessThanOrEqualUnder
 IsIncomparableUnder
@@ -7348,39 +7348,39 @@ OrderingByLessThanFunctionNC
 OrderingByLessThanOrEqualFunctionNC
 IsOrderingOnFamilyOfAssocWords
 SetIsOrderingOnFamilyOfAssocWords
-IsIsOrderingOnFamilyOfAssocWords
+HasIsOrderingOnFamilyOfAssocWords
 LetterRepWordsLessFunc
 SetLetterRepWordsLessFunc
-IsLetterRepWordsLessFunc
+HasLetterRepWordsLessFunc
 IsTranslationInvariantOrdering
 SetIsTranslationInvariantOrdering
-IsIsTranslationInvariantOrdering
+HasIsTranslationInvariantOrdering
 OrderingOnGenerators
 SetOrderingOnGenerators
-IsOrderingOnGenerators
+HasOrderingOnGenerators
 LexicographicOrdering
 ShortLexOrdering
 IsShortLexOrdering
 SetIsShortLexOrdering
-IsIsShortLexOrdering
+HasIsShortLexOrdering
 WeightLexOrdering
 WeightOfGenerators
 SetWeightOfGenerators
-IsWeightOfGenerators
+HasWeightOfGenerators
 IsWeightLexOrdering
 SetIsWeightLexOrdering
-IsIsWeightLexOrdering
+HasIsWeightLexOrdering
 BasicWreathProductOrdering
 IsBasicWreathProductOrdering
 SetIsBasicWreathProductOrdering
-IsIsBasicWreathProductOrdering
+HasIsBasicWreathProductOrdering
 WreathProductOrdering
 IsWreathProductOrdering
 SetIsWreathProductOrdering
-IsIsWreathProductOrdering
+HasIsWreathProductOrdering
 LevelsOfGenerators
 SetLevelsOfGenerators
-IsLevelsOfGenerators
+HasLevelsOfGenerators
 Transformation
 TransformationListList
 TransformationList
@@ -7389,95 +7389,95 @@ NumberTransformation
 TransformationNumber
 LargestImageOfMovedPoint
 SetLargestImageOfMovedPoint
-IsLargestImageOfMovedPoint
+HasLargestImageOfMovedPoint
 SmallestImageOfMovedPoint
 SetSmallestImageOfMovedPoint
-IsSmallestImageOfMovedPoint
+HasSmallestImageOfMovedPoint
 RankOfTransformation
 SetRankOfTransformation
-IsRankOfTransformation
+HasRankOfTransformation
 AsBinaryRelation
 AsPermutation
 SetAsPermutation
-IsAsPermutation
+HasAsPermutation
 AsTransformation
 SetAsTransformation
-IsAsTransformation
+HasAsTransformation
 ConstantTransformation
 DegreeOfTransformationCollection
 SetDegreeOfTransformationCollection
-IsDegreeOfTransformationCollection
+HasDegreeOfTransformationCollection
 FlatKernelOfTransformation
 SetFlatKernelOfTransformation
-IsFlatKernelOfTransformation
+HasFlatKernelOfTransformation
 IsFlatKernelOfTransformation
 SetIsFlatKernelOfTransformation
-IsIsFlatKernelOfTransformation
+HasIsFlatKernelOfTransformation
 ImageListOfTransformation
 ImageSetOfTransformation
 SetImageSetOfTransformation
-IsImageSetOfTransformation
+HasImageSetOfTransformation
 KernelOfTransformation
 SetKernelOfTransformation
-IsKernelOfTransformation
+HasKernelOfTransformation
 PermLeftQuoTransformation
 PreImagesOfTransformation
 RandomTransformation
 SmallestIdempotentPower
 SetSmallestIdempotentPower
-IsSmallestIdempotentPower
+HasSmallestIdempotentPower
 TrimTransformation
 Idempotent
 TransformationOp
 TransformationOpNC
 ComponentRepsOfTransformation
 SetComponentRepsOfTransformation
-IsComponentRepsOfTransformation
+HasComponentRepsOfTransformation
 NrComponentsOfTransformation
 SetNrComponentsOfTransformation
-IsNrComponentsOfTransformation
+HasNrComponentsOfTransformation
 ComponentsOfTransformation
 SetComponentsOfTransformation
-IsComponentsOfTransformation
+HasComponentsOfTransformation
 ComponentTransformationInt
 CycleTransformationInt
 CyclesOfTransformation
 SetCyclesOfTransformation
-IsCyclesOfTransformation
+HasCyclesOfTransformation
 LeftOne
 SetLeftOne
-IsLeftOne
+HasLeftOne
 RightOne
 SetRightOne
-IsRightOne
+HasRightOne
 OnKernelAntiAction
 DomainOfPartialPerm
 SetDomainOfPartialPerm
-IsDomainOfPartialPerm
+HasDomainOfPartialPerm
 ImageListOfPartialPerm
 SetImageListOfPartialPerm
-IsImageListOfPartialPerm
+HasImageListOfPartialPerm
 ImageSetOfPartialPerm
 SetImageSetOfPartialPerm
-IsImageSetOfPartialPerm
+HasImageSetOfPartialPerm
 IndexPeriodOfPartialPerm
 SetIndexPeriodOfPartialPerm
-IsIndexPeriodOfPartialPerm
+HasIndexPeriodOfPartialPerm
 ComponentRepsOfPartialPerm
 SetComponentRepsOfPartialPerm
-IsComponentRepsOfPartialPerm
+HasComponentRepsOfPartialPerm
 NrComponentsOfPartialPerm
 SetNrComponentsOfPartialPerm
-IsNrComponentsOfPartialPerm
+HasNrComponentsOfPartialPerm
 ComponentsOfPartialPerm
 SetComponentsOfPartialPerm
-IsComponentsOfPartialPerm
+HasComponentsOfPartialPerm
 FixedPointsOfPartialPerm
 SetFixedPointsOfPartialPerm
-IsFixedPointsOfPartialPerm
+HasFixedPointsOfPartialPerm
 NrFixedPoints
 SetNrFixedPoints
-IsNrFixedPoints
+HasNrFixedPoints
 PreImagePartialPerm
 ComponentPartialPermInt
 AsPartialPerm
@@ -7489,109 +7489,109 @@ PartialPermOp
 PartialPermOpNC
 DegreeOfPartialPermCollection
 SetDegreeOfPartialPermCollection
-IsDegreeOfPartialPermCollection
+HasDegreeOfPartialPermCollection
 CodegreeOfPartialPermCollection
 SetCodegreeOfPartialPermCollection
-IsCodegreeOfPartialPermCollection
+HasCodegreeOfPartialPermCollection
 RankOfPartialPermCollection
 SetRankOfPartialPermCollection
-IsRankOfPartialPermCollection
+HasRankOfPartialPermCollection
 DomainOfPartialPermCollection
 SetDomainOfPartialPermCollection
-IsDomainOfPartialPermCollection
+HasDomainOfPartialPermCollection
 ImageOfPartialPermCollection
 SetImageOfPartialPermCollection
-IsImageOfPartialPermCollection
+HasImageOfPartialPermCollection
 TransformationRepresentation
 SetTransformationRepresentation
-IsTransformationRepresentation
+HasTransformationRepresentation
 FpSemigroupOfElementOfFpSemigroup
 ElementOfFpSemigroup
 FreeGeneratorsOfFpSemigroup
 SetFreeGeneratorsOfFpSemigroup
-IsFreeGeneratorsOfFpSemigroup
+HasFreeGeneratorsOfFpSemigroup
 FreeSemigroupOfFpSemigroup
 SetFreeSemigroupOfFpSemigroup
-IsFreeSemigroupOfFpSemigroup
+HasFreeSemigroupOfFpSemigroup
 RelationsOfFpSemigroup
 SetRelationsOfFpSemigroup
-IsRelationsOfFpSemigroup
+HasRelationsOfFpSemigroup
 IsomorphismFpSemigroup
 SetIsomorphismFpSemigroup
-IsIsomorphismFpSemigroup
+HasIsomorphismFpSemigroup
 FpGrpMonSmgOfFpGrpMonSmgElement
 ElementOfFpMonoid
 FpMonoidOfElementOfFpMonoid
 FreeGeneratorsOfFpMonoid
 SetFreeGeneratorsOfFpMonoid
-IsFreeGeneratorsOfFpMonoid
+HasFreeGeneratorsOfFpMonoid
 FreeMonoidOfFpMonoid
 SetFreeMonoidOfFpMonoid
-IsFreeMonoidOfFpMonoid
+HasFreeMonoidOfFpMonoid
 RelationsOfFpMonoid
 SetRelationsOfFpMonoid
-IsRelationsOfFpMonoid
+HasRelationsOfFpMonoid
 IsomorphismFpMonoid
 SetIsomorphismFpMonoid
-IsIsomorphismFpMonoid
+HasIsomorphismFpMonoid
 ReducedConfluentRewritingSystem
 SetReducedConfluentRewritingSystem
-IsReducedConfluentRewritingSystem
+HasReducedConfluentRewritingSystem
 FreeMonoidOfRewritingSystem
 SetFreeMonoidOfRewritingSystem
-IsFreeMonoidOfRewritingSystem
+HasFreeMonoidOfRewritingSystem
 FamilyForRewritingSystem
 SetFamilyForRewritingSystem
-IsFamilyForRewritingSystem
+HasFamilyForRewritingSystem
 FreeSemigroupOfRewritingSystem
 SetFreeSemigroupOfRewritingSystem
-IsFreeSemigroupOfRewritingSystem
+HasFreeSemigroupOfRewritingSystem
 KnuthBendixRewritingSystem
 TzRules
 SetTzRules
-IsTzRules
+HasTzRules
 CosetTableOfFpSemigroup
 SetCosetTableOfFpSemigroup
-IsCosetTableOfFpSemigroup
+HasCosetTableOfFpSemigroup
 AdjoinedIdentityFamily
 SetAdjoinedIdentityFamily
-IsAdjoinedIdentityFamily
+HasAdjoinedIdentityFamily
 UnderlyingSemigroupFamily
 SetUnderlyingSemigroupFamily
-IsUnderlyingSemigroupFamily
+HasUnderlyingSemigroupFamily
 AdjoinedIdentityDefaultType
 SetAdjoinedIdentityDefaultType
-IsAdjoinedIdentityDefaultType
+HasAdjoinedIdentityDefaultType
 MonoidByAdjoiningIdentity
 SetMonoidByAdjoiningIdentity
-IsMonoidByAdjoiningIdentity
+HasMonoidByAdjoiningIdentity
 UnderlyingSemigroupOfMonoidByAdjoiningIdentity
 SetUnderlyingSemigroupOfMonoidByAdjoiningIdentity
-IsUnderlyingSemigroupOfMonoidByAdjoiningIdentity
+HasUnderlyingSemigroupOfMonoidByAdjoiningIdentity
 MonoidByAdjoiningIdentityElt
 SetMonoidByAdjoiningIdentityElt
-IsMonoidByAdjoiningIdentityElt
+HasMonoidByAdjoiningIdentityElt
 UnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt
 SetUnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt
-IsUnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt
+HasUnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt
 IsFiniteSemigroupGreensRelation
 SetIsFiniteSemigroupGreensRelation
-IsIsFiniteSemigroupGreensRelation
+HasIsFiniteSemigroupGreensRelation
 GreensRRelation
 SetGreensRRelation
-IsGreensRRelation
+HasGreensRRelation
 GreensLRelation
 SetGreensLRelation
-IsGreensLRelation
+HasGreensLRelation
 GreensJRelation
 SetGreensJRelation
-IsGreensJRelation
+HasGreensJRelation
 GreensDRelation
 SetGreensDRelation
-IsGreensDRelation
+HasGreensDRelation
 GreensHRelation
 SetGreensHRelation
-IsGreensHRelation
+HasGreensHRelation
 GreensRClassOfElement
 GreensLClassOfElement
 GreensDClassOfElement
@@ -7601,83 +7601,83 @@ FroidurePinSimpleAlg
 FroidurePinExtendedAlg
 AssociatedConcreteSemigroup
 SetAssociatedConcreteSemigroup
-IsAssociatedConcreteSemigroup
+HasAssociatedConcreteSemigroup
 AssociatedFpSemigroup
 SetAssociatedFpSemigroup
-IsAssociatedFpSemigroup
+HasAssociatedFpSemigroup
 GreensRClasses
 SetGreensRClasses
-IsGreensRClasses
+HasGreensRClasses
 GreensLClasses
 SetGreensLClasses
-IsGreensLClasses
+HasGreensLClasses
 GreensJClasses
 SetGreensJClasses
-IsGreensJClasses
+HasGreensJClasses
 GreensDClasses
 SetGreensDClasses
-IsGreensDClasses
+HasGreensDClasses
 GreensHClasses
 SetGreensHClasses
-IsGreensHClasses
+HasGreensHClasses
 IsGreensLessThanOrEqual
 RClassOfHClass
 SetRClassOfHClass
-IsRClassOfHClass
+HasRClassOfHClass
 LClassOfHClass
 SetLClassOfHClass
-IsLClassOfHClass
+HasLClassOfHClass
 DClassOfHClass
 SetDClassOfHClass
-IsDClassOfHClass
+HasDClassOfHClass
 DClassOfLClass
 SetDClassOfLClass
-IsDClassOfLClass
+HasDClassOfLClass
 DClassOfRClass
 SetDClassOfRClass
-IsDClassOfRClass
+HasDClassOfRClass
 GroupHClassOfGreensDClass
 SetGroupHClassOfGreensDClass
-IsGroupHClassOfGreensDClass
+HasGroupHClassOfGreensDClass
 IsRegularDClass
 SetIsRegularDClass
-IsIsRegularDClass
+HasIsRegularDClass
 IsGroupHClass
 SetIsGroupHClass
-IsIsGroupHClass
+HasIsGroupHClass
 EggBoxOfDClass
 SetEggBoxOfDClass
-IsEggBoxOfDClass
+HasEggBoxOfDClass
 InternalRepGreensRelation
 SetInternalRepGreensRelation
-IsInternalRepGreensRelation
+HasInternalRepGreensRelation
 CanonicalGreensClass
 SetCanonicalGreensClass
-IsCanonicalGreensClass
+HasCanonicalGreensClass
 DisplayEggBoxesOfSemigroup
 SemigroupHomomorphismByImagesNC
 IsFpSemigpReducedElt
 SetIsFpSemigpReducedElt
-IsIsFpSemigpReducedElt
+HasIsFpSemigpReducedElt
 IsFpMonoidReducedElt
 SetIsFpMonoidReducedElt
-IsIsFpMonoidReducedElt
+HasIsFpMonoidReducedElt
 IsFullTransformationSemigroup
 SetIsFullTransformationSemigroup
-IsIsFullTransformationSemigroup
+HasIsFullTransformationSemigroup
 DegreeOfTransformationSemigroup
 SetDegreeOfTransformationSemigroup
-IsDegreeOfTransformationSemigroup
+HasDegreeOfTransformationSemigroup
 IsomorphismTransformationSemigroup
 SetIsomorphismTransformationSemigroup
-IsIsomorphismTransformationSemigroup
+HasIsomorphismTransformationSemigroup
 IsomorphismTransformationMonoid
 SetIsomorphismTransformationMonoid
-IsIsomorphismTransformationMonoid
+HasIsomorphismTransformationMonoid
 HomomorphismTransformationSemigroup
 AntiIsomorphismTransformationSemigroup
 SetAntiIsomorphismTransformationSemigroup
-IsAntiIsomorphismTransformationSemigroup
+HasAntiIsomorphismTransformationSemigroup
 RowOfReesMatrixSemigroupElement
 RowOfReesZeroMatrixSemigroupElement
 ColumnOfReesMatrixSemigroupElement
@@ -7686,10 +7686,10 @@ UnderlyingElementOfReesMatrixSemigroupElement
 UnderlyingElementOfReesZeroMatrixSemigroupElement
 IsReesMatrixSemigroup
 SetIsReesMatrixSemigroup
-IsIsReesMatrixSemigroup
+HasIsReesMatrixSemigroup
 IsReesZeroMatrixSemigroup
 SetIsReesZeroMatrixSemigroup
-IsIsReesZeroMatrixSemigroup
+HasIsReesZeroMatrixSemigroup
 ReesMatrixSemigroup
 ReesZeroMatrixSemigroup
 GeneratorsOfReesMatrixSemigroup
@@ -7697,290 +7697,290 @@ ReesMatrixSubsemigroup
 GeneratorsOfReesZeroMatrixSemigroup
 ReesZeroMatrixSubsemigroup
 SetMatrix
-IsMatrix
+HasMatrix
 Rows
 SetRows
-IsRows
+HasRows
 Columns
 SetColumns
-IsColumns
+HasColumns
 UnderlyingSemigroup
 SetUnderlyingSemigroup
-IsUnderlyingSemigroup
+HasUnderlyingSemigroup
 AssociatedReesMatrixSemigroupOfDClass
 SetAssociatedReesMatrixSemigroupOfDClass
-IsAssociatedReesMatrixSemigroupOfDClass
+HasAssociatedReesMatrixSemigroupOfDClass
 IsomorphismReesMatrixSemigroup
 SetIsomorphismReesMatrixSemigroup
-IsIsomorphismReesMatrixSemigroup
+HasIsomorphismReesMatrixSemigroup
 IsomorphismReesZeroMatrixSemigroup
 SetIsomorphismReesZeroMatrixSemigroup
-IsIsomorphismReesZeroMatrixSemigroup
+HasIsomorphismReesZeroMatrixSemigroup
 ReesMatrixSemigroupOfFamily
 SetReesMatrixSemigroupOfFamily
-IsReesMatrixSemigroupOfFamily
+HasReesMatrixSemigroupOfFamily
 TypeReesMatrixSemigroupElements
 SetTypeReesMatrixSemigroupElements
-IsTypeReesMatrixSemigroupElements
+HasTypeReesMatrixSemigroupElements
 QuotientSemigroupPreimage
 SetQuotientSemigroupPreimage
-IsQuotientSemigroupPreimage
+HasQuotientSemigroupPreimage
 QuotientSemigroupCongruence
 SetQuotientSemigroupCongruence
-IsQuotientSemigroupCongruence
+HasQuotientSemigroupCongruence
 QuotientSemigroupHomomorphism
 SetQuotientSemigroupHomomorphism
-IsQuotientSemigroupHomomorphism
+HasQuotientSemigroupHomomorphism
 DegreeOfPartialPermSemigroup
 SetDegreeOfPartialPermSemigroup
-IsDegreeOfPartialPermSemigroup
+HasDegreeOfPartialPermSemigroup
 CodegreeOfPartialPermSemigroup
 SetCodegreeOfPartialPermSemigroup
-IsCodegreeOfPartialPermSemigroup
+HasCodegreeOfPartialPermSemigroup
 RankOfPartialPermSemigroup
 SetRankOfPartialPermSemigroup
-IsRankOfPartialPermSemigroup
+HasRankOfPartialPermSemigroup
 IsSymmetricInverseSemigroup
 SetIsSymmetricInverseSemigroup
-IsIsSymmetricInverseSemigroup
+HasIsSymmetricInverseSemigroup
 SymmetricInverseSemigroup
 IsomorphismPartialPermSemigroup
 SetIsomorphismPartialPermSemigroup
-IsIsomorphismPartialPermSemigroup
+HasIsomorphismPartialPermSemigroup
 IsomorphismPartialPermMonoid
 SetIsomorphismPartialPermMonoid
-IsIsomorphismPartialPermMonoid
+HasIsomorphismPartialPermMonoid
 UnderlyingGroup
 SetUnderlyingGroup
-IsUnderlyingGroup
+HasUnderlyingGroup
 IdentificationOfConjugacyClasses
 SetIdentificationOfConjugacyClasses
-IsIdentificationOfConjugacyClasses
+HasIdentificationOfConjugacyClasses
 CompatibleConjugacyClasses
 CharacterDegrees
 SetCharacterDegrees
-IsCharacterDegrees
+HasCharacterDegrees
 Irr
 SetIrr
-IsIrr
+HasIrr
 LinearCharacters
 SetLinearCharacters
-IsLinearCharacters
+HasLinearCharacters
 IBr
 SetIBr
-IsIBr
+HasIBr
 OrdinaryCharacterTable
 SetOrdinaryCharacterTable
-IsOrdinaryCharacterTable
+HasOrdinaryCharacterTable
 IsAlmostSimpleCharacterTable
 SetIsAlmostSimpleCharacterTable
-IsIsAlmostSimpleCharacterTable
+HasIsAlmostSimpleCharacterTable
 IsMonomialCharacterTable
 SetIsMonomialCharacterTable
-IsIsMonomialCharacterTable
+HasIsMonomialCharacterTable
 IsNilpotentCharacterTable
 SetIsNilpotentCharacterTable
-IsIsNilpotentCharacterTable
+HasIsNilpotentCharacterTable
 IsPerfectCharacterTable
 SetIsPerfectCharacterTable
-IsIsPerfectCharacterTable
+HasIsPerfectCharacterTable
 IsSimpleCharacterTable
 SetIsSimpleCharacterTable
-IsIsSimpleCharacterTable
+HasIsSimpleCharacterTable
 IsSolvableCharacterTable
 SetIsSolvableCharacterTable
-IsIsSolvableCharacterTable
+HasIsSolvableCharacterTable
 IsSporadicSimpleCharacterTable
 SetIsSporadicSimpleCharacterTable
-IsIsSporadicSimpleCharacterTable
+HasIsSporadicSimpleCharacterTable
 IsSupersolvableCharacterTable
 SetIsSupersolvableCharacterTable
-IsIsSupersolvableCharacterTable
+HasIsSupersolvableCharacterTable
 OrdersClassRepresentatives
 SetOrdersClassRepresentatives
-IsOrdersClassRepresentatives
+HasOrdersClassRepresentatives
 SizesCentralizers
 SetSizesCentralizers
-IsSizesCentralizers
+HasSizesCentralizers
 SizesConjugacyClasses
 SetSizesConjugacyClasses
-IsSizesConjugacyClasses
+HasSizesConjugacyClasses
 AutomorphismsOfTable
 SetAutomorphismsOfTable
-IsAutomorphismsOfTable
+HasAutomorphismsOfTable
 UnderlyingCharacteristic
 SetUnderlyingCharacteristic
-IsUnderlyingCharacteristic
+HasUnderlyingCharacteristic
 ClassNames
 SetClassNames
-IsClassNames
+HasClassNames
 CharacterNames
 SetCharacterNames
-IsCharacterNames
+HasCharacterNames
 ClassParameters
 SetClassParameters
-IsClassParameters
+HasClassParameters
 CharacterParameters
 SetCharacterParameters
-IsCharacterParameters
+HasCharacterParameters
 Identifier
 SetIdentifier
-IsIdentifier
+HasIdentifier
 InverseClasses
 SetInverseClasses
-IsInverseClasses
+HasInverseClasses
 RealClasses
 SetRealClasses
-IsRealClasses
+HasRealClasses
 ClassOrbit
 ClassRoots
 SetClassRoots
-IsClassRoots
+HasClassRoots
 ClassPositionsOfNormalSubgroups
 SetClassPositionsOfNormalSubgroups
-IsClassPositionsOfNormalSubgroups
+HasClassPositionsOfNormalSubgroups
 ClassPositionsOfMaximalNormalSubgroups
 SetClassPositionsOfMaximalNormalSubgroups
-IsClassPositionsOfMaximalNormalSubgroups
+HasClassPositionsOfMaximalNormalSubgroups
 ClassPositionsOfMinimalNormalSubgroups
 SetClassPositionsOfMinimalNormalSubgroups
-IsClassPositionsOfMinimalNormalSubgroups
+HasClassPositionsOfMinimalNormalSubgroups
 ClassPositionsOfAgemo
 ClassPositionsOfCentre
 SetClassPositionsOfCentre
-IsClassPositionsOfCentre
+HasClassPositionsOfCentre
 ClassPositionsOfDirectProductDecompositions
 SetClassPositionsOfDirectProductDecompositions
-IsClassPositionsOfDirectProductDecompositions
+HasClassPositionsOfDirectProductDecompositions
 ClassPositionsOfDerivedSubgroup
 SetClassPositionsOfDerivedSubgroup
-IsClassPositionsOfDerivedSubgroup
+HasClassPositionsOfDerivedSubgroup
 ClassPositionsOfElementaryAbelianSeries
 SetClassPositionsOfElementaryAbelianSeries
-IsClassPositionsOfElementaryAbelianSeries
+HasClassPositionsOfElementaryAbelianSeries
 ClassPositionsOfFittingSubgroup
 SetClassPositionsOfFittingSubgroup
-IsClassPositionsOfFittingSubgroup
+HasClassPositionsOfFittingSubgroup
 ClassPositionsOfSolvableRadical
 SetClassPositionsOfSolvableRadical
-IsClassPositionsOfSolvableRadical
+HasClassPositionsOfSolvableRadical
 ClassPositionsOfLowerCentralSeries
 SetClassPositionsOfLowerCentralSeries
-IsClassPositionsOfLowerCentralSeries
+HasClassPositionsOfLowerCentralSeries
 ClassPositionsOfUpperCentralSeries
 SetClassPositionsOfUpperCentralSeries
-IsClassPositionsOfUpperCentralSeries
+HasClassPositionsOfUpperCentralSeries
 ClassPositionsOfSolvableResiduum
 SetClassPositionsOfSolvableResiduum
-IsClassPositionsOfSolvableResiduum
+HasClassPositionsOfSolvableResiduum
 ClassPositionsOfSupersolvableResiduum
 SetClassPositionsOfSupersolvableResiduum
-IsClassPositionsOfSupersolvableResiduum
+HasClassPositionsOfSupersolvableResiduum
 ClassPositionsOfPCore
 ClassPositionsOfNormalClosure
 PrimeBlocks
 PrimeBlocksOp
 ComputedPrimeBlockss
 SetComputedPrimeBlockss
-IsComputedPrimeBlockss
+HasComputedPrimeBlockss
 BlocksInfo
 SetBlocksInfo
-IsBlocksInfo
+HasBlocksInfo
 DecompositionMatrix
 SetDecompositionMatrix
-IsDecompositionMatrix
+HasDecompositionMatrix
 IsPSolvableCharacterTable
 IsPSolvableCharacterTableOp
 ComputedIsPSolvableCharacterTables
 SetComputedIsPSolvableCharacterTables
-IsComputedIsPSolvableCharacterTables
+HasComputedIsPSolvableCharacterTables
 Indicator
 IndicatorOp
 ComputedIndicators
 SetComputedIndicators
-IsComputedIndicators
+HasComputedIndicators
 CharacterTable
 BrauerTable
 BrauerTableOp
 ComputedBrauerTables
 SetComputedBrauerTables
-IsComputedBrauerTables
+HasComputedBrauerTables
 DisplayOptions
 SetDisplayOptions
-IsDisplayOptions
+HasDisplayOptions
 CharacterTableDirectProduct
 FactorsOfDirectProduct
 SetFactorsOfDirectProduct
-IsFactorsOfDirectProduct
+HasFactorsOfDirectProduct
 CharacterTableFactorGroup
 CharacterTableIsoclinic
 SetCharacterTableIsoclinic
-IsCharacterTableIsoclinic
+HasCharacterTableIsoclinic
 SourceOfIsoclinicTable
 SetSourceOfIsoclinicTable
-IsSourceOfIsoclinicTable
+HasSourceOfIsoclinicTable
 CharacterTableWithSortedCharacters
 SortedCharacters
 CharacterTableWithSortedClasses
 ClassPermutation
 SetClassPermutation
-IsClassPermutation
+HasClassPermutation
 NormalSubgroupClassesInfo
 SetNormalSubgroupClassesInfo
-IsNormalSubgroupClassesInfo
+HasNormalSubgroupClassesInfo
 UnderlyingCharacterTable
 SetUnderlyingCharacterTable
-IsUnderlyingCharacterTable
+HasUnderlyingCharacterTable
 ValuesOfClassFunction
 SetValuesOfClassFunction
-IsValuesOfClassFunction
+HasValuesOfClassFunction
 GlobalPartitionOfClasses
 SetGlobalPartitionOfClasses
-IsGlobalPartitionOfClasses
+HasGlobalPartitionOfClasses
 CorrespondingPermutations
 ClassFunction
 VirtualCharacter
 Character
 TrivialCharacter
 SetTrivialCharacter
-IsTrivialCharacter
+HasTrivialCharacter
 NaturalCharacter
 SetNaturalCharacter
-IsNaturalCharacter
+HasNaturalCharacter
 PermutationCharacter
 IsCharacter
 SetIsCharacter
-IsIsCharacter
+HasIsCharacter
 IsVirtualCharacter
 SetIsVirtualCharacter
-IsIsVirtualCharacter
+HasIsVirtualCharacter
 IsIrreducibleCharacter
 SetIsIrreducibleCharacter
-IsIsIrreducibleCharacter
+HasIsIrreducibleCharacter
 MatScalarProducts
 CentreOfCharacter
 SetCentreOfCharacter
-IsCentreOfCharacter
+HasCentreOfCharacter
 ConstituentsOfCharacter
 SetConstituentsOfCharacter
-IsConstituentsOfCharacter
+HasConstituentsOfCharacter
 DegreeOfCharacter
 SetDegreeOfCharacter
-IsDegreeOfCharacter
+HasDegreeOfCharacter
 InertiaSubgroup
 KernelOfCharacter
 SetKernelOfCharacter
-IsKernelOfCharacter
+HasKernelOfCharacter
 ClassPositionsOfKernel
 SetClassPositionsOfKernel
-IsClassPositionsOfKernel
+HasClassPositionsOfKernel
 CycleStructureClass
 CentralCharacter
 SetCentralCharacter
-IsCentralCharacter
+HasCentralCharacter
 DeterminantOfCharacter
 SetDeterminantOfCharacter
-IsDeterminantOfCharacter
+HasDeterminantOfCharacter
 EigenvaluesChar
 Tensored
 RestrictedClassFunction
@@ -7995,23 +7995,23 @@ ReducedCharacters
 Symmetrizations
 BrauerCharacterValue
 SetBrauerCharacterValue
-IsBrauerCharacterValue
+HasBrauerCharacterValue
 PowerMap
 PowerMapOp
 ComputedPowerMaps
 SetComputedPowerMaps
-IsComputedPowerMaps
+HasComputedPowerMaps
 PossiblePowerMaps
 FusionConjugacyClasses
 FusionConjugacyClassesOp
 SetFusionConjugacyClassesOp
-IsFusionConjugacyClassesOp
+HasFusionConjugacyClassesOp
 ComputedClassFusions
 SetComputedClassFusions
-IsComputedClassFusions
+HasComputedClassFusions
 NamesOfFusionSources
 SetNamesOfFusionSources
-IsNamesOfFusionSources
+HasNamesOfFusionSources
 PossibleClassFusions
 MatrixAutomorphisms
 TableAutomorphisms
@@ -8019,155 +8019,155 @@ TransformingPermutations
 TransformingPermutationsCharacterTables
 BaumClausenInfo
 SetBaumClausenInfo
-IsBaumClausenInfo
+HasBaumClausenInfo
 IrreducibleRepresentations
 SetIrreducibleRepresentations
-IsIrreducibleRepresentations
+HasIrreducibleRepresentations
 IrrBaumClausen
 SetIrrBaumClausen
-IsIrrBaumClausen
+HasIrrBaumClausen
 IrrConlon
 SetIrrConlon
-IsIrrConlon
+HasIrrConlon
 Inequalities
 MolienSeriesInfo
 SetMolienSeriesInfo
-IsMolienSeriesInfo
+HasMolienSeriesInfo
 Alpha
 SetAlpha
-IsAlpha
+HasAlpha
 Delta
 SetDelta
-IsDelta
+HasDelta
 IsBergerCondition
 SetIsBergerCondition
-IsIsBergerCondition
+HasIsBergerCondition
 IsPrimitiveCharacter
 SetIsPrimitiveCharacter
-IsIsPrimitiveCharacter
+HasIsPrimitiveCharacter
 TestQuasiPrimitive
 SetTestQuasiPrimitive
-IsTestQuasiPrimitive
+HasTestQuasiPrimitive
 IsQuasiPrimitive
 SetIsQuasiPrimitive
-IsIsQuasiPrimitive
+HasIsQuasiPrimitive
 IsInducedFromNormalSubgroup
 SetIsInducedFromNormalSubgroup
-IsIsInducedFromNormalSubgroup
+HasIsInducedFromNormalSubgroup
 IsMonomialCharacter
 SetIsMonomialCharacter
-IsIsMonomialCharacter
+HasIsMonomialCharacter
 IsMonomialNumber
 SetIsMonomialNumber
-IsIsMonomialNumber
+HasIsMonomialNumber
 TestMonomialQuick
 SetTestMonomialQuick
-IsTestMonomialQuick
+HasTestMonomialQuick
 TestMonomial
 SetTestMonomial
-IsTestMonomial
+HasTestMonomial
 TestSubnormallyMonomial
 SetTestSubnormallyMonomial
-IsTestSubnormallyMonomial
+HasTestSubnormallyMonomial
 IsSubnormallyMonomial
 SetIsSubnormallyMonomial
-IsIsSubnormallyMonomial
+HasIsSubnormallyMonomial
 TestRelativelySM
 SetTestRelativelySM
-IsTestRelativelySM
+HasTestRelativelySM
 IsRelativelySM
 SetIsRelativelySM
-IsIsRelativelySM
+HasIsRelativelySM
 IsMinimalNonmonomial
 SetIsMinimalNonmonomial
-IsIsMinimalNonmonomial
+HasIsMinimalNonmonomial
 DixonRecord
 SetDixonRecord
-IsDixonRecord
+HasDixonRecord
 DxPreparation
 IrrDixonSchneider
 SetIrrDixonSchneider
-IsIrrDixonSchneider
+HasIrrDixonSchneider
 TableOfMarks
 SetTableOfMarks
-IsTableOfMarks
+HasTableOfMarks
 SortedTom
 PermutationTom
 SetPermutationTom
-IsPermutationTom
+HasPermutationTom
 MarksTom
 SetMarksTom
-IsMarksTom
+HasMarksTom
 SubsTom
 SetSubsTom
-IsSubsTom
+HasSubsTom
 NrSubsTom
 SetNrSubsTom
-IsNrSubsTom
+HasNrSubsTom
 OrdersTom
 SetOrdersTom
-IsOrdersTom
+HasOrdersTom
 LengthsTom
 SetLengthsTom
-IsLengthsTom
+HasLengthsTom
 ClassTypesTom
 SetClassTypesTom
-IsClassTypesTom
+HasClassTypesTom
 ClassNamesTom
 SetClassNamesTom
-IsClassNamesTom
+HasClassNamesTom
 FusionsTom
 SetFusionsTom
-IsFusionsTom
+HasFusionsTom
 IdempotentsTom
 SetIdempotentsTom
-IsIdempotentsTom
+HasIdempotentsTom
 IdempotentsTomInfo
 SetIdempotentsTomInfo
-IsIdempotentsTomInfo
+HasIdempotentsTomInfo
 MatTom
 SetMatTom
-IsMatTom
+HasMatTom
 MoebiusTom
 SetMoebiusTom
-IsMoebiusTom
+HasMoebiusTom
 WeightsTom
 SetWeightsTom
-IsWeightsTom
+HasWeightsTom
 IsAbelianTom
 SetIsAbelianTom
-IsIsAbelianTom
+HasIsAbelianTom
 IsCyclicTom
 SetIsCyclicTom
-IsIsCyclicTom
+HasIsCyclicTom
 IsNilpotentTom
 SetIsNilpotentTom
-IsIsNilpotentTom
+HasIsNilpotentTom
 IsPerfectTom
 SetIsPerfectTom
-IsIsPerfectTom
+HasIsPerfectTom
 IsSolvableTom
 SetIsSolvableTom
-IsIsSolvableTom
+HasIsSolvableTom
 DerivedSubgroupTom
 DerivedSubgroupsTomPossible
 SetDerivedSubgroupsTomPossible
-IsDerivedSubgroupsTomPossible
+HasDerivedSubgroupsTomPossible
 DerivedSubgroupsTomUnique
 SetDerivedSubgroupsTomUnique
-IsDerivedSubgroupsTomUnique
+HasDerivedSubgroupsTomUnique
 NormalizerTom
 NormalizersTom
 SetNormalizersTom
-IsNormalizersTom
+HasNormalizersTom
 ContainedTom
 ContainingTom
 CyclicExtensionsTom
 SetCyclicExtensionsTom
-IsCyclicExtensionsTom
+HasCyclicExtensionsTom
 ComputedCyclicExtensionsTom
 SetComputedCyclicExtensionsTom
-IsComputedCyclicExtensionsTom
+HasComputedCyclicExtensionsTom
 CyclicExtensionsTomOp
 DecomposedFixedPointVector
 EulerianFunctionByTom
@@ -8175,14 +8175,14 @@ IntersectionsTom
 FactorGroupTom
 MaximalSubgroupsTom
 SetMaximalSubgroupsTom
-IsMaximalSubgroupsTom
+HasMaximalSubgroupsTom
 MinimalSupergroupsTom
 GeneratorsSubgroupsTom
 SetGeneratorsSubgroupsTom
-IsGeneratorsSubgroupsTom
+HasGeneratorsSubgroupsTom
 StraightLineProgramsTom
 SetStraightLineProgramsTom
-IsStraightLineProgramsTom
+HasStraightLineProgramsTom
 RepresentativeTom
 RepresentativeTomByGenerators
 RepresentativeTomByGeneratorsNC
@@ -8202,7 +8202,7 @@ Unicode
 Encode
 ProcessID
 SetProcessID
-IsProcessID
+HasProcessID
 IO_Pickle
 IO_Unpickle
 BackgroundJobByFork
@@ -8254,28 +8254,28 @@ Rank
 UpperCentralSeries
 IdGroup
 SetIdGroup
-IsIdGroup
+HasIdGroup
 Gap3CatalogueIdGroup
 SetGap3CatalogueIdGroup
-IsGap3CatalogueIdGroup
+HasGap3CatalogueIdGroup
 FrattinifactorSize
 SetFrattinifactorSize
-IsFrattinifactorSize
+HasFrattinifactorSize
 FrattinifactorId
 SetFrattinifactorId
-IsFrattinifactorId
+HasFrattinifactorId
 GaloisType
 SetGaloisType
-IsGaloisType
+HasGaloisType
 SimsNo
 SetSimsNo
-IsSimsNo
+HasSimsNo
 MinimalBlockDimension
 SetMinimalBlockDimension
-IsMinimalBlockDimension
+HasMinimalBlockDimension
 IsPrimitiveMatrixGroup
 SetIsPrimitiveMatrixGroup
-IsIsPrimitiveMatrixGroup
+HasIsPrimitiveMatrixGroup
 PGAutomorphism
 PGMult
 PGInverse
@@ -8283,56 +8283,56 @@ PGPower
 PGMultList
 IrrFacsAlgExtPol
 SetIrrFacsAlgExtPol
-IsIrrFacsAlgExtPol
+HasIrrFacsAlgExtPol
 ExponentsOfUnits
 IsPrimitiveElementOfNumberField
 RelationLattice
 IsUnitGroup
 SetIsUnitGroup
-IsIsUnitGroup
+HasIsUnitGroup
 IsUnitGroupIsomorphism
 SetIsUnitGroupIsomorphism
-IsIsUnitGroupIsomorphism
+HasIsUnitGroupIsomorphism
 IsNumberFieldByMatrices
 SetIsNumberFieldByMatrices
-IsIsNumberFieldByMatrices
+HasIsNumberFieldByMatrices
 IsMultGroupByFieldElemsIsomorphism
 SetIsMultGroupByFieldElemsIsomorphism
-IsIsMultGroupByFieldElemsIsomorphism
+HasIsMultGroupByFieldElemsIsomorphism
 IntegerDefiningPolynomial
 SetIntegerDefiningPolynomial
-IsIntegerDefiningPolynomial
+HasIntegerDefiningPolynomial
 IntegerPrimitiveElement
 SetIntegerPrimitiveElement
-IsIntegerPrimitiveElement
+HasIntegerPrimitiveElement
 EquationOrderBasis
 SetEquationOrderBasis
-IsEquationOrderBasis
+HasEquationOrderBasis
 MaximalOrderBasis
 SetMaximalOrderBasis
-IsMaximalOrderBasis
+HasMaximalOrderBasis
 UnitGroup
 SetUnitGroup
-IsUnitGroup
+HasUnitGroup
 FieldOfUnitGroup
 SetFieldOfUnitGroup
-IsFieldOfUnitGroup
+HasFieldOfUnitGroup
 IsWeightedCollector
 SetIsWeightedCollector
-IsIsWeightedCollector
+HasIsWeightedCollector
 IsPolynomialCollector
 SetIsPolynomialCollector
-IsIsPolynomialCollector
+HasIsPolynomialCollector
 UseLibraryCollector
 SetUseLibraryCollector
-IsUseLibraryCollector
+HasUseLibraryCollector
 FromTheLeftCollector
 ExponentsByObj
 GetPower
 GetConjugate
 IsPolycyclicPresentation
 SetIsPolycyclicPresentation
-IsIsPolycyclicPresentation
+HasIsPolycyclicPresentation
 Exponents
 NameTag
 GenExpList
@@ -8340,107 +8340,107 @@ Depth
 LeadingExponent
 TailOfElm
 SetTailOfElm
-IsTailOfElm
+HasTailOfElm
 RelativeOrderPcp
 SetRelativeOrderPcp
-IsRelativeOrderPcp
+HasRelativeOrderPcp
 RelativeIndex
 SetRelativeIndex
-IsRelativeIndex
+HasRelativeIndex
 FactorOrder
 SetFactorOrder
-IsFactorOrder
+HasFactorOrder
 Igs
 SetIgs
-IsIgs
+HasIgs
 Ngs
 SetNgs
-IsNgs
+HasNgs
 Cgs
 SetCgs
-IsCgs
+HasCgs
 Collector
 EfaSeries
 SetEfaSeries
-IsEfaSeries
+HasEfaSeries
 PcpsOfEfaSeries
 SetPcpsOfEfaSeries
-IsPcpsOfEfaSeries
+HasPcpsOfEfaSeries
 IsomorphismPcpGroup
 SetIsomorphismPcpGroup
-IsIsomorphismPcpGroup
+HasIsomorphismPcpGroup
 PcpGroupByEfaSeries
 SetPcpGroupByEfaSeries
-IsPcpGroupByEfaSeries
+HasPcpGroupByEfaSeries
 SplitExtensionByAutomorphisms
 UnitriangularMatrixRepresentation
 IsHomomorphismIntoMatrixGroup
 SetIsHomomorphismIntoMatrixGroup
-IsIsHomomorphismIntoMatrixGroup
+HasIsHomomorphismIntoMatrixGroup
 SemiSimpleEfaSeries
 SetSemiSimpleEfaSeries
-IsSemiSimpleEfaSeries
+HasSemiSimpleEfaSeries
 FCCentre
 SetFCCentre
-IsFCCentre
+HasFCCentre
 IsNilpotentByFinite
 SetIsNilpotentByFinite
-IsIsNilpotentByFinite
+HasIsNilpotentByFinite
 MaximalSubgroupClassesByIndexOp
 ComputedMaximalSubgroupClassesByIndexs
 SetComputedMaximalSubgroupClassesByIndexs
-IsComputedMaximalSubgroupClassesByIndexs
+HasComputedMaximalSubgroupClassesByIndexs
 MaximalSubgroupClassesByIndex
 HasMaximalSubgroupClassesByIndex
 SetMaximalSubgroupClassesByIndex
 LowIndexSubgroupClassesOp
 ComputedLowIndexSubgroupClassess
 SetComputedLowIndexSubgroupClassess
-IsComputedLowIndexSubgroupClassess
+HasComputedLowIndexSubgroupClassess
 LowIndexSubgroupClasses
 HasLowIndexSubgroupClasses
 SetLowIndexSubgroupClasses
 LowIndexNormalSubgroupsOp
 ComputedLowIndexNormalSubgroupss
 SetComputedLowIndexNormalSubgroupss
-IsComputedLowIndexNormalSubgroupss
+HasComputedLowIndexNormalSubgroupss
 LowIndexNormalSubgroups
 HasLowIndexNormalSubgroups
 SetLowIndexNormalSubgroups
 SchurExtension
 SetSchurExtension
-IsSchurExtension
+HasSchurExtension
 SchurExtensionEpimorphism
 SetSchurExtensionEpimorphism
-IsSchurExtensionEpimorphism
+HasSchurExtensionEpimorphism
 NonAbelianTensorSquare
 SetNonAbelianTensorSquare
-IsNonAbelianTensorSquare
+HasNonAbelianTensorSquare
 NonAbelianExteriorSquare
 SetNonAbelianExteriorSquare
-IsNonAbelianExteriorSquare
+HasNonAbelianExteriorSquare
 TorsionSubgroup
 SetTorsionSubgroup
-IsTorsionSubgroup
+HasTorsionSubgroup
 NormalTorsionSubgroup
 SetNormalTorsionSubgroup
-IsNormalTorsionSubgroup
+HasNormalTorsionSubgroup
 FiniteSubgroupClasses
 SetFiniteSubgroupClasses
-IsFiniteSubgroupClasses
+HasFiniteSubgroupClasses
 IsTorsionFree
 SetIsTorsionFree
-IsIsTorsionFree
+HasIsTorsionFree
 IsFreeAbelian
 SetIsFreeAbelian
-IsIsFreeAbelian
+HasIsFreeAbelian
 MemberFunction
 SetMemberFunction
-IsMemberFunction
+HasMemberFunction
 IsMemberOp
 ComputedIsMembers
 SetComputedIsMembers
-IsComputedIsMembers
+HasComputedIsMembers
 IsMember
 HasIsMember
 SetIsMember
@@ -8448,40 +8448,40 @@ Class
 Complement
 IsGroupClass
 SetIsGroupClass
-IsIsGroupClass
+HasIsGroupClass
 GroupClass
 SetGroupClass
-IsGroupClass
+HasGroupClass
 ContainsTrivialGroup
 SetContainsTrivialGroup
-IsContainsTrivialGroup
+HasContainsTrivialGroup
 IsSubgroupClosed
 SetIsSubgroupClosed
-IsIsSubgroupClosed
+HasIsSubgroupClosed
 IsNormalSubgroupClosed
 SetIsNormalSubgroupClosed
-IsIsNormalSubgroupClosed
+HasIsNormalSubgroupClosed
 IsQuotientClosed
 SetIsQuotientClosed
-IsIsQuotientClosed
+HasIsQuotientClosed
 IsResiduallyClosed
 SetIsResiduallyClosed
-IsIsResiduallyClosed
+HasIsResiduallyClosed
 IsNormalProductClosed
 SetIsNormalProductClosed
-IsIsNormalProductClosed
+HasIsNormalProductClosed
 IsDirectProductClosed
 SetIsDirectProductClosed
-IsIsDirectProductClosed
+HasIsDirectProductClosed
 IsSchunckClass
 SetIsSchunckClass
-IsIsSchunckClass
+HasIsSchunckClass
 IsSaturated
 SetIsSaturated
-IsIsSaturated
+HasIsSaturated
 FittingClass
 SetFittingClass
-IsFittingClass
+HasFittingClass
 FittingProduct
 FittingSet
 IsFittingSet
@@ -8489,56 +8489,56 @@ ImageFittingSet
 PreImageFittingSet
 InjectorFunction
 SetInjectorFunction
-IsInjectorFunction
+HasInjectorFunction
 RadicalFunction
 SetRadicalFunction
-IsRadicalFunction
+HasRadicalFunction
 IsPrimitiveSolubleGroup
 SetIsPrimitiveSolubleGroup
-IsIsPrimitiveSolubleGroup
+HasIsPrimitiveSolubleGroup
 SchunckClass
 SetSchunckClass
-IsSchunckClass
+HasSchunckClass
 Boundary
 SetBoundary
-IsBoundary
+HasBoundary
 ProjectorFunction
 SetProjectorFunction
-IsProjectorFunction
+HasProjectorFunction
 BoundaryFunction
 SetBoundaryFunction
-IsBoundaryFunction
+HasBoundaryFunction
 OrdinaryFormation
 SetOrdinaryFormation
-IsOrdinaryFormation
+HasOrdinaryFormation
 FormationProduct
 SaturatedFormation
 SetSaturatedFormation
-IsSaturatedFormation
+HasSaturatedFormation
 FittingFormation
 SetFittingFormation
-IsFittingFormation
+HasFittingFormation
 FittingFormationProduct
 SaturatedFittingFormation
 SetSaturatedFittingFormation
-IsSaturatedFittingFormation
+HasSaturatedFittingFormation
 ResidualFunction
 SetResidualFunction
-IsResidualFunction
+HasResidualFunction
 LocalDefinitionFunction
 SetLocalDefinitionFunction
-IsLocalDefinitionFunction
+HasLocalDefinitionFunction
 ProjectorOp
 ComputedProjectors
 SetComputedProjectors
-IsComputedProjectors
+HasComputedProjectors
 Projector
 HasProjector
 SetProjector
 CoveringSubgroupOp
 ComputedCoveringSubgroups
 SetComputedCoveringSubgroups
-IsComputedCoveringSubgroups
+HasComputedCoveringSubgroups
 CoveringSubgroup
 HasCoveringSubgroup
 SetCoveringSubgroup
@@ -8546,7 +8546,7 @@ ProjectorFromExtendedBoundaryFunction
 InjectorOp
 ComputedInjectors
 SetComputedInjectors
-IsComputedInjectors
+HasComputedInjectors
 Injector
 HasInjector
 SetInjector
@@ -8557,7 +8557,7 @@ ComplementsOfCentralSectionUnderActionNC
 RadicalOp
 ComputedRadicals
 SetComputedRadicals
-IsComputedRadicals
+HasComputedRadicals
 Radical
 HasRadical
 SetRadical
@@ -8568,549 +8568,549 @@ AllNormalSubgroupsWithNProperty
 ResidualOp
 ComputedResiduals
 SetComputedResiduals
-IsComputedResiduals
+HasComputedResiduals
 Residual
 HasResidual
 SetResidual
 CharacteristicSubgroups
 SetCharacteristicSubgroups
-IsCharacteristicSubgroups
+HasCharacteristicSubgroups
 OneInvariantSubgroupMinWrtQProperty
 AllInvariantSubgroupsWithQProperty
 OneNormalSubgroupMinWrtQProperty
 AllNormalSubgroupsWithQProperty
 NormalGeneratorsOfNilpotentResidual
 SetNormalGeneratorsOfNilpotentResidual
-IsNormalGeneratorsOfNilpotentResidual
+HasNormalGeneratorsOfNilpotentResidual
 CentralizesLayer
 CompositionSeriesUnderAction
 SiftedPcElementWrtPcSequence
 AddPcElementToPcSequence
 PrimePowerGensPcSequence
 SetPrimePowerGensPcSequence
-IsPrimePowerGensPcSequence
+HasPrimePowerGensPcSequence
 CRISP_SmallGeneratingSet
 SetCRISP_SmallGeneratingSet
-IsCRISP_SmallGeneratingSet
+HasCRISP_SmallGeneratingSet
 NilpotentProjector
 SetNilpotentProjector
-IsNilpotentProjector
+HasNilpotentProjector
 SupersolubleProjector
 SetSupersolubleProjector
-IsSupersolubleProjector
+HasSupersolubleProjector
 PSocleComponentsOp
 ComputedPSocleComponentss
 SetComputedPSocleComponentss
-IsComputedPSocleComponentss
+HasComputedPSocleComponentss
 PSocleComponents
 HasPSocleComponents
 SetPSocleComponents
 PSocleSeriesOp
 ComputedPSocleSeriess
 SetComputedPSocleSeriess
-IsComputedPSocleSeriess
+HasComputedPSocleSeriess
 PSocleSeries
 HasPSocleSeries
 SetPSocleSeries
 PSocleOp
 ComputedPSocles
 SetComputedPSocles
-IsComputedPSocles
+HasComputedPSocles
 PSocle
 HasPSocle
 SetPSocle
 SolubleSocle
 SetSolubleSocle
-IsSolubleSocle
+HasSolubleSocle
 SocleComponents
 SetSocleComponents
-IsSocleComponents
+HasSocleComponents
 SolubleSocleComponents
 SetSolubleSocleComponents
-IsSolubleSocleComponents
+HasSolubleSocleComponents
 MinimalNormalPSubgroupsOp
 ComputedMinimalNormalPSubgroupss
 SetComputedMinimalNormalPSubgroupss
-IsComputedMinimalNormalPSubgroupss
+HasComputedMinimalNormalPSubgroupss
 MinimalNormalPSubgroups
 HasMinimalNormalPSubgroups
 SetMinimalNormalPSubgroups
 AbelianMinimalNormalSubgroups
 SetAbelianMinimalNormalSubgroups
-IsAbelianMinimalNormalSubgroups
+HasAbelianMinimalNormalSubgroups
 LinesOfStraightLineDecision
 SetLinesOfStraightLineDecision
-IsLinesOfStraightLineDecision
+HasLinesOfStraightLineDecision
 NrInputsOfStraightLineDecision
 SetNrInputsOfStraightLineDecision
-IsNrInputsOfStraightLineDecision
+HasNrInputsOfStraightLineDecision
 ResultOfStraightLineDecision
 StraightLineProgramFromStraightLineDecision
 AsBBoxProgram
 SetAsBBoxProgram
-IsAsBBoxProgram
+HasAsBBoxProgram
 AsStraightLineProgram
 SetAsStraightLineProgram
-IsAsStraightLineProgram
+HasAsStraightLineProgram
 AsStraightLineDecision
 SetAsStraightLineDecision
-IsAsStraightLineDecision
+HasAsStraightLineDecision
 MeatAxeString
 Maxes
 SetMaxes
-IsMaxes
+HasMaxes
 AtlasRepInfoRecord
 SetAtlasRepInfoRecord
-IsAtlasRepInfoRecord
+HasAtlasRepInfoRecord
 Browse
 CASInfo
 SetCASInfo
-IsCASInfo
+HasCASInfo
 ConstructionInfoCharacterTable
 SetConstructionInfoCharacterTable
-IsConstructionInfoCharacterTable
+HasConstructionInfoCharacterTable
 FusionToTom
 SetFusionToTom
-IsFusionToTom
+HasFusionToTom
 ProjectivesInfo
 SetProjectivesInfo
-IsProjectivesInfo
+HasProjectivesInfo
 ExtensionInfoCharacterTable
 SetExtensionInfoCharacterTable
-IsExtensionInfoCharacterTable
+HasExtensionInfoCharacterTable
 GroupInfoForCharacterTable
 SetGroupInfoForCharacterTable
-IsGroupInfoForCharacterTable
+HasGroupInfoForCharacterTable
 KnowsSomeGroupInfo
 SetKnowsSomeGroupInfo
-IsKnowsSomeGroupInfo
+HasKnowsSomeGroupInfo
 IsNontrivialDirectProduct
 SetIsNontrivialDirectProduct
-IsIsNontrivialDirectProduct
+HasIsNontrivialDirectProduct
 KnowsDeligneLusztigNames
 SetKnowsDeligneLusztigNames
-IsKnowsDeligneLusztigNames
+HasKnowsDeligneLusztigNames
 IsDuplicateTable
 SetIsDuplicateTable
-IsIsDuplicateTable
+HasIsDuplicateTable
 IdentifierOfMainTable
 SetIdentifierOfMainTable
-IsIdentifierOfMainTable
+HasIdentifierOfMainTable
 IdentifiersOfDuplicateTables
 SetIdentifiersOfDuplicateTables
-IsIdentifiersOfDuplicateTables
+HasIdentifiersOfDuplicateTables
 DeligneLusztigNames
 SetDeligneLusztigNames
-IsDeligneLusztigNames
+HasDeligneLusztigNames
 DeligneLusztigName
 SetDeligneLusztigName
-IsDeligneLusztigName
+HasDeligneLusztigName
 UnipotentCharacter
 FingerprintOfCharacterTable
 SetFingerprintOfCharacterTable
-IsFingerprintOfCharacterTable
+HasFingerprintOfCharacterTable
 SpinSymIngredients
 SetSpinSymIngredients
-IsSpinSymIngredients
+HasSpinSymIngredients
 NamesLibTom
 SetNamesLibTom
-IsNamesLibTom
+HasNamesLibTom
 NotifiedFusionsOfLibTom
 SetNotifiedFusionsOfLibTom
-IsNotifiedFusionsOfLibTom
+HasNotifiedFusionsOfLibTom
 FusionsOfLibTom
 SetFusionsOfLibTom
-IsFusionsOfLibTom
+HasFusionsOfLibTom
 NotifiedFusionsToLibTom
 SetNotifiedFusionsToLibTom
-IsNotifiedFusionsToLibTom
+HasNotifiedFusionsToLibTom
 FusionsToLibTom
 SetFusionsToLibTom
-IsFusionsToLibTom
+HasFusionsToLibTom
 StandardGeneratorsInfo
 SetStandardGeneratorsInfo
-IsStandardGeneratorsInfo
+HasStandardGeneratorsInfo
 IteratedF
 TrivialInvAutomaton
 InvAutomatonInsertGenerator
 FGA_States
 SetFGA_States
-IsFGA_States
+HasFGA_States
 FGA_GeneratorsLetterRep
 SetFGA_GeneratorsLetterRep
-IsFGA_GeneratorsLetterRep
+HasFGA_GeneratorsLetterRep
 FreeGeneratorsOfGroup
 SetFreeGeneratorsOfGroup
-IsFreeGeneratorsOfGroup
+HasFreeGeneratorsOfGroup
 RankOfFreeGroup
 SetRankOfFreeGroup
-IsRankOfFreeGroup
+HasRankOfFreeGroup
 FreeGroupAutomaton
 SetFreeGroupAutomaton
-IsFreeGroupAutomaton
+HasFreeGroupAutomaton
 FreeGroupExtendedAutomaton
 SetFreeGroupExtendedAutomaton
-IsFreeGroupExtendedAutomaton
+HasFreeGroupExtendedAutomaton
 AsWordLetterRepInFreeGenerators
 AsWordLetterRepInGenerators
 CyclicallyReducedWord
 FindPowLetterRep
 NormalizerInWholeGroup
 SetNormalizerInWholeGroup
-IsNormalizerInWholeGroup
+HasNormalizerInWholeGroup
 FGA_Source
 SetFGA_Source
-IsFGA_Source
+HasFGA_Source
 FGA_Image
 SetFGA_Image
-IsFGA_Image
+HasFGA_Image
 FGA_WhiteheadParams
 SetFGA_WhiteheadParams
-IsFGA_WhiteheadParams
+HasFGA_WhiteheadParams
 FGA_WhiteheadAutomorphisms
 SetFGA_WhiteheadAutomorphisms
-IsFGA_WhiteheadAutomorphisms
+HasFGA_WhiteheadAutomorphisms
 FGA_NielsenAutomorphisms
 SetFGA_NielsenAutomorphisms
-IsFGA_NielsenAutomorphisms
+HasFGA_NielsenAutomorphisms
 IsIrreducibleMatrixGroup
 SetIsIrreducibleMatrixGroup
-IsIsIrreducibleMatrixGroup
+HasIsIrreducibleMatrixGroup
 IsIrreducibleMatrixGroupOp
 ComputedIsIrreducibleMatrixGroups
 SetComputedIsIrreducibleMatrixGroups
-IsComputedIsIrreducibleMatrixGroups
+HasComputedIsIrreducibleMatrixGroups
 IsAbsolutelyIrreducible
 IsAbsolutelyIrreducibleMatrixGroup
 SetIsAbsolutelyIrreducibleMatrixGroup
-IsIsAbsolutelyIrreducibleMatrixGroup
+HasIsAbsolutelyIrreducibleMatrixGroup
 IsPrimitiveMatrixGroupOp
 ComputedIsPrimitiveMatrixGroups
 SetComputedIsPrimitiveMatrixGroups
-IsComputedIsPrimitiveMatrixGroups
+HasComputedIsPrimitiveMatrixGroups
 MinimalBlockDimensionOfMatrixGroup
 SetMinimalBlockDimensionOfMatrixGroup
-IsMinimalBlockDimensionOfMatrixGroup
+HasMinimalBlockDimensionOfMatrixGroup
 MinimalBlockDimensionOfMatrixGroupOp
 ComputedMinimalBlockDimensionOfMatrixGroups
 SetComputedMinimalBlockDimensionOfMatrixGroups
-IsComputedMinimalBlockDimensionOfMatrixGroups
+HasComputedMinimalBlockDimensionOfMatrixGroups
 CharacteristicOfField
 SetCharacteristicOfField
-IsCharacteristicOfField
+HasCharacteristicOfField
 RepresentationIsomorphism
 SetRepresentationIsomorphism
-IsRepresentationIsomorphism
+HasRepresentationIsomorphism
 IsMaximalAbsolutelyIrreducibleSolvableMatrixGroup
 SetIsMaximalAbsolutelyIrreducibleSolvableMatrixGroup
-IsIsMaximalAbsolutelyIrreducibleSolvableMatrixGroup
+HasIsMaximalAbsolutelyIrreducibleSolvableMatrixGroup
 ImprimitivitySystems
 SetImprimitivitySystems
-IsImprimitivitySystems
+HasImprimitivitySystems
 ImprimitivitySystemsOp
 ComputedImprimitivitySystemss
 SetComputedImprimitivitySystemss
-IsComputedImprimitivitySystemss
+HasComputedImprimitivitySystemss
 TraceField
 SetTraceField
-IsTraceField
+HasTraceField
 ConjugatingMatTraceField
 SetConjugatingMatTraceField
-IsConjugatingMatTraceField
+HasConjugatingMatTraceField
 FingerprintMatrixGroup
 SetFingerprintMatrixGroup
-IsFingerprintMatrixGroup
+HasFingerprintMatrixGroup
 IdIrreducibleSolvableMatrixGroup
 SetIdIrreducibleSolvableMatrixGroup
-IsIdIrreducibleSolvableMatrixGroup
+HasIdIrreducibleSolvableMatrixGroup
 IdPrimitiveSolvableGroup
 SetIdPrimitiveSolvableGroup
-IsIdPrimitiveSolvableGroup
+HasIdPrimitiveSolvableGroup
 IsLieNilpotentOverFp
 SetIsLieNilpotentOverFp
-IsIsLieNilpotentOverFp
+HasIsLieNilpotentOverFp
 AutomorphismGroupOfNilpotentLieAlgebra
 SetAutomorphismGroupOfNilpotentLieAlgebra
-IsAutomorphismGroupOfNilpotentLieAlgebra
+HasAutomorphismGroupOfNilpotentLieAlgebra
 DescendantsOfStep1OfAbelianLieAlgebra
 Descendants
 MinimalGeneratorNumber
 SetMinimalGeneratorNumber
-IsMinimalGeneratorNumber
+HasMinimalGeneratorNumber
 LiftAutorphismToLieCover
 LinearActionOnMultiplicator
 NilpotentLieAutomorphism
 IsLieCover
 SetIsLieCover
-IsIsLieCover
+HasIsLieCover
 CoverOf
 SetCoverOf
-IsCoverOf
+HasCoverOf
 CoverHomomorphism
 SetCoverHomomorphism
-IsCoverHomomorphism
+HasCoverHomomorphism
 LieCover
 SetLieCover
-IsLieCover
+HasLieCover
 LieNucleus
 SetLieNucleus
-IsLieNucleus
+HasLieNucleus
 LieMultiplicator
 SetLieMultiplicator
-IsLieMultiplicator
+HasLieMultiplicator
 LiftIsomorphismToLieCover
 AreIsomorphicNilpotentLieAlgebras
 IsLieAlgebraWithNB
 SetIsLieAlgebraWithNB
-IsIsLieAlgebraWithNB
+HasIsLieAlgebraWithNB
 NilpotentBasis
 SetNilpotentBasis
-IsNilpotentBasis
+HasNilpotentBasis
 IsNilpotentBasis
 SetIsNilpotentBasis
-IsIsNilpotentBasis
+HasIsNilpotentBasis
 LieNBDefinitions
 SetLieNBDefinitions
-IsLieNBDefinitions
+HasLieNBDefinitions
 LieNBWeights
 SetLieNBWeights
-IsLieNBWeights
+HasLieNBWeights
 IsGroupAlgebra
 SetIsGroupAlgebra
-IsIsGroupAlgebra
+HasIsGroupAlgebra
 IsFModularGroupAlgebra
 SetIsFModularGroupAlgebra
-IsIsFModularGroupAlgebra
+HasIsFModularGroupAlgebra
 IsPModularGroupAlgebra
 SetIsPModularGroupAlgebra
-IsIsPModularGroupAlgebra
+HasIsPModularGroupAlgebra
 UnderlyingRing
 SetUnderlyingRing
-IsUnderlyingRing
+HasUnderlyingRing
 UnderlyingField
 SetUnderlyingField
-IsUnderlyingField
+HasUnderlyingField
 Support
 SetSupport
-IsSupport
+HasSupport
 CoefficientsBySupport
 SetCoefficientsBySupport
-IsCoefficientsBySupport
+HasCoefficientsBySupport
 TraceOfMagmaRingElement
 SetTraceOfMagmaRingElement
-IsTraceOfMagmaRingElement
+HasTraceOfMagmaRingElement
 Augmentation
 SetAugmentation
-IsAugmentation
+HasAugmentation
 PartialAugmentations
 Involution
 IsSymmetric
 SetIsSymmetric
-IsIsSymmetric
+HasIsSymmetric
 IsUnitary
 SetIsUnitary
-IsIsUnitary
+HasIsUnitary
 LeftIdealBySubgroup
 RightIdealBySubgroup
 TwoSidedIdealBySubgroup
 WeightedBasis
 SetWeightedBasis
-IsWeightedBasis
+HasWeightedBasis
 AugmentationIdealPowerSeries
 SetAugmentationIdealPowerSeries
-IsAugmentationIdealPowerSeries
+HasAugmentationIdealPowerSeries
 AugmentationIdealNilpotencyIndex
 SetAugmentationIdealNilpotencyIndex
-IsAugmentationIdealNilpotencyIndex
+HasAugmentationIdealNilpotencyIndex
 AugmentationIdealOfDerivedSubgroupNilpotencyIndex
 SetAugmentationIdealOfDerivedSubgroupNilpotencyIndex
-IsAugmentationIdealOfDerivedSubgroupNilpotencyIndex
+HasAugmentationIdealOfDerivedSubgroupNilpotencyIndex
 IsGroupOfUnitsOfMagmaRing
 SetIsGroupOfUnitsOfMagmaRing
-IsIsGroupOfUnitsOfMagmaRing
+HasIsGroupOfUnitsOfMagmaRing
 IsUnitGroupOfGroupRing
 SetIsUnitGroupOfGroupRing
-IsIsUnitGroupOfGroupRing
+HasIsUnitGroupOfGroupRing
 IsNormalizedUnitGroupOfGroupRing
 SetIsNormalizedUnitGroupOfGroupRing
-IsIsNormalizedUnitGroupOfGroupRing
+HasIsNormalizedUnitGroupOfGroupRing
 UnderlyingGroupRing
 SetUnderlyingGroupRing
-IsUnderlyingGroupRing
+HasUnderlyingGroupRing
 NormalizedUnitCF
 NormalizedUnitCFmod
 NormalizedUnitGroup
 SetNormalizedUnitGroup
-IsNormalizedUnitGroup
+HasNormalizedUnitGroup
 PcNormalizedUnitGroup
 SetPcNormalizedUnitGroup
-IsPcNormalizedUnitGroup
+HasPcNormalizedUnitGroup
 AugmentationIdealPowerFactorGroupOp
 ComputedAugmentationIdealPowerFactorGroups
 SetComputedAugmentationIdealPowerFactorGroups
-IsComputedAugmentationIdealPowerFactorGroups
+HasComputedAugmentationIdealPowerFactorGroups
 AugmentationIdealPowerFactorGroup
 HasAugmentationIdealPowerFactorGroup
 SetAugmentationIdealPowerFactorGroup
 PcUnits
 SetPcUnits
-IsPcUnits
+HasPcUnits
 NaturalBijectionToPcNormalizedUnitGroup
 SetNaturalBijectionToPcNormalizedUnitGroup
-IsNaturalBijectionToPcNormalizedUnitGroup
+HasNaturalBijectionToPcNormalizedUnitGroup
 NaturalBijectionToNormalizedUnitGroup
 SetNaturalBijectionToNormalizedUnitGroup
-IsNaturalBijectionToNormalizedUnitGroup
+HasNaturalBijectionToNormalizedUnitGroup
 GroupBases
 SetGroupBases
-IsGroupBases
+HasGroupBases
 BassCyclicUnit
 BicyclicUnitOfType1
 BicyclicUnitOfType2
 BicyclicUnitGroup
 SetBicyclicUnitGroup
-IsBicyclicUnitGroup
+HasBicyclicUnitGroup
 UnitarySubgroup
 SetUnitarySubgroup
-IsUnitarySubgroup
+HasUnitarySubgroup
 UnderlyingAssociativeAlgebra
 SetUnderlyingAssociativeAlgebra
-IsUnderlyingAssociativeAlgebra
+HasUnderlyingAssociativeAlgebra
 IsLieAlgebraOfGroupRing
 SetIsLieAlgebraOfGroupRing
-IsIsLieAlgebraOfGroupRing
+HasIsLieAlgebraOfGroupRing
 IsBasisOfLieAlgebraOfGroupRing
 SetIsBasisOfLieAlgebraOfGroupRing
-IsIsBasisOfLieAlgebraOfGroupRing
+HasIsBasisOfLieAlgebraOfGroupRing
 NaturalBijectionToLieAlgebra
 SetNaturalBijectionToLieAlgebra
-IsNaturalBijectionToLieAlgebra
+HasNaturalBijectionToLieAlgebra
 NaturalBijectionToAssociativeAlgebra
 SetNaturalBijectionToAssociativeAlgebra
-IsNaturalBijectionToAssociativeAlgebra
+HasNaturalBijectionToAssociativeAlgebra
 AugmentationHomomorphism
 SetAugmentationHomomorphism
-IsAugmentationHomomorphism
+HasAugmentationHomomorphism
 IsLieMetabelian
 SetIsLieMetabelian
-IsIsLieMetabelian
+HasIsLieMetabelian
 IsLieCentreByMetabelian
 SetIsLieCentreByMetabelian
-IsIsLieCentreByMetabelian
+HasIsLieCentreByMetabelian
 LieUpperNilpotencyIndex
 SetLieUpperNilpotencyIndex
-IsLieUpperNilpotencyIndex
+HasLieUpperNilpotencyIndex
 LieLowerNilpotencyIndex
 SetLieLowerNilpotencyIndex
-IsLieLowerNilpotencyIndex
+HasLieLowerNilpotencyIndex
 LieDerivedLength
 SetLieDerivedLength
-IsLieDerivedLength
+HasLieDerivedLength
 SubgroupsOfIndexTwo
 SetSubgroupsOfIndexTwo
-IsSubgroupsOfIndexTwo
+HasSubgroupsOfIndexTwo
 DihedralDepth
 SetDihedralDepth
-IsDihedralDepth
+HasDihedralDepth
 DimensionBasis
 SetDimensionBasis
-IsDimensionBasis
+HasDimensionBasis
 LieDimensionSubgroups
 SetLieDimensionSubgroups
-IsLieDimensionSubgroups
+HasLieDimensionSubgroups
 LieUpperCodimensionSeries
 SetLieUpperCodimensionSeries
-IsLieUpperCodimensionSeries
+HasLieUpperCodimensionSeries
 RootsAsMatrices
 SetRootsAsMatrices
-IsRootsAsMatrices
+HasRootsAsMatrices
 IsSolvablePolynomial
 SetIsSolvablePolynomial
-IsIsSolvablePolynomial
+HasIsSolvablePolynomial
 IsSeparablePolynomial
 SetIsSeparablePolynomial
-IsIsSeparablePolynomial
+HasIsSeparablePolynomial
 IsomorphismMatrixField
 SetIsomorphismMatrixField
-IsIsomorphismMatrixField
+HasIsomorphismMatrixField
 GaloisGroupOnRoots
 SetGaloisGroupOnRoots
-IsGaloisGroupOnRoots
+HasGaloisGroupOnRoots
 IsAffineCrystGroupOnRight
 SetIsAffineCrystGroupOnRight
-IsIsAffineCrystGroupOnRight
+HasIsAffineCrystGroupOnRight
 IsAffineCrystGroupOnLeft
 SetIsAffineCrystGroupOnLeft
-IsIsAffineCrystGroupOnLeft
+HasIsAffineCrystGroupOnLeft
 IsAffineCrystGroupOnLeftOrRight
 SetIsAffineCrystGroupOnLeftOrRight
-IsIsAffineCrystGroupOnLeftOrRight
+HasIsAffineCrystGroupOnLeftOrRight
 IsSpaceGroup
 SetIsSpaceGroup
-IsIsSpaceGroup
+HasIsSpaceGroup
 IsStandardAffineCrystGroup
 SetIsStandardAffineCrystGroup
-IsIsStandardAffineCrystGroup
+HasIsStandardAffineCrystGroup
 IsSymmorphicSpaceGroup
 SetIsSymmorphicSpaceGroup
-IsIsSymmorphicSpaceGroup
+HasIsSymmorphicSpaceGroup
 IsPointGroup
 SetIsPointGroup
-IsIsPointGroup
+HasIsPointGroup
 NormalizerPointGroupInGLnZ
 SetNormalizerPointGroupInGLnZ
-IsNormalizerPointGroupInGLnZ
+HasNormalizerPointGroupInGLnZ
 CentralizerPointGroupInGLnZ
 SetCentralizerPointGroupInGLnZ
-IsCentralizerPointGroupInGLnZ
+HasCentralizerPointGroupInGLnZ
 AffineCrystGroupOfPointGroup
 SetAffineCrystGroupOfPointGroup
-IsAffineCrystGroupOfPointGroup
+HasAffineCrystGroupOfPointGroup
 PointGroup
 SetPointGroup
-IsPointGroup
+HasPointGroup
 PointHomomorphism
 SetPointHomomorphism
-IsPointHomomorphism
+HasPointHomomorphism
 TranslationBasis
 SetTranslationBasis
-IsTranslationBasis
+HasTranslationBasis
 InternalBasis
 SetInternalBasis
-IsInternalBasis
+HasInternalBasis
 TransParts
 SetTransParts
-IsTransParts
+HasTransParts
 TranslationNormalizer
 SetTranslationNormalizer
-IsTranslationNormalizer
+HasTranslationNormalizer
 AffineNormalizer
 SetAffineNormalizer
-IsAffineNormalizer
+HasAffineNormalizer
 IsPointHomomorphism
 SetIsPointHomomorphism
-IsIsPointHomomorphism
+HasIsPointHomomorphism
 NiceToCryst
 SetNiceToCryst
-IsNiceToCryst
+HasNiceToCryst
 IsFromAffineCrystGroupToFpGroup
 SetIsFromAffineCrystGroupToFpGroup
-IsIsFromAffineCrystGroupToFpGroup
+HasIsFromAffineCrystGroupToFpGroup
 IsFromAffineCrystGroupToPcpGroup
 SetIsFromAffineCrystGroupToPcpGroup
-IsIsFromAffineCrystGroupToPcpGroup
+HasIsFromAffineCrystGroupToPcpGroup
 WyckoffSpaceGroup
 WyckoffTranslation
 WyckoffBasis
 WyckoffStabilizer
 SetWyckoffStabilizer
-IsWyckoffStabilizer
+HasWyckoffStabilizer
 WyckoffOrbit
 SetWyckoffOrbit
-IsWyckoffOrbit
+HasWyckoffOrbit
 WyckoffPositions
 SetWyckoffPositions
-IsWyckoffPositions
+HasWyckoffPositions
 WyckoffGraph
 SpaceGroupsByPointGroupOnRight
 SpaceGroupsByPointGroupOnLeft
@@ -9120,59 +9120,59 @@ SpaceGroupTypesByPointGroupOnLeft
 SpaceGroupTypesByPointGroup
 CocVecs
 SetCocVecs
-IsCocVecs
+HasCocVecs
 IsColorGroup
 SetIsColorGroup
-IsIsColorGroup
+HasIsColorGroup
 ColorSubgroup
 SetColorSubgroup
-IsColorSubgroup
+HasColorSubgroup
 ColorCosetList
 SetColorCosetList
-IsColorCosetList
+HasColorCosetList
 ColorPermGroup
 SetColorPermGroup
-IsColorPermGroup
+HasColorPermGroup
 ColorHomomorphism
 SetColorHomomorphism
-IsColorHomomorphism
+HasColorHomomorphism
 ConjugatorSpaceGroups
 CrystCatRecord
 SetCrystCatRecord
-IsCrystCatRecord
+HasCrystCatRecord
 IsAlmostCrystallographic
 SetIsAlmostCrystallographic
-IsIsAlmostCrystallographic
+HasIsAlmostCrystallographic
 IsAlmostBieberbachGroup
 SetIsAlmostBieberbachGroup
-IsIsAlmostBieberbachGroup
+HasIsAlmostBieberbachGroup
 AlmostCrystallographicInfo
 SetAlmostCrystallographicInfo
-IsAlmostCrystallographicInfo
+HasAlmostCrystallographicInfo
 NaturalHomomorphismOnHolonomyGroup
 SetNaturalHomomorphismOnHolonomyGroup
-IsNaturalHomomorphismOnHolonomyGroup
+HasNaturalHomomorphismOnHolonomyGroup
 HolonomyGroup
 SetHolonomyGroup
-IsHolonomyGroup
+HasHolonomyGroup
 OrientationModule
 SetOrientationModule
-IsOrientationModule
+HasOrientationModule
 BettiNumber
 BettiNumbers
 SetBettiNumbers
-IsBettiNumbers
+HasBettiNumbers
 PcpGroupByMatGroup
 IsIsomorphismByFinitePolycyclicMatrixGroup
 SetIsIsomorphismByFinitePolycyclicMatrixGroup
-IsIsIsomorphismByFinitePolycyclicMatrixGroup
+HasIsIsomorphismByFinitePolycyclicMatrixGroup
 IsIsomorphismByPolycyclicMatrixGroup
 SetIsIsomorphismByPolycyclicMatrixGroup
-IsIsIsomorphismByPolycyclicMatrixGroup
+HasIsIsomorphismByPolycyclicMatrixGroup
 IsPolycyclicMatGroup
 IsTriangularizableMatGroup
 SetIsTriangularizableMatGroup
-IsIsTriangularizableMatGroup
+HasIsTriangularizableMatGroup
 RadicalSeriesSolvableMatGroup
 SubgroupsUnipotentByAbelianByFinite
 IsPolyInfiniteCyclicGroup
@@ -9183,13 +9183,13 @@ IsCommonTransversal
 IsCommuting
 UpperFittingSeries
 SetUpperFittingSeries
-IsUpperFittingSeries
+HasUpperFittingSeries
 LowerFittingSeries
 SetLowerFittingSeries
-IsLowerFittingSeries
+HasLowerFittingSeries
 FittingLength
 SetFittingLength
-IsFittingLength
+HasFittingLength
 GeneratorsAndInverses
 PrintListOneItemPerLine
 RandomCombination
@@ -9203,16 +9203,16 @@ IdGraphNC
 Z_piCons
 IsZ_pi
 SetIsZ_pi
-IsIsZ_pi
+HasIsZ_pi
 NoninvertiblePrimes
 SetNoninvertiblePrimes
-IsNoninvertiblePrimes
+HasNoninvertiblePrimes
 ClassListRep
 ResidueListRep
 ResidueClassUnionCons
 IsResidueClass
 SetIsResidueClass
-IsIsResidueClass
+HasIsResidueClass
 Modulus
 Residues
 Residue
@@ -9223,36 +9223,36 @@ IncludedLines
 ExcludedLines
 UnderlyingIndeterminate
 SetUnderlyingIndeterminate
-IsUnderlyingIndeterminate
+HasUnderlyingIndeterminate
 IsZxZ
 SetIsZxZ
-IsIsZxZ
+HasIsZxZ
 AllResidues
 NumberOfResidues
 IsSublattice
 Superlattices
 SizeOfSmallestResidueClassRing
 SetSizeOfSmallestResidueClassRing
-IsSizeOfSmallestResidueClassRing
+HasSizeOfSmallestResidueClassRing
 AsUnionOfFewClasses
 SplittedClass
 PartitionsIntoResidueClasses
 RandomPartitionIntoResidueClasses
 Density
 SetDensity
-IsDensity
+HasDensity
 UnionOfResidueClassesWithFixedRepresentativesCons
 IsResidueClassWithFixedRepresentative
 SetIsResidueClassWithFixedRepresentative
-IsIsResidueClassWithFixedRepresentative
+HasIsResidueClassWithFixedRepresentative
 AsListOfClasses
 Multiplicity
 IsOverlappingFree
 SetIsOverlappingFree
-IsIsOverlappingFree
+HasIsOverlappingFree
 AsOrdinaryUnionOfResidueClasses
 RepresentativeStabilizingRefinement
 Rho
 SetRho
-IsRho
+HasRho
 _GapToJsonStreamInternal
diff --git a/gap/sharedNames.txt b/gap/sharedNames.txt
index 7308807..6ff8e1a 100644
--- a/gap/sharedNames.txt
+++ b/gap/sharedNames.txt
@@ -1,1736 +1,1735 @@
-ViewString
-MaximalSubgroupsTom
-ElementOfMagmaRing
-Collected
-SortParallel
-DimensionsLoewyFactors
-IsDisjoint
-IsConjugacyClassSubgroupsRep
-LeftModuleByHomomorphismToMatAlg
-Append
-ExponentSumWord
-LetterRepAssocWord
-PowerMap
-Name
-DirectSumOp
-IsomorphismPartialPermSemigroup
-IsUEALatticeElement
-NegativeRootVectors
-IsCyc
-IsFullSubgroupGLorSLRespectingSesquilinearForm
-InducedPcgsByPcSequenceNC
+AClosestVectorCombinationsMatFFEVecFFE
+AClosestVectorCombinationsMatFFEVecFFECoords
+AbelianInvariants
+AbelianInvariantsMultiplier
+AbelianInvariantsOfList
+AbelianSubfactorAction
+AbsolutIrreducibleModules
+AbsoluteDiameter
+AbsoluteValue
+Acos
+Acosh
+ActingAlgebra
+ActingDomain
+ActorOfExternalSet
+Add
+AddCoeffs
+AddDictionary
+AddRowVector
+AddRule
+AddRuleReduced
+AddSet
+AdditiveInverseImmutable
+AdditiveInverseMutable
+AdditiveInverseSameMutability
+AdditiveNeutralElement
+AdjointAssociativeAlgebra
+AdjointBasis
+AdjointMatrix
+AdjointModule
+AffineAction
+AlgebraGeneralMappingByImages
+AlgebraHomomorphismByImagesNC
 AlgebraWithOneGeneralMappingByImages
-IsBLetterWordsFamily
-SemiEchelonBasis
-DimensionOfVectors
-GreensRClasses
-NaturalHomomorphismByNormalSubgroupNC
-DegreeOfTransformationCollection
-Decomposition
-KnownAttributesOfObject
-Rows
-SiftedPcElement
+AlgebraWithOneHomomorphismByImagesNC
+AlgebraicExtension
+AllBlocks
+Alpha
+AntiIsomorphismTransformationSemigroup
+Append
+ApplySimpleReflection
+Argument
+AsDivisionRing
+AsDuplicateFreeList
+AsGroup
+AsGroupGeneralMappingByImages
+AsInternalFFE
+AsLeftIdeal
+AsLeftModule
 AsList
-JoinEquivalenceRelations
-StronglyConnectedComponents
-KernelOfMultiplicativeGeneralMapping
-Gap3CatalogueIdGroup
-NilpotencyClassOfGroup
-OrbitLengthsDomain
-GeneralisedEigenvalues
+AsMagma
+AsMonoid
+AsPartialPerm
+AsPermutation
+AsPolynomial
+AsRightIdeal
 AsSSortedList
-EuclideanRemainder
-FrobeniusAutomorphism
-InterpolatedPolynomial
-IsPermGroupGeneralMapping
-GeneratorsOfNearAdditiveMagma
-UniversalEnvelopingAlgebra
+AsSemigroup
+AsSortedList
+AsSubgroup
+AsSubgroupOfWholeGroupByQuotient
+AsSubmagma
+AsSubmonoid
+AsSubsemigroup
+AsSubspace
+AsTransformation
+AsTwoSidedIdeal
+Asin
+Asinh
+AssignGeneratorVariables
+AssocWordByLetterRep
+AssociatedReesMatrixSemigroupOfDClass
+Associates
+Atan
+Atan2
+Atanh
+AugmentationIdeal
+AutomorphismDomain
+AutomorphismGroup
+AutomorphismsOfTable
+BaseIntMat
+BaseIntersectionIntMats
+BaseMat
+BaseMatDestructive
 BaseOfGroup
-NearAdditiveMagmaWithZeroByGenerators
-IsInducedPcgsWrtSpecialPcgs
-PolynomialRing
-IsLaurentPolynomialDefaultRep
-IsFromFpGroupStdGensGeneralMappingByImages
-IsReesMatrixSemigroupElement
-GroupByGenerators
-PreImagesSet
-InputTextString
-AbelianInvariants
-IsSimpleAlgebra
-LieFamily
-InducedClassFunction
-Log
-WriteLine
-JenningsSeries
-RelativeOrderOfPcElement
-IsQuasiPrimitive
+BaseOrthogonalSpaceMat
+BasicWreathProductOrdering
+Basis
+BasisNC
+BasisVectors
+BiAlgebraModule
+BiAlgebraModuleByGenerators
+BilinearFormMat
+BisectInterval
+BlocksInfo
+BlowupInterval
+BrauerCharacterValue
+BrauerTable
+BrauerTableOp
+BravaisGroup
+BravaisSubgroups
+BravaisSupergroups
 CallFuncList
-NrConjugacyClasses
-PreImagesElm
-NullspaceIntMat
-ActingDomain
-RightShiftRowVector
-DepthOfPcElement
-ClassPositionsOfUpperCentralSeries
-Trace
-IsTrivial
-UpperSubdiagonal
-DerivedSubgroupTom
-PseudoRandom
-LatticeGeneratorsInUEA
-StabilizerOfExternalSet
-IsPerm
-PermLeftQuoPartialPermNC
-IsLieObject
-SetName
+CanComputeIndex
+CanComputeIsSubset
+CanComputeSize
+CanComputeSizeAnySubgroup
+CanEasilyCompareElements
+CanEasilyComputePcgs
+CanEasilyComputeWithIndependentGensAbelianGroup
+CanEasilySortElements
+CanEasilyTestMembership
+CanonicalBasis
+CanonicalGenerators
+CanonicalPcElement
+CanonicalPcgs
+CanonicalPcgsByGeneratorsWithImages
+CanonicalRepresentativeDeterminatorOfExternalSet
+CanonicalRepresentativeOfExternalSet
+CanonicalRightCosetElement
+CartanMatrix
+CartanSubalgebra
+CategoriesOfObject
+CategoryCollections
+CategoryFamily
+Ceil
+CentralCharacter
+CentralNormalSeriesByPcgs
+Centralizer
+CentralizerInGLnZ
+CentralizerModulo
+Centre
+CentreOfCharacter
+Character
+CharacterDegrees
+CharacterNames
 CharacterParameters
-IsBasisByNiceBasis
-IsSymmetricBinaryRelation
-IsOutputStream
-NormalBase
-IsIdempotent
-ComputedIndicators
-TwoCohomology
-IsRationalMatrixGroup
-PrintObj
-IsEquivalenceRelation
-PositiveRootVectors
-NumeratorOfRationalFunction
-ExponentsOfConjugate
-NormalIntersection
-GeneratorsSubgroupsTom
-AdditiveInverseSameMutability
-End
-ExtensionNC
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 ClassNamesTom
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-InversesOfSemigroupElement
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 Cos
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-IsCyclotomicField
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 CycleTransformationInt
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 DirectSumDecomposition
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-InfoText
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 Eigenvalues
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-OrderingOfRewritingSystem
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 Embedding
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 Expm1
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-IndicesInvolutaryGenerators
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-AssociatedReesMatrixSemigroupOfDClass
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 Extensions
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-StraightLineProgramsTom
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-UnderlyingGeneralMapping
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-DenominatorOfRationalFunction
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-NiceObject
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-TriangulizedNullspaceMat
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 Filename
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-EpimorphismFromFreeGroup
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 FreeGeneratorsOfWholeGroup
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-InfoLevel
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 GQuotients
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-Idempotents
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-Unknown
-SparseCartanMatrix
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 GaloisMat
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-DeterminantMatDivFree
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-LargestImageOfMovedPoint
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-NormalizerInGLnZ
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-TransposedMatImmutable
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 GeneratorsOfAlgebraModule
-UseIsomorphismRelation
-ShiftedCoeffs
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-WeightVecFFE
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-SingleCollector
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-NameFunction
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-BlocksInfo
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-Enumerator
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-ZippedProduct
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-SiftedVector
-RankPGroup
-IsSortedList
-IsIntegers
-SetConjugate
-IsPcgsCentralSeries
-ReducedConjugate
-StabChainMutable
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 GeneratorsOfEquivalenceRelationPartition
-IsCharacter
-GeneratorsOfTwoSidedIdeal
-ImagesRepresentative
-IsNormal
-IrreducibleRepresentations
-MagmaByGenerators
-CoefficientsOfUnivariateRationalFunction
-EpimorphismNonabelianExteriorSquare
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-NestingDepthA
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-LinearAction
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-WreathProductOrdering
-ClassNames
-Frac
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-SubAlgebraModule
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-AClosestVectorCombinationsMatFFEVecFFECoords
-ExponentsConjugateLayer
-GaloisGroup
-JenningsLieAlgebra
-Sin
-IsNearAdditiveMagma
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-BaseMat
-ReducedConfluentRewritingSystem
-Representative
-WeylOrbitIterator
-RightCosetsNC
-IsPerfect
-IsPolynomial
-IsBasicWreathProductOrdering
-GrowthFunctionOfGroup
-IsAdditivelyCommutativeElement
+GeneratorsOfInverseMonoid
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+GeneratorsOfRightIdeal
+GeneratorsOfRightOperatorAdditiveGroup
+GeneratorsOfRing
 GeneratorsOfRingWithOne
-FamilyRange
-Centre
-UseFactorRelation
-CubeRoot
-IsDoubleCoset
-IsZeroGroup
-IsNaturalSymmetricGroup
-SortingPerm
-SchurCoverOfSymmetricGroup
-HighestWeightModule
+GeneratorsOfRws
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 GreensDClasses
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+GroebnerBasis
+GroupByGenerators
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 HermiteNormalFormIntegerMatTransform
-Mid
-Asinh
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-SmallestGeneratorPerm
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 IndeterminatesOfPolynomialRing
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-NormalizedElementOfMagmaRingModuloRelations
-Directory
-CoefficientsRing
-ReducedZero
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+IndexInWholeGroup
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+IndexPeriodOfPartialPerm
 Indicator
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-PrimitiveRoot
-Size
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 IrrBaumClausen
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 IsAlmostSimpleGroup
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 IsAssociativeElement
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-RationalizedMat
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 IsConstantTimeAccessGeneralMapping
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-IsHandledByNiceBasis
-MinimalSupergroupsTom
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 IsConstantTimeAccessList
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 IsGroupGeneralMappingByImages
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 IsHomogeneousList
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-IdempotentsTomInfo
-SourceOfIsoclinicTable
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-PartialPermOp
-Erf
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 IsInputStream
-LieUpperCentralSeries
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 IsLeftIdealInParent
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 IsLinearMappingsModule
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-Log10
-Characteristic
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-FactorGroupTom
-JordanDecomposition
-WeightsTom
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 IsMagmaWithInverses
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-FusionCharTableTom
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-DiagonalizeMat
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 IsMonomial
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-NumberArgumentsFunction
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-IsomorphismSpecialPcGroup
-AssocWordByLetterRep
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 IsPSolvableCharacterTable
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+IsPcGroupGeneralMappingByImages
 IsPcgs
-PositionNonZero
-IsBuiltFromGroup
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-IntVecFFE
-NiceAlgebraMonomorphism
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-HomeEnumerator
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-RestrictedPerm
-GcdRepresentationOp
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 IsPrimitivePolynomial
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-SmallestMovedPoint
-UglyVector
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 IsRewritingSystem
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 IsSyllableAssocWordRep
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 KillingMatrix
-AssignGeneratorVariables
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+LeftShiftRowVector
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+LengthsTom
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+MaximalSubgroupsTom
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+MonomialExtrepComparisonFun
+MovedPoints
+MultRowVector
+MultiplicationTable
+MultiplicativeNeutralElement
+MultiplicativeZero
+MultiplicativeZeroOp
+MutableBasis
+Name
+NameFunction
+NamesOfFusionSources
+NaturalCharacter
+NaturalHomomorphismByGenerators
+NaturalHomomorphismByIdeal
+NaturalHomomorphismByNormalSubgroupNC
+NaturalHomomorphismBySubAlgebraModule
+NaturalHomomorphismBySubspace
+NaturalHomomorphismOfLieAlgebraFromNilpotentGroup
+NaturalPartialOrder
+NearAdditiveGroupByGenerators
+NearAdditiveMagmaByGenerators
+NearAdditiveMagmaWithZeroByGenerators
+NegativeRootVectors
+NegativeRoots
+NestingDepthA
+NestingDepthM
+NewFloat
+NewInfoClass
+NextIterator
+NiceAlgebraMonomorphism
+NiceBasis
+NiceFreeLeftModule
+NiceFreeLeftModuleInfo
+NiceMonomorphism
+NiceObject
+NiceVector
+NilpotencyClassOfGroup
+NonNilpotentElement
+NonabelianExteriorSquare
+Norm
+NormalBase
+NormalClosure
+NormalIntersection
+NormalSeriesByPcgs
+NormalSubgroupClassesInfo
+NormalSubgroups
+NormalizedElementOfMagmaRingModuloRelations
+Normalizer
+NormalizerInGLnZ
+NormalizerInGLnZBravaisGroup
+NormalizerTom
+NormalizersTom
+NormedRowVector
+NormedRowVectors
+NrBasisVectors
+NrComponentsOfPartialPerm
+NrComponentsOfTransformation
+NrConjugacyClasses
+NrFixedPoints
+NrInputsOfStraightLineProgram
+NrMovedPoints
+NrSubsTom
+NullAlgebra
+NullspaceIntMat
+NullspaceMat
+NullspaceMatDestructive
+NumberArgumentsFunction
+NumberFFVector
+NumberSyllables
+NumberTransformation
+NumeratorOfModuloPcgs
+NumeratorOfRationalFunction
+ONanScottType
+ObjByExtRep
+Omega
+OneImmutable
+OneMutable
+OneOfPcgs
+OneSameMutability
+OperationAlgebraHomomorphism
+OrbitLengths
+OrbitLengthsDomain
+OrbitStabilizerAlgorithm
+Orbits
+OrbitsDomain
+Order
+OrderingByLessThanFunctionNC
+OrderingByLessThanOrEqualFunctionNC
+OrderingOfRewritingSystem
+OrderingOnGenerators
+OrderingsFamily
+OrdersClassRepresentatives
+OrdersTom
+OrdinaryCharacterTable
+OutputLogTo
+OutputTextFile
+OutputTextString
+Overlaps
+PCentralLieAlgebra
+PCentralNormalSeriesByPcgsPGroup
+PCentralSeries
+PClassPGroup
+PCore
+PRump
+PadicNumber
+PadicValuation
+ParentPcgs
+PartialFactorization
+PartialOrderOfHasseDiagram
+PartialPermOp
+PartialPermOpNC
+PcElementByExponentsNC
+PcGroupWithPcgs
+PcSeries
+Pcgs
+PcgsByPcSequence
+PcgsByPcSequenceNC
+PcgsCentralSeries
+PcgsChiefSeries
+PcgsElementaryAbelianSeries
+PcgsPCentralSeriesPGroup
+PerfectIdentification
+PerfectResiduum
+PermCharsTom
+PermLeftQuoPartialPerm
+PermLeftQuoPartialPermNC
+PermLeftQuoTransformation
+Permanent
+PermutationCharacter
+PermutationTom
+Permuted
+Phi
+PolynomialCoefficientsOfPolynomial
+PolynomialRing
+Position
+PositionBound
+PositionCanonical
+PositionNonZero
+PositionNot
+PositionNthOccurrence
+PositionProperty
+PositionStream
+PositionSublist
+PositionWord
+PositionsOp
+PositionsProperty
+PositiveRootVectors
+PositiveRoots
+PossibleClassFusions
+PossibleFusionsCharTableTom
+PossiblePowerMaps
+PowerMap
+PowerMapOp
+PowerMod
+PowerModCoeffs
+PowerSubalgebraSeries
+PreImageElm
+PreImagePartialPerm
+PreImagesElm
+PreImagesOfTransformation
+PreImagesRange
+PreImagesRepresentative
+PreImagesSet
+PrecisionFloat
+PrefrattiniSubgroup
+PrimaryGeneratorWords
+PrimeBlocks
+PrimeBlocksOp
+PrimeDivisors
+PrimeField
+PrimePGroup
+PrimitiveElement
+PrimitiveIdentification
+PrimitivePolynomial
+PrimitiveRoot
+PrintFormattingStatus
+PrintObj
+PrintString
+Process
+ProductCoeffs
+ProductSpace
+Projection
+ProjectiveOrder
+PseudoRandom
+PthPowerImage
+PthPowerImages
+Quotient
+QuotientMod
+QuotientRemainder
+QuotientSemigroupCongruence
+QuotientSemigroupHomomorphism
+QuotientSemigroupPreimage
+RClassOfHClass
+RadicalGroup
+RadicalOfAlgebra
+Random
+RandomSource
+RandomTransformation
+Range
+RankAction
+RankMat
+RankOfPartialPermCollection
+RankOfPartialPermSemigroup
+RankOfTransformation
+RankPGroup
+Rat
+RationalClass
+RationalClasses
+RationalFunctionsFamily
+RationalizedMat
+Read
+ReadAll
+ReadAllLine
+ReadAsFunction
+ReadByte
+ReadLine
+RealClasses
+RealPart
+RecNames
+ReduceCoeffs
+ReduceCoeffsMod
+ReduceRules
+ReducedAdditiveInverse
+ReducedCharacters
+ReducedClassFunctions
+ReducedComm
+ReducedConfluentRewritingSystem
+ReducedConjugate
+ReducedDifference
+ReducedForm
+ReducedGroebnerBasis
+ReducedInverse
+ReducedLeftQuotient
+ReducedOne
+ReducedPcElement
+ReducedPower
+ReducedProduct
+ReducedQuotient
+ReducedScalarProduct
+ReducedSum
+ReducedZero
+ReesCongruenceOfSemigroupIdeal
+ReesMatrixSemigroup
+ReesMatrixSubsemigroup
+ReesZeroMatrixSemigroup
+ReesZeroMatrixSubsemigroup
+RefinedPcGroup
+ReflexiveClosureBinaryRelation
+RegularActionHomomorphism
+RegularModule
+RelationsOfFpSemigroup
+RelativeBasis
+RelativeBasisNC
+RelativeDiameter
+RelativeOrderOfPcElement
+RelativeOrders
+RelatorsOfFpGroup
+Remove
+RemoveOuterCoeffs
+RemoveSet
+RepresentationsOfObject
+Representative
+RepresentativeLinearOperation
+RepresentativeSmallest
+RepresentativeTom
+RepresentativeTomByGenerators
+RepresentativeTomByGeneratorsNC
+RepresentativesContainedRightCosets
+RepresentativesPerfectSubgroups
 RepresentativesSimpleSubgroups
-GeneratorsOfMagma
-ImagesSet
-IsGeneralMapping
-SSortedList
-GeneratorsOfRightOperatorAdditiveGroup
-MagmaWithZeroAdjoined
-SubgroupByPcgs
-InverseImmutable
-IsTable
-MoebiusTom
-Permuted
-SlotUsagePattern
-IsCanonicalBasis
-CanonicalRepresentativeOfExternalSet
-AllBlocks
-MinimalGeneratingSet
-IsWeightLexOrdering
-AsLeftModule
-IsSubnormal
-PositionProperty
-MaximumList
-IsRat
-IsExtRElement
-NaturalCharacter
-IsXInfinity
-IsPolynomialDefaultRep
-IsConjugacyClassSubgroupsByStabilizerRep
-IsNegRat
-PowerSubalgebraSeries
-InertiaSubgroup
+Reset
+RespectsAddition
+RespectsAdditiveInverses
+RespectsInverses
 RespectsMultiplication
 RespectsOne
-Flat
-InducedPcgs
-IsElementOfFpMonoid
-TriangulizedIntegerMat
-MinimalSupergroupsLattice
-Grading
-WeightLexOrdering
-SortedCharacters
-DepthOfUpperTriangularMatrix
-IsDenseList
-CosetTableBySubgroup
-ElementaryDivisorsMat
-PowerModCoeffs
-StandardAssociateUnit
-KernelOfTransformation
-IsGroupGeneralMappingByAsGroupGeneralMappingByImages
-CoeffsMod
-ReducedSum
-SizesConjugacyClasses
-UnderlyingElement
-Cochain
-GroupWithGenerators
-ReadLine
-SubSyllables
-PositionSublist
-Csc
-IsUnknown
-DivisionRingByGenerators
-PositionsOp
-IsZmodnZObjNonprime
-Socle
-SmithNormalFormIntegerMat
-TransformationList
-InducedPcgsWrtSpecialPcgs
-SmallestIdempotentPower
-CharacterTableDirectProduct
-PcSeries
-TrivialCharacter
-IsGaussianRationals
-IsPcgsChiefSeries
-IsAlmostSimple
-Log1p
-WriteAll
-NiceFreeLeftModule
-Cot
-CanEasilyTestMembership
-IsRegularSemigroup
-IsChar
-CentreOfCharacter
-ClassPositionsOfNormalSubgroups
-IsClassFunction
-SortedList
-DegreeOfTransformationSemigroup
-IsWeightRepElement
-AClosestVectorCombinationsMatFFEVecFFE
-LeadingCoefficientOfPolynomial
-RationalFunctionsFamily
-LieCentralizer
-SquareRoots
-IsCharacterTable
-PcgsChiefSeries
-IsomorphismPcGroup
-Factorization
-RepresentationsOfObject
-LieDerivedSeries
-Determinant
-ReducedPcElement
-CollectionsFamily
-ClosureRing
-DisplayString
-AutomorphismGroup
-IsUniqueFactorizationRing
-DominantWeights
-Matrix
+RespectsScalarMultiplication
+RespectsZero
 RestrictedClassFunction
-MutableBasis
-RemoveSet
-CategoryFamily
-DistancesDistributionVecFFEsVecFFE
-IsInputTextNone
-StandardWreathProduct
+RestrictedClassFunctions
+RestrictedMapping
+RestrictedPartialPerm
+RestrictedPerm
+RestrictedPermNC
+ResultOfStraightLineProgram
+Resultant
+ReverseNaturalPartialOrder
+RewindStream
+RightActingAlgebra
+RightActingRingOfIdeal
+RightAlgebraModule
+RightAlgebraModuleByGenerators
+RightCoset
+RightCosetsNC
+RightDerivations
+RightIdealByGenerators
+RightModuleByHomomorphismToMatAlg
+RightOne
+RightShiftRowVector
+RightTransversal
+RingByGenerators
+RingGeneralMappingByImages
+RingHomomorphismByImagesNC
+RingWithOneByGenerators
 RootOfDefiningPolynomial
-Alpha
-IsLieMatrix
-IsMonomialGroup
-IsGroupHClass
-Is32BitsFamily
-GeneratorsOfRws
-IsListDefault
-LargestMovedPoint
-AdjointBasis
-ChiefNormalSeriesByPcgs
-IsMinimalNonmonomial
-PrintFormattingStatus
-SizesCentralizers
-IsSpecialPcgs
-GcdOp
-RelationsOfFpSemigroup
-IsPolynomialRing
-InducedPcgsByPcSequenceAndGenerators
-UseSubsetRelation
-IsRightIdeal
-BaseOrthogonalSpaceMat
-IsSolvableGroup
-IsNilpotentElement
-CategoryCollections
+RootSystem
+Round
+RoundCyc
+Rows
 Rules
-FpElmComparisonMethod
-DuplicateFreeList
-AntiIsomorphismTransformationSemigroup
-IsRationalFunctionsFamily
-IsBergerCondition
-IsAutomorphismGroup
-IsCyclotomic
-IsRightIdealInParent
-IsNearAdditiveElementWithZero
-ImageListOfTransformation
-WreathProduct
-ProductSpace
-Inf
-TestQuasiPrimitive
-DeterminantMatDestructive
-Conjugates
-LGFirst
-IsRightAlgebraModuleElement
-SemigroupOfRewritingSystem
-RepresentativeSmallest
-EquivalenceClassOfElementNC
-AugmentationIdeal
-Successors
-PowerMapOp
-IsPrimeField
-AddRowVector
-IsCharacteristicSubgroup
+SSortedList
+ScalarProduct
+SchurCover
+SchurCoverOfSymmetricGroup
+Sec
+Sech
+SeekPositionStream
+SemiEchelonBasis
+SemiEchelonBasisNC
+SemiEchelonMat
+SemiEchelonMatDestructive
+SemiEchelonMatTransformation
+SemiEchelonMats
+SemiEchelonMatsDestructive
+SemiSimpleType
+SemidirectProduct
 SemigroupByGenerators
-IntFFESymm
+SemigroupOfRewritingSystem
 SetCommutator
-IsNearlyCharacterTable
-IsBuiltFromMagma
-IsNonassocWord
-Zeta
-PthPowerImages
-UnderlyingGroup
-CanEasilySortElements
-Iterated
-ClassParameters
-IsReesZeroMatrixSemigroup
-IsOrdinaryTable
-LeftIdealByGenerators
-IsMutableBasis
-IsSPGeneralMapping
-FlushCaches
-BrauerTableOp
+SetConjugate
+SetIndeterminateName
+SetInfoLevel
+SetName
+SetPower
+SetPrintFormattingStatus
+ShallowCopy
+ShiftedCoeffs
+ShiftedPadicNumber
+ShortLexOrdering
+ShrinkRowVector
+Shuffle
+SiftedPcElement
+SiftedVector
+Sigma
 SignFloat
-SemidirectProduct
-Tensored
-FaithfulModule
-IsCanonicalBasisFullMatrixModule
-ONanScottType
-DecomposeTensorProduct
-Cocycles
-PossiblePowerMaps
-PRump
-IsWeylGroup
-Acos
-RealPart
-SemiEchelonMat
-LGWeights
-IndicesPCentralNormalStepsPGroup
-LGLayers
-NormalSubgroups
-PcgsElementaryAbelianSeries
-MultiplicativeZero
-IsAdditivelyCommutative
-Subspaces
-Trunc
-ReducedOne
-FreeGeneratorsOfFpGroup
-CyclesOfTransformation
-PossibleFusionsCharTableTom
-LeadingMonomial
-IsGreensJClass
-RestrictedPartialPerm
-DerivedSubgroupsTomUnique
-ClassElementLattice
-FusionsTom
-PositionCanonical
-FactorGroupNC
-IsBuiltFromMagmaWithInverses
+SignPerm
+SimpleSystem
+SimsNo
+Sin
+SinCos
+SingleCollector
+Sinh
+Size
+SizesCentralizers
+SizesConjugacyClasses
+SlotUsagePattern
+SmallGeneratingSet
+SmallestGeneratorPerm
+SmallestIdempotentPower
+SmallestImageOfMovedPoint
+SmallestMovedPoint
+SmithNormalFormIntegerMat
+SmithNormalFormIntegerMatTransforms
+Socle
+SocleTypePrimitiveGroup
+SolutionIntMat
+SolutionMat
+SolutionMatDestructive
+SolutionNullspaceIntMat
+Sort
+SortBy
+SortParallel
+SortedCharacters
+SortedList
+SortedTom
+Sortex
+SortingPerm
 Source
-Coefficients
-KernelOfAdditiveGeneralMapping
-IsBasisOfAlgebraModuleElementSpace
-NumberTransformation
-FreeGeneratorsOfFpSemigroup
-IsTwoSidedIdeal
-NrComponentsOfPartialPerm
-IsInducedFromNormalSubgroup
-PolynomialCoefficientsOfPolynomial
-IsSupersolvable
-RemoveOuterCoeffs
-CompositionMapping2
-ExternalOrbitsStabilizers
-ShortLexOrdering
-HasIndeterminateName
-GreensLRelation
-SymmetricClosureBinaryRelation
-DenseIntKey
-IsExtAElement
-LowerCentralSeriesOfGroup
-IsGroupRing
-ImmutableBasis
-MatrixByBlockMatrix
-IsomorphismSimplifiedFpGroup
-AddDictionary
-IsRightCoset
-AbelianSubfactorAction
-PartialPermOpNC
-IsTotal
-QuotientMod
-IsRowModule
-IsLieAbelian
-TestRelativelySM
-IsGeneratorsOfSemigroup
-IsGreensHClass
-ImagesElm
+SourceOfIsoclinicTable
+SparseCartanMatrix
+SparseIntKey
+SpecialPcgs
+SplitExtension
+SplitString
+SplittingField
+Sqrt
+Square
+SquareRoots
+StabChainImmutable
+StabChainMutable
 StabChainOp
+StabChainOptions
+StabilizerOfExternalSet
+StandardAssociate
+StandardAssociateUnit
+StandardWreathProduct
+State
+StoredGroebnerBasis
+StraightLineProgramsTom
+StretchImportantSLPElement
+String
+StronglyConnectedComponents
 StructureConstantsTable
-IsUnivariatePolynomialRing
-UnderlyingSemigroup
-DerivedSubgroup
-CanonicalPcgs
-DegreeOfBinaryRelation
-ReadAllLine
-PositionBound
-CleanedTailPcElement
-PositiveRoots
-TraceMat
-LessThanFunction
-PrimePGroup
-GreensRRelation
-ImageListOfPartialPerm
-AbsoluteDiameter
-CanonicalPcgsByGeneratorsWithImages
-IsSubgroupOfWholeGroupByQuotientRep
-RightOne
-ImmutableMatrix
-TrivialSubmagmaWithOne
-IsLaurentPolynomial
-Phi
-IsSubgroupSL
-IsBuiltFromMagmaWithOne
-InnerAutomorphismNC
-ReadAsFunction
-IsShortLexOrdering
-LeftModuleHomomorphismByImagesNC
-RationalClass
-PcgsByPcSequence
-IsAlgebraicExtension
-ReflexiveClosureBinaryRelation
-SignPerm
-DistancePerms
-ValuePol
-DoubleCoverOfAlternatingGroup
-ReadByte
-ConjugacyClass
-GroupHClassOfGreensDClass
-InverseMutable
-HasseDiagramBinaryRelation
-CommutatorSubgroup
-ComputedPrimeBlockss
-PClassPGroup
-Norm
-ParentPcgs
-IsRange
-ClassPositionsOfPCore
-IdGroup
-DirectSumOfAlgebras
-MonoidOfRewritingSystem
-RandomSource
-IsFullRowModule
-LieCentre
-GreensHClasses
-NonabelianExteriorSquare
-IsRootSystem
+StructureDescription
+SubAlgebraModule
+SubSyllables
+Subfields
+SubgroupByPcgs
+SubnormalSeries
+Subrings
+SubsTom
+Subspaces
+SubstitutedWord
+SubtractSet
+Subword
+Successors
+SumFactorizationFunctionPcgs
 SumIntersectionMat
-ComputedClassFusions
-SylowSystem
-ConjugateDominantWeightWithWord
-BiAlgebraModuleByGenerators
-IsAssociated
-ReesMatrixSemigroup
-LeftModuleGeneralMappingByImages
-MultiplicativeZeroOp
-IndexNC
-RestrictedClassFunctions
+Sup
+SupersolvableResiduum
 SurjectiveActionHomomorphismAttr
-ClassPositionsOfAgemo
-IsZeroSimpleSemigroup
-IsRestrictedLieAlgebra
-RespectsAddition
-RClassOfHClass
-GeneratorsOfRightIdeal
-ExternalOrbits
-Subrings
-CosetTable
-PCentralSeries
-TableOfMarks
-RefinedPcGroup
-DimensionsMat
-IsGreensRRelation
-IsMagmaWithInversesIfNonzero
-Read
-IsInputTextStream
-GeneratorSyllable
-RepresentativeTom
-SemiEchelonMatTransformation
-UnivariatePolynomialByCoefficients
-IdempotentsTom
-IsReesCongruence
-GreensJRelation
-Exp10
-UnivariatePolynomial
-IsReflexiveBinaryRelation
-IsAssociative
-ReduceRules
-ImagesSource
-LeftModuleHomomorphismByMatrix
-IsEndOfStream
-IsParentPcgsFamilyPcgs
-IsSemiRegular
-DisplayOptions
-LeadingCoefficient
-KroneckerProduct
-CoefficientsQadic
-CycleStructureClass
+SylowComplement
+SylowSubgroup
+SylowSystem
+SymmetricClosureBinaryRelation
+SymmetricInverseSemigroup
+SymmetricParentGroup
+SymmetricPowerOfAlgebraModule
+Symmetrizations
+TableAutomorphisms
+TableOfMarks
+TableOfMarksCyclic
+TableOfMarksDihedral
+TableOfMarksFrobenius
+Tan
 Tanh
-AsDuplicateFreeList
-KnuthBendixRewritingSystem
-ClosureGroup
-IrrConlon
-IsNilpotent
-IsLieSolvable
-PositionWord
-AlgebraHomomorphismByImagesNC
-IsSubspacesVectorSpace
-AddRule
-PerfectResiduum
-StretchImportantSLPElement
-IsNInfinity
-Hypothenuse
-ZeroCoefficient
-NrSubsTom
-DegreeOverPrimeField
-UnderlyingRingElement
-TransposedMatDestructive
-SimpleSystem
 Tau
-IsAlternatingGroup
-IsomorphismRefinedPcGroup
-Log2
-IncreaseInterval
-OperationAlgebraHomomorphism
-Sec
-IsLookupDictionary
-AsGroup
-FpGrpMonSmgOfFpGrpMonSmgElement
-IsOrdinaryMatrix
-AdditiveInverseImmutable
-GeneratorsOfDomain
-IsomorphismReesMatrixSemigroup
-MinimalStabChain
-AsSubgroup
-ReesCongruenceOfSemigroupIdeal
-AbsolutIrreducibleModules
-OneOfPcgs
-PreImagesOfTransformation
-AsRightIdeal
-DefiningPolynomial
-GeneratorsOfDivisionRing
-SimsNo
-Symmetrizations
-IsFromFpGroupGeneralMappingByImages
-IsAbelianNumberField
-IsGreensDRelation
-TriangulizedNullspaceMatDestructive
-Argument
-Difference
-IndexInWholeGroup
-Projection
-InvariantSesquilinearForm
-DegreeOfLaurentPolynomial
-Orbits
-RingWithOneByGenerators
-AsMonoid
-HallSubgroup
-NumberFFVector
-ProductCoeffs
-GeneralisedEigenspaces
-AddCoeffs
-DeterminantMat
-DerivedLength
-MultiplicativeNeutralElement
+TensorProductOfAlgebraModules
+Tensored
+TestMonomial
+TestMonomialQuick
+TestQuasiPrimitive
+TestRelativelySM
+TestSubnormallyMonomial
+Trace
+TraceMat
+TracePolynomial
+Transformation
+TransformationByImageAndKernel
+TransformationList
+TransformationListList
+TransformationNumber
+TransformationOp
+TransformationOpNC
+TransformingPermutations
+TransformingPermutationsCharacterTables
+TransitiveClosureBinaryRelation
+TransitiveIdentification
+Transitivity
+TranslatorSubalgebra
+TransposedMatDestructive
+TransposedMatImmutable
+TransposedMatMutable
 TransposedMatrixGroup
-MaximalAbelianQuotient
-FamiliesOfGeneralMappingsAndRanges
-Position
-OrdersClassRepresentatives
-DirectProductOp
-LessThanOrEqualFunction
-ReducedProduct
-LevelsOfGenerators
-EliminatedWord
-AbelianInvariantsOfList
-RepresentativesPerfectSubgroups
-IsCommutativeElement
-IsNearAdditiveElementWithInverse
-Tan
-IsBLetterAssocWordRep
-InducedPcgsByGeneratorsNC
-IsBuiltFromAdditiveMagmaWithInverses
-NormedRowVector
-ClassPositionsOfDirectProductDecompositions
-IrreducibleModules
-Zuppos
-QuotientSemigroupPreimage
-InducedClassFunctions
-RankMat
-AsPartialPerm
-Idempotent
-IsExternalSubset
-NrFixedPoints
-IsVirtualCharacter
+TriangulizeIntegerMat
+TriangulizeMat
+TriangulizedIntegerMat
+TriangulizedIntegerMatTransform
+TriangulizedMat
+TriangulizedNullspaceMat
+TriangulizedNullspaceMatDestructive
+TrimPartialPerm
+TrimTransformation
+TrivialCharacter
+TrivialSubmagmaWithOne
+TrivialSubnearAdditiveMagmaWithZero
+Trunc
+TryCosetTableInWholeGroup
+TwoClosure
+TwoCoboundaries
+TwoCocycles
+TwoCohomology
+TwoSidedIdealByGenerators
+TzOptions
+UglyVector
+UnderlyingCharacterTable
+UnderlyingCharacteristic
+UnderlyingElement
+UnderlyingExternalSet
+UnderlyingFamily
+UnderlyingGeneralMapping
+UnderlyingGroup
+UnderlyingInjectionZeroMagma
+UnderlyingLeftModule
+UnderlyingLieAlgebra
+UnderlyingMagma
+UnderlyingRelation
+UnderlyingRingElement
+UnderlyingSemigroup
 Union2
-AbelianInvariantsMultiplier
-FixedPointsOfPartialPerm
-BrauerCharacterValue
-EquivalenceRelationPartition
-IsSolvable
-IsReesCongruenceSemigroup
+UniteSet
+Units
+UnivariatePolynomial
+UnivariatePolynomialByCoefficients
 UnivariatePolynomialRing
-NewFloat
-Identifier
-IsWord
-ExponentOfPcElement
-IsPrimeOrdersPcgs
-IsFunctionField
-Order
-SmithNormalFormIntegerMatTransforms
-NaturalPartialOrder
-FunctionAction
-FieldOverItselfByGenerators
-Shuffle
-IsExtLElement
-State
-RingGeneralMappingByImages
-EquivalenceClassRelation
-Init
-Eigenvectors
-IsFullSubgroupGLorSLRespectingBilinearForm
-CloseStream
-IsFieldHomomorphism
-IsDirectProductElement
+UnivariateRationalFunctionByCoefficients
+UniversalEnvelopingAlgebra
+Unknown
+UpperCentralSeriesOfGroup
+UpperSubdiagonal
+UseBasis
+UseFactorRelation
+UseIsomorphismRelation
+UseSubsetRelation
+Valuation
+Value
+ValuePol
+ValuesOfClassFunction
 ViewObj
-Compacted
-NaturalHomomorphismByGenerators
-IsMagma
-BrauerTable
-ProjectiveOrder
-ReesZeroMatrixSubsemigroup
-IsSimple
-MatrixAutomorphisms
-MaximalSubgroupsLattice
-GreensJClassOfElement
-ComponentPartialPermInt
-MinimizedBombieriNorm
-ClassPositionsOfFittingSubgroup
-IsFreeMagmaRing
-DefaultFieldByGenerators
+ViewString
+VirtualCharacter
+WeightLexOrdering
+WeightOfGenerators
+WeightVecFFE
+WeightsTom
+WeylGroup
+WeylOrbitIterator
+WreathProduct
+WreathProductOrdering
+WriteAll
+WriteByte
+WriteLine
+ZClassRepsQClass
+ZeroCoefficient
+ZeroCoefficientRatFun
+ZeroImmutable
+ZeroMapping
+ZeroMutable
 ZeroSameMutability
-RightIdealByGenerators
-GeneratorsOfLeftOperatorAdditiveGroup
-NormalClosure
-IsSimpleGroup
-IsInfiniteAbelianizationGroup
-IsStringRep
-ExponentsOfRelativePower
-IsIntegerMatrixGroup
+Zeta
+ZippedProduct
+ZippedSum
+ZmodnZObj
+Zuppos
diff --git a/gap/sysOnlyNames.txt b/gap/sysOnlyNames.txt
index ff37b76..be9a98c 100644
--- a/gap/sysOnlyNames.txt
+++ b/gap/sysOnlyNames.txt
@@ -1,4268 +1,4319 @@
-IsPrimeDivisors
-IsOrdinaryFormation
-IsIsomorphismReesZeroMatrixSemigroup
-IsIsCanonicalNiceMonomorphism
-SetNonAbelianTensorSquare
-SetIsNaturalSL
-LowIndexNormalSubgroups
-IsSocle
-FindPowLetterRep
-IsIsFreeAbelian
-SetContainsTrivialGroup
-IsPcpGroupByEfaSeries
-IsIsPcgsPCentralSeriesPGroup
-IsResidueClass
-IsCONDUCTOR
-SetAutomorphismGroupOfNilpotentLieAlgebra
-IdentityMatrix
-SetCoefficientsAndMagmaElements
-SetCot
-IsIsNilpotentTom
-SetUnderlyingIndeterminate
-PcpsOfEfaSeries
-SetFreeGeneratorsOfFpAlgebra
-IsUnderlyingInjectionZeroMagma
-SetIsReesCongruence
-IsGeneratorsOfInverseMonoid
-SetAllBlocks
-GeneratorsOfLayer
-SetUnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt
-IsIsomorphismByPolycyclicMatrixGroup
-IsDixonRecord
-SetMonoidOfRewritingSystem
-IsExternalOrbits
-UpperActingDomain
-SetDihedralGenerators
-IsHallSystem
-IsLieCentre
-IsIsUnivariateRationalFunction
-IsSortingPerm
-SetCharacteristicSubgroups
-SetTypeReesMatrixSemigroupElements
-IsInvariantBilinearForm
-IsRefinedPcGroup
-IsIrrFacsPol
-SubnormalSeriesOp
-IsDiscriminant
-IsCyclicExtensionsTom
-IsAdjoinedIdentityDefaultType
-IsIsRegularSemigroup
-IsBaseIntMat
-IsIsLieSolvable
-FingerprintMatrixGroup
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++
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 AffineCrystGroupOfPointGroup
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 BicyclicUnitOfType1
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-IsSocleComponents
-IsExternalOrbitsStabilizers
-IsMaximalSubgroupClassReps
-ModulusOfZmodnZObj
+BicyclicUnitOfType2
+BlocksAttr
+BlocksOp
+Boundary
+BoundaryFunction
+Browse
+CASInfo
+CRISP_SmallGeneratingSet
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+CanEasilyDetermineCanonicalRepresentativeExternalSet
+CanonicalGreensClass
+CanonicalNiceMonomorphism
+CanonicalPcgsWrtFamilyPcgs
+CanonicalPcgsWrtHomePcgs
+CanonicalPcgsWrtSpecialPcgs
+CayleyGraphDualSemigroup
 CayleyGraphSemigroup
-IsLaurentPolynomialsFamilyElement
-IsIsPInfinity
-SetIsRightZeroSemigroup
-IsListLookupDictionary
-IsMonoidAsSemigroup
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-RandomCombination
-SetBravaisGroup
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-IsClassParameters
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-SetGeneratorsOfExtASet
-IsRandomizerAttr
-TailsInverses
-IsDClassOfRClass
-SetComputedAscendingChains
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-SetIsPerfectCharacterTable
-SetIsNumberField
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-NonAbelianTensorSquare
-IsIsGroupAlgebra
-FLMLORByGenerators
-ComputedMaximalSubgroupClassesByIndexs
-IsNilpotentCharacterTable
-AugmentedCosetTableNormalClosure
+CentralIdempotentsOfSemiring
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+Cgs
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+CharacteristicPolynomialMatrixNC
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+CheckConsistencyOfDefinitions
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+Class
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 ClassPositionsOfSolvableRadical
-SingleCollectorByGenerators
-IsClassPositionsOfElementaryAbelianSeries
-CRISP_SmallGeneratingSet
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-RootsFloatOp
-SetDerivedSubgroupsTomPossible
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-CompatibleVector
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-IsFromAffineCrystGroupToPcpGroup
-IsNormedRowVector
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-SLUnderlyingField
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-SetIsAlgebraModule
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-=
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-NoninvertiblePrimes
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-SetIsXInfinity
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-GetCommutatorNC
-AttachServingSocket
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 ComputedInducedPcgses
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-SetIndicesOfAdjointBasis
-LieUpperCodimensionSeries
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-NewRowVector
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-SetMonomialComparisonFunction
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 ComputedIsMembers
-ClosureLeftOperatorRing
-SetExp
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-FusionToTom
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-IsAcosh
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-LaTeXObj
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-SetIsInfiniteAbelianizationGroup
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-SetIsomorphismSCFLMLOR
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-NiceBasisNC
-OrthogonalSpaceInFullRowSpace
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-IsDistributiveROpESum
-NilpotencyDegree
-in
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-SetClassNamesTom
-AsSSortedListNonstored
-IsAssociativeLOpEProd
-SumPcgs
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-SetIsLieCentreByMetabelian
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-SetIsAlmostSimpleGroup
-SetIsGeneratorsOfMagmaWithInverses
-SetExp2
-LengthOfDescendingSeries
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-GroupByNiceMonomorphism
-TomDataAlmostSimpleRecognition
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-SetIsReesZeroMatrixSemigroup
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-SetMinimalStabChain
-SUM_FFE_LARGE
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-SetIsFullSubgroupGLorSLRespectingBilinearForm
-IsUFDFamily
+ComputedIsPNilpotents
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+ComputedLowIndexNormalSubgroupss
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+ComputedMaximalSubgroupClassesByIndexs
+ComputedMinimalBlockDimensionOfMatrixGroups
+ComputedMinimalNormalPSubgroupss
+ComputedOmegas
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+ComputedPSocleComponentss
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+ConjugatorSpaceGroups
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+CopySubMatrix
+CopySubVector
+CoreInParent
+CoreOp
+CorrespondingPermutations
+CosetTableFpHom
+CosetTableNormalClosure
+CosetTableNormalClosureInWholeGroup
+CoverHomomorphism
+CoverOf
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+CoveringSubgroupOp
+CrystCatRecord
+Cyc
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+CycleLengthsOp
+CycleOp
+CyclesOp
 CyclicExtensionsTomOp
-ExtendedIntersectionSumPcgs
-IsRowLength
-DerivedSeries
-RemoveDictionary
-IsIBr
-IsomorphismPcpGroup
-IsFGA_WhiteheadParams
-IsPrecisionFloat
-SetAcosh
-IsResidueClassUnion
-IsLargestNrSlots
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-SetGeneratorsOfLeftOperatorAdditiveGroup
-IsCoefficientsOfLaurentPolynomial
-IsIsSemigroupIdeal
-SetActionKernelExternalSet
-IsCentralizerPointGroupInGLnZ
-SetIsomorphismFpSemigroup
-SetOrbitLengthsDomain
-IsIsAlternatingGroup
-SetLieObject
-IsFrobeniusAutomorphism
-IsMoebiusTom
-GeneratorsOfSemiringWithZero
-SetIsAffineCrystGroupOnLeft
-IsLeftActingRingOfIdeal
-+
-TranslationNormalizer
-Nucleus
-IsIsCyclic
-IsRelativeOrderPcp
-IsOrbitsDomain
-SubnormalSeriesInParent
-TailOfElm
-IsAssociativeROpEProd
-IsIsPartialOrderBinaryRelation
-IsDerivedSubgroupsTomUnique
-IsBaumClausenInfo
-SetRespectsZero
-InputQueue
-SetAugmentedCosetTableMtcInWholeGroup
-IsAugmentationHomomorphism
-IsTestMonomialQuick
-SetIsAbsolutelyIrreducibleMatrixGroup
-IsWeightOfGenerators
-IsIsOrthodoxSemigroup
-GroupClass
-IsExponentOfPowering
+CyclicGroupCons
+CyclicTopExtensions
+CyclicallyReducedWord
+Cyclotomic
 DClassOfHClass
-DoIO
-IsIsRDistributive
-IsComputedIsPrimitiveMatrixGroups
-IsIsLaurentPolynomial
-ExtractSubMatrix
-SetNoninvertiblePrimes
-IsTransParts
-FpElmEqualityMethod
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-IsIsSimpleCharacterTable
-PrimePowerGensPcSequence
-IsLeftDerivations
-SetIsRightAlgebraModule
-IsNumeratorParentForExponentsRep
-SetIsLeftAlgebraModule
-SetLinesOfStraightLineDecision
-IsIOHubCat
-IsSubgroupClosed
-SymmetricPower
-IsIndeterminatesOfPolynomialRing
-GeneratingPairsOfRightMagmaCongruence
-IsEquationOrderBasis
-IsIsBasicWreathProductOrdering
-StableSortParallel
-IsEnumeratorByFunctionsRep
-SetAsSemiring
-ParMapReduceByFork
-CloseConnection
-FindActionKernel
-UnderlyingElementOfReesZeroMatrixSemigroupElement
-IsIsPcgsChiefSeries
-IsSpinSymIngredients
-IsFieldControlledByGaloisGroup
-SetImfRecord
-IsPolycyclicMatGroup
-PostMakeImmutable
-IsMaximalSubgroups
-SetLargestElementGroup
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-ExtraspecialGroupCons
-FreeAlgebraOfFpAlgebra
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-SetIsHomomorphismIntoMatrixGroup
-SetIBr
-SetAsGroupGeneralMappingByImages
-IsMonomialElement
-IsLieDimensionSubgroups
-IsClassPositionsOfNormalSubgroups
-IsPcSeries
-SetIsGeneratorsOfSemigroup
-SetGroupOfPcgs
-CheapRandomizerAttr
-SetNiceObject
-SetGreensLRelation
-SetRepresentationIsomorphism
-SetPrimaryGeneratorWords
-IsIsDirectProductClosed
-SetTraceField
-IsOmegaAndLowerPCentralSeries
-SetNormalizerInWholeGroup
-IsComputedMinimalNormalPSubgroupss
-IsPcpElementRep
-IsComputedAgemos
-IsExternalSetDefaultRep
-SetRepresentativesContainedRightCosets
-SetFreeMonoidOfRewritingSystem
-AllInvariantSubgroupsWithQProperty
-MaximalSubgroupClassesByIndex
-WreathProductInfo
-PSocleComponentsOp
-IsStoredGroebnerBasis
-ANonReesCongruenceOfSemigroup
-SetPRump
-IsComputedPCentralSeriess
-MagmaCongruenceByGeneratingPairs
-SetIsUnivariateRationalFunction
-SetComputedOmegas
-IsMatTom
-SylowSubgroupOp
-SetIsAlmostCrystallographic
-IsFrac
-SetFpElmEqualityMethod
-SetBaseMat
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-SetInducedPcgsWrtHomePcgs
-IsCanonicalGenerators
-IsIsParentPcgsFamilyPcgs
-SetAugmentationIdealPowerFactorGroup
-IsCanonicalBasisRationals
-SetRelativeOrders
-SetLowIndexSubgroupClasses
-SetWreathProductInfo
-IsANonReesCongruenceOfSemigroup
-IsUnderlyingCollection
-SetValuesOfClassFunction
-SetFingerprintOfCharacterTable
-IsIsConjugatorIsomorphism
-SetIsMonomialNumber
-IsExp
-SetDefaultFieldOfMatrixGroup
-IsPositionLookupDictionary
-IsIsPointHomomorphism
-IsAlternatingDegree
-SetFreeGeneratorsOfFpGroup
-IsNormedRowVectors
-IsCentralCharacter
-SetIsAlmostBieberbachGroup
-IsSpinSymTable
-SetIsRectangularTable
+DClassOfLClass
+DClassOfRClass
+DIFF_FFE_LARGE
+DataAboutSimpleGroup
 DecomposedRationalClass
-ComponentsOfDirectProductElementsFamily
-AddGenerators
-IsObjSet
-IsAsStraightLineDecision
-ClearDefinitionNC
-IsNormalTorsionSubgroup
-IsDimensionsLoewyFactors
-AsListOfClasses
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-SetSinCos
-SplitExtensionByAutomorphisms
-IsIsomorphismFpMonoid
-PGMultList
-NormalizerInWholeGroup
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-CentralizerInParent
-SetLieUpperNilpotencyIndex
-IsGeneralizedCartanMatrix
-UpperFittingSeries
-IsRowVectorObj
-SetBaseDomain
-IsElementsFamilyByRws
-IsAdditiveElementAsMultiplicativeElement
-SemiringWithOneByGenerators
-IsGroupOfFamily
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-IsCosh
-GeneratorsOfExtRSet
-RowOfReesZeroMatrixSemigroupElement
-IsMonomialOrderingDefaultRep
-IsBicyclicUnitGroup
-SetExtRepPolynomialRatFun
-CanonicalNiceMonomorphism
-IsIsPcgsCentralSeries
-ElementOfFpMonoid
-IsLieNBWeights
-SetColumns
-IsVectorSearchTableDefaultRep
-IsDeligneLusztigName
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-SetComputedPSocleComponentss
-IsIsSemigroupCongruence
-SpaceGroupTypesByPointGroupOnRight
-SetDepthOfUpperTriangularMatrix
-IsTrivialNormalIntersection
-IsGrading
-SetCanonicalPcgsWrtHomePcgs
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-LieDimensionSubgroups
-CombinatorialCollectorByGenerators
-IsNormalOp
-SetBaseIntMat
-IsUnitarySubgroup
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-AutomorphismGroupOfNilpotentLieAlgebra
-IsFamiliesOfGeneralMappingsAndRanges
-SetComputedIsMembers
+DecompositionTypesOfGroup
 DeepThoughtCollector
-FittingFormationProduct
-Modulus
-SetIntFFE
-IsTrans2Rep
-IsDistributiveLOpESum
-SetAlgebraicElementsFamilies
-HomePcgs
-QuotientSystem
-SetNormalizerInGLnZ
-GeneratorsOfSemiring
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-SetAssociatedReesMatrixSemigroupOfDClass
-IsImfRecord
-AddToListEntries
-IsIsCanonicalBasisFullRowModule
-IsIsNumberField
-IsIsLeftIdealInParent
-SetGeneratorsOfRightIdeal
-SetInjector
-SetIsLieCover
-RandomPartitionIntoResidueClasses
-InverseSubsemigroup
+DeepThoughtCollectorByGenerators
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+DefectApproximation
+DefineNewGenerators
+DefiningPcgs
+Degree
+DeligneLusztigName
+DeligneLusztigNames
+Density
+Depth
+DepthAndLeadingExponentOfPcElement
+DerivedSeries
+Descendants
+DescendantsOfStep1OfAbelianLieAlgebra
+DifferenceLists
+DifferenceOfPcElement
+DihedralDepth
+DihedralGenerators
+DihedralGroupCons
+DimensionBasis
+DirectFactorsFittingFreeSocle
+DirectFactorsOfGroup
+DirectProductElement
+DirectProductElementNC
+DirectProductElementsFamily
+DirectProductInfo
+DirectSumInfo
+DisplayEggBoxesOfSemigroup
+DisplaySemigroup
+DistanceOfVectors
+DistinctRepresentatives
+DoCheapActionImages
+DoIO
+DoQueues
+DomainForAction
+DxPreparation
+EfaSeries
+ElementByRws
+ElementOfFpAlgebra
+ElementOfFpMonoid
+ElementTestFunction
+ElementaryAbelianGroupCons
+ElementaryAbelianSubseries
+Elm0List
 EmptyRowVector
-RankMatDestructive
-SetIsCyclic
-PGInverse
-IsMaximalSubgroupsTom
-IsGeneratorsOfLeftIdeal
-IsFiniteSemigroupGreensRelation
-AsLieAlgebra
-IsIsReesZeroMatrixSemigroup
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-IsIsomorphismMatrixField
-IsAutomorphismGroupOfNilpotentLieAlgebra
-SetCyclesOfTransformation
-NonTrivialRightHandSides
-SetUnderlyingCharacterTable
-SetIsNumeratorParentPcgsFamilyPcgs
-SetIsNumberFieldByMatrices
-IsLieNBDefinitions
-SetIsFreeSemigroup
-SetIsIntegralBasis
-SetGeneratorsSmallest
-IsSaturatedFormation
-IsPcpElement
-IsIsFullHomModule
-IsPcgsDefaultRep
-UnderlyingAssociativeAlgebra
-IsRightTransversal
-IsIsSaturated
-SetUnderlyingGroupRing
-IsRightActedOnBySuperset
-SetRightActingAlgebra
-NormalizedUnitCF
-IsOperationAlgebraHomomorphismDefaultRep
-SetGroupHClassOfGreensDClass
-SetTransformsAdditionIntoMultiplication
-IsNormalSeriesByPcgs
-IsInternalRep
-IsExternalSetByActorsRep
-ChiefSeriesTF
-CommonRepresentatives
-IsNotifiedFusionsToLibTom
-IsIsAnticommutative
-IsNonSPMappingByFunctionWithInverseRep
-QuaternionGroupCons
-FilteredOp
-IsPerfectCharacterTable
-SpaceGroupTypesByPointGroupOnLeft
-SetFGA_GeneratorsLetterRep
-IsSemiEchelonMatTransformation
-IsIsomorphismTypeInfoFiniteSimpleGroup
-IsModuloTailPcgsByListRep
-IsIsReduced
-IsIsMinimalNonmonomial
+Encode
+EnumeratorByPcgs
+EpimorphismByGeneratorsNC
+EpimorphismNilpotentQuotientOp
+EquationOrderBasis
+EvaluateConsistency
+EvaluateOverlapANA
+EvaluateOverlapBAN
+EvaluateOverlapBNA
+EvaluateOverlapCBA
+EvaluateRelators
+ExcludedElements
+ExcludedLines
+ExponentOfPowering
+ExponentSums
+Exponents
+ExponentsByObj
+ExponentsOfUnits
+ExtRepByTailVector
+ExtendedIntersectionSumPcgs
+ExtensionInfoCharacterTable
+ExteriorPower
+ExternalFilename
+ExternalOrbitOp
 ExternalSubsetOp
-InverseSemigroupByGenerators
-ElementaryAbelianGroupCons
-SetIntegerDefiningPolynomial
-SetFusionsOfLibTom
-NewConnection
-InvariantForm
-IsFamilyRange
-AsPlist
-IsNormalGeneratorsOfNilpotentResidual
-SetConjugateANC
-IsUnionOfResidueClassesOfZWithFixedRepresentatives
-IsIsMonomialMatrix
-IsIdempotentsTomInfo
-MinimalBlockDimensionOfMatrixGroup
-CrystCatRecord
-IsTranformsOneIntoZero
-IsFamilyElementOfFreeLieAlgebra
-IsIsUnitary
-IsIsSolvablePolynomial
-SetAsInternalFFE
-SetIsGroupClass
-SetGLDegree
-LiftIsomorphismToLieCover
-IsSubspacesFullRowSpaceDefaultRep
-SetPcgsElementaryAbelianSeries
-IsNumeratorParentLayersForExponentsRep
-SetRightActingRingOfIdeal
-RepresentativesMinimalBlocksAttr
-SetProjector
-IsBasisVectors
-SetFieldOfUnitGroup
-IsPerfectIdentification
-SetIsSymmetricInverseSemigroup
-SetPseudoRandomSeed
-SetRefinedPcGroup
-CycleLengthOp
-IsLongestWeylWordPerm
-SetAdjoinedIdentityFamily
-SetSolubleSocleComponents
-SetGroupBases
-IsElementsFamily
-IsOrbitLengthsDomain
-SetIsAbelianNumberField
-IsIsElementaryAbelian
-SemidirectProductInfo
-SetIsCyclicTom
-IsStabilizerOfExternalSet
-SetSolubleSocle
-LiftEpimorphism
-LeadingUEALatticeMonomial
-SetIsStandardAffineCrystGroup
-SetPcgsChiefSeries
-IsPcNormalizedUnitGroup
-IsIsStandardAffineCrystGroup
-IsRightZeroSemigroup
-IsDisplayOptions
-IsWorkerFarmByFork
-SetIsLaurentPolynomial
-SetUpperCentralSeriesOfGroup
-IsAssociativeAOpESum
-IsSparseCartanMatrix
-IsDenseHashRep
-ConvertToNormalFormMonomialElement
-IsDataObjectRep
-IsEmbeddingWreathProductPermGroup
-DefiningPcgs
-ProjectiveGeneralLinearGroupCons
-IsElementFinitePolycyclicGroup
-IsBravaisSubgroups
-SetInvariantLattice
-AsSubFLMLORWithOne
-AlmostCrystallographicInfo
-IsIsSymmetric
-Shutdown
-IsMultiplicativeElementWithInverseByPolycyclicCollector
-IsNestingDepthM
-MaximalOrderBasis
-SetWeightOfGenerators
-SetSemigroupOfRewritingSystem
-Rank
-IsKnowsSomeGroupInfo
-PointHomomorphism
-SetReesCongruenceOfSemigroupIdeal
-NiceNormalFormByExtRepFunction
-CyclicGroupCons
+ExtractSubMatrix
+ExtractSubVector
+Extrarankfilter
+ExtraspecialGroupCons
+FCCentre
+FGA_GeneratorsLetterRep
+FGA_Image
+FGA_NielsenAutomorphisms
+FGA_Source
+FGA_States
+FGA_WhiteheadAutomorphisms
+FGA_WhiteheadParams
+FLMLORByGenerators
+FLMLORWithOneByGenerators
+FPFaithHom
+FactorOrder
+FactorSemigroup
+FactorSemigroupByClosure
+FamilyForRewritingSystem
+FieldOfMatrixList
+FieldOfUnitGroup
+FilteredOp
+FindActionKernel
+FindPowLetterRep
+FingerprintMatrixGroup
+FingerprintOfCharacterTable
+FiniteSubgroupClasses
+FirstOp
+FittingClass
+FittingFormation
+FittingFormationProduct
+FittingFreeLiftSetup
+FittingLength
+FittingProduct
+FittingSet
+Fold
+ForAllOp
+ForAnyOp
+ForgetMemory
+FormationProduct
+FpElementNFFunction
+FpElmEqualityMethod
+FpMonoidOfElementOfFpMonoid
+FpSemigroupOfElementOfFpSemigroup
+FrExp
+FrattinifactorId
+FrattinifactorSize
+FreeAbelianGroupCons
+FreeAlgebraOfFpAlgebra
+FreeGeneratorsOfFpAlgebra
+FreeGeneratorsOfFpMonoid
 FreeGeneratorsOfGroup
-IsBrandtSemigroup
-SetDeligneLusztigNames
-SetBlocksInfo
-SetOrbitsDomain
+FreeGroupAutomaton
+FreeGroupExtendedAutomaton
+FreeMonoidOfFpMonoid
+FreeProductInfo
+FreeProductOp
+FreeStructureOfRewritingSystem
+FroidurePinExtendedAlg
+FroidurePinSimpleAlg
+FromTheLeftCollector
+FullSparseRowSpace
+FusionToTom
+FusionsOfLibTom
+FusionsToLibTom
+GLDegree
+GLUnderlyingField
+GaloisGroupOnRoots
+GenExpList
+GeneralLinearGroupCons
+GeneralOrthogonalGroupCons
+GeneralSemilinearGroupCons
+GeneralUnitaryGroupCons
+GeneralizedPcgs
+GeneratingPairsOfLeftMagmaCongruence
+GeneratingPairsOfMagmaCongruence
+GeneratingPairsOfRightMagmaCongruence
+GeneratorNumberOfQuotient
+GeneratorsAndInverses
+GeneratorsOfExtASet
+GeneratorsOfExtLSet
+GeneratorsOfExtRSet
+GeneratorsOfExtUSet
+GeneratorsOfLayer
+GeneratorsOfLeftOperatorRing
+GeneratorsOfLeftOperatorRingWithOne
+GeneratorsOfMagmaIdeal
+GeneratorsOfReesMatrixSemigroup
+GeneratorsOfReesZeroMatrixSemigroup
+GeneratorsOfSemiring
+GeneratorsOfSemiringWithOne
+GeneratorsOfSemiringWithOneAndZero
+GeneratorsOfSemiringWithZero
+GetCommutatorNC
+GetConjugate
+GetConjugateNC
 GetDefinitionNC
-ComplementClassesRepresentativesSolvableNC
-FactorOrder
-RankOfFreeGroup
-SetIsSemigroupIdeal
-SpaceGroupsByPointGroup
-IsCharacteristicSubgroups
-IsSubrings
-SetIsAlternatingGroup
-IsGeneralRestrictedMappingRep
-SetNilpotencyClassOfGroup
-SetGeneratorsOfDivisionRing
-IsPolycyclicPresentation
-IsMagmaByMultiplicationTableObj
-IsStabChainImmutable
-SetIsPrimitiveMatrixGroup
-IsIsFinitelyGeneratedGroup
-IsPermutationTom
-IsIsSortedList
-SetRelativeIndex
-CentralizerOp
-WyckoffTranslation
-IsNiceNormalFormByExtRepFunction
-IsEmptyRowVector
-IsTransformsAdditiveInversesIntoInverses
-NormalizedUnitCFmod
-IsPrimitiveIdentification
-IsSocleComplement
-IsUniversalEnvelopingAlgebra
-IsSimpleInvAutomatonRep
-IsMolienSeriesInfo
-SetClassPositionsOfNormalSubgroups
-SocleDimensions
-CocVecs
-LieDerivedLength
-SetGeneratorsOfMagmaWithInverses
-IsGlobalPartitionOfClasses
-ResidualOp
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-*
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--
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+HasIsReesZeroMatrixSemigroup
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+HasIsResidueClassWithFixedRepresentative
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+HasIsSolvableTom
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+HasIsSymmetricInverseSemigroup
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+HasIsomorphismSimplifiedFpGroup
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+HasLengthsTom
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+HasLessThanOrEqualFunction
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+HasLieAlgebraByDomain
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+HasLieCentre
+HasLieCover
+HasLieDerivedLength
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+HasMagmaWithZeroAdjoined
+HasMappingGeneratorsImages
+HasMappingOfWhichItIsAsGGMBI
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+HasMatrixByBlockMatrix
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+HasMaximalNormalSubgroups
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+HasMaximalSubgroupClassReps
+HasMaximalSubgroupClassesByIndex
+HasMaximalSubgroups
+HasMaximalSubgroupsLattice
+HasMaximalSubgroupsTom
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+HasMinimalBlockDimensionOfMatrixGroup
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+HasModulusOfZmodnZObj
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+HasMonoidByAdjoiningIdentityElt
+HasMonoidOfRewritingSystem
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+HasMonomialExtrepComparisonFun
+HasMovedPoints
+HasMultiplicationTable
+HasMultiplicativeNeutralElement
+HasMultiplicativeZero
+HasName
+HasNamesLibTom
+HasNamesOfFusionSources
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+HasNaturalBijectionToNormalizedUnitGroup
+HasNaturalBijectionToPcNormalizedUnitGroup
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+HasNaturalHomomorphismByNormalSubgroupNCInParent
+HasNaturalHomomorphismOfLieAlgebraFromNilpotentGroup
+HasNaturalHomomorphismOnHolonomyGroup
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+HasNiceToCryst
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+HasNormalGeneratorsOfNilpotentResidual
+HasNormalHallSubgroups
+HasNormalMaximalSubgroups
+HasNormalSeriesByPcgs
+HasNormalSubgroupClassesInfo
+HasNormalSubgroups
+HasNormalTorsionSubgroup
+HasNormalizedUnitGroup
+HasNormalizerInGLnZ
+HasNormalizerInGLnZBravaisGroup
+HasNormalizerInHomePcgs
+HasNormalizerInParent
+HasNormalizerInWholeGroup
+HasNormalizerPointGroupInGLnZ
+HasNormalizersTom
+HasNormedRowVector
+HasNormedRowVectors
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+HasNotifiedFusionsToLibTom
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+HasNrInputsOfStraightLineProgram
+HasNrMovedPoints
+HasNrSubsTom
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+HasPermutationTom
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+HasProcessID
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 HasProjector
-IsComputedPCores
-SetIsConstantTimeAccessGeneralMapping
-SetAsSemiringWithZero
-SetIsIntegerMatrixGroup
-SetIsPolycyclicPresentation
-IsSin
-SetComponentsOfPartialPerm
-IsCanonicalBasisAbelianNumberFieldRep
-IsPositionDictionary
-UnitriangularMatrixRepresentation
-SetRankAction
-SetCoKernelOfMultiplicativeGeneralMapping
-ExponentsOfUnits
-IsPlistRep
-IsUpperCentralSeriesOfGroup
-IsStabChainMutable
-ReesMatrixSemigroupOfFamily
-IsColorSubgroup
-LieLowerNilpotencyIndex
-SetNaturalHomomorphismOfLieAlgebraFromNilpotentGroup
-PcpGroupByEfaSeries
-SetAsStraightLineProgram
-DIFF_FFE_LARGE
-EfaSeries
-SetUnderlyingMagma
+HasProjectorFunction
+HasPseudoRandomSeed
+HasPthPowerImages
+HasQuasiDihedralGenerators
+HasQuaternionGenerators
+HasQuotientSemigroupCongruence
+HasQuotientSemigroupHomomorphism
+HasQuotientSemigroupPreimage
+HasRClassOfHClass
+HasRadical
+HasRadicalFunction
+HasRadicalGroup
+HasRadicalOfAlgebra
+HasRandomizerAttr
+HasRange
+HasRankAction
+HasRankMat
+HasRankOfFreeGroup
+HasRankOfPartialPermCollection
+HasRankOfPartialPermSemigroup
+HasRankOfTransformation
+HasRankPGroup
+HasRat
+HasRationalClasses
+HasRationalFunctionsFamily
+HasRationalizedMat
+HasRealClasses
+HasRealPart
+HasRecNames
+HasRecogDecompinfoHomomorphism
+HasReducedConfluentRewritingSystem
+HasReesCongruenceOfSemigroupIdeal
+HasReesMatrixSemigroupOfFamily
+HasRefinedPcGroup
+HasRegularActionHomomorphism
+HasRelationsOfFpMonoid
+HasRelationsOfFpSemigroup
+HasRelativeDiameter
+HasRelativeIndex
+HasRelativeOrderPcp
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+HasRelatorsOfFpAlgebra
+HasRelatorsOfFpGroup
+HasRepresentationIsomorphism
+HasRepresentative
+HasRepresentativeSmallest
+HasRepresentativesContainedRightCosets
+HasRepresentativesMinimalBlocksAttr
+HasRepresentativesPerfectSubgroups
+HasRepresentativesSimpleSubgroups
+HasResidual
+HasResidualFunction
+HasRespectsAddition
+HasRespectsAdditiveInverses
+HasRespectsInverses
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+HasRespectsOne
+HasRespectsScalarMultiplication
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+HasSchurExtensionEpimorphism
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+HasSeedFaithfulAction
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+HasSemiEchelonMatTransformation
+HasSemiSimpleEfaSeries
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+HasSourceOfIsoclinicTable
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+HasTanh
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+HasWeylGroup
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+HasWyckoffPositions
+HasWyckoffStabilizer
+HasZClassRepsQClass
+HasZeroCoefficient
+HasZeroImmutable
+HasZeta
+HasZuppos
 HashKeyEnumerator
-SetCharacteristicPolynomial
-IsFittingSet
-TransformsMultiplicationIntoAddition
-MinimalBlockDimension
-IsIsAlmostCrystallographic
-IsSupersolubleProjector
-SetRightOne
-IsFromPcpGHBI
-IsMutableBasisViaNiceMutableBasisRep
-SetNaturalHomomorphismsPool
-PositionSortedOp
-SetIsBravaisGroup
+HirschLength
+HolonomyGroup
+HomePcgs
+HomomorphicCanonicalPcgs
+HomomorphicInducedPcgs
+HomomorphismFactorSemigroup
+HomomorphismFactorSemigroupByClosure
+HomomorphismTransformationSemigroup
 IBr
-IsCentreOfCharacter
-IsONanScottType
-SetCos
-SetCanEasilyCompareElements
-IsLeftActedOnByRing
-SetIdGroup
-IsDihedralDepth
-SetSmallestIdempotentPower
-SetActorOfExternalSet
-SetBoundary
-IsRepresentativesMinimalBlocksAttr
-SetAsTransformation
-IsAsMagma
-MappedExpression
-IsChevalleyBasis
-SetFreeAlgebraOfFpAlgebra
-MaximalBlocksAttr
-SetComputedBrauerTables
-AsLeftModuleGeneralMappingByImages
-SetMaximalSubgroupsLattice
-IsNormalizerPointGroupInGLnZ
-SetIsCommutative
-IsEnumerator
-IsLowerFittingSeries
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-SetFreeGeneratorsOfGroup
-IsMonomialExtrepComparisonFun
-IsElementsFamilyBy32BitsSingleCollector
-SetOmegaAndLowerPCentralSeries
-SetRationalClasses
-IsModuloPcgsRep
-IsFlatMatrix
-IsIsRectangularBand
-AlgebraicElementsFamilies
-SemiringWithZeroByGenerators
-IsWyckoffPositions
-SetSchurExtension
-ProjectorFunction
-SetTestRelativelySM
-SetIsNontrivialDirectProduct
+IOHub
+IO_Pickle
+IO_Result
+IO_Unpickle
+IdGraphNC
+IdIrreducibleSolvableMatrixGroup
+IdPrimitiveSolvableGroup
+IdentifierOfMainTable
+IdentifiersOfDuplicateTables
+IdentityMatrix
+Igs
+ImageFittingSet
+ImfRecord
+ImprimitivitySystems
+ImprimitivitySystemsOp
+IncludedElements
+IncludedLines
+IncorporateCentralRelations
+IndexInParent
+IndexOp
+Induced
+InducedPcgsByGeneratorsWithImages
+InducedPcgsOp
+InducedPcgsWrtHomePcgs
+Injector
+InjectorFunction
+InjectorOp
+InputQueue
+Insert
+IntegerDefiningPolynomial
+IntegerPrimitiveElement
+InternalBasis
+InternalRepGreensRelation
+IntersectionSumPcgs
+InvAutomatonInsertGenerator
+InvariantComplementsOfElAbSection
+InvariantForm
+InverseMonoidByGenerators
+InverseSemigroupByGenerators
+InverseSubmonoid
+InverseSubmonoidNC
+InverseSubsemigroup
+InverseSubsemigroupNC
+Involution
+IrrFacsAlgExtPol
+IrrFacsPol
+Is16BitsAssocWord
+Is16BitsPcWordRep
+Is16BitsSingleCollectorRep
+Is32BitsAssocWord
+Is32BitsPcWordRep
+Is32BitsSingleCollectorRep
+Is8BitMatrixRep
+Is8BitVectorRep
+Is8BitsAssocWord
 Is8BitsFamily
-IsPcgsToPcgsGeneralMappingByImages
-IsRelativeBasisDefaultRep
-ComplementsOfCentralSectionUnderActionNC
-SetComputedPowerMaps
-FpSemigroupOfElementOfFpSemigroup
-IsLeftActingGroup
-IsNaturalPartialOrder
-IsIsNilpotentGroup
-RadicalOp
-AugmentationHomomorphism
-SetMarksTom
-SetIndicesInvolutaryGenerators
-SetIsVectorSpaceHomomorphism
-IsGenericCharacterTableRep
-IsEpicentre
-SetAugmentation
-ProjectorOp
-IsNilpotentProjector
-StandardGeneratorsSubringSCRing
-IsCharacterTableIsoclinic
-IsColorPermGroup
-IsConjugacyClassesPerfectSubgroups
-RowOfReesMatrixSemigroupElement
-ColumnOfReesZeroMatrixSemigroupElement
-OneNormalSubgroupMinWrtQProperty
-IsRepresentativesPerfectSubgroups
-SetStabilizerOfExternalSet
-IsIsZeroGroup
-IsDictionaryDefaultRep
+Is8BitsPcWordRep
+Is8BitsSingleCollectorRep
+IsANFAutomorphismRep
+IsAbsolutelyIrreducible
+IsAbsolutelyIrreducibleMatrixGroup
+IsActionHomomorphism
+IsActionHomomorphismAutomGroup
+IsActionHomomorphismByActors
+IsActionHomomorphismByBase
+IsActionHomomorphismSubset
 IsAdditiveCoset
-IsFrExp
-DeligneLusztigNames
-IsSech
-IsExtRepDenominatorRatFun
-IsReducedConfluentRewritingSystem
-SetIsFullMatrixModule
-DifferenceOfPcElement
-IsTraceField
-SetIsSporadicSimpleCharacterTable
-IsGeneratorsOfNearAdditiveMagmaWithZero
-SetRecNames
-IsIsZxZ
-IsFusionToTom
-IsAdditiveInverseImmutable
-GeneralizedPcgs
-Complement
-Cgs
-SetGroupClass
-DefectApproximation
-SetIsConstantRationalFunction
-GeneratingPairsOfMagmaCongruence
-SetRationalFunctionsFamily
-SetQuasiDihedralGenerators
-IsLeftActingDomain
-SetIsReflexiveBinaryRelation
-IsClassByComplementRep
-SchurExtensionEpimorphism
-IsExp2
-SetCosh
-SetCentralizerPointGroupInGLnZ
-IsSeparablePolynomial
-IsRows
-SetImprimitivitySystems
-SetCommutatorNC
-SetFGA_WhiteheadParams
-SetSylowSystem
-SetIsSupersolvableGroup
-SetIsFrattiniFree
-CyclesOp
-Elm0List
-IsIsLieAbelian
-IsFreeMonoidOfRewritingSystem
-SetIsSchunckClass
-NrConjugacyClassesInSupergroup
-SetCocVecs
-SetQuaternionGenerators
-LowIndexNormalSubgroupsOp
-FreeGeneratorsOfFpAlgebra
-SetFrExp
-SetEnumeratorSorted
-IsMonomialCharacter
-NumberGeneratorsOfRws
-SetRankOfPartialPermSemigroup
-IsClassPositionsOfMinimalNormalSubgroups
-IsDegreeFFE
-Extrarankfilter
-IsKnuthBendixRewritingSystemRep
-IsDistributiveUOpDProd
-SetIsPQuotientSystem
-IsTypeReesMatrixSemigroupElements
-HasIsPSolvable
-SetGeneratorsOfSemiringWithOneAndZero
-CoveringSubgroup
-SetHirschLength
-SetBasis
-IsNilpotentBasis
-AdditiveElementsAsMultiplicativeElementsFamily
-SetGaloisMat
-IsIsEquivalenceRelation
-SetTrunc
-SetIsNormalSubgroupClosed
-IsBoundary
+IsAdditiveCosetDefaultRep
+IsAdditiveElementAsMultiplicativeElementRep
+IsAffineCrystGroupOnLeft
+IsAffineCrystGroupOnLeftOrRight
+IsAffineCrystGroupOnRight
+IsAlgBFRep
+IsAlgebraGeneralMappingByImagesDefaultRep
+IsAlgebraHomomorphismFromFpRep
+IsAlgebraModule
+IsAlgebraicExtensionDefaultRep
+IsAlgebraicExtensionPolynomialRing
+IsAlmostBieberbachGroup
+IsAlmostCrystallographic
+IsAlmostSimpleCharacterTable
+IsAssociativeAOpDSum
+IsAssociativeAOpESum
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 IsDistributiveUOpDSum
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 IsElementOfFpGroup
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 IsElementsFamilyBy8BitsSingleCollector
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 IsEmptyRowVectorRep
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 IsInfiniteListOfNamesRep
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 IsOddAdditiveNestingDepthFamily
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 IsPointHomomorphism
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-.
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 IsSupersolvableCharacterTable
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-IsEpimorphismFromFreeGroup
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-SetReducedConfluentRewritingSystem
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-OmegaCons
-ClassListRep
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-IsComputedMinimalBlockDimensionOfMatrixGroups
+IsSymmetric
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+IsUnionOfResidueClassesOfZWithFixedRepresentatives
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+IsWorkerFarmByFork
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+IsWreathProductElementDefaultRep
+IsWyckoffGraph
+IsWyckoffPosition
 IsZDFRE
-SetInfoText
-IsIsCanonicalBasisFullSCAlgebra
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-IsUnderlyingMagma
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-IsIsNumberFieldByMatrices
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-MemberFunction
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-SetIrrDixonSchneider
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-IsCoKernelOfMultiplicativeGeneralMapping
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-QUO_FFE_LARGE
-SetIsGroupAlgebra
-MatElm
-SetIndeterminateNumberOfUnivariateRationalFunction
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-SetSeedFaithfulAction
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+IsZmodnZepsRep
 IsZxZ
-IsIsWeightedCollector
-NormalizerInHomePcgs
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-AsBinaryRelation
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+MakePreImagesInfoOperationAlgebraHomomorphism
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+MappingOfWhichItIsAsGGMBI
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 MaxNumeratorCoeffAlgElm
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-IsComputedCyclicExtensionsTom
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 MonoidByAdjoiningIdentity
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 PSocleSeries
-IsNonAtomicComponentObjectRep
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+RelationsOfFpMonoid
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+RelativeOrderPcp
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+RemoveDictionary
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+SemidirectProductInfo
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+SetAbelianInvariantsMultiplier
+SetAbelianInvariantsOfList
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+SetAugmentedCosetTableRrsInWholeGroup
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+SetBasisVectors
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+SetBlocksInfo
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+SetBravaisSupergroups
+SetCASInfo
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+SetCanonicalRepresentativeDeterminatorOfExternalSet
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+SetChiefSeriesTF
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+SetClassNamesTom
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+SetClassPositionsOfMinimalNormalSubgroups
+SetClassPositionsOfNormalSubgroups
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+SetClassPositionsOfSolvableResiduum
+SetClassPositionsOfSupersolvableResiduum
+SetClassPositionsOfUpperCentralSeries
+SetClassRoots
+SetClassTypesTom
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+SetCodegreeOfPartialPermCollection
+SetCodegreeOfPartialPermSemigroup
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+SetCoefficientsBySupport
+SetCoefficientsFamily
+SetCoefficientsOfLaurentPolynomial
+SetCoefficientsOfUnivariatePolynomial
+SetCoefficientsOfUnivariateRationalFunction
+SetCoefficientsRing
+SetCollectionsFamily
+SetColorCosetList
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+SetColorSubgroup
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+SetCommutatorANC
+SetCommutatorFactorGroup
+SetCommutatorLength
+SetCommutatorNC
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+SetComponentRepsOfPartialPerm
+SetComponentRepsOfTransformation
+SetComponentsOfDirectProductElementsFamily
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+SetComputedAgemos
+SetComputedAscendingChains
+SetComputedAugmentationIdealPowerFactorGroups
+SetComputedBrauerTables
+SetComputedClassFusions
+SetComputedCoveringSubgroups
+SetComputedCyclicExtensionsTom
+SetComputedHallSubgroups
+SetComputedImprimitivitySystemss
+SetComputedIndicators
+SetComputedInducedPcgses
+SetComputedInjectors
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+SetComputedIsMembers
+SetComputedIsPNilpotents
+SetComputedIsPSolvableCharacterTables
+SetComputedIsPSolvables
+SetComputedIsPrimitiveMatrixGroups
+SetComputedLowIndexNormalSubgroupss
+SetComputedLowIndexSubgroupClassess
+SetComputedMaximalSubgroupClassesByIndexs
+SetComputedMinimalBlockDimensionOfMatrixGroups
+SetComputedMinimalNormalPSubgroupss
+SetComputedOmegas
+SetComputedPCentralSeriess
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+SetComputedPRumps
+SetComputedPSocleComponentss
+SetComputedPSocleSeriess
+SetComputedPSocles
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+SetCosetTableFpHom
+SetCosetTableInWholeGroup
+SetCosetTableNormalClosureInWholeGroup
+SetCosetTableOfFpSemigroup
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+SetCoverHomomorphism
+SetCoverOf
+SetCoveringSubgroup
+SetCrystCatRecord
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+SetCsch
+SetCubeRoot
+SetCycleStructurePerm
+SetCyclesOfTransformation
+SetCyclicExtensionsTom
+SetCyclotomic
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+SetDClassOfLClass
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+SetDefaultFieldOfMatrixGroup
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+SetDegreeFFE
+SetDegreeOfBinaryRelation
+SetDegreeOfCharacter
+SetDegreeOfLaurentPolynomial
+SetDegreeOfPartialPermCollection
+SetDegreeOfPartialPermSemigroup
+SetDegreeOfTransformationCollection
+SetDegreeOfTransformationSemigroup
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+SetDeligneLusztigNames
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+SetDenominatorOfModuloPcgs
+SetDenominatorOfRationalFunction
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+SetDerivedSeriesOfGroup
+SetDerivedSubgroup
+SetDerivedSubgroupsTomPossible
+SetDerivedSubgroupsTomUnique
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+SetDimensionBasis
+SetDimensionOfMatrixGroup
+SetDimensionOfVectors
+SetDimensionsLoewyFactors
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+SetDirectFactorsFittingFreeSocle
+SetDirectFactorsOfGroup
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+SetDirectSumInfo
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+SetDixonRecord
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+SetDomainOfPartialPermCollection
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+SetElementaryAbelianSeriesLargeSteps
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+SetExternalOrbitsStabilizers
+SetExternalSet
+SetFCCentre
+SetFGA_GeneratorsLetterRep
+SetFGA_Image
+SetFGA_NielsenAutomorphisms
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+SetFGA_States
+SetFGA_WhiteheadAutomorphisms
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+SetFamiliesOfGeneralMappingsAndRanges
+SetFamilyForOrdering
+SetFamilyForRewritingSystem
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+SetFamilyRange
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+SetFusionToTom
+SetFusionsOfLibTom
+SetFusionsToLibTom
+SetFusionsTom
+SetGLDegree
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+SetGeneratingPairsOfMagmaCongruence
+SetGeneratingPairsOfRightMagmaCongruence
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+SetGeneratorsOfMagmaWithOne
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+SetGeneratorsOfNearAdditiveMagmaWithZero
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 SetIsSolvableTom
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 SetIsSymmorphicSpaceGroup
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 SetLieNucleus
-Is16BitsSingleCollectorRep
+SetLieObject
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 SetLieUpperCodimensionSeries
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-Kill
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-ParWorkerFarmByFork
-GetPowerNC
-SetDegreeOfTransformationSemigroup
-SetGeneratorsOfMagma
-IsClassPositionsOfLowerCentralSeries
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-IdentifierOfMainTable
+SetLieUpperNilpotencyIndex
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+SetLog2
+SetLongestWeylWordPerm
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 SetMagmaGeneratorsOfFamily
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-MakePreImagesInfoOperationAlgebraHomomorphism
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-SocleComplement
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-GroupString
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-SetRadicalFunction
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+SetMaximalSubgroupsTom
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 SetMinimalBlockDimension
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-Randomizer
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-SetTriangulizedNullspaceMat
-PRumpOp
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-SetPcGroupWithPcgs
-IsPthPowerImages
-SetIsCliffordSemigroup
-Residues
-SetNormalizerPointGroupInGLnZ
-SetLengthsTom
-IsUpperActingDomain
-IsAdditiveCosetDefaultRep
-SetCanonicalNiceMonomorphism
-IsAsInverseSemigroup
-TrivialInvAutomaton
-IsPreImagesRange
-MutableTransposedMatDestructive
-IsPcgsFamily
-IsAugmentationIdealNilpotencyIndex
-IsIsResidueClass
-IsComponentsOfDirectProductElementsFamily
-GenExpList
-IsSizesCentralizers
-SetAsSSortedList
-SetCanonicalPcgsWrtFamilyPcgs
-MagmaIdealByGenerators
-KnowsSomeGroupInfo
+SetMinimalBlockDimensionOfMatrixGroup
 SetMinimalGeneratingSet
-IsQuasiDihedralGenerators
-IsRClassOfHClass
-SetGeneratorsOfInverseSemigroup
-IsExtRSet
-HasLowIndexSubgroupClasses
-GeneratorsOfLeftOperatorRingWithOne
-IsLieObjectsModule
-SetBravaisSubgroups
-IO_Pickle
-IsTrivialUOpEOne
-ImageFittingSet
-IsLGHeads
-TransformsInversesIntoAdditiveInverses
-SetIsomorphismPcGroup
-IsNonGaussianMatrixSpace
-NthRoot
-IsIsPrimeOrdersPcgs
-NaturalHomomorphism
-IsAlgebraModule
-DoQueues
-ComputedPSocles
-PrimePowerComponent
-MinimalNormalPSubgroupsOp
-SetIsGeneralLinearGroup
-SetMappingOfWhichItIsAsGGMBI
-SetIsInverseSemigroup
-IsAutomorphismDomain
-ShrinkCoeffs
-IsUpperActedOnByGroup
-IsSCAlgebraObjSpace
-SetLargestImageOfMovedPoint
-IsLieNilRadical
-SetIsPointGroup
-IsTranslationNormalizer
-GeneratorsOfExtUSet
-ColorSubgroup
-Kernel
-SetIsFiniteOrdersPcgs
-IsExp10
-IsSmallestIdempotentPower
-SetStabChainImmutable
-NewMatrix
-SetIdentifierOfMainTable
-PGAutomorphism
-IsOrbitLengths
-Is8BitVectorRep
-IsIsNilpotentCharacterTable
-IsFactorsOfDirectProduct
-IsCharacteristic
-IsMonoidByAdjoiningIdentityElt
-SetResidualFunction
-SetCharacterParameters
-SetGreensHRelation
-IsRightIdealOp
-IsEmbeddingMagmaMagmaRing
-IsActorOfExternalSet
-SetIsUnitGroupOfGroupRing
-IsWedgeElement
-IsEnumeratorSorted
-IsPlistMatrixRep
-LeftActingGroup
-SetFaithfulModule
-IsStraightLineProgramsTom
-IsIntegerPrimitiveElement
-IsIsOverlappingFree
-IsNiceObject
-SetSmallestMovedPoint
-IsIsNilpotentSemigroup
-SetPerfectIdentification
-IsIsFromAffineCrystGroupToFpGroup
-SetAsSemiringWithOneAndZero
-IsEquivalenceRelationPartition
-IsIsInnerAutomorphism
-SetCyclicExtensionsTom
-DepthAndLeadingExponentOfPcElement
-IsIsNaturalSL
-IsSubalgebraFpAlgebra
-IsBaseOfGroup
-SetFittingFormation
-EpimorphismByGeneratorsNC
-IsIsNormalizedUnitGroupOfGroupRing
-SetGeneratorsOfRing
-SetUnderlyingAssociativeAlgebra
-SetSLDegree
-SetAugmentedCosetTableNormalClosureInWholeGroup
-FirstOp
-IsSemiband
-IsAffineCrystGroupOnLeft
-IsIndicesChiefNormalSteps
-SetIsSemilattice
-SetComputedPRumps
-IsDelta
-IsAbelianInvariantsOfList
-PermOnEnumerator
-IsRepresentativesSimpleSubgroups
-SetWeightsTom
-NaturalBijectionToPcNormalizedUnitGroup
-FGA_GeneratorsLetterRep
-SetNiceToCryst
-IsGeneratorsOfExtRSet
-RightMagmaIdealByGenerators
-AsFLMLOR
-PcpGroupByMatGroup
-NrInputsOfStraightLineDecision
+SetMinimalGeneratorNumber
+SetMinimalNormalPSubgroups
+SetMinimalNormalSubgroups
+SetMinimalStabChain
+SetMinimalSupergroupsLattice
+SetMinimizedBombieriNorm
+SetModuleOfExtension
+SetModulusOfZmodnZObj
+SetMoebiusTom
+SetMolienSeriesInfo
+SetMonoidByAdjoiningIdentity
 SetMonoidByAdjoiningIdentityElt
-SetTransformsInversesIntoAdditiveInverses
-IsGeneratorsOfDivisionRing
-FGA_WhiteheadAutomorphisms
-GeneratorsOfSemiringWithOneAndZero
+SetMonoidOfRewritingSystem
+SetMonomialComparisonFunction
+SetMonomialExtrepComparisonFun
+SetMovedPoints
+SetMultiplicationTable
+SetMultiplicativeNeutralElement
+SetMultiplicativeZero
+SetNameFunction
+SetNamesLibTom
+SetNamesOfFusionSources
+SetNaturalBijectionToAssociativeAlgebra
 SetNaturalBijectionToLieAlgebra
+SetNaturalBijectionToNormalizedUnitGroup
+SetNaturalBijectionToPcNormalizedUnitGroup
+SetNaturalCharacter
+SetNaturalHomomorphismByNormalSubgroupNCInParent
+SetNaturalHomomorphismOfLieAlgebraFromNilpotentGroup
+SetNaturalHomomorphismOnHolonomyGroup
+SetNaturalHomomorphismsPool
+SetNaturalPartialOrder
+SetNegativeRootVectors
+SetNegativeRoots
+SetNestingDepthA
+SetNestingDepthM
+SetNgs
+SetNiceAlgebraMonomorphism
+SetNiceBasis
+SetNiceFreeLeftModule
+SetNiceFreeLeftModuleInfo
+SetNiceMonomorphism
+SetNiceNormalFormByExtRepFunction
+SetNiceObject
+SetNiceToCryst
+SetNilpotencyClassOfGroup
+SetNilpotencyDegree
+SetNilpotentBasis
+SetNilpotentProjector
+SetNonAbelianExteriorSquare
+SetNonAbelianTensorSquare
+SetNonNilpotentElement
+SetNoninvertiblePrimes
+SetNorm
+SetNormalBase
+SetNormalClosureInParent
+SetNormalGeneratorsOfNilpotentResidual
+SetNormalHallSubgroups
+SetNormalMaximalSubgroups
+SetNormalSeriesByPcgs
+SetNormalSubgroupClassesInfo
+SetNormalSubgroups
+SetNormalTorsionSubgroup
+SetNormalizedUnitGroup
+SetNormalizerInGLnZ
+SetNormalizerInGLnZBravaisGroup
+SetNormalizerInHomePcgs
+SetNormalizerInParent
+SetNormalizerInWholeGroup
+SetNormalizerPointGroupInGLnZ
+SetNormalizersTom
+SetNormedRowVector
+SetNormedRowVectors
+SetNotifiedFusionsOfLibTom
+SetNotifiedFusionsToLibTom
+SetNrComponentsOfPartialPerm
 SetNrComponentsOfTransformation
-LinearActionOnMultiplicator
-SetRClassOfHClass
-IsActingDomain
-Pickup
-IsSaturatedFittingFormation
-IsUnitary
-SetAsStraightLineDecision
-AsFLMLORWithOne
-IsStandardAffineCrystGroup
-SetUnderlyingSemigroupOfMonoidByAdjoiningIdentity
-IsStandardGeneratorsSubringSCRing
-SetIsRegularSemigroup
-SetPcSeries
-ColumnOfReesMatrixSemigroupElement
-IsSubgroupFgGroup
-CosetTableFpHom
-RelationsOfFpMonoid
-IsComputedResiduals
-IsCsch
-IsFloor
-NonAbelianExteriorSquare
-IsSLUnderlyingField
-IsCodegreeOfPartialPermSemigroup
-TietzeOrigin
-UnderlyingIndeterminate
-IsDecompositionTypesOfGroup
-IsResidueClassUnionOfGFqx
-IsLieAlgebraByDomain
-IsNgs
-MinimalGeneratorNumber
-IsIsFModularGroupAlgebra
-DClassOfRClass
-IsAsSemiringWithOne
-IsIsReesCongruence
-ExteriorPower
-IsWreathProductInfo
-ComputedPSocleSeriess
-IsDegreeOfTransformationSemigroup
+SetNrConjugacyClasses
 SetNrFixedPoints
-SetStabChainMutable
-SetOrderingsFamily
-SetOrbitLengths
-IsDegreeOfTransformationCollection
-IsResidueClassWithFixedRepresentative
-IsSolubleSocle
-IsLog10
-IsLeftIdealOp
-SetIsNaN
+SetNrInputsOfStraightLineDecision
+SetNrInputsOfStraightLineProgram
+SetNrMovedPoints
+SetNrSubsTom
+SetNullAlgebra
+SetNullspaceIntMat
+SetNullspaceMat
+SetNumberGeneratorsOfRws
+SetNumberSyllables
+SetNumeratorOfModuloPcgs
+SetNumeratorOfRationalFunction
+SetONanScottType
+SetOccuringVariableIndices
+SetOmegaAndLowerPCentralSeries
 SetOmegaSeries
-SetSymmetricParentGroup
-SetFrac
-SetIsNilpQuotientSystem
-SemiringWithOneAndZeroByGenerators
-DoCheapActionImages
-CoverHomomorphism
+SetOneImmutable
+SetOneOfPcgs
+SetOrbitLengths
+SetOrbitLengthsDomain
+SetOrbitStabilizingParentGroup
+SetOrbits
+SetOrbitsDomain
+SetOrder
+SetOrderingOfRewritingSystem
+SetOrderingOnGenerators
+SetOrderingsFamily
+SetOrdersClassRepresentatives
+SetOrdersTom
+SetOrdinaryCharacterTable
+SetOrdinaryFormation
+SetOrientationModule
+SetOrthogonalSpaceInFullRowSpace
+SetPCentralLieAlgebra
+SetPCentralNormalSeriesByPcgsPGroup
+SetPCentralSeries
+SetPClassPGroup
+SetPCore
+SetPRump
+SetPSLDegree
+SetPSLUnderlyingField
+SetPSocle
 SetPSocleComponents
-IsDihedralGroup
-IsSymmetricParentGroup
-IsIsGeneralLinearGroup
-IsUnderlyingGroupRing
-SetIsRestrictedLieAlgebra
-RadicalFunction
-SetIsFullFpAlgebra
-StableSort
-SpaceGroupsByPointGroupOnLeft
-GeneratorsOfExtLSet
-IsLieCentreByMetabelian
-AsInverseSemigroup
-WyckoffPositions
-CanonicalPcgsWrtFamilyPcgs
-OCNormalRelations
-IsSource
-FreeAbelianGroupCons
-SetTrivialSubmagmaWithOne
-IsIsUFDFamily
-IsIntFFESymm
-OneInvariantSubgroupMinWrtQProperty
-SetIsRectangularBand
-IsIndicesInvolutaryGenerators
-SubgroupsOrbitsAndNormalizers
-SetAdditivelyActingDomain
-RightIdealBySubgroup
-IsMember
+SetPSocleSeries
+SetParametersOfGroupViewedAsGL
+SetParametersOfGroupViewedAsPSL
+SetParametersOfGroupViewedAsSL
+SetParentAttr
+SetParentPcgs
+SetPartialClosureOfCongruence
+SetPartialOrderOfHasseDiagram
+SetPcGroupWithPcgs
+SetPcNormalizedUnitGroup
+SetPcSeries
+SetPcUnits
+SetPcgs
+SetPcgsCentralSeries
+SetPcgsChiefSeries
+SetPcgsElementaryAbelianSeries
+SetPcgsPCentralSeriesPGroup
+SetPcpGroupByEfaSeries
+SetPcpsOfEfaSeries
+SetPerfectIdentification
+SetPerfectResiduum
+SetPermanent
 SetPermutationTom
-IsAsDuplicateFreeList
-IsComputedIsMembers
+SetPointGroup
+SetPointHomomorphism
+SetPositiveRootVectors
+SetPositiveRoots
+SetPositiveRootsAsWeights
+SetPowerANC
+SetPowerNC
+SetPowerS
+SetPowerSubalgebraSeries
+SetPreImagesRange
+SetPrecisionFloat
+SetPrefrattiniSubgroup
+SetPrimaryGeneratorWords
+SetPrimeDivisors
+SetPrimeField
+SetPrimePGroup
+SetPrimePowerComponents
+SetPrimePowerGensPcSequence
+SetPrimitiveElement
+SetPrimitiveIdentification
+SetPrimitiveRoot
+SetProcessID
+SetProjectiveOrder
+SetProjectivesInfo
+SetProjector
+SetProjectorFunction
+SetPseudoRandomSeed
+SetPthPowerImages
+SetQuasiDihedralGenerators
+SetQuaternionGenerators
+SetQuotientSemigroupCongruence
+SetQuotientSemigroupHomomorphism
+SetQuotientSemigroupPreimage
+SetRClassOfHClass
+SetRadical
+SetRadicalFunction
+SetRadicalGroup
+SetRadicalOfAlgebra
+SetRandomizerAttr
+SetRange
+SetRankAction
+SetRankMat
+SetRankOfFreeGroup
+SetRankOfPartialPermCollection
+SetRankOfPartialPermSemigroup
+SetRankOfTransformation
+SetRankPGroup
+SetRat
+SetRationalClasses
+SetRationalFunctionsFamily
+SetRationalizedMat
+SetRealClasses
+SetRealPart
+SetRecNames
+SetRecogDecompinfoHomomorphism
+SetReducedConfluentRewritingSystem
+SetReesCongruenceOfSemigroupIdeal
+SetReesMatrixSemigroupOfFamily
+SetRefinedPcGroup
+SetRegularActionHomomorphism
+SetRelationsOfFpMonoid
+SetRelationsOfFpSemigroup
+SetRelativeDiameter
+SetRelativeIndex
+SetRelativeOrder
+SetRelativeOrderNC
+SetRelativeOrderPcp
+SetRelativeOrders
+SetRelatorsOfFpAlgebra
+SetRelatorsOfFpGroup
+SetRepresentationIsomorphism
+SetRepresentative
+SetRepresentativeSmallest
+SetRepresentativesContainedRightCosets
+SetRepresentativesMinimalBlocksAttr
+SetRepresentativesPerfectSubgroups
+SetRepresentativesSimpleSubgroups
+SetResidual
+SetResidualFunction
+SetRespectsAddition
+SetRespectsAdditiveInverses
+SetRespectsInverses
+SetRespectsMultiplication
+SetRespectsOne
+SetRespectsScalarMultiplication
+SetRespectsZero
+SetReverseNaturalPartialOrder
+SetRho
+SetRightActingAlgebra
+SetRightActingDomain
+SetRightActingGroup
+SetRightActingRingOfIdeal
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+SetRootSystem
+SetRootsAsMatrices
+SetRound
+SetRowLength
+SetRows
+SetRules
+SetSLDegree
+SetSLUnderlyingField
+SetSaturatedFittingFormation
+SetSaturatedFormation
+SetSchunckClass
+SetSchurCover
+SetSchurExtension
+SetSchurExtensionEpimorphism
+SetSec
+SetSech
+SetSeedFaithfulAction
+SetSemiEchelonBasis
+SetSemiEchelonMat
+SetSemiEchelonMatTransformation
+SetSemiSimpleEfaSeries
 SetSemiSimpleType
-SetCentralIdempotentsOfSemiring
-SetKernelOfAdditiveGeneralMapping
-StripMemory
-IsMinimalGeneratorNumber
-SetGeneratorsOfLeftOperatorRingWithOne
-IsSlotUsagePattern
-MutableCopyMat
-IsIsFullSubgroupGLorSLRespectingQuadraticForm
-AsRightMagmaIdeal
-IsIsDihedralGroup
-DeepThoughtCollectorByGenerators
-SetAsMonoid
-SetLieFamily
-SetCommutatorLength
-SetColorHomomorphism
+SetSemidirectFactorsOfGroup
+SetSemidirectProductInfo
+SetSemigroupOfRewritingSystem
+SetSignFloat
+SetSignPerm
+SetSimpleSystem
+SetSimsNo
+SetSin
+SetSinCos
+SetSinh
+SetSize
+SetSizeOfSmallestResidueClassRing
+SetSizesCentralizers
+SetSizesConjugacyClasses
+SetSlotUsagePattern
+SetSmallGeneratingSet
+SetSmallestGeneratorPerm
+SetSmallestIdempotentPower
+SetSmallestImageOfMovedPoint
+SetSmallestMovedPoint
+SetSocle
+SetSocleComplement
+SetSocleComponents
+SetSocleDimensions
+SetSocleTypePrimitiveGroup
+SetSolubleSocle
+SetSolubleSocleComponents
+SetSortingPerm
+SetSource
+SetSourceOfIsoclinicTable
+SetSparseCartanMatrix
+SetSpecialPcgs
+SetSpinSymIngredients
 SetSplittingField
-IsPrimitiveAffine
-PCentralSeriesOp
-IsComponentsOfTransformation
-IsComputedInjectors
-IsMemberFunction
-IsOmegaSeries
-ColorCosetList
-SetIsFiniteDimensional
-FittingClass
-SetGeneratorsOfInverseMonoid
-IsRho
-Fold
-SetNrSubsTom
-IsType
-SetEpimorphismSchurCover
-SetFactorsOfDirectProduct
-SetNumeratorOfModuloPcgs
-TypeOfObjWithMemory
+SetSquare
+SetStabChainImmutable
+SetStabChainMutable
+SetStabChainOptions
+SetStabilizerOfExternalSet
+SetStandardGeneratorsInfo
+SetStandardGeneratorsSubringSCRing
+SetStoredExcludedOrders
+SetStoredGroebnerBasis
+SetStoredPermliftSeries
+SetStraightLineProgElmType
+SetStraightLineProgramsTom
+SetString
+SetStructureConstantsTable
+SetStructureDescription
+SetSubdirectProductInfo
+SetSubfields
+SetSubgroupsOfIndexTwo
+SetSubnormalSeriesInParent
+SetSubrings
+SetSubsTom
+SetSubspaces
+SetSuccessors
+SetSup
+SetSupersolubleProjector
+SetSupersolvableResiduum
+SetSupport
+SetSurjectiveActionHomomorphismAttr
+SetSylowComplement
+SetSylowSubgroup
+SetSylowSystem
+SetSymmetricDegree
+SetSymmetricParentGroup
+SetTableOfMarks
+SetTailOfElm
+SetTan
+SetTanh
+SetTestMonomial
+SetTestMonomialQuick
+SetTestQuasiPrimitive
+SetTestRelativelySM
+SetTestSubnormallyMonomial
+SetTietzeOrigin
+SetTomDataAlmostSimpleRecognition
+SetTorsionSubgroup
+SetTrace
+SetTraceField
+SetTraceOfMagmaRingElement
+SetTranformsOneIntoZero
+SetTransParts
+SetTransformationRepresentation
+SetTransformsAdditionIntoMultiplication
+SetTransformsAdditiveInversesIntoInverses
+SetTransformsInversesIntoAdditiveInverses
+SetTransformsMultiplicationIntoAddition
+SetTransformsZeroIntoOne
+SetTransitiveIdentification
+SetTransitivity
 SetTranslationBasis
-SetLog2
-IsMaximalSubgroupsLattice
-SetBaseOrthogonalSpaceMat
-SetIsomorphismFpGroup
-OmegaAndLowerPCentralSeries
-FLMLORWithOneByGenerators
-IsAugmentationIdealOfDerivedSubgroupNilpotencyIndex
-IsFpElmEqualityMethod
-IsGeneratorsOfLeftOperatorRing
-LieNucleus
-ComputedAgemos
-IsCommutativeFamily
-SetAlpha
-SetNamesOfFusionSources
-SetDecompositionMatrix
-AssociatedConcreteSemigroup
-IsComputedAugmentationIdealPowerFactorGroups
-SetCharacteristicOfField
-HomomorphismFactorSemigroup
-SetNormalSubgroups
-IsComputedIndicators
-IsIsCentralFactor
-SetPerfectResiduum
-SetIsNilpotentSemigroup
-SetCanonicalRepresentativeDeterminatorOfExternalSet
-IsSparseRowSpaceElement
-IsCanEasilyDetermineCanonicalRepresentativeExternalSet
-IsPQuotientSystem
-SetIsZeroSimpleSemigroup
-SetLinearActionBasis
-IsUnderlyingSemigroup
-SetMatrixByBlockMatrix
-IsCommutativeSemigroup
-SetPcgsCentralSeries
-SetIsImpossible
-IsLinesOfStraightLineDecision
-SetAffineCrystGroupOfPointGroup
-HomomorphicInducedPcgs
-IsFpElmComparisonMethod
-TorsionSubgroup
-IsFrattinifactorSize
-IsFreeGeneratorsOfFpMonoid
-SetIsJacobianRing
-IsActionHomomorphismAttr
-IsFGA_Image
-IsIsPGroup
-SetFreeMonoidOfFpMonoid
-IsElementsFamilyBy16BitsSingleCollector
-SetAsBBoxProgram
-DirectProductElementNC
-SetImageListOfPartialPerm
-SetIsSemigroupCongruence
-SetIsSpaceGroup
-WyckoffBasis
-DescendantsOfStep1OfAbelianLieAlgebra
-SetIsNormalForm
-SetComputedClassFusions
-IsIsNInfinity
+SetTranslationNormalizer
+SetTransposedMatImmutable
+SetTransposedMatrixGroup
+SetTriangulizedNullspaceMat
+SetTrivialCharacter
+SetTrivialSubmagmaWithOne
 SetTrivialSubnearAdditiveMagmaWithZero
-ParametersOfGroupViewedAsSL
-.:=
-AffineNormalizer
-LiftAutorphismToLieCover
-IsCRISP_SmallGeneratingSet
-SetIsGroupOfAutomorphisms
+SetTrunc
+SetTwoClosure
+SetTypeOfObjWithMemory
+SetTypeReesMatrixSemigroupElements
+SetTzOptions
+SetTzRules
+SetUnderlyingAssociativeAlgebra
+SetUnderlyingCharacterTable
+SetUnderlyingCharacteristic
+SetUnderlyingCollection
+SetUnderlyingExternalSet
+SetUnderlyingFamily
+SetUnderlyingField
+SetUnderlyingGeneralMapping
+SetUnderlyingGroup
+SetUnderlyingGroupRing
+SetUnderlyingIndeterminate
+SetUnderlyingInjectionZeroMagma
+SetUnderlyingLeftModule
+SetUnderlyingLieAlgebra
+SetUnderlyingMagma
+SetUnderlyingRelation
+SetUnderlyingRing
+SetUnderlyingRingElement
+SetUnderlyingSemigroup
+SetUnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt
 SetUnderlyingSemigroupFamily
-SetSmallGeneratingSet
-IsIrrBaumClausen
-SetChevalleyBasis
-ProjectiveSymplecticGroupCons
-IsIsCommutative
-SetGreensDRelation
-SetFingerprintMatrixGroup
-SetRelativeDiameter
-SetIsSimpleSemigroup
-IsDirectFactorsOfGroup
-SetGeneratorsOfRightOperatorAdditiveGroup
-AsMagmaIdeal
-LargeGaloisField
-SetSymmetricDegree
-IsBBoxProgram
-RecogDecompinfoHomomorphism
-AllNormalSubgroupsWithNProperty
-SetGeneralizedPcgs
-IsCrystCatRecord
-IsGroupOfAutomorphismsFiniteGroup
-IsGeneratorsOfLeftOperatorRingWithOne
-IsIdentityMapping
-NewIdentityMatrix
-IsResidueClassUnionResidueListRep
-ComputedIsPNilpotents
-IsLinearGeneralMappingByImagesDefaultRep
-IsEggBoxOfDClass
-RadicalSeriesSolvableMatGroup
-IsRealRandomSource
-SetDegreeOfCharacter
-PSocleSeriesOp
-SetTransformationRepresentation
-IsGeneratorsOfMagma
+SetUnderlyingSemigroupOfMonoidByAdjoiningIdentity
+SetUnitGroup
+SetUnitarySubgroup
+SetUnits
+SetUniversalEnvelopingAlgebra
+SetUpperActingDomain
+SetUpperCentralSeriesOfGroup
+SetUpperFittingSeries
+SetUseLibraryCollector
+SetValuesOfClassFunction
+SetWeightOfGenerators
 SetWeightedBasis
-SetSemidirectFactorsOfGroup
-SetNilpotentProjector
-IsGrowthFunctionOfGroup
-HomomorphismFactorSemigroupByClosure
-^
-SetIsSolvablePolynomial
-IsIsLeftSemigroupIdeal
-SetFamilyForRewritingSystem
-SetFlatKernelOfTransformation
-Depth
-SetGroupInfoForCharacterTable
-SetCrystCatRecord
-SetCanonicalPcgsWrtSpecialPcgs
-IsNormalizerInGLnZ
-SetFusionsTom
-SetLevelsOfGenerators
-IsGaloisMat
-SetBaumClausenInfo
-IsPresentationDefaultRep
-IsUnderlyingGeneralMapping
-IsOrdersTom
-IsPrimePGroup
-IsComputedPrimeBlockss
-IsIsBuiltFromMagma
-SemiEchelonMatTransformationDestructive
-IsLetterRepWordsLessFunc
-SetFGA_States
-SetIsIdempotentGenerated
-IsInducedPcgsWrtFamilyPcgs
-NormalizerOfPronormalSubgroup
-IsImaginaryPart
-IsRecNames
-FGA_Image
-SetPrimitiveIdentification
-IsFamily
-SetRound
-IsLatticeSubgroupsRep
-SetIsRowModule
+SetWeightsTom
+SetWeylGroup
+SetWreathProductInfo
+SetWyckoffOrbit
+SetWyckoffPositions
+SetWyckoffStabilizer
+SetZClassRepsQClass
+SetZeroCoefficient
+SetZeroImmutable
+SetZeta
+SetZuppos
+ShrinkCoeffs
+Shutdown
+ShutdownServingSocket
+SiftedPcElementWrtPcSequence
+SingleCollectorByGenerators
+SizeOfSmallestResidueClassRing
+SocleComplement
+SocleComponents
+SocleDimensions
+SolubleSocle
+SolubleSocleComponents
+SolutionMatNoCo
 SortedSparseActionHomomorphismOp
-IsIsHandledByNiceMonomorphism
-IsIsUnitGroupIsomorphism
-CoreInParent
-SetIsQuaternionGroup
-IsNormalClosureInParent
-SetIsTorsionFree
-SetFusionConjugacyClassesOp
-SetIsSimpleGroup
-IsIsSemiRegular
-IsRepresentationIsomorphism
-SetIsSolvableCharacterTable
-IdentifiersOfDuplicateTables
-SetDClassOfLClass
-IsPerfectResiduum
-SetIsSymmetric
-DefineNewGenerators
-IsTrivialROpEZero
-SetIdentificationOfConjugacyClasses
-SetIsomorphismReesMatrixSemigroup
-IsTorsionFree
-OrbitStabilizingParentGroup
-IsFreeSemigroupOfRewritingSystem
-IsVectorSpaceHomomorphism
-IsLGLength
-CentralIdempotentsOfSemiring
-LieNormalizerInParent
-TranslationBasis
-IsIsIntegerMatrixGroup
-IsBasisOfMonomialSpaceRep
+SpaceGroupTypesByPointGroup
+SpaceGroupTypesByPointGroupOnLeft
+SpaceGroupTypesByPointGroupOnRight
+SpaceGroupsByPointGroup
+SpaceGroupsByPointGroupOnLeft
 SpaceGroupsByPointGroupOnRight
-IsDistributiveROpDSum
-IsAsSemiringWithOneAndZero
-IsNilpotentByFinite
-SetTransitivity
-SetGeneratorsOfExtUSet
-SetZeta
-SetIS_NSORT_LIST
-IsIsMaximalAbsolutelyIrreducibleSolvableMatrixGroup
-SetIndicesNormalSteps
-SetAsGroup
-IsIsMonomialCharacter
-IsRecogDecompinfoHomomorphism
-PrintListOneItemPerLine
-DisplayEggBoxesOfSemigroup
-UnderlyingRing
-SetRespectsOne
-SetBoundaryFunction
-IsClassPositionsOfCentre
-SetFGA_Image
-IsUnionOfResidueClassesOfZ_piWithFixedRepresentatives
+SparseActionHomomorphismOp
+SpecialLinearGroupCons
+SpecialOrthogonalGroupCons
 SpecialSemilinearGroupCons
-IsClass
-SetComputedIsPrimitiveMatrixGroups
-IsMaximalOrderBasis
-IsIsRationalMatrixGroup
-SizeOfSmallestResidueClassRing
-NaturalHomomorphismOnHolonomyGroup
-SetInvariantBilinearForm
-GeneratorsOfLeftOperatorRing
-IsExtensionInfoCharacterTable
-SetSpinSymIngredients
-IsDegreeOfPartialPermCollection
-DistinctRepresentatives
-IsDimensionBasis
-SetMemberFunction
-IsListDictionary
-ExternalFilename
-IsIsomorphismTransformationMonoid
-SetPClassPGroup
-IsIsLieNilpotent
-IsResiduallyClosed
-SetIsNilpotentBasis
-SetNiceBasis
-IsIsWellFoundedOrdering
-IsToPcpGHBI
-SetUnderlyingRing
-IsGroupInfoForCharacterTable
-PcgsNormalizerOfPronormalSubgroup
-AllProducts
-FreeStructureOfRewritingSystem
-AllGraphs
-PartialAugmentations
-IsIsInverseSemigroup
-IsRightTransversalInParent
-SetIsUFDFamily
-SetRelatorsOfFpAlgebra
-Exponents
-IsIsMultGroupByFieldElemsIsomorphism
-IsDistributiveUOpESum
-ComputedResiduals
-IsRules
-IsEmbeddingRingMagmaRing
-IsFreeGeneratorsOfGroup
-IsSinCos
-IsCos
-SetIsCompletelySimpleSemigroup
-IsIsAffineCrystGroupOnLeft
-IsSemiEchelonBasisOfGaussianRowSpaceRep
-IsFaithfulModule
-IsNormalSubgroupClassesInfo
-IsNoImmediateMethodsObject
-IsIndexPeriodOfPartialPerm
-PreOrbishProcessing
+SpecialUnitaryGroupCons
+SpinSymIngredients
+SplitExtensionByAutomorphisms
+SplitWordTail
+SplittedClass
+StabilizerFuncOp
+StableSort
+StableSortBy
+StableSortParallel
+StandardGeneratorsInfo
+StandardGeneratorsSubringSCRing
+StoreLenIn8Bytes
+StoredExcludedOrders
+StoredPermliftSeries
+StraightLineProgElmType
+StraightLineProgramElmRankFilter
+StraightLineProgramFromStraightLineDecision
+StringDotSuffix
+StripMemory
+SubdirectProductInfo
+SubdirectProductOp
+SubgroupsOfIndexTwo
+SubgroupsOrbitsAndNormalizers
+SubgroupsUnipotentByAbelianByFinite
+Submit
+SubmitOutput
+SubnormalSeriesInParent
+SubnormalSeriesOp
+SumOfPcElement
+SumOp
+SumPcgs
+Superlattices
+SupersolubleProjector
+Support
+SuzukiGroupCons
+SyllableRepAssocWord
+SylowComplementOp
+SylowSubgroupOp
+SymmetricDegree
+SymmetricGroupCons
+SymmetricPower
+SymplecticGroupCons
+TableHasIntKeyFun
+TailOfElm
+TailsInverses
+TeXObj
+TensorProductOp
+TietzeOrigin
+TomDataAlmostSimpleRecognition
+TopExtensionsByAutomorphism
+TorsionSubgroup
+TraceDefinition
+TraceField
+TraceOfMagmaRingElement
+TranformsOneIntoZero
+TransParts
+TransformationRepresentation
+TransformsAdditionIntoMultiplication
+TransformsAdditiveInversesIntoInverses
+TransformsInversesIntoAdditiveInverses
+TransformsMultiplicationIntoAddition
+TransformsZeroIntoOne
+TranslationBasis
+TranslationNormalizer
+TriangulizedNullspaceMatNT
+TrivialGroupCons
+TrivialInvAutomaton
+TwoSidedIdealBySubgroup
+TypeOfObjWithMemory
+TypeReesMatrixSemigroupElements
+TzRules
+UChar
+Unbind.
+Unbind[]
+UnderlyingAssociativeAlgebra
+UnderlyingCollection
+UnderlyingElementOfReesMatrixSemigroupElement
+UnderlyingElementOfReesZeroMatrixSemigroupElement
+UnderlyingField
+UnderlyingGroupRing
+UnderlyingIndeterminate
+UnderlyingRing
+UnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt
+UnderlyingSemigroupFamily
+UnderlyingSemigroupOfMonoidByAdjoiningIdentity
+Unfold
+Unicode
+UnionOfResidueClassesWithFixedRepresentativesCons
+UnipotentCharacter
+UnitGroup
+UnitarySubgroup
+UnitriangularMatrixRepresentation
+Unpack
+UpdatePolycyclicCollector
+UpperActingDomain
+UpperCentralSeries
+UpperFittingSeries
+UseLibraryCollector
+ValueInterval
+Vector
+WaitUntilIdle
+WeightOfVector
+WeightedBasis
+WreathProductInfo
+WyckoffBasis
+WyckoffGraph
+WyckoffOrbit
+WyckoffPositions
+WyckoffSpaceGroup
+WyckoffStabilizer
+WyckoffTranslation
+ZOp
 Z_piCons
-IsIsInfiniteAbelianizationGroup
-IsDerivedLength
-IsAsRing
-HomomorphicCanonicalPcgs
-IsAdditiveNeutralElement
-IsAbelianInvariants
-SetTraceOfMagmaRingElement
-IsConjugacyClassGroupRep
+ZeroMatrix
+ZeroVector
+[]
+[]:=
+^
+_GapToJsonStreamInternal
+in
+mod
+{}
+{}:=
-- 
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