*  4.13  +  4.13  -  4.13  -A  3.1  -B  3.1  -b  3.1  -D  3.1  -E  3.1  -e  3.1  -f  3.1  -g  3.1  -g -g  3.1  -h  3.1  -infinity  18.2-1  -K  3.1  -L  3.1  -l  3.1  -m  3.1  -M  3.1  -n  3.1  -O  3.1  -o  3.1  -P  3.1  -p  3.1  -q  3.1  -r  3.1  -R  3.1  -s  3.1  -T  3.1  -W  3.1  -x  3.1  -y  3.1  -z  3.1  /  4.13  \"  27.2  \'  27.2  \0xYZ  27.2  \\  27.2  \b  27.2  \c  27.2  \r  27.2  \XYZ  27.2  ^, for class functions  72.4  \<  31.11-1  \*  31.12-1  \*, for transformations  53.4  \+  31.12-1  \.  29.7-3  \.\:\=  29.7-3  \/  31.12-1  \/, for a transformation and a permutation  53.4  \<, for transformations  53.4  \=  31.11-1  \=, for transformations  53.4  \=, for two elements in a f.p. group  47.3-1  \[\]  21.2-1  \[\]\:\=  21.2-1  \^  31.12-1  \^, for a positive integer and a transformation  53.4  \in, element test for lists  21.8-1  \mod  31.12-1  \{\}  21.3-1  \{\}\:\=  21.4-1  ^  4.13  AbelianGroup  50.1-3  AbelianInvariants  39.16-1  AbelianInvariants, for groups  39.16-1  AbelianInvariantsMultiplier  39.24-3  AbelianInvariantsNormalClosureFpGroup  47.15-4  AbelianInvariantsNormalClosureFpGroupRrs  47.15-5  AbelianInvariantsOfList  25.2-10  AbelianInvariantsSubgroupFpGroup  47.15-1  AbelianInvariantsSubgroupFpGroupMtc  47.15-2  AbelianInvariantsSubgroupFpGroupRrs, for a group and a coset table  47.15-3  AbelianNumberField  60.1-2  AbelianSubfactorAction  41.8-3  AbsInt  14.2-6  AbsoluteDiameter  19.5-4  AbsoluteIrreducibleModules  71.15-2  AbsolutelyIrreducibleModules  71.15-2  AbsoluteValue  18.1-8  AbsolutIrreducibleModules  71.15-2  AbstractWordTietzeWord  48.3-2  AClosestVectorCombinationsMatFFEVecFFE  23.6-5  AClosestVectorCombinationsMatFFEVecFFECoords  23.6-5  Acos  19.2-10  Acosh  19.2-10  ActingAlgebra  62.11-13  ActingDomain  41.12-3  Action, for a group, an action domain, etc.  41.7-2  ActionHomomorphism, for a group, an action domain, etc.  41.7-1  ActivateProfileColour  7.8-18  ActorOfExternalSet  41.12-15  Add  21.4-2  AddCoeffs  23.4-2  AddDictionary  28.3-4  AddGenerator  48.5-1  AddGeneratorsExtendSchreierTree  43.11-10  AdditiveInverse  31.10-9  AdditiveInverseAttr  31.10-9  AdditiveInverseImmutable  31.10-9  AdditiveInverseMutable  31.10-9  AdditiveInverseOp  31.10-9  AdditiveInverseSameMutability  31.10-9  AdditiveInverseSM  31.10-9  AdditiveNeutralElement  55.3-5  AddRelator  48.5-3  AddRowVector  23.4-1  AddRule  38.1-9  AddRuleReduced  38.1-10  AddSet  21.19-4  AdjointAssociativeAlgebra  64.9-2  AdjointBasis  62.9-5  AdjointMatrix  64.9-1  AdjointModule  62.11-19  AffineAction  45.14-4  AffineActionLayer  45.14-5  Agemo  39.14-2  Algebra  62.2-1  AlgebraByStructureConstants  62.4-1  AlgebraGeneralMappingByImages  62.10-1  AlgebraHomomorphismByImages  62.10-2  AlgebraHomomorphismByImagesNC  62.10-3  AlgebraicExtension  67.1-1  AlgebraicExtensionNC  67.1-1  AlgebraWithOne  62.2-2  AlgebraWithOneGeneralMappingByImages  62.10-4  AlgebraWithOneHomomorphismByImages  62.10-5  AlgebraWithOneHomomorphismByImagesNC  62.10-6  AllAutomorphisms  40.9-3  AllBlocks  41.11-4  AllEndomorphisms  40.9-3  AllHomomorphismClasses  40.9-2  AllHomomorphisms  40.9-3  AllLibraryGroups  50.5  AllPrimitiveGroups  50.5  AllSmallNonabelianSimpleGroups  39.15-16  AllSubgroups  39.19-7  AllTransitiveGroups  50.5  Alpha  75.2-1  AlternatingGroup, for a degree  50.1-11  and  20.4-2  ANFAutomorphism  60.4-2  AntiIsomorphismTransformationSemigroup  53.7-6  AntiSymmetricParts  72.11-3  Append  21.4-5  AppendTo  9.7-3  ApplicableMethod  7.2-1  ApplicableMethodTypes  7.2-1  Apply  21.20-10  ApplySimpleReflection  64.7-4  ApproximateSuborbitsStabilizerPermGroup  43.10-15  ARCH_IS_MAC_OS_X  3.4-2  ARCH_IS_UNIX  3.4-1  ARCH_IS_WINDOWS  3.4-3  arg, special function argument  4.23  Argument, for complex floats  19.4-1  ArithmeticElementCreator  80.9-1  Arrangements  16.2-4  AsAlgebra  62.9-7  AsAlgebraWithOne  62.9-8  AsBinaryRelationOnPoints, for a binary relation  33.3-3  AsBlockMatrix  24.17-1  AscendingChain  39.17-16  AsDivisionRing  58.1-9  AsDuplicateFreeList  21.20-5  AsField  58.1-9  AsGroup  39.2-5  AsGroupGeneralMappingByImages  40.1-5  Asin  19.2-10  Asinh  19.2-10  AsInternalFFE  59.2-6  AsLeftIdeal  56.2-11  AsLeftModule  57.1-5  AsList  30.3-8  AsMagma  35.2-10  AsMonoid  51.2-5  AsPartialPerm, for a permutation  54.4-1  AsPermutation  42.5-6  AsPolynomial  66.4-5  AsRightIdeal  56.2-11  AsSemigroup  51.1-6  Assert  7.5-3  AssertionLevel  7.5-2  AsSet  30.3-10  AssignGeneratorVariables  37.2-3  AssignNiceMonomorphismAutomorphismGroup  40.8-1  AssociatedPartition  16.2-28  AssociatedReesMatrixSemigroupOfDClass  51.9-11  Associates  56.5-4  AssocWordByLetterRep  37.6-9  AsSortedList  30.3-9  AsSSortedList  30.3-10  AsStruct  31.4  AsSubalgebra  62.9-9  AsSubalgebraWithOne  62.9-10  AsSubgroup  39.3-4  AsSubgroupOfWholeGroupByQuotient  47.13-3  AsSubmagma  35.2-11  AsSubmonoid  51.2-6  AsSubsemigroup  51.1-7  AsSubspace  61.2-4  AsSubstruct  31.8  AsTransformation  53.3-1  AsTwoSidedIdeal  56.2-11  AsVectorSpace  61.2-3  Atan  19.2-10  Atan2  19.2-10  Atanh  19.2-10  AtlasIrrationality  18.4-6  AttributeValueNotSet  13.6-3  AugmentationIdeal  65.1-7  AugmentedCosetTableInWholeGroup  47.9-1  AugmentedCosetTableMtc  47.9-2  AugmentedCosetTableRrs  47.9-3  AutomorphismDomain  40.7-3  AutomorphismGroup  40.7-1  AutomorphismGroup, for groups with pcgs  45.16  AutomorphismsOfTable  71.9-4  BANNER  77.4  BaseFixedSpace  24.7-8  BaseIntersectionIntMats  25.1-5  BaseIntMat  25.1-4  BaseMat  24.11-1  BaseMatDestructive  24.11-2  BaseOfGroup  43.10-2  BaseOrthogonalSpaceMat  24.11-3  BaseStabChain  43.10-1  BaseSteinitzVectors  24.11-5  BasicSpinRepresentationOfSymmetricGroup  39.24-9  BasicWreathProductOrdering  34.4-11  Basis  61.5-2  BasisNC  61.5-2  BasisNullspaceModN  24.15-2  BasisVectors  61.6-1  Bell  16.1-3  Bernoulli  16.1-4  BestQuoInt  14.3-2  BestSplittingMatrix  71.17-5  BetaSet  16.2-32  BiAlgebraModule  62.11-6  BiAlgebraModuleByGenerators  62.11-3  BibEntry  76.3-16  BilinearFormMat  64.6-13  BinaryRelationByElements  33.1-2  BinaryRelationOnPoints  33.3-1  BinaryRelationOnPointsNC  33.3-1  BindConstant  4.9-8  BindGlobal  4.9-8  Binomial  16.1-2  BisectInterval  19.5-10  BlistList  22.2-1  BlockMatrix  24.17-2  Blocks, for a group, an action domain, etc.  41.11-1  BlocksInfo  71.11-3  BlownUpMat  24.13-4  BlownUpVector  24.13-5  BlowupInterval  19.5-9  BlowUpIsomorphism  44.3-3  BombieriNorm  66.12-1  BrauerCharacterValue  72.15-2  BrauerTable, for a character table, and a prime integer  71.3-2  BrauerTableOp  71.3-2  BravaisGroup  44.6-11  BravaisSubgroups  44.6-12  BravaisSupergroups  44.6-13  break statement  4.21  BuildBitfields  14.8-2  CallFuncList  5.2-1  CallFuncListWrap  5.2-1  CanComputeIndex  39.26-5  CanComputeIsSubset  39.26-6  CanComputeSize  39.26-3  CanComputeSizeAnySubgroup  39.26-4  CanEasilyCompareElements  31.11-2  CanEasilyCompareElementsFamily  31.11-2  CanEasilyComputePcgs  45.2-3  CanEasilyComputeWithIndependentGensAbelianGroup  39.26-2  CanEasilySortElements  31.11-2  CanEasilySortElementsFamily  31.11-2  CanEasilyTestMembership  39.26-1  CanonicalBasis  61.5-3  CanonicalGenerators  64.6-14  CanonicalPcElement  45.5-9  CanonicalPcgs  45.8-2  CanonicalPcgsByGeneratorsWithImages  45.9-7  CanonicalRepresentativeDeterminatorOfExternalSet  41.12-14  CanonicalRepresentativeOfExternalSet  41.12-13  CanonicalRightCosetElement  39.7-3  CartanMatrix  64.6-12  CartanSubalgebra  64.3-7  Cartesian, for a list  21.20-16  CategoriesOfObject  13.3-2  CategoryByName  13.3-3  CategoryCollections  30.2-4  CategoryFamily  13.3-6  Ceil  19.2-10  Center  35.4-5  CentralCharacter  72.8-17  CentralIdempotentsOfAlgebra  62.9-17  Centralizer, for a class of objects in a magma  35.4-4  Centralizer, for groups with pcgs  45.16  CentralizerInGLnZ  44.6-8  CentralizerModulo  39.18-7  CentralizerSizeLimitConsiderFunction  45.17-2  CentralNormalSeriesByPcgs  45.11-8  Centre  35.4-5  Centre, for groups with pcgs  45.16  CentreOfCharacter  72.8-11  CF, for (subfield and) conductor  60.1-1  ChangeStabChain  43.11-3  Character, for a character table and a list  72.6-3  CharacterDegrees, for a character table  71.8-1  Characteristic  31.10-1  CharacteristicPolynomial  24.13-1  CharacteristicSubgroups  39.19-12  CharacterNames  71.9-6  CharacterParameters  71.9-7  CharacterTable, for a group  71.3-1  CharacterTableDirectProduct  71.20-1  CharacterTableFactorGroup  71.20-3  CharacterTableIsoclinic  71.20-4  CharacterTableOfNormalSubgroup  71.20-5  CharacterTableRegular  71.3-3  CharacterTableWithSortedCharacters  71.21-1  CharacterTableWithSortedClasses  71.21-3  CharacterTableWithStoredGroup  71.6-4  CharacterTableWreathSymmetric  71.20-6  CharacterValueWreathSymmetric  71.20-7  CharInt  27.8-2  CharsFamily  27.4-6  CharSInt  27.8-4  CheckDigitISBN  14.6-1  CheckDigitISBN13  14.6-1  CheckDigitPostalMoneyOrder  14.6-1  CheckDigitTestFunction  14.6-2  CheckDigitUPC  14.6-1  CheckFixedPoints  73.5-10  CheckForHandlingByNiceBasis  61.12-3  CheckPermChar  73.7-2  ChevalleyBasis  64.6-2  ChiefNormalSeriesByPcgs  45.11-16  ChiefSeries  39.17-1  ChiefSeriesThrough  39.17-2  ChiefSeriesUnderAction  39.17-3  ChineseRem  14.3-9  Chomp  27.7-21  Cite  76.3-17  CIUnivPols  66.1-5  ClassElementLattice  39.20-2  ClassesSolvableGroup  45.17-1  ClassFunction, for a character table and a list  72.6-1  ClassFunctionSameType  72.6-4  ClassMultiplicationCoefficient, for character tables  71.12-7  ClassMultiplicationCoefficient, for character tables  71.12-7  ClassNames  71.9-6  ClassNamesTom  70.7-5  ClassOrbit  71.9-12  ClassParameters  71.9-7  ClassPermutation  71.21-5  ClassPositionsOfAgemo  71.10-2  ClassPositionsOfCenter, for a character table  71.10-3  ClassPositionsOfCentre, for a character  72.8-12  ClassPositionsOfDerivedSubgroup  71.10-5  ClassPositionsOfDirectProductDecompositions  71.10-4  ClassPositionsOfElementaryAbelianSeries  71.10-6  ClassPositionsOfFittingSubgroup  71.10-7  ClassPositionsOfKernel  72.8-10  ClassPositionsOfLowerCentralSeries  71.10-8  ClassPositionsOfMaximalNormalSubgroups  71.10-1  ClassPositionsOfMinimalNormalSubgroups  71.10-1  ClassPositionsOfNormalClosure  71.10-13  ClassPositionsOfNormalSubgroup  71.23-2  ClassPositionsOfNormalSubgroups  71.10-1  ClassPositionsOfPCore  71.10-12  ClassPositionsOfSolvableRadical  71.10-10  ClassPositionsOfSupersolvableResiduum  71.10-11  ClassPositionsOfUpperCentralSeries  71.10-9  ClassRoots  71.9-13  ClassStructureCharTable  71.12-8  ClassTypesTom  70.7-4  CleanedTailPcElement  45.5-11  ClearAllBlist  22.4-7  ClearCacheStats  7.8-21  ClearProfile  7.8-10  CloseMutableBasis  61.8-6  CloseStream  10.2-1  ClosureGroup  39.4-1  ClosureGroupAddElm  39.4-2  ClosureGroupCompare  39.4-2  ClosureGroupDefault  39.4-3  ClosureGroupIntest  39.4-2  ClosureLeftModule  57.2-3  ClosureNearAdditiveGroup, for a near-additive group and an element  55.4-1  ClosureRing, for a ring and a ring element  56.1-8  ClosureStruct  31.3  ClosureSubgroup  39.4-4  ClosureSubgroupNC  39.4-4  Coboundaries  64.12-7  Cochain  64.12-2  CochainSpace  64.12-3  Cocycles, for Lie algebra module  64.12-6  CodegreeOfPartialPerm  54.3-2  CodegreeOfPartialPermCollection  54.3-2  CodegreeOfPartialPermSemigroup  54.7-2  CodePcGroup  46.9-2  CodePcgs  46.9-1  Coefficients  61.6-3  CoefficientsAndMagmaElements  65.2-4  CoefficientsFamily  66.19-3  CoefficientsMultiadic  14.3-8  CoefficientsOfLaurentPolynomial  66.13-2  CoefficientsOfUnivariatePolynomial  66.4-9  CoefficientsOfUnivariateRationalFunction  66.4-7  CoefficientsQadic  14.3-7  CoefficientsRing  66.15-3  CoeffsCyc  18.1-10  CoeffsMod  23.4-4  CoKernelOfAdditiveGeneralMapping  32.10-6  CoKernelOfMultiplicativeGeneralMapping  32.9-6  CollapsedMat  73.5-16  Collected  21.20-3  CollectionsFamily  30.2-1  ColorPrompt  3.6-1  Columns  51.9-9  Combinations  16.2-1  CombinatorialCollector  46.4-2  Comm  31.12-3  Comm, for words  37.4  CommutativeDiagram  73.5-9  CommutatorFactorGroup  39.18-3  CommutatorLength  39.12-4  CommutatorSubgroup  39.12-2  Compacted  21.20-2  CompanionMat  24.13-6  CompareVersionNumbers  76.3-9  CompatibleConjugacyClasses  71.6-5  CompatiblePairs  46.8-8  ComplementClassesRepresentatives  39.11-6  ComplementClassesRepresentativesEA  39.23-4  ComplementIntMat  25.1-6  ComplementSystem  39.13-5  ComplexConjugate  18.5-2  ComplexificationQuat, for a matrix  62.5-2  ComponentPartialPermInt  54.5-3  ComponentRepsOfPartialPerm  54.3-20  ComponentRepsOfTransformation  53.5-19  ComponentsOfPartialPerm  54.3-18  ComponentsOfTransformation  53.5-17  ComponentTransformationInt  53.4-3  CompositionMapping  32.2-5  CompositionMapping, for Frobenius automorphisms  59.4-1  CompositionMapping2  32.2-6  CompositionMapping2General  32.2-6  CompositionMaps  73.5-1  CompositionOfStraightLinePrograms  37.8-7  CompositionSeries  39.17-5  CompositionSeries, for groups with pcgs  45.16  ComputedBrauerTables  71.3-2  ComputedClassFusions  73.3-2  ComputedIndicators  71.12-5  ComputedIsPSolubleCharacterTables  71.12-3  ComputedIsPSolvableCharacterTables  71.12-3  ComputedPowerMaps  73.1-1  ComputedPrimeBlockss  71.11-1  Concatenation, for a list of lists  21.20-1  ConcatenationOfVectors, for IsVectorObj  26.4-5  Conductor, for a collection of cyclotomics  18.1-7  ConfluentRws  38.1-6  Congruences, for character tables  73.6-2  ConjugacyClass  39.10-1  ConjugacyClasses, attribute  39.10-2  ConjugacyClasses, for groups with pcgs  45.16  ConjugacyClassesByOrbits  39.10-4  ConjugacyClassesByRandomSearch  39.10-3  ConjugacyClassesMaximalSubgroups  39.19-4  ConjugacyClassesPerfectSubgroups  39.20-11  ConjugacyClassesSubgroups  39.19-3  ConjugacyClassSubgroups  39.19-1  ConjugateDominantWeight  64.7-6  ConjugateDominantWeightWithWord  64.7-6  ConjugateGroup  39.2-6  Conjugates  58.3-6  ConjugateSubgroup  39.3-8  ConjugateSubgroups  39.3-9  ConjugatorAutomorphism  40.6-2  ConjugatorAutomorphismNC  40.6-2  ConjugatorIsomorphism  40.6-1  ConjugatorOfConjugatorIsomorphism  40.6-5  ConsiderKernels  73.6-3  ConsiderSmallerPowerMaps  73.6-4  ConsiderStructureConstants  73.3-7  ConsiderTableAutomorphisms  73.7-3  ConstantTimeAccessList  21.17-6  ConstantTransformation  53.2-9  ConstituentsCompositionMapping  32.2-8  ConstituentsOfCharacter  72.8-8  ConstructingFilter, for IsVectorObj  26.4-8  ContainedCharacters  73.5-17  ContainedConjugates  39.20-7  ContainedDecomposables  73.5-17  ContainedMaps  73.5-6  ContainedPossibleCharacters  73.5-15  ContainedPossibleVirtualCharacters  73.5-15  ContainedSpecialVectors  73.5-15  ContainedTom  70.9-5  ContainingConjugates  39.20-8  ContainingTom  70.9-6  continue statement  4.22  ContinuedFractionApproximationOfRoot  15.6-2  ContinuedFractionExpansionOfRoot  15.6-1  ConvertToBlistRep  22.5-1  ConvertToCharacterTable  71.3-5  ConvertToCharacterTableNC  71.3-5  ConvertToMatrixRep, for a list (and a field)  24.14-2  ConvertToMatrixRepNC, for a list (and a field)  24.14-2  ConvertToRangeRep  21.22-3  ConvertToStringRep  27.4-2  ConvertToTableOfMarks  70.6-5  ConvertToVectorRep, for a list (and a field)  23.3-1  ConvertToVectorRepNC, for a list (and a field)  23.3-1  ConwayPolynomial  59.5-1  CopyListEntries  21.4-4  CopyOptionsDefaults  43.11-2  CopyStabChain  43.11-1  CopyToStringRep  27.4-3  Core  39.11-2  CorrespondingGeneratorsByModuloPcgs  45.9-6  Cos  19.2-10  CosetDecomposition  39.7-6  CosetLeadersMatFFE  23.6-6  CosetTable  47.6-1  CosetTableBySubgroup  47.6-4  CosetTableDefaultLimit  47.6-7  CosetTableDefaultMaxLimit  47.6-6  CosetTableFromGensAndRels  47.6-5  CosetTableInWholeGroup  47.8-1  CosetTableOfFpSemigroup  52.6-1  CosetTableStandard  47.7-1  Cosh  19.2-10  Cot  19.2-10  Coth  19.2-10  CoverageLineByLine  7.8-15  CrcFile  9.7-7  CrcString  27.9-6  CrystGroupDefaultAction  44.7-1  Csc  19.2-10  Csch  19.2-10  CubeRoot  19.2-10  Cyc, for floats  19.2-3  Cycle  41.9-3  CycleFromList  42.5-5  CycleIndex, for a permutation and an action domain  41.9-7  CycleLength  41.9-4  CycleLengths  41.9-6  Cycles  41.9-5  CyclesOfTransformation  53.5-20  CycleStructureClass  72.8-14  CycleStructurePerm  42.4-2  CycleTransformationInt  53.5-21  CyclicExtensionsTom, for a list of primes  70.9-7  CyclicGroup  50.1-2  CyclotomicField, for (subfield and) conductor  60.1-1  CyclotomicPolynomial  66.9-1  Cyclotomics  18.1-2  CyclotomicsFamily  18.1-3  DataType  13.9-2  DayDMY  27.10-4  DaysInMonth  27.10-2  DaysInYear  27.10-1  DeclareAttribute  13.5-4  DeclareAttribute, example  80.5  DeclareAttribute!example  80.8-3  DeclareAutoPackage  77.2  DeclareAutoreadableVariables  76.3-10  DeclareCategory  13.3-5  DeclareCategoryCollections  30.2-5  DeclareConstructor  78.2-2  DeclareFilter  13.8-2  DeclareGlobalFunction  79.10-4  DeclareGlobalVariable  79.10-1  DeclareHandlingByNiceBasis  61.12-1  DeclareInfoClass  7.4-2  DeclareOperation  78.1-5  DeclarePackage  77.2  DeclarePackageAutoDocumentation  77.2  DeclarePackageDocumentation  77.2  DeclareProperty  13.7-5  DeclareRepresentation  13.4-5  DeclareRepresentation, belongs to implementation part  79.11  DeclareSynonym  79.10-5  DeclareSynonymAttr  79.10-5  DeclareUserPreference  3.2-4  DecodeTree  48.10-1  DecomposedFixedPointVector  70.9-8  DecomposeTensorProduct  64.13-3  Decomposition  25.4-1  DecompositionInt  25.4-5  DecompositionMatrix  71.11-4  Decreased  72.10-7  DEFAULTDISPLAYSTRING  27.7-2  DefaultField, for a list of generators  58.1-4  DefaultFieldByGenerators  58.1-5  DefaultFieldOfMatrix  24.4-2  DefaultFieldOfMatrixGroup  44.2-2  DefaultInfoHandler  7.4-7  DefaultRing, for a collection  56.1-3  DefaultRingByGenerators  56.1-5  DefaultStabChainOptions  43.8-3  DEFAULTVIEWSTRING  27.7-4  DefiningPolynomial  58.2-7  DefiningQuotientHomomorphism  47.13-4  DegreeFFE, for a FFE  59.2-1  DegreeIndeterminate  66.6-1  DegreeOfBinaryRelation  33.2-10  DegreeOfCharacter  72.8-4  DegreeOfLaurentPolynomial  66.5-3  DegreeOfPartialPerm  54.3-1  DegreeOfPartialPermCollection  54.3-1  DegreeOfPartialPermSemigroup  54.7-2  DegreeOfTransformation  53.5-1  DegreeOfTransformationCollection  53.5-1  DegreeOfTransformationSemigroup  53.7-2  DegreeOverPrimeField  58.2-6  Delta  75.2-2  DenominatorCyc  18.1-11  DenominatorOfModuloPcgs  45.9-4  DenominatorOfRationalFunction  66.4-3  DenominatorRat  17.2-5  DenseHashTable  28.6-1  DenseIntKey  28.5-1  DepthOfPcElement  45.5-4  DepthOfUpperTriangularMatrix  24.12-3  Derangements  16.2-14  Derivations  64.2-6  Derivative  66.6-5  DerivedLength  39.17-8  DerivedSeriesOfGroup  39.17-7  DerivedSubgroup  39.12-3  DerivedSubgroupsTom  70.9-2  DerivedSubgroupsTomPossible  70.9-3  DerivedSubgroupsTomUnique  70.9-3  DerivedSubgroupTom  70.9-2  DescriptionOfRootOfUnity  18.1-13  Determinant  24.4-4  DeterminantIntMat  25.3-1  DeterminantMat  24.4-4  DeterminantMatDestructive  24.4-5  DeterminantMatDivFree  24.4-6  DeterminantOfCharacter  72.8-18  DiagonalizeIntMat  25.2-8  DiagonalizeMat  24.9-3  DiagonalMat  24.5-4  DiagonalOfMat  24.12-1  DiagonalOfMatrix  24.12-1  Diameter  19.5-4  DictionaryByPosition  28.3-1  DicyclicGroup  50.1-8  Difference  30.5-4  DifferenceBlist  22.3-3  DihedralGenerators  50.1-7  DihedralGroup  50.1-6  Dimension  57.3-3  DimensionOfHighestWeightModule  64.13-4  DimensionOfMatrixGroup  44.2-1  DimensionOfVectors  61.9-6  DimensionsLoewyFactors  39.17-15  DimensionsMat  24.4-1  DirectoriesLibrary  9.3-5  DirectoriesPackageLibrary  76.3-7  DirectoriesPackagePrograms  76.3-8  DirectoriesSystemPrograms  9.3-6  Directory  9.3-2  DirectoryContents  9.3-7  DirectoryCurrent  9.3-4  DirectoryDesktop  9.3-8  DirectoryHome  9.3-9  DirectoryTemporary  9.3-3  DirectProduct  49.1-1  DirectProductFamily  32.1-2  DirectProductOp  49.1-1  DirectSum  56.9-5  DirectSumDecomposition, for Lie algebras  62.9-18  DirectSumOfAlgebraModules, for a list of Lie algebra modules  62.11-23  DirectSumOfAlgebras, for a list of algebras  62.9-14  DirectSumOp  56.9-5  DisableAttributeValueStoring  13.6-5  Discriminant  66.6-6  Display  6.3-6  DisplayCacheStats  7.8-20  DisplayCompositionSeries  39.17-6  DisplayEggBoxOfDClass  51.8-7  DisplayImfInvariants  50.7-2  DisplayInformationPerfectGroups, for a pair [ order, index ]  50.6-7  DisplayOptions  71.13-4  DisplayOptionsStack  8.1-6  DisplayPackageLoadingLog  76.2-5  DisplayProfile  7.8-9  DisplaySemigroup  51.8-13  DisplayString  27.7-1  DistanceOfVectors, for IsVectorObj,IsVectorObj  26.4-11  DistancePerms  42.2-2  DistancesDistributionMatFFEVecFFE  23.6-4  DistancesDistributionVecFFEsVecFFE  23.6-3  DistanceVecFFE  23.6-2  DivisionRingByGenerators  58.1-8  DivisorsInt  14.4-12  DixonInit  71.17-2  DixonRecord  71.17-1  DixonSplit  71.17-4  DixontinI  71.17-3  DMYDay  27.10-3  DMYhmsSeconds  27.10-11  DnLattice  72.10-8  DnLatticeIterative  72.10-9  do  4.20  Domain  31.9-3  DomainByGenerators  31.9-3  DomainOfPartialPerm  54.3-4  DomainOfPartialPermCollection  54.3-4  DominantCharacter, for a root system and a highest weight  64.13-2  DominantWeights  64.13-1  DotFileLatticeSubgroups  39.20-3  DoubleCoset  39.9-1  DoubleCosetRepsAndSizes  39.9-5  DoubleCosets  39.9-3  DoubleCosetsNC  39.9-3  DoubleCoverOfAlternatingGroup  39.24-11  DoubleHashArraySize  28.7-2  DownEnv  6.5-1  DuplicateFreeList  21.20-4  DxIncludeIrreducibles  71.17-6  E  18.1-1  EANormalSeriesByPcgs  45.11-4  Earns, for a group, an action domain, etc.  41.10-6  EB  18.4-1  EC  18.4-1  ED  18.4-1  Edit  6.10-1  EE  18.4-1  EF  18.4-1  EG  18.4-1  EggBoxOfDClass  51.8-6  EH  18.4-1  EI  18.4-2  Eigenspaces  24.8-4  Eigenvalues  24.8-3  EigenvaluesChar  72.8-19  Eigenvectors  24.8-5  EJ  18.4-4  EK  18.4-4  EL  18.4-4  ElementaryAbelianGroup  50.1-4  ElementaryAbelianSeries, for a group  39.17-9  ElementaryAbelianSeriesLargeSteps  39.17-9  ElementaryDivisorsMat  24.9-1  ElementaryDivisorsMatDestructive  24.9-1  ElementaryDivisorsTransformationsMat  24.9-2  ElementaryDivisorsTransformationsMatDestructive  24.9-2  ElementOfFpGroup  47.4-5  ElementOfFpMonoid  52.4-2  ElementOfFpSemigroup  52.4-2  ElementOfMagmaRing  65.2-6  ElementOrdersPowerMap  73.1-3  ElementProperty  43.12-2  Elements  30.3-11  ElementsFamily  30.2-3  ElementsStabChain  43.10-9  elif  4.17  EliminatedWord  37.4-6  EliminationOrdering  66.17-10  ElmWPObj  86.2-1  else  4.17  EM  18.4-4  emacs  6.11  Embedding, example for direct products  49.1-1  Embedding, for a domain and a positive integer  32.2-11  Embedding, for Lie algebras  64.1-3  Embedding, for two domains  32.2-11  EmptyBinaryRelation, for a degree  33.1-4  EmptyMatrix  24.5-3  EmptyPartialPerm  54.2-6  EmptyPlist  21.9-1  EmptySCTable  62.4-3  EmptyStabChain  43.11-7  EmptyString  27.4-5  EnableAttributeValueStoring  13.6-6  end  4.23  End  61.10-6  EndlineFunc  5.1-5  EndsWith  27.7-22  Enumerator  30.3-2  EnumeratorByBasis  61.6-5  EnumeratorByFunctions, for a domain and a record  30.3-4  EnumeratorOfCombinations  16.2-2  EnumeratorOfTuples  16.2-9  EnumeratorSorted  30.3-3  Epicentre  39.24-4  EpimorphismFromFreeGroup  39.5-1  EpimorphismNilpotentQuotient  47.14-4  EpimorphismNonabelianExteriorSquare  39.24-6  EpimorphismPGroup  47.14-3  EpimorphismQuotientSystem  47.14-2  EpimorphismSchurCover  39.24-1  EpimorphismSolvableQuotient  47.14-6  EqFloat  19.2-6  EquivalenceClasses, attribute  33.7-3  EquivalenceClassOfElement  33.7-4  EquivalenceClassOfElementNC  33.7-4  EquivalenceClassRelation  33.7-2  EquivalenceRelationByPairs  33.5-3  EquivalenceRelationByPairsNC  33.5-3  EquivalenceRelationByPartition  33.5-1  EquivalenceRelationByPartitionNC  33.5-1  EquivalenceRelationByProperty  33.5-4  EquivalenceRelationByRelation  33.5-2  EquivalenceRelationPartition  33.6-1  ER  18.4-2  Erf  19.2-10  Error  6.6-1  ErrorCount  6.6-3  ErrorNoReturn  6.6-2  ErrorNoTraceBack  6.4-3  ES  18.4-3  ET  18.4-3  EU  18.4-3  EuclideanDegree  56.6-2  EuclideanQuotient  56.6-3  EuclideanRemainder  56.6-4  EulerianFunction  39.16-3  EulerianFunctionByTom  70.9-9  EV  18.4-3  EvalStraightLineProgElm  37.9-4  EvalString  27.9-5  EW  18.4-3  EX  18.4-3  ExactSizeConsiderFunction  39.21-5  Exec  11.1-2  Exp  19.2-10  Exp10  19.2-10  Exp2  19.2-10  Expm1  19.2-10  Exponent  39.16-2  ExponentOfPcElement  45.5-2  ExponentsConjugateLayer  45.6-1  ExponentsOfCommutator  45.6-4  ExponentsOfConjugate  45.6-3  ExponentsOfPcElement  45.5-3  ExponentsOfRelativePower  45.6-2  ExponentSumWord  37.4-2  ExponentSyllable  37.5-2  ExtendedPcgs  45.7-8  ExtendRootDirectories  76.2-4  ExtendStabChain  43.11-4  Extension  46.8-5  ExtensionNC  46.8-5  ExtensionRepresentatives  46.8-9  Extensions  46.8-4  ExteriorCentre  39.24-4  ExteriorPowerOfAlgebraModule  64.15-2  ExternalOrbit  41.12-9  ExternalOrbits, for a group, an action domain, etc.  41.12-11  ExternalOrbitsStabilizers, for a group, an action domain, etc.  41.12-12  ExternalSet  41.12-2  ExternalSet, computing orbits  85.3  ExternalSubset  41.12-7  Extract  72.10-5  ExtractSubVector, for IsVectorObj,IsList  26.4-6  ExtraspecialGroup  50.1-10  ExtRepDenominatorRatFun  66.21-3  ExtRepNumeratorRatFun  66.21-2  ExtRepOfObj  79.8-1  ExtRepPolynomialRatFun  66.21-6  EY  18.4-3  FactorCosetAction  41.8-1  FactorFreeMonoidByRelations  52.2-2  FactorFreeSemigroupByRelations  52.2-2  FactorGroup  39.18-2  FactorGroupFpGroupByRels  47.2-2  FactorGroupNC  39.18-2  FactorGroupNormalSubgroupClasses  71.23-4  FactorGroupTom  70.9-11  Factorial  16.1-1  Factorization  39.5-2  Factors  56.5-9  FactorsInt  14.4-7  FactorsOfDirectProduct  71.20-2  FactorsSquarefree  66.10-2  fail  20.2-1  FaithfulModule, for Lie algebras  62.11-20  FamiliesOfGeneralMappingsAndRanges  32.14-5  FamiliesOfRows  71.22-5  FamilyForOrdering  34.3-4  FamilyObj  13.1-1  FamilyPcgs  46.1-1  FamilyRange  32.14-3  FamilySource  32.14-4  fi  4.17  Fibonacci  16.3-1  Field, for (a field and) a list of generators  58.1-3  FieldByGenerators  58.1-8  FieldExtension  58.2-9  FieldOfMatrixGroup  44.2-3  FieldOverItselfByGenerators  58.2-2  FileDescriptorOfStream  10.2-2  Filename, for a directory and a string  9.4-1  FilenameFunc  5.1-4  FilterByName  13.2-3  Filtered  21.20-20  FiltersObj  13.2-5  FiltersType  13.2-5  FindSl2  64.9-7  First  21.20-22  FittingSubgroup  39.12-5  FixedPointsOfPartialPerm, for a partial perm  54.3-8  Flat  21.20-6  FlatKernelOfTransformation  53.5-11  FlipBlist  22.4-5  Float  19.2-1  FLOAT, constants  19.2-5  Floor  19.2-10  FlushCaches  79.10-3  for loop  4.20  ForAll  21.20-23  ForAny  21.20-24  FORCE_QUIT_GAP  6.7-4  FpElmComparisonMethod  47.3-3  FpGroupCocycle  39.25-2  FpGroupPresentation  48.1-4  FpGrpMonSmgOfFpGrpMonSmgElement  52.1-4  FpLieAlgebraByCartanMatrix  64.11-1  Frac  19.2-10  FrattiniSubgroup  39.12-6  FrattiniSubgroup, for groups with pcgs  45.16  FreeAbelianGroup  50.1-5  FreeAlgebra, for ring and several names  62.3-1  FreeAlgebraWithOne, for ring and several names  62.3-2  FreeAssociativeAlgebra, for ring and several names  62.3-3  FreeAssociativeAlgebraWithOne, for ring and several names  62.3-4  FreeGeneratorsOfFpGroup  47.4-2  FreeGeneratorsOfFpMonoid  52.4-4  FreeGeneratorsOfFpSemigroup  52.4-4  FreeGeneratorsOfWholeGroup  47.4-2  FreeGroup, for a list of names  37.2-1  FreeGroupOfFpGroup  47.4-1  FreeLeftModule  57.3-2  FreeLieAlgebra, for ring and several names  64.2-4  FreeMagma, for a list of names  36.4-1  FreeMagmaRing  65.1-1  FreeMagmaWithOne, for a list of names  36.4-2  FreeMonoid, for a list of names  51.2-9  FreeMonoidOfFpMonoid  52.4-3  FreeMonoidOfRewritingSystem  52.5-5  FreeProduct, for a list  49.5-1  FreeSemigroup, for a list of names  51.1-10  FreeSemigroupOfFpSemigroup  52.4-3  FreeSemigroupOfRewritingSystem  52.5-5  FrExp  19.2-10  FrobeniusAutomorphism  59.4-1  FrobeniusCharacterValue  72.15-1  FullMatrixAlgebra  62.5-4  FullMatrixAlgebraCentralizer  62.9-15  FullMatrixLieAlgebra  64.2-5  FullMatrixModule  57.3-11  FullMatrixSpace  61.9-5  FullRowModule  57.3-9  FullRowSpace  61.9-4  FullTransformationMonoid  53.7-3  FullTransformationSemigroup  53.7-3  FunctionAction  41.12-4  FunctionField, for an integral ring and a list of indeterminate numbers  66.15-8  FunctionOperation  77.1  FunctionsFamily  5.5-2  FusionCharTableTom  70.11-1  FusionConjugacyClasses, for a homomorphism  73.3-1  FusionConjugacyClassesOp, for a homomorphism  73.3-1  FusionsAllowedByRestrictions  73.7-4  FusionsTom  70.7-6  gac  76.3-11  GaloisCyc, for a class function  72.4-2  GaloisField, for characteristic and degree  59.3-2  GaloisGroup, for abelian number fields  60.4-1  GaloisMat  18.5-5  GaloisStabilizer  60.2-5  GaloisType  66.11-3  Gamma  19.2-10  GammaL  50.2-9  gap.ini  3.2-1  GAP_EXIT_CODE  6.7-2  GAPDocManualLab  76.22  GAPInfo  3.5-1  GAPInfo.Architecture  76.3-8  GAPInfo.CommandLineOptions  3.1  GAPInfo.Keywords  4.5  GAPInfo.ProfileThreshold  7.8-9  GAPInfo.RootPaths  9.2  GAPInfo.UserGapRoot  9.2  GAPInfo.Version  7.9  GapInputPcGroup  46.6-1  GapInputSCTable  62.4-5  GAPKB_REW  52.5-2  GAPTCENUM  47.6-5  GASMAN  7.12  GasmanLimits  7.12-3  GasmanMessageStatus  7.12-2  GasmanStatistics  7.12-1  GaussianIntegers  60.5-1  GaussianRationals  60.1-3  Gcd, for (a ring and) a list of elements  56.7-1  Gcdex  14.3-5  GcdInt  14.3-4  GcdOp  56.7-2  GcdRepresentation, for (a ring and) a list of elements  56.7-3  GcdRepresentationOp  56.7-4  GeneralisedEigenspaces  24.8-2  GeneralisedEigenvalues  24.8-1  GeneralisedQuaternionGenerators  50.1-9  GeneralizedEigenspaces  24.8-2  GeneralizedEigenvalues  24.8-1  GeneralLinearGroup, for dimension and a ring  50.2-1  GeneralMappingByElements  32.2-1  GeneralMappingsFamily  32.14-6  GeneralOrthogonalGroup  50.2-6  GeneralSemilinearGroup  50.2-9  GeneralUnitaryGroup  50.2-3  GeneratorsOfAdditiveGroup  55.3-4  GeneratorsOfAdditiveMagma  55.3-2  GeneratorsOfAdditiveMagmaWithZero  55.3-3  GeneratorsOfAlgebra  62.9-1  GeneratorsOfAlgebraModule  62.11-7  GeneratorsOfAlgebraWithOne  62.9-2  GeneratorsOfDivisionRing  58.1-6  GeneratorsOfDomain  31.9-2  GeneratorsOfEquivalenceRelationPartition  33.6-2  GeneratorsOfField  58.1-7  GeneratorsOfGroup  39.2-4  GeneratorsOfIdeal  56.2-7  GeneratorsOfInverseMonoid  51.3-4  GeneratorsOfInverseSemigroup  51.3-3  GeneratorsOfLeftIdeal  56.2-8  GeneratorsOfLeftModule  57.1-4  GeneratorsOfLeftOperatorAdditiveGroup  57.1-3  GeneratorsOfLeftVectorSpace  61.3-1  GeneratorsOfMagma  35.4-1  GeneratorsOfMagmaWithInverses  35.4-3  GeneratorsOfMagmaWithOne  35.4-2  GeneratorsOfMonoid  51.2-7  GeneratorsOfNearAdditiveGroup  55.3-4  GeneratorsOfNearAdditiveMagma  55.3-2  GeneratorsOfNearAdditiveMagmaWithZero  55.3-3  GeneratorsOfPresentation  48.1-3  GeneratorsOfRightIdeal  56.2-9  GeneratorsOfRightModule  57.1-9  GeneratorsOfRightOperatorAdditiveGroup  57.1-8  GeneratorsOfRing  56.1-6  GeneratorsOfRingWithOne  56.3-4  GeneratorsOfRws  38.1-12  GeneratorsOfSemigroup  51.1-8  GeneratorsOfStruct  31.3  GeneratorsOfTwoSidedIdeal  56.2-7  GeneratorsOfVectorSpace  61.3-1  GeneratorsPrimeResidues  15.2-4  GeneratorsSmallest  39.22-1  GeneratorsSubgroupsTom  70.10-1  GeneratorSyllable  37.5-3  GetCyclotomicsLimit  18.6-1  GetFusionMap  73.3-3  GetRecursionDepth  7.11-1  GetWithDefault  21.5-2  GF, for characteristic and degree  59.3-2  GL, for dimension and a ring  50.2-1  GlobalMersenneTwister  14.7-4  GlobalRandomSource  14.7-4  GModuleByMats, for empty list, the dimension, and a field  69.1-1  GO  50.2-6  GQuotients  40.9-4  Grading  62.9-20  GreensDClasses  51.8-9  GreensDClassOfElement  51.8-8  GreensDRelation  51.8-1  GreensHClasses  51.8-9  GreensHClassOfElement  51.8-8  GreensHRelation  51.8-1  GreensJClasses  51.8-9  GreensJClassOfElement  51.8-8  GreensJRelation  51.8-1  GreensLClasses  51.8-9  GreensLClassOfElement  51.8-8  GreensLRelation  51.8-1  GreensRClasses  51.8-9  GreensRClassOfElement  51.8-8  GreensRRelation  51.8-1  GroebnerBasis, for a list and a monomial ordering  66.18-1  GroebnerBasisNC  66.18-1  Group, for a list of generators (and an identity element)  39.2-1  GroupByGenerators  39.2-2  GroupByRws  46.4-6  GroupByRwsNC  46.4-6  GroupGeneralMappingByImages  40.1-3  GroupGeneralMappingByImagesNC  40.1-3  GroupHClassOfGreensDClass  51.8-10  GroupHomomorphismByFunction, by function (and inverse function) between two domains  40.1-4  GroupHomomorphismByImages  40.1-1  GroupHomomorphismByImagesNC  40.1-2  GroupOfPcgs  45.4-5  GroupRing  65.1-2  GroupStabChain  43.10-5  GroupWithGenerators  39.2-3  GrowthFunctionOfGroup  39.5-3  GU  50.2-3  HallSubgroup  39.13-3  HallSystem  39.13-6  HallSystem, for groups with pcgs  45.16  HasAbelianFactorGroup  39.18-5  HasElementaryAbelianFactorGroup  39.18-6  HasIndeterminateName  66.1-4  HasParent  31.7-1  HasseDiagramBinaryRelation  33.4-4  HeadPcElementByNumber  45.5-12  HELP_ADD_BOOK  84.1-1  HELP_REMOVE_BOOK  84.1-2  HELP_VIEWER_INFO  84.4-1  HenselBound  66.12-3  HermiteNormalFormIntegerMat  25.2-4  HermiteNormalFormIntegerMatTransform  25.2-5  HeuristicCancelPolynomialsExtRep  66.24-3  HexStringInt  27.7-8  HighestWeightModule  64.14-5  HMSMSec  27.10-7  Hom  61.10-5  HomeEnumerator  41.12-5  HomomorphismQuotientSemigroup  51.7-2  Hypothenuse  19.2-10  Ideal  56.2-1  IdealByGenerators  56.2-4  IdealDecompositionsOfPolynomial  67.3-1  IdealNC  56.2-2  Ideals  56.9-4  Idempotent  53.2-4  Idempotents  35.4-6  IdempotentsTom  70.7-8  IdempotentsTomInfo  70.7-8  IdentificationOfConjugacyClasses  71.6-3  Identifier, for character tables  71.9-8  Identity  31.10-2  IdentityBinaryRelation, for a degree  33.1-3  IdentityFromSCTable  62.4-7  IdentityMapping  32.2-10  IdentityMat  24.5-1  IdentityTransformation  53.2-8  IdFunc  5.4-6  if statement  4.17  Image, for Frobenius automorphisms  59.4-1  Image, set of images of a collection under a mapping  32.4-6  ImageElm  32.4-5  ImageListOfPartialPerm  54.3-6  ImageListOfTransformation  53.5-2  ImageOfPartialPermCollection  54.3-5  Images, set of images of a collection under a mapping  32.4-7  ImagesElm  32.4-3  ImageSetOfPartialPerm  54.3-7  ImageSetOfTransformation  53.5-3  ImagesRepresentative  32.4-2  ImagesSet  32.4-4  ImagesSmallestGenerators  40.3-5  ImagesSource  32.4-1  ImaginaryPart  18.5-2  ImfInvariants  50.7-3  ImfMatrixGroup  50.7-4  ImfNumberQClasses  50.7-1  ImfNumberQQClasses  50.7-1  ImfNumberZClasses  50.7-1  Immutable  12.6-3  ImmutableBasis  61.8-4  ImmutableMatrix  24.14-1  ImmutableVector  23.3-2  in, for lists  21.8-1  \in, operation for testing membership  30.6  IncreaseInterval  19.5-8  IndependentGeneratorExponents  39.22-6  IndependentGeneratorsOfAbelianGroup  39.22-5  Indeterminate, for a family and a number  66.1-1  IndeterminateName  66.1-4  Indeterminateness  73.5-13  IndeterminateNumberOfLaurentPolynomial  66.13-3  IndeterminateNumberOfUnivariateRationalFunction  66.1-2  IndeterminateOfUnivariateRationalFunction  66.1-3  IndeterminatesOfFunctionField  66.15-2  IndeterminatesOfPolynomialRing  66.15-2  Index, for a group and its subgroup  39.3-2  IndexInWholeGroup  39.3-3  IndexNC, for a group and its subgroup  39.3-2  IndexPeriodOfPartialPerm  54.3-16  IndexPeriodOfTransformation  53.5-15  Indicator  71.12-5  IndicatorOp  71.12-5  IndicesCentralNormalSteps  45.11-7  IndicesChiefNormalSteps  45.11-15  IndicesEANormalSteps  45.11-3  IndicesEANormalStepsBounded  45.11-3  IndicesInvolutaryGenerators  47.6-9  IndicesNormalSteps  45.11-17  IndicesOfAdjointBasis  62.9-6  IndicesPCentralNormalStepsPGroup  45.11-11  IndicesStabChain  43.10-7  Indirected  73.5-4  InducedAutomorphism  40.7-6  InducedClassFunction, for a given monomorphism  72.9-3  InducedClassFunctions  72.9-4  InducedClassFunctionsByFusionMap  72.9-5  InducedCyclic  72.9-6  InducedPcgs  45.7-4  InducedPcgsByGenerators  45.7-5  InducedPcgsByGeneratorsNC  45.7-5  InducedPcgsByPcSequence  45.7-2  InducedPcgsByPcSequenceAndGenerators  45.7-6  InducedPcgsByPcSequenceNC  45.7-2  InducedPcgsWrtFamilyPcgs  46.1-3  InducedPcgsWrtSpecialPcgs  45.13-8  Inequalities  72.14-5  InertiaSubgroup  72.8-13  Inf  19.5-2  infinity  18.2-1  Info  7.4-6  InfoAlgebra  62.1-1  InfoAttributes  13.6-4  InfoBckt  43.12-4  InfoCharacterTable  71.4-2  InfoClass, for a GAP package  76.15  InfoCoh  39.23-5  InfoComplement  39.11-7  InfoCoset  39.9-6  InfoFpGroup  47.1-3  InfoGroebner  66.18-4  InfoGroup  39.2-8  InfoLattice  39.20-13  InfoLevel  7.4-4  InfoMatrix  24.1-1  InfoMonomial  75.1-1  InfoNumtheor  15.1-1  InfoObsolete  77.4-1  InfoOptions  8.1-7  InfoOutput  7.4-7  InfoPackageLoading  76.2-5  InfoPcSubgroup  39.21-6  InfoPoly  66.5-8  InfoText  12.8-3  InfoText, (for Conway polynomials)  59.5-1  InfoText, for character tables  71.9-9  InfoTom  70.6-1  InfoWarning  7.4-8  Init  14.7-3  init.g, for a GAP package  76.5  InitFusion  73.7-1  InitPowerMap  73.6-1  InjectionZeroMagma  35.2-13  InnerAutomorphism  40.6-3  InnerAutomorphismNC  40.6-3  InnerAutomorphismsAutomorphismGroup  40.7-5  InParentFOA  85.2-1  InputFromUser  10.6-3  InputLogTo, for a filename  9.7-5  InputOutputLocalProcess  10.8-2  InputTextFile  10.5-1  InputTextNone  10.9-1  InputTextString  10.7-1  InputTextUser  10.6-1  InsertTrivialStabilizer  43.11-8  InstallAtExit  6.7-5  InstallCharReadHookFunc  10.10-1  InstalledPackageVersion  76.3-6  InstallFactorMaintenance  31.13-5  InstallFlushableValue  79.10-2  InstallFlushableValueFromFunction  79.10-2  InstallGlobalFunction  79.10-4  InstallHandlingByNiceBasis  61.12-1  InstallImmediateMethod  78.7-1  InstallIsomorphismMaintenance  31.13-6  InstallMethod  78.3-1  InstallMethodWithRandomSource  78.3-3  InstallOtherMethod  78.3-2  InstallOtherMethodWithRandomSource  78.3-3  InstallReadlineMacro  6.9-4  InstallSubsetMaintenance  31.13-4  InstallTrueMethod  78.8-1  InstallValue  79.10-2  Int  14.2-3  IntChar  27.8-1  Integers, global variable  14.1-1  IntegralizedMat  25.4-4  IntegratedStraightLineProgram  37.8-8  IntermediateGroup  39.17-17  IntermediateResultOfSLP  37.8-10  IntermediateResultOfSLPWithoutOverwrite  37.8-11  IntermediateResultsOfSLPWithoutOverwrite  37.8-12  IntermediateSubgroups  39.17-18  InterpolatedPolynomial  56.7-10  IntersectBlist  22.4-3  Intersection, for a list  30.5-2  Intersection, for groups with pcgs  45.16  Intersection, for various collections  30.5-2  Intersection2  30.5-2  IntersectionBlist, for a list  22.3-2  IntersectionsTom  70.9-10  IntersectSet  21.19-7  IntFFE  59.2-3  IntFFESymm, for a FFE  59.2-4  IntHexString  27.9-3  IntScalarProducts  73.5-15  IntVecFFE  59.2-5  InvariantBilinearForm  44.5-1  InvariantElementaryAbelianSeries  39.17-10  InvariantLattice  44.6-6  InvariantQuadraticForm  44.5-5  InvariantSesquilinearForm  44.5-3  InvariantSubgroupsElementaryAbelianGroup  39.21-2  Inverse  31.10-8  InverseAttr  31.10-8  InverseClasses  71.9-10  InverseGeneralMapping  32.2-3  InverseImmutable  31.10-8  InverseMap  73.5-2  InverseMatMod  24.15-1  InverseMonoid  51.3-2  InverseMutable  31.10-8  InverseOfTransformation  53.5-13  InverseOp  31.10-8  InverseRepresentative  43.10-11  InverseSameMutability  31.10-8  InverseSemigroup  51.3-1  InverseSM  31.10-8  InversesOfSemigroupElement  51.4-3  InvocationReadlineMacro  6.9-4  Irr, for a character table  71.8-2  IrrBaumClausen  71.14-3  IrrConlon  71.14-2  IrrDixonSchneider  71.14-1  IrreducibleDifferences  72.10-3  IrreducibleModules  71.15-1  IrreducibleModules, for groups with pcgs  45.16  IrreducibleRepresentations  71.14-4  IrreducibleRepresentationsDixon  71.14-5  Is16BitsFamily  37.6-7  Is32BitsFamily  37.6-7  IsAbelian  35.4-9  IsAbelianNumberField  60.2-3  IsAbelianNumberFieldPolynomialRing  66.15-6  IsAbelianTom  70.8-1  IsAdditiveElement  31.14-3  IsAdditiveElementWithInverse  31.14-7  IsAdditiveElementWithZero  31.14-5  IsAdditiveGroup  55.1-6  IsAdditiveGroupGeneralMapping  32.10-4  IsAdditiveGroupHomomorphism  32.10-4  IsAdditivelyCommutative  55.3-1  IsAdditivelyCommutativeElement  31.15-2  IsAdditivelyCommutativeElementCollColl  31.15-2  IsAdditivelyCommutativeElementCollection  31.15-2  IsAdditivelyCommutativeElementFamily  31.15-2  IsAdditiveMagma  55.1-4  IsAdditiveMagmaWithInverses  55.1-6  IsAdditiveMagmaWithZero  55.1-5  IsAlgebra  62.8-3  IsAlgebraGeneralMapping  32.12-3  IsAlgebraHomomorphism  32.12-3  IsAlgebraicElement  67.2-1  IsAlgebraicExtension  67.1-2  IsAlgebraModuleElement  62.11-8  IsAlgebraModuleElementCollection  62.11-8  IsAlgebraModuleElementFamily  62.11-8  IsAlgebraWithOne  62.8-4  IsAlgebraWithOneGeneralMapping  32.12-4  IsAlgebraWithOneHomomorphism  32.12-4  IsAlmostSimple, for a character table  71.8-5  IsAlmostSimpleGroup  39.15-11  IsAlphaChar  27.5-4  IsAlternatingGroup  43.4-3  IsAnticommutative  56.4-6  IsAntisymmetricBinaryRelation  33.2-4  IsAssociated  56.5-3  IsAssociative  35.4-7  IsAssociativeElement  31.15-1  IsAssociativeElementCollColl  31.15-1  IsAssociativeElementCollection  31.15-1  IsAssocWord  37.1-1  IsAssocWordWithInverse  37.1-1  IsAssocWordWithOne  37.1-1  IsAttribute  13.5-1  IsAttributeStoringRep  13.5-5  IsAutomorphismGroup  40.7-4  IsBasicWreathLessThanOrEqual  37.3-4  IsBasicWreathProductOrdering  34.4-12  IsBasis  61.5-1  IsBasisByNiceBasis  61.11-5  IsBasisOfAlgebraModuleElementSpace  62.11-14  IsBergerCondition, for a character  75.2-3  IsBiCoset  39.7-5  IsBijective  32.3-6  IsBinaryRelation  33.1-1  IsBinaryRelation, same as IsEndoGeneralMapping  33.  IsBLetterAssocWordRep  37.6-3  IsBLetterWordsFamily  37.6-4  IsBlist  22.1-1  IsBlistRep  22.5-1  IsBool  20.1-1  IsBound, for a global variable  4.8-1  IsBound\.  29.7-3  IsBound\[\]  21.2-1  IsBoundElmWPObj  86.2-1  IsBoundGlobal  4.9-6  IsBrauerTable  71.4-1  IsBravaisGroup  44.6-10  IsBuiltFromAdditiveMagmaWithInverses  38.3-1  IsBuiltFromGroup  38.3-1  IsBuiltFromMagma  38.3-1  IsBuiltFromMagmaWithInverses  38.3-1  IsBuiltFromMagmaWithOne  38.3-1  IsBuiltFromSemigroup  38.3-1  IsCanonicalBasis  61.7-1  IsCanonicalBasisFullMatrixModule  61.9-10  IsCanonicalBasisFullRowModule  61.9-9  IsCanonicalNiceMonomorphism  40.5-4  IsCanonicalPcgs  45.8-1  IsCategory  13.3-1  IsCentral  35.4-8  IsCentralFactor  39.24-7  IsChar  27.1-1  IsCharacter  72.8-1  IsCharacteristicSubgroup  39.3-7  IsCharacterTable  71.4-1  IsCharacterTableInProgress  71.4-1  IsCharCollection  27.1-1  IsCheapConwayPolynomial  59.5-2  IsClassFunction  72.1-1  IsClassFusionOfNormalSubgroup  71.12-4  IsClosedStream  10.1-2  IsCochain  64.12-1  IsCochainCollection  64.12-1  IsCollection  30.1-1  IsCollectionFamily  30.2-2  IsCommutative  35.4-9  IsCommutativeElement  31.15-3  IsCommutativeElementCollColl  31.15-3  IsCommutativeElementCollection  31.15-3  IsComponentObjectRep  13.4-1  IsCompositionMappingRep  32.2-7  IsConfluent, for a rewriting system  38.1-5  IsConjugacyClassSubgroupsByStabilizerRep  39.19-2  IsConjugacyClassSubgroupsRep  39.19-2  IsConjugate, for a group and two elements  39.10-9  IsConjugatorAutomorphism  40.6-4  IsConjugatorIsomorphism  40.6-4  IsConstantRationalFunction  66.4-11  IsConstantTimeAccessGeneralMapping  32.13-2  IsConstantTimeAccessList  21.1-6  IsContainedInSpan  61.8-5  IsCopyable  12.6-1  IsCyc  18.1-3  IsCyclic  39.15-1  IsCyclicTom  70.8-1  IsCyclotomic  18.1-3  IsCyclotomicField  60.2-4  IsCyclotomicMatrixGroup  44.6-1  IsDataObjectRep  13.4-1  IsDenseList  21.1-2  IsDiagonalMat  24.4-9  IsDiagonalMatrix  24.4-9  IsDictionary  28.3-2  IsDigitChar  27.5-1  IsDihedralGroup  50.1-7  IsDirectory  9.3-1  IsDirectoryPath  9.6-5  IsDirectProductElement  32.1-1  IsDisjoint  19.5-6  IsDistributive  56.4-5  IsDivisionRing  58.1-1  IsDomain  31.9-1  IsDoneIterator  30.8-4  IsDoubleCoset, operation  39.9-4  IsDuplicateFree  21.17-2  IsDuplicateFreeList  21.17-2  IsDxLargeGroup  71.17-8  IsElementaryAbelian  39.15-2  IsElementOfFpMonoid  52.1-3  IsElementOfFpSemigroup  52.1-3  IsElementOfFreeMagmaRing  65.2-2  IsElementOfFreeMagmaRingCollection  65.2-2  IsElementOfFreeMagmaRingFamily  65.2-3  IsElementOfMagmaRingModuloRelations  65.4-1  IsElementOfMagmaRingModuloRelationsCollection  65.4-1  IsElementOfMagmaRingModuloRelationsFamily  65.4-2  IsElementOfMagmaRingModuloSpanOfZeroFamily  65.5-1  IsEmpty  30.4-1  IsEmptyMatrix, for matrices  24.4-7  IsEmptyString  27.4-4  IsEndOfStream  10.3-6  IsEndoGeneralMapping  32.13-3  IsEndoGeneralMapping, same as IsBinaryRelation  33.  IsEqualSet  21.19-2  IsEquivalenceClass  33.7-1  IsEquivalenceRelation  33.2-8  IsEuclideanRing  56.6-1  IsEvenInt  14.2-4  IsExecutableFile  9.6-4  IsExistingFile  9.6-1  IsExtAElement  31.14-1  IsExternalOrbit  41.12-8  IsExternalSet  41.12-1  IsExternalSubset  41.12-6  IsExtLElement  31.14-8  IsExtRElement  31.14-9  IsFamilyPcgs  46.1-2  IsFFE  59.1-1  IsFFECollColl  59.1-1  IsFFECollCollColl  59.1-1  IsFFECollection  59.1-1  IsFFEMatrixGroup  44.2-5  IsField  58.1-2  IsFieldControlledByGaloisGroup  58.3  IsFieldHomomorphism  32.12-5  IsFinite  30.4-2  IsFiniteDimensional  57.3-4  IsFiniteFieldPolynomialRing  66.15-5  IsFinitelyGeneratedGroup  39.15-17  IsFiniteOrderElement  31.15-4  IsFiniteOrderElementCollColl  31.15-4  IsFiniteOrderElementCollection  31.15-4  IsFiniteOrdersPcgs  45.4-2  IsFixedStabilizer  43.11-9  IsFLMLOR  62.8-1  IsFLMLORWithOne  62.8-2  IsFpGroup  47.1-2  IsFpMonoid  52.1-2  IsFpSemigroup  52.1-2  IsFreeGroup  37.2-2  IsFreeLeftModule  57.3-1  IsFreeMagmaRing  65.1-3  IsFreeMagmaRingWithOne  65.1-4  IsFromFpGroupGeneralMappingByImages  40.10-10  IsFromFpGroupHomomorphismByImages  40.10-10  IsFromFpGroupStdGensGeneralMappingByImages  40.10-11  IsFromFpGroupStdGensHomomorphismByImages  40.10-11  IsFullHomModule  61.10-7  IsFullMatrixModule  57.3-10  IsFullRowModule  57.3-8  IsFullSubgroupGLorSLRespectingBilinearForm  44.5-2  IsFullSubgroupGLorSLRespectingQuadraticForm  44.5-6  IsFullSubgroupGLorSLRespectingSesquilinearForm  44.5-4  IsFullTransformationMonoid  53.7-4  IsFullTransformationSemigroup  53.7-4  IsFunction  5.5-1  IsFunctionField  66.15-9  IsGAPRandomSource  14.7-4  IsGaussianIntegers  60.5-2  IsGaussianRationals  60.1-3  IsGaussianSpace  61.9-3  IsGaussInt  18.1-14  IsGaussRat  18.1-15  IsGeneralisedQuaternionGroup  50.1-9  IsGeneralizedDomain  31.9-1  IsGeneralizedRowVector  21.12-1  IsGeneralLinearGroup  44.4-1  IsGeneralMapping  32.13-1  IsGeneralMappingFamily  32.14-2  IsGeneratorsOfSemigroup  51.1-9  IsGeneratorsOfStruct  31.3  IsGL  44.4-1  IsGlobalRandomSource  14.7-4  IsGreensClass  51.8-3  IsGreensDClass  51.8-3  IsGreensDRelation  51.8-2  IsGreensHClass  51.8-3  IsGreensHRelation  51.8-2  IsGreensJClass  51.8-3  IsGreensJRelation  51.8-2  IsGreensLClass  51.8-3  IsGreensLessThanOrEqual  51.8-4  IsGreensLRelation  51.8-2  IsGreensRClass  51.8-3  IsGreensRelation  51.8-2  IsGreensRRelation  51.8-2  IsGroup  39.2-7  IsGroupGeneralMapping  32.9-4  IsGroupGeneralMappingByAsGroupGeneralMappingByImages  40.10-3  IsGroupGeneralMappingByImages  40.10-1  IsGroupGeneralMappingByPcgs  40.10-7  IsGroupHClass  51.8-11  IsGroupHomomorphism  32.9-4  IsGroupOfAutomorphisms  40.7-2  IsGroupRing  65.1-5  IsHandledByNiceBasis  61.11-6  IsHandledByNiceMonomorphism  40.5-1  IsHasseDiagram  33.2-7  IsHomogeneousList  21.1-3  IsIdempotent  31.10-7  IsIdenticalObj  12.5-1  IsIncomparableUnder  34.3-3  IsInducedFromNormalSubgroup  75.3-4  IsInducedPcgs  45.7-1  IsInducedPcgsWrtSpecialPcgs  45.13-7  IsInfBitsFamily  37.6-7  IsInfiniteAbelianizationGroup  47.16-1  IsInfiniteAbelianizationGroup, for groups  47.16-1  IsInfinity  18.2-1  IsInjective  32.3-4  IsInjectiveListTrans  53.4-2  IsInnerAutomorphism  40.6-4  IsInputOutputStream  10.8-1  IsInputStream  10.1-3  IsInputTextNone  10.1-5  IsInputTextStream  10.1-4  IsInt  14.2-1  IsIntegerMatrixGroup  44.6-3  IsIntegers  14.1-2  IsIntegralBasis  61.7-2  IsIntegralCyclotomic  18.1-4  IsIntegralRing  56.4-1  IsInternallyConsistent  12.8-4  IsInternalRep  13.4-1  IsInverseMonoid  51.4-8  IsInverseSemigroup  51.4-8  IsInverseSubsemigroup  51.3-5  IsIrreducibleCharacter  72.8-3  IsIrreducibleRingElement  56.5-7  IsIterator  30.8-3  IsJacobianElement  31.15-5  IsJacobianElementCollColl  31.15-5  IsJacobianElementCollection  31.15-5  IsJacobianRing  56.4-8  IsLaurentPolynomial  66.4-10  IsLaurentPolynomialDefaultRep  66.21-7  IsLDistributive  56.4-3  IsLeftAlgebraModuleElement  62.11-9  IsLeftAlgebraModuleElementCollection  62.11-9  IsLeftIdeal  56.2-3  IsLeftIdealInParent  56.2-3  IsLeftModule  57.1-2  IsLeftModuleGeneralMapping  32.11-2  IsLeftModuleHomomorphism  32.11-2  IsLeftOperatorAdditiveGroup  57.1-1  IsLeftSemigroupIdeal  51.5-3  IsLeftVectorSpace  61.1-1  IsLessThanOrEqualUnder  34.3-8  IsLessThanUnder  34.3-7  IsLetterAssocWordRep  37.6-1  IsLetterWordsFamily  37.6-2  IsLexicographicallyLess  21.20-9  IsLexOrderedFFE  59.1-3  IsLieAbelian  64.5-1  IsLieAlgebra  62.8-5  IsLieMatrix  24.2-3  IsLieNilpotent  64.5-2  IsLieObject  64.1-2  IsLieObjectCollection  64.1-2  IsLieSolvable  64.5-3  IsLinearMapping  32.11-3  IsLinearMappingsModule  61.10-9  IsLineByLineProfileActive  7.8-19  IsList  21.1-1  IsListDefault  21.12-3  IsListOrCollection  30.3-1  IsLogOrderedFFE  59.1-3  IsLookupDictionary  28.3-3  IsLowerAlphaChar  27.5-2  IsLowerTriangularMat  24.4-11  IsLowerTriangularMatrix  24.4-11  IsMagma  35.1-1  IsMagmaHomomorphism  32.8-1  IsMagmaRingModuloRelations  65.4-4  IsMagmaRingModuloSpanOfZero  65.5-2  IsMagmaRingObjDefaultRep  65.2-1  IsMagmaWithInverses  35.1-4  IsMagmaWithInversesIfNonzero  35.1-3  IsMagmaWithOne  35.1-2  IsMagmaWithZeroAdjoined  35.2-12  IsMapping  32.3-3  IsMatchingSublist  21.17-1  IsMatrix  24.2-1  IsMatrixGroup  44.1-1  IsMatrixModule  57.3-7  IsMatrixSpace  61.9-2  IsMersenneTwister  14.7-4  IsMinimalNonmonomial  75.5-1  IsModuloPcgs  45.9-2  IsMonoid  51.2-1  IsMonomial, for a character table  71.8-5  IsMonomial, for positive integers  75.4-3  IsMonomialGroup  39.15-9  IsMonomialMatrix  24.4-8  IsMonomialNumber  75.4-3  IsMonomialOrdering  66.17-1  IsMultiplicativeElement  31.14-10  IsMultiplicativeElementWithInverse  31.14-13  IsMultiplicativeElementWithOne  31.14-11  IsMultiplicativeElementWithZero  31.14-12  IsMultiplicativeGeneralizedRowVector  21.12-2  IsMultiplicativeZero  35.4-11  IsMutable  12.6-2  IsMutableBasis  61.8-1  IsNaN  19.2-9  IsNaturalAlternatingGroup  43.4-1  IsNaturalGL  44.4-2  IsNaturalGLnZ  44.6-4  IsNaturalSL  44.4-4  IsNaturalSLnZ  44.6-5  IsNaturalSymmetricGroup  43.4-1  IsNearAdditiveElement  31.14-2  IsNearAdditiveElementWithInverse  31.14-6  IsNearAdditiveElementWithZero  31.14-4  IsNearAdditiveGroup  55.1-3  IsNearAdditiveMagma  55.1-1  IsNearAdditiveMagmaWithInverses  55.1-3  IsNearAdditiveMagmaWithZero  55.1-2  IsNearlyCharacterTable  71.4-1  IsNearRingElement  31.14-15  IsNearRingElementWithInverse  31.14-19  IsNearRingElementWithOne  31.14-17  IsNegInfinity  18.2-1  IsNegRat  17.2-3  IsNilpotent, for a character table  71.8-5  IsNilpotent, for groups with pcgs  45.16  IsNilpotentElement  64.9-5  IsNilpotentGroup  39.15-3  IsNilpotentTom  70.8-1  IsNInfinity  19.2-9  IsNonabelianSimpleGroup  39.15-10  IsNonassocWord  36.1-3  IsNonassocWordCollection  36.1-4  IsNonassocWordWithOne  36.1-3  IsNonassocWordWithOneCollection  36.1-4  IsNonnegativeIntegers  14.1-2  IsNonSPGeneralMapping  32.14-1  IsNonTrivial  30.4-4  IsNormal  39.3-6  IsNormalBasis  61.7-3  IsNotIdenticalObj  12.5-2  IsNumberField  60.2-2  IsObject  12.1-1  IsOddInt  14.2-5  IsomorphicSubgroups  40.9-5  IsomorphismFpAlgebra  62.10-10  IsomorphismFpGroup  47.11-1  IsomorphismFpGroup, for subgroups of fp groups  47.12  IsomorphismFpGroupByGenerators  47.11-2  IsomorphismFpGroupByGeneratorsNC  47.11-2  IsomorphismFpGroupByPcgs  46.3-2  IsomorphismFpMonoid  52.2-3  IsomorphismFpSemigroup  52.2-3  IsomorphismGroups  40.9-1  IsomorphismMatrixAlgebra  62.10-11  IsomorphismPartialPermMonoid  54.7-6  IsomorphismPartialPermSemigroup  54.7-6  IsomorphismPcGroup  46.5-2  IsomorphismPermGroup  43.3-1  IsomorphismPermGroupImfGroup  50.7-6  IsomorphismReesMatrixSemigroup  51.9-3  IsomorphismReesZeroMatrixSemigroup  51.9-3  IsomorphismRefinedPcGroup  46.4-8  IsomorphismRepStruct  31.5  IsomorphismSCAlgebra, for an algebra  62.10-12  IsomorphismSimplifiedFpGroup  47.12-1  IsomorphismSpecialPcGroup  46.5-3  IsomorphismTransformationMonoid  53.7-5  IsomorphismTransformationSemigroup  53.7-5  IsomorphismTypeInfoFiniteSimpleGroup, for a character table  71.8-5  IsOne  31.10-5  IsOperation  78.1-1  IsOrdering  34.1-1  IsOrderingOnFamilyOfAssocWords  34.4-1  IsOrdinaryMatrix  24.2-2  IsOrdinaryTable  71.4-1  IsOutputStream  10.1-6  IsOutputTextNone  10.1-8  IsOutputTextStream  10.1-7  IsPackageLoaded  76.3-3  IsPackageMarkedForLoading  76.3-4  IsPackageMarkedForLoading  76.12  IsPadicExtensionNumber  68.2-3  IsPadicExtensionNumberFamily  68.2-4  IsParentPcgsFamilyPcgs  46.1-4  IsPartialOrderBinaryRelation  33.2-6  IsPartialPerm  54.1-1  IsPartialPermCollection  54.1-2  IsPartialPermMonoid  54.7-1  IsPartialPermSemigroup  54.7-1  IsPcGroup  46.3-1  IsPcGroupGeneralMappingByImages  40.10-8  IsPcGroupHomomorphismByImages  40.10-8  IsPcgs  45.2-2  IsPcgsCentralSeries  45.11-5  IsPcgsChiefSeries  45.11-13  IsPcgsElementaryAbelianSeries  45.11-1  IsPcgsPCentralSeriesPGroup  45.11-9  IsPerfect, for a character table  71.8-5  IsPerfectGroup  39.15-5  IsPerfectTom  70.8-1  IsPerm  42.1-1  IsPermCollColl  42.1-2  IsPermCollection  42.1-2  IsPermGroup  43.1-1  IsPermGroupGeneralMapping  40.10-5  IsPermGroupGeneralMappingByImages  40.10-5  IsPermGroupHomomorphism  40.10-5  IsPermGroupHomomorphismByImages  40.10-5  IsPGroup  39.15-19  IsPInfinity  19.2-9  IsPlistRep  21.24-1  IsPNilpotent  39.15-25  IsPolycyclicGroup  39.15-7  IsPolynomial  66.4-4  IsPolynomialDefaultRep  66.21-5  IsPolynomialFunction  66.4-1  IsPolynomialFunctionsFamily  66.19-2  IsPolynomialRing  66.15-4  IsPosInt  14.2-2  IsPositionalObjectRep  13.4-1  IsPositiveIntegers  14.1-2  IsPosRat  17.2-2  IsPowerfulPGroup  39.15-20  IsPreimagesByAsGroupGeneralMappingByImages  40.10-4  IsPreOrderBinaryRelation  33.2-5  IsPrime  56.5-8  IsPrimeField  58.2-5  IsPrimeInt  14.4-2  IsPrimeOrdersPcgs  45.4-3  IsPrimePowerInt  14.4-4  IsPrimitive, for a group, an action domain, etc.  41.10-7  IsPrimitiveCharacter  75.3-2  IsPrimitivePolynomial  66.4-12  IsPrimitiveRootMod  15.3-4  IsProbablyPrimeInt  14.4-2  IsProperty  13.7-1  IsPseudoCanonicalBasisFullHomModule  61.10-8  IsPSolubleCharacterTable  71.12-3  IsPSolubleCharacterTableOp  71.12-3  IsPSolvable  39.15-24  IsPSolvableCharacterTable  71.12-3  IsPSolvableCharacterTableOp  71.12-3  IsPurePadicNumber  68.1-5  IsPurePadicNumberFamily  68.1-6  IsQuasiPrimitive  75.3-3  IsQuaternion  62.8-8  IsQuaternionCollColl  62.8-8  IsQuaternionCollection  62.8-8  IsQuaternionGroup  50.1-9  IsQuickPositionList  21.23-1  IsQuotientSemigroup  51.7-1  IsRandomSource  14.7-1  IsRange  21.22-1  IsRangeRep  21.22-2  IsRat  17.2-1  IsRationalFunction  66.4-1  IsRationalFunctionDefaultRep  66.21-1  IsRationalFunctionsFamily  66.19-2  IsRationalMatrixGroup  44.6-2  IsRationals  17.1-1  IsRationalsPolynomialRing  66.15-7  IsRDistributive  56.4-4  IsReadableFile  9.6-2  IsReadOnlyGlobal  4.9-1  IsRecord  29.1-1  IsRecordCollColl  29.1-1  IsRecordCollection  29.1-1  IsRectangularTable  21.1-5  IsReduced  38.1-7  IsReductionOrdering  34.4-3  IsReesCongruence  51.6-2  IsReesCongruenceSemigroup  51.4-7  IsReesMatrixSemigroup  51.9-7  IsReesMatrixSemigroupElement  51.9-4  IsReesMatrixSubsemigroup  51.9-6  IsReesZeroMatrixSemigroup  51.9-7  IsReesZeroMatrixSemigroupElement  51.9-4  IsReesZeroMatrixSubsemigroup  51.9-6  IsReflexiveBinaryRelation  33.2-1  IsRegular, for a group, an action domain, etc.  41.10-5  IsRegularDClass  51.8-12  IsRegularSemigroup  51.4-1  IsRegularSemigroupElement  51.4-2  IsRelativelySM, for a character  75.4-6  IsRepresentation  13.4-2  IsRestrictedJacobianElement  31.15-5  IsRestrictedJacobianElementCollColl  31.15-5  IsRestrictedJacobianElementCollection  31.15-5  IsRestrictedLieAlgebra  64.8-1  IsRestrictedLieObject  64.1-2  IsRestrictedLieObjectCollection  64.1-2  IsRewritingSystem  38.1-1  IsRightAlgebraModuleElement  62.11-10  IsRightAlgebraModuleElementCollection  62.11-10  IsRightCoset  39.7-4  IsRightIdeal  56.2-3  IsRightIdealInParent  56.2-3  IsRightModule  57.1-7  IsRightOperatorAdditiveGroup  57.1-6  IsRightSemigroupIdeal  51.5-3  IsRing  56.1-1  IsRingElement  31.14-16  IsRingElementWithInverse  31.14-20  IsRingElementWithOne  31.14-18  IsRingGeneralMapping  32.12-1  IsRingHomomorphism  32.12-1  IsRingWithOne  56.3-1  IsRingWithOneGeneralMapping  32.12-2  IsRingWithOneHomomorphism  32.12-2  IsRootSystem  64.6-3  IsRootSystemFromLieAlgebra  64.6-4  IsRowModule  57.3-6  IsRowSpace  61.9-1  IsRowVector  23.1-1  IsScalar  31.14-20  IsSemiEchelonized  61.9-7  IsSemigroup  51.1-1  IsSemigroupCongruence  51.6-1  IsSemigroupIdeal  51.5-3  IsSemiRegular, for a group, an action domain, etc.  41.10-4  IsSet  21.17-4  IsShortLexLessThanOrEqual  37.3-3  IsShortLexOrdering  34.4-7  IsSimple, for a character table  71.8-5  IsSimpleAlgebra  62.8-6  IsSimpleGroup  39.15-10  IsSimpleSemigroup  51.4-4  IsSingleValued  32.3-2  IsSL  44.4-3  IsSolvable, for a character table  71.8-5  IsSolvableGroup  39.15-6  IsSolvableTom  70.8-1  IsSortedList  21.17-3  IsSpecialLinearGroup  44.4-3  IsSpecialPcgs  45.13-1  IsSPGeneralMapping  32.14-1  IsSporadicSimple, for a character table  71.8-5  IsSSortedList  21.17-4  IsStandardIterator  30.8-1  IsStraightLineProgElm  37.9-1  IsStraightLineProgram  37.8-1  IsStream  10.1-1  IsString  27.1-2  IsStringRep  27.4-1  IsStruct  31.6  IsSubgroup  39.3-5  IsSubgroupFpGroup  47.1-1  IsSubgroupOfWholeGroupByQuotientRep  47.13-2  IsSubgroupSL  44.4-5  IsSubmonoidFpMonoid  52.1-1  IsSubnormal  39.3-10  IsSubnormallyMonomial, for a character  75.4-5  IsSubsemigroup  51.1-4  IsSubsemigroupFpSemigroup  52.1-1  IsSubset  30.5-1  IsSubsetBlist  22.2-4  IsSubsetLocallyFiniteGroup  39.15-18  IsSubsetSet  21.19-3  IsSubspacesVectorSpace  61.4-2  IsSubstruct  31.8  IsSupersolvable, for a character table  71.8-5  IsSupersolvable, for groups with pcgs  45.16  IsSupersolvableGroup  39.15-8  IsSurjective  32.3-5  IsSyllableAssocWordRep  37.6-5  IsSyllableWordsFamily  37.6-6  IsSymmetricBinaryRelation  33.2-2  IsSymmetricGroup  43.4-2  IsSymmetricInverseMonoid  54.7-4  IsSymmetricInverseSemigroup  54.7-4  IsTable  21.1-4  IsTableOfMarks  70.6-2  IsTableOfMarksWithGens  70.10-3  IsToPcGroupGeneralMappingByImages  40.10-9  IsToPcGroupHomomorphismByImages  40.10-9  IsToPermGroupGeneralMappingByImages  40.10-6  IsToPermGroupHomomorphismByImages  40.10-6  IsTotal  32.3-1  IsTotalOrdering  34.3-2  IsTransformation  53.1-1  IsTransformationCollection  53.1-2  IsTransformationMonoid  53.7-1  IsTransformationSemigroup  53.7-1  IsTransitive, for a character  72.8-15  IsTransitiveBinaryRelation  33.2-3  IsTranslationInvariantOrdering  34.4-2  IsTrivial  30.4-3  IsTwoSidedIdeal  56.2-3  IsTwoSidedIdealInParent  56.2-3  IsUEALatticeElement  64.14-1  IsUEALatticeElementCollection  64.14-1  IsUEALatticeElementFamily  64.14-1  IsUniqueFactorizationRing  56.4-2  IsUnit  56.5-1  IsUnivariatePolynomial  66.4-8  IsUnivariatePolynomialRing  66.16-2  IsUnivariateRationalFunction  66.4-6  IsUnknown  74.1-3  IsUpperAlphaChar  27.5-3  IsUpperTriangularMat  24.4-10  IsUpperTriangularMatrix  24.4-10  IsValidIdentifier  4.6-1  IsVector  31.14-14  IsVectorSpace  61.1-1  IsVirtualCharacter  72.8-2  IsWeightLexOrdering  34.4-9  IsWeightRepElement  64.14-4  IsWeightRepElementCollection  64.14-4  IsWeightRepElementFamily  64.14-4  IsWellFoundedOrdering  34.3-1  IsWeylGroup  64.7-1  IsWholeFamily  30.4-5  IsWLetterAssocWordRep  37.6-3  IsWLetterWordsFamily  37.6-4  IsWord  36.1-1  IsWordCollection  36.1-2  IsWordWithInverse  36.1-1  IsWordWithOne  36.1-1  IsWreathProductOrdering  34.4-14  IsWritableFile  9.6-3  IsXInfinity  19.2-9  IsZero  31.10-6  IsZeroGroup  51.4-6  IsZeroSimpleSemigroup  51.4-5  IsZeroSquaredElement  31.15-6  IsZeroSquaredElementCollColl  31.15-6  IsZeroSquaredElementCollection  31.15-6  IsZeroSquaredRing  56.4-7  IsZmodnZObj  14.5-4  IsZmodnZObjNonprime  14.5-4  IsZmodpZObj  14.5-4  IsZmodpZObjLarge  14.5-4  IsZmodpZObjSmall  14.5-4  Iterated  21.20-27  Iterator  30.8-1  IteratorByBasis  61.6-6  IteratorByFunctions  30.8-8  IteratorList  30.8-6  IteratorOfCartesianProduct, for a list of lists  21.20-17  IteratorOfCombinations  16.2-2  IteratorOfPartitions  16.2-19  IteratorOfTuples  16.2-10  IteratorSorted  30.8-2  IteratorStabChain  43.10-10  Jacobi  15.4-1  JenningsLieAlgebra  64.8-4  JenningsSeries  39.17-14  JoinEquivalenceRelations  33.6-3  JoinOfIdempotentPartialPermsNC  54.2-4  JoinOfPartialPerms  54.2-4  JoinStringsWithSeparator  27.7-20  JordanDecomposition  24.13-3  KappaPerp  64.9-4  KB_REW  52.5-2  KernelOfAdditiveGeneralMapping  32.10-5  KernelOfCharacter  72.8-9  KernelOfMultiplicativeGeneralMapping  32.9-5  KernelOfTransformation  53.5-12  KeyDependentOperation  85.1-1  KillingMatrix  64.9-3  KnownAttributesOfObject  13.5-2  KnownPropertiesOfObject  13.7-2  KnownTruePropertiesOfObject  13.7-3  KnowsDictionary  28.3-5  KnowsHowToDecompose  39.26-7  KnuthBendixRewritingSystem, for a monoid and a reduction ordering  52.5-3  KroneckerProduct  24.5-8  KuKGenerators  49.4-4  Lambda  15.2-3  LargerQuotientBySubgroupAbelianization  47.14-7  LargestElementGroup  39.22-2  LargestElementStabChain  43.10-14  LargestImageOfMovedPoint, for a partial permutation  54.3-15  LargestMovedPoint, for a list or collection of permutations  42.3-2  LargestUnknown  74.1-2  last  6.1  last2  6.1  last3  6.1  LastSystemError  9.1-1  LaTeXStringDecompositionMatrix  71.11-5  LatticeByCyclicExtension  39.21-1  LatticeGeneratorsInUEA  64.14-2  LatticeSubgroups  39.20-1  LatticeSubgroupsByTom  70.3-3  LaurentPolynomialByCoefficients  66.13-1  LaurentPolynomialByExtRep  66.22-3  LaurentPolynomialByExtRepNC  66.22-3  LClassOfHClass  51.8-5  Lcm, for (a ring and) a list of elements  56.7-6  LcmInt  14.3-6  LcmOp  56.7-7  LdExp  19.2-10  LeadCoeffsIGS  45.7-7  LeadingCoefficient  66.6-3  LeadingCoefficientOfPolynomial  66.17-4  LeadingExponentOfPcElement  45.5-5  LeadingMonomial  66.6-4  LeadingMonomialOfPolynomial  66.17-2  LeadingTermOfPolynomial  66.17-3  LeftActingAlgebra  62.11-11  LeftActingDomain  57.1-11  LeftActingRingOfIdeal  56.2-10  LeftAlgebraModule  62.11-4  LeftAlgebraModuleByGenerators  62.11-1  LeftDerivations  64.2-6  LeftIdeal  56.2-1  LeftIdealByGenerators  56.2-5  LeftIdealNC  56.2-2  LeftModuleByGenerators  57.1-10  LeftModuleByHomomorphismToMatAlg  62.11-17  LeftModuleGeneralMappingByImages  61.10-1  LeftModuleHomomorphismByImages  61.10-2  LeftModuleHomomorphismByImagesNC  61.10-2  LeftModuleHomomorphismByMatrix  61.10-3  LeftOne, for a partial perm  54.3-21  LeftQuotient  31.12-2  LeftQuotient, for words  37.4  LeftShiftRowVector  23.5-1  Legendre  15.4-2  Length  21.17-5  LengthsTom  70.7-3  LengthWPObj  86.2-1  LenstraBase  60.3-2  LessThanFunction  34.3-5  LessThanOrEqualFunction  34.3-6  LetterRepAssocWord  37.6-8  LevelsOfGenerators  34.4-15  LeviMalcevDecomposition, for Lie algebras  62.9-19  LexicographicOrdering  34.4-5  LGFirst  45.13-5  LGLayers  45.13-4  LGLength  45.13-6  LGWeights  45.13-3  LieAlgebra, for an associative algebra  64.2-3  LieAlgebraByStructureConstants  64.2-1  LieBracket  31.12-4  LieCenter  64.3-1  LieCentralizer  64.3-2  LieCentre  64.3-1  LieCoboundaryOperator  64.12-5  LieDerivedSeries  64.4-1  LieDerivedSubalgebra  64.3-4  LieFamily  64.1-3  LieLowerCentralSeries  64.4-2  LieNilRadical  64.3-5  LieNormalizer  64.3-3  LieObject  64.1-1  LieSolvableRadical  64.3-6  LieUpperCentralSeries  64.4-3  LiftedInducedPcgs  45.10-4  LiftedPcElement  45.10-3  LinearAction  45.14-2  LinearActionLayer  45.14-3  LinearCharacters, for a character table  71.8-3  LinearCombination  61.6-4  LinearCombinationPcgs  45.5-7  LinearIndependentColumns  25.4-2  LinearOperation  45.14-2  LinearOperationLayer  45.14-3  LinesOfStraightLineProgram  37.8-3  List, for a collection  30.3-5  ListBlist  22.2-2  ListN  21.20-28  ListOfDigits  14.2-11  ListOp, for IsVectorObj, IsFunction  26.4-3  ListPerm  42.5-1  ListStabChain  43.10-8  ListTransformation  53.5-2  ListWithIdenticalEntries  21.15-1  ListX  21.21-1  LLL  72.10-4  LLLReducedBasis  25.5-1  LLLReducedGramMat  25.5-2  LoadAllPackages  76.18-3  LoadDynamicModule  76.3-12  LoadPackage  76.2-1  local  4.23  LocationFunc  5.1-6  Log  19.2-10  Log10  19.2-10  Log1p  19.2-10  Log2  19.2-10  LogFFE  59.2-2  LogInt  14.2-8  LogMod  15.3-2  LogModShanks  15.3-2  LogPackageLoadingMessage  76.2-5  LogPackageLoadingMessage  76.14-2  LogTo, for a filename  9.7-4  LongestWeylWordPerm  64.7-5  LookupDictionary  28.3-6  LowercaseChar  27.7-12  LowercaseString  27.7-11  LowerCentralSeriesOfGroup  39.17-11  LowIndexSubgroups  39.19-6  LowIndexSubgroupsFpGroup  47.10-1  LowIndexSubgroupsFpGroupIterator  47.10-1  LowLayerSubgroups  39.20-6  LQUO, for a permutation and transformation  53.4  Lucas  16.3-2  Magma  35.2-1  MagmaByGenerators  35.2-4  MagmaByMultiplicationTable  35.3-1  MagmaElement  35.3-4  MagmaHomomorphismByFunctionNC  32.8-2  MagmaRingModuloSpanOfZero  65.5-3  MagmaWithInverses  35.2-3  MagmaWithInversesByGenerators  35.2-6  MagmaWithInversesByMultiplicationTable  35.3-3  MagmaWithOne  35.2-2  MagmaWithOneByGenerators  35.2-5  MagmaWithOneByMultiplicationTable  35.3-2  MagmaWithZeroAdjoined  35.2-13  MakeBitfields  14.8-1  MakeConfluent  38.1-11  MakeConstantGlobal  4.9-4  MakeFloat  19.2-1  MakeImmutable  12.6-4  MakeReadOnlyGlobal  4.9-2  MakeReadWriteGlobal  4.9-3  MappedWord  36.3-1  MappingByFunction, by function (and inverse function) between two domains  32.2-2  MappingGeneratorsImages  40.10-2  MappingPermListList  42.5-3  MarksTom  70.7-1  MatAlgebra  62.5-4  MatClassMultCoeffsCharTable  71.12-9  MathieuGroup  50.1-13  MatLieAlgebra  64.2-5  Matrix  51.9-8  MatrixAlgebra  62.5-4  MatrixAutomorphisms  71.22-1  MatrixByBlockMatrix  24.17-3  MatrixLieAlgebra  64.2-5  MatrixOfAction  62.11-15  MatScalarProducts  72.8-6  MatTom  70.7-10  MaximalAbelianQuotient  39.18-4  MaximalBlocks, for a group, an action domain, etc.  41.11-2  MaximalNormalSubgroups  39.19-10  MaximalSubgroupClassReps  39.19-5  MaximalSubgroups  39.19-8  MaximalSubgroups, for groups with pcgs  45.16  MaximalSubgroupsLattice  39.20-4  MaximalSubgroupsTom  70.9-12  Maximum, for a list  21.20-13  MaximumList  21.20-15  MeetEquivalenceRelations  33.6-3  MeetMaps  73.5-8  MeetOfPartialPerms  54.2-5  MemoizePosIntFunction  5.3-1  memory_allocated  6.1  memory_allocated  7.7-2  MemoryUsage  12.8-5  MicroSleep  7.6-5  Mid  19.5-3  MinimalElementCosetStabChain  43.10-13  MinimalFaithfulPermutationDegree  39.20-9  MinimalGeneratingSet  39.22-3  MinimalGeneratingSet, for groups with pcgs  45.16  MinimalNonmonomialGroup  75.5-2  MinimalNormalSubgroups  39.19-11  MinimalPolynomial  66.8-1  MinimalPolynomial, over a ring  66.8  MinimalStabChain  43.8-5  MinimalSupergroupsLattice  39.20-5  MinimalSupergroupsTom  70.9-13  MinimizedBombieriNorm  66.12-2  Minimum, for a list  21.20-14  MinimumList  21.20-15  MinusCharacter  73.6-5  mod  4.13  mod, residue class rings  14.5  ModuleByRestriction  62.11-21  ModuleOfExtension  46.8-7  ModuloPcgs  45.9-1  MoebiusMu  15.5-3  MoebiusTom  70.7-11  MolienSeries  72.12-1  MolienSeriesInfo  72.12-2  MolienSeriesWithGivenDenominator  72.12-4  Monoid, for a list  51.2-2  MonoidByGenerators  51.2-4  MonoidByMultiplicationTable  51.2-10  MonoidOfRewritingSystem  52.5-4  MonomialComparisonFunction  66.17-5  MonomialExtGrlexLess  66.17-14  MonomialExtrepComparisonFun  66.17-6  MonomialGrevlexOrdering  66.17-9  MonomialGrlexOrdering  66.17-8  MonomialLexOrdering  66.17-7  MonomialTotalDegreeLess  77.4  MorClassLoop  40.9-6  MostFrequentGeneratorFpGroup  47.6-8  MovedPoints, for a list or collection of permutations  42.3-3  MTX  69.3-1  MTX.BasesCompositionSeries  69.7-9  MTX.BasesMaximalSubmodules  69.7-5  MTX.BasesMinimalSubmodules  69.7-4  MTX.BasesMinimalSupermodules  69.7-8  MTX.BasesSubmodules  69.7-3  MTX.BasisInOrbit  69.11-4  MTX.BasisModuleEndomorphisms  69.9-2  MTX.BasisModuleHomomorphisms  69.9-1  MTX.BasisRadical  69.7-6  MTX.BasisSocle  69.7-7  MTX.CollectedFactors  69.7-11  MTX.CompositionFactors  69.7-10  MTX.DegreeSplittingField  69.5-3  MTX.Dimension  69.4-2  MTX.Distinguish  69.10-5  MTX.Field  69.4-3  MTX.Generators  69.4-1  MTX.HomogeneousComponents  69.6-3  MTX.Homomorphism  69.10-3  MTX.Homomorphisms  69.10-4  MTX.Indecomposition  69.6-2  MTX.InducedAction  69.8-5  MTX.InducedActionFactorMatrix  69.8-4  MTX.InducedActionFactorModule  69.8-3  MTX.InducedActionSubMatrix  69.8-4  MTX.InducedActionSubMatrixNB  69.8-4  MTX.InducedActionSubmodule  69.8-2  MTX.InducedActionSubmoduleNB  69.8-2  MTX.InvariantBilinearForm  69.11-1  MTX.InvariantQuadraticForm  69.11-3  MTX.InvariantSesquilinearForm  69.11-2  MTX.IsAbsolutelyIrreducible  69.5-2  MTX.IsEquivalent  69.10-1  MTX.IsIndecomposable  69.6-1  MTX.IsIrreducible  69.5-1  MTX.IsomorphismIrred  69.10-2  MTX.IsomorphismModules  69.9-3  MTX.ModuleAutomorphisms  69.9-4  MTX.NormedBasisAndBaseChange  69.8-1  MTX.OrthogonalSign  69.11-5  MTX.ProperSubmoduleBasis  69.7-2  MTX.SubGModule  69.7-1  MTX.SubmoduleGModule  69.7-1  MultiplicationTable, for a list of elements  35.3-5  MultiplicativeNeutralElement  35.4-10  MultiplicativeZero  35.4-11  MultiplicativeZeroOp  31.10-4  MultRowVector  77.4  MultVector  23.4-3  MultVectorLeft  23.4-3  MutableBasis  61.8-2  MutableBasisOfClosureUnderAction  62.9-11  MutableBasisOfIdealInNonassociativeAlgebra  62.9-13  MutableBasisOfNonassociativeAlgebra  62.9-12  MutableIdentityMat  77.4  MutableNullMat  77.4  Name  12.8-2  NameFunction  5.1-1  NameRNam  29.7-1  NamesFilter  13.2-2  NamesGVars  4.9-9  NamesLocalVariablesFunction  5.1-3  NamesOfComponents  79.2-1  NamesOfFusionSources  73.3-5  NamesSystemGVars  4.9-10  NamesUserGVars  4.9-11  NanosecondsSinceEpoch  7.6-3  NanosecondsSinceEpochInfo  7.6-3  NaturalCharacter, for a group  72.7-2  NaturalHomomorphismByGenerators  32.8-3  NaturalHomomorphismByIdeal  56.8-4  NaturalHomomorphismByNormalSubgroup  39.18-1  NaturalHomomorphismByNormalSubgroupNC  39.18-1  NaturalHomomorphismBySubAlgebraModule  62.11-22  NaturalHomomorphismBySubspace  61.10-4  NaturalHomomorphismOfLieAlgebraFromNilpotentGroup  64.8-6  NaturalLeqPartialPerm  54.5-4  NaturalPartialOrder  54.7-5  NearAdditiveGroup  55.2-3  NearAdditiveGroupByGenerators  55.2-6  NearAdditiveMagma  55.2-1  NearAdditiveMagmaByGenerators  55.2-4  NearAdditiveMagmaWithZero  55.2-2  NearAdditiveMagmaWithZeroByGenerators  55.2-5  NearlyCharacterTablesFamily  71.4-3  NegativeRoots  64.6-8  NegativeRootVectors  64.6-10  NestingDepthA  21.12-4  NestingDepthM  21.12-5  NewAttribute  13.5-3  NewAttribute, example  80.5  NewCategory  13.3-4  NewConstructor  78.2-1  NewDictionary  28.2-1  NewFamily  13.1-2  NewFilter  13.8-1  NewFloat  19.2-1  NewInfoClass  7.4-1  NewmanInfinityCriterion  47.16-2  NewOperation  78.1-4  NewProperty  13.7-4  NewRepresentation  13.4-4  NewRepresentation, example  80.6  NewType  13.9-3  NextIterator  30.8-5  NextPrimeInt  14.4-5  NF  60.1-2  NiceAlgebraMonomorphism  62.10-9  NiceBasis  61.11-4  NiceBasisFiltersInfo  61.12-2  NiceFreeLeftModule  61.11-1  NiceFreeLeftModuleInfo  61.11-3  NiceMonomorphism  40.5-2  NiceMonomorphismAutomGroup  40.8-2  NiceObject  40.5-3  NiceVector  61.11-2  NilpotencyClassOfGroup  39.15-4  NilpotentQuotientOfFpLieAlgebra  64.11-2  NK  18.4-5  NOAUTO  76.2-2  NonabelianExteriorSquare  39.24-5  NonnegativeIntegers  14.1-1  NonnegIntScalarProducts  73.5-15  NonNilpotentElement  64.9-6  Norm  58.3-4  Norm, of character  72.8-7  NormalBase  58.3-7  NormalClosure  39.11-4  NormalFormIntMat  25.2-9  NormalIntersection  39.11-5  NormalizedElementOfMagmaRingModuloRelations  65.4-3  NormalizedWhitespace  27.7-18  Normalizer, for a group and a group element  39.11-1  NormalizerInGLnZ  44.6-7  NormalizerInGLnZBravaisGroup  44.6-14  NormalizersTom  70.9-4  NormalizerTom  70.9-4  NormalizerViaRadical  39.27-1  NormalizeWhitespace  27.7-17  NormalSeriesByPcgs  45.11-18  NormalSubgroupClasses  71.23-3  NormalSubgroupClassesInfo  71.23-1  NormalSubgroups  39.19-9  NormedRowVector  23.2-1  NormedRowVectors  61.9-11  NormedVectors  77.4  not  20.4-3  NrArrangements  16.2-5  NrBasisVectors  61.8-3  NrCombinations  16.2-3  NrComponentsOfPartialPerm  54.3-19  NrComponentsOfTransformation  53.5-18  NrConjugacyClasses  39.10-5  NrConjugacyClassesGL  50.3-1  NrConjugacyClassesGU  50.3-1  NrConjugacyClassesPGL  50.3-1  NrConjugacyClassesPGU  50.3-1  NrConjugacyClassesPSL  50.3-1  NrConjugacyClassesPSU  50.3-1  NrConjugacyClassesSL  50.3-1  NrConjugacyClassesSLIsogeneous  50.3-1  NrConjugacyClassesSU  50.3-1  NrConjugacyClassesSUIsogeneous  50.3-1  NrDerangements  16.2-15  NrFixedPoints, for a partial perm  54.3-10  NrInputsOfStraightLineProgram  37.8-4  NrMovedPoints, for a list or collection of permutations  42.3-4  NrOrderedPartitions  16.2-22  NrPartitions  16.2-20  NrPartitionsSet  16.2-17  NrPartitionTuples  16.2-31  NrPermutationsList  16.2-13  NrPolyhedralSubgroups  71.12-6  NrRestrictedPartitions  16.2-26  NrSubsTom  70.7-2  NrTuples  16.2-11  NrUnorderedTuples  16.2-7  NthRootsInGroup  39.10-10  NullAlgebra  62.5-5  NullMat  24.5-2  NullspaceIntMat  25.1-1  NullspaceMat  24.7-4  NullspaceMatDestructive  24.7-5  NullspaceModN  24.15-3  NullspaceModQ  24.15-3  Number  21.20-21  NumberArgumentsFunction  5.1-2  NumberFFVector  23.3-3  NumberPerfectGroups  50.6-4  NumberPerfectLibraryGroups  50.6-5  NumberSmallRings  56.9-2  NumbersString  27.7-24  NumberSyllables  37.5-1  NumberTransformation  53.2-6  NumeratorOfModuloPcgs  45.9-3  NumeratorOfRationalFunction  66.4-2  NumeratorRat  17.2-4  ObjByExtRep  79.8-1  Objectify  79.1-1  ObjectifyWithAttributes  79.1-2  OCOneCocycles  39.23-3  OctaveAlgebra  62.5-3  od  4.20  OldGeneratorsOfPresentation  48.9-2  Omega  39.14-1  ONanScottType  43.5-1  OnBreak  6.4-3  OnBreakMessage  6.4-4  One  31.10-2  OneAttr  31.10-2  OneCoboundaries  39.23-2  OneCocycles, for a group and a pcgs  39.23-1  OneFactorBound  66.12-4  OneImmutable  31.10-2  OneLibraryGroup  50.5  OneMutable  31.10-2  OneOfPcgs  45.4-6  OneOp  31.10-2  OnePrimitiveGroup  50.5  OneSameMutability  31.10-2  OneSM  31.10-2  OneTransitiveGroup  50.5  OnIndeterminates, as a permutation action  41.2-13  OnLeftInverse  41.2-3  OnLines  41.2-12  OnLines, example  50.2-1  OnlyNeeded, option  76.11  OnPairs  41.2-6  OnPoints  41.2-1  OnQuit  8.1-4  OnRight  41.2-2  OnSets  41.2-4  OnSetsDisjointSets  41.2-8  OnSetsSets  41.2-7  OnSetsTuples  41.2-9  OnSubspacesByCanonicalBasis  41.2-15  OnSubspacesByCanonicalBasisConcatenations  41.2-15  OnTuples  41.2-5  OnTuplesSets  41.2-10  OnTuplesTuples  41.2-11  Operation  77.1  OperationAlgebraHomomorphism, action on a free left module  62.10-8  OperationHomomorphism  77.1  or  20.4-1  Orbit  41.4-1  OrbitFusions  73.4-1  OrbitishFO  85.3-2  OrbitLength  41.4-4  OrbitLengths, for a group, a set of seeds, etc.  41.4-5  OrbitLengthsDomain, for a group and a set of seeds  41.4-6  OrbitPerms  43.2-1  OrbitPowerMaps  73.2-1  Orbits, as attributes for external sets  85.3  Orbits, attribute  41.4-2  OrbitsDomain, for a group and an action domain  41.4-3  OrbitsishOperation  85.3-1  OrbitsPerms  43.2-2  OrbitStabChain  43.10-6  OrbitStabilizer  41.5-1  OrbitStabilizerAlgorithm  41.5-3  Order  31.10-10  OrderedPartitions  16.2-21  OrderingByLessThanFunctionNC  34.2-1  OrderingByLessThanOrEqualFunctionNC  34.2-2  OrderingOfRewritingSystem  38.1-3  OrderingOnGenerators  34.4-4  OrderingsFamily  34.1-2  OrderMod  15.3-1  OrderOfRewritingSystem  38.1-3  OrdersClassRepresentatives  71.9-1  OrdersTom  70.7-2  Ordinal  27.9-4  OrdinaryCharacterTable, for a character table  71.8-4  OrthogonalComponents  72.11-4  OrthogonalEmbeddings  25.6-1  OrthogonalEmbeddingsSpecialDimension  72.10-6  OutputLogTo, for a filename  9.7-6  OutputTextFile  10.5-2  OutputTextNone  10.9-2  OutputTextString  10.7-2  OutputTextUser  10.6-2  PACKAGE_DEBUG  76.2-5  PACKAGE_ERROR  76.2-5  PACKAGE_INFO  76.2-5  PACKAGE_WARNING  76.2-5  PackageInfo.g, for a GAP package  76.5  PackageVariablesInfo  76.3-15  PadicCoefficients  25.4-3  PadicExtensionNumberFamily  68.2-1  PadicNumber, for a p-adic extension family and a list  68.2-2  PadicValuation  56.5-10  Pager  2.4-1  PageSource  5.1-7  Parametrized  73.5-5  Parent  31.7-1  ParentPcgs  45.7-3  ParseRelators  47.2-3  PartialFactorization  14.4-9  PartialOrderByOrderingFunction  33.4-6  PartialOrderOfHasseDiagram  33.2-11  PartialPerm, for a dense image  54.2-1  PartialPermFamily  54.1-3  PartialPermOp  54.2-2  PartialPermOpNC  54.2-2  Partitions  16.2-18  PartitionsGreatestEQ  16.2-24  PartitionsGreatestLE  16.2-23  PartitionsSet  16.2-16  PartitionTuples  16.2-30  PcElementByExponents  45.5-6  PcElementByExponentsNC  45.5-6  PCentralLieAlgebra  64.8-5  PCentralNormalSeriesByPcgsPGroup  45.11-12  PCentralSeries  39.17-13  PcGroupCode  46.9-3  PcGroupFpGroup  46.4-1  PcGroupWithPcgs  46.5-1  Pcgs  45.2-1  Pcgs_OrbitStabilizer  45.15-2  PcgsByPcSequence  45.3-1  PcgsByPcSequenceNC  45.3-1  PcgsCentralSeries  45.11-6  PcgsChiefSeries  45.11-14  PcgsElementaryAbelianSeries, for a group  45.11-2  PcgsPCentralSeriesPGroup  45.11-10  PClassPGroup  39.15-22  PCore  39.11-3  PcSeries  45.4-4  PerfectGroup, for a pair [ order, index ]  50.6-2  PerfectIdentification  50.6-3  PerfectResiduum  39.12-8  Perform  21.20-11  PERM_INVERSE_THRESHOLD  42.1-4  Permanent  16.4-1  PermBounds  72.14-3  PermCharInfo  72.13-1  PermCharInfoRelative  72.13-2  PermChars  72.14-1  PermCharsTom, from a character table  70.11-2  PermComb  72.14-4  PermLeftQuoPartialPerm  54.5-1  PermLeftQuoPartialPermNC  54.5-1  PermLeftQuoTransformation  53.4-1  PermLeftQuoTransformationNC  53.4-1  PermList  42.5-2  PermListList  21.20-12  Permutation, for a group, an action domain, etc.  41.9-1  PermutationCharacter, for a group, an action domain, and a function  72.7-3  PermutationCycle  41.9-2  PermutationGModule  69.2-1  PermutationMat  24.5-5  PermutationOfImage  53.3-3  PermutationsFamily  42.1-3  PermutationsList  16.2-12  PermutationTom  70.5-2  Permuted  21.20-18  PGL  50.2-11  PGU  50.2-13  Phi  15.2-2  PolynomialByExtRep  66.22-2  PolynomialByExtRepNC  66.22-2  PolynomialCoefficientsOfPolynomial  66.6-2  PolynomialDivisionAlgorithm  66.17-13  PolynomialModP  66.11-2  PolynomialReducedRemainder  66.17-12  PolynomialReduction  66.17-11  PolynomialRing, for a ring and a list of indeterminate numbers  66.15-1  POmega  50.2-16  PopOptions  8.1-2  Position  21.16-1  PositionBound  21.16-11  PositionCanonical  21.16-3  PositionFirstComponent  77.4  PositionLastNonZero  26.4-2  PositionMaximum  21.16-8  PositionMinimum  21.16-8  PositionNonZero  21.16-14  PositionNot  21.16-13  PositionNthOccurrence  21.16-4  PositionProperty  21.16-9  Positions  21.16-2  PositionsBound  21.16-12  PositionSet  21.16-7  PositionsOp  21.16-2  PositionSorted  21.16-5  PositionSortedBy  21.16-6  PositionSortedByOp  21.16-6  PositionSortedOp  21.16-5  PositionsProperty  21.16-10  PositionStream  10.3-7  PositionSublist  21.16-15  PositionWord  37.4-4  PositiveIntegers  14.1-1  PositiveRoots  64.6-7  PositiveRootVectors  64.6-9  PossibleClassFusions  73.3-6  PossibleFusionsCharTableTom  70.11-1  PossiblePowerMaps  73.1-2  PowerMap  73.1-1  PowerMapByComposition  73.1-4  PowerMapOp  73.1-1  PowerMapsAllowedBySymmetrizations  73.6-6  PowerMod  56.7-9  PowerModCoeffs  23.7-5  PowerModInt  14.3-10  PowerPartition  16.2-29  PowerSubalgebraSeries  62.9-4  PQuotient  47.14-1  PrecisionFloat  19.2-7  PrefrattiniSubgroup  39.12-7  PrefrattiniSubgroup, for groups with pcgs  45.16  PreImage, set of preimages of a collection under a general mapping  32.5-6  PreImageElm  32.5-3  PreImagePartialPerm  54.5-2  PreImages, set of preimages of a collection under a general mapping  32.5-7  PreImagesElm  32.5-2  PreImagesOfTransformation  53.4-4  PreImagesRange  32.5-1  PreImagesRepresentative  32.5-4  PreImagesSet  32.5-5  PresentationFpGroup  48.1-1  PresentationNormalClosure  48.2-6  PresentationNormalClosureRrs  48.2-5  PresentationSubgroup  48.2-1  PresentationSubgroupMtc  48.2-4  PresentationSubgroupRrs, for a group and a coset table (and a string)  48.2-2  PresentationViaCosetTable  48.1-5  PrevPrimeInt  14.4-6  PrimalityProof  14.4-3  PrimaryGeneratorWords  48.2-3  PrimeBlocks  71.11-1  PrimeBlocksOp  71.11-1  PrimeDivisors  14.4-8  PrimeField  58.2-4  PrimePGroup  39.15-21  PrimePowersInt  14.4-11  PrimeResidues  15.2-1  Primes  14.4-1  PrimitiveElement  58.2-3  PrimitivePolynomial  66.11-1  PrimitiveRoot  59.3-3  PrimitiveRootMod  15.3-3  Print  6.3-4  PrintAmbiguity  73.5-14  PrintArray  24.5-10  PrintCharacterTable  71.13-5  PrintCSV  10.11-2  PrintFactorsInt  14.4-10  PrintFormatted  27.7-23  PrintFormattingStatus  10.4-8  PrintObj  6.3-5  PrintString  27.7-5  PrintTo  9.7-3  PrintToFormatted  27.7-23  ProbabilityShapes  66.11-4  Process  11.1-1  PROD_GF2MAT_GF2MAT_ADVANCED  24.16-2  PROD_GF2MAT_GF2MAT_SIMPLE  24.16-1  Product  21.20-25  ProductCoeffs  23.7-2  ProductOfStraightLinePrograms  37.8-13  ProductSpace  62.9-3  ProductX  21.21-4  ProfileFunctions  7.8-5  ProfileGlobalFunctions  7.8-2  ProfileLineByLine  7.8-14  ProfileMethods  7.8-7  ProfileOperations  7.8-3  ProfileOperationsAndMethods  7.8-4  ProjectedInducedPcgs  45.10-2  ProjectedPcElement  45.10-1  Projection, example for direct products  49.1-1  Projection, for a domain  32.2-12  ProjectionMap  73.5-3  ProjectiveActionHomomorphismMatrixGroup  44.3-2  ProjectiveActionOnFullSpace  44.3-1  ProjectiveGeneralLinearGroup  50.2-11  ProjectiveGeneralUnitaryGroup  50.2-13  ProjectiveOmega  50.2-16  ProjectiveOrder  24.14-3  ProjectiveSpecialLinearGroup  50.2-12  ProjectiveSpecialUnitaryGroup  50.2-14  ProjectiveSymplecticGroup  50.2-15  PRump  39.12-12  PseudoRandom  30.7-2  PSL  50.2-12  PSp  50.2-15  PSP  50.2-15  PSU  50.2-14  PthPowerImage, for basis and element  64.8-3  PthPowerImages  64.8-2  PurePadicNumberFamily  68.1-1  PushOptions  8.1-1  PValuation  15.7-1  Quadratic  18.5-4  QuaternionAlgebra  62.5-1  QuaternionGenerators  50.1-9  QuaternionGroup  50.1-8  QUIET  77.4  QUIT  6.7-1  QUIT, emergency quit  6.7-1  QUIT_GAP  6.7-3  QUITTING  6.7-5  QuoInt  14.3-1  Quotient  56.1-9  QuotientFromSCTable  62.4-8  QuotientMod  56.7-8  QuotientPolynomialsExtRep  66.23-3  QuotientRemainder  56.6-5  QuotientSemigroupCongruence  51.7-3  QuotientSemigroupHomomorphism  51.7-3  QuotientSemigroupPreimage  51.7-3  QuotRemLaurpols  66.5-6  RadicalGroup  39.12-9  RadicalOfAlgebra  62.9-16  Random  30.7-1  RandomBinaryRelationOnPoints  33.3-2  RandomInvertibleMat  24.6-2  RandomIsomorphismTest  46.10-1  Randomize, for a matrix object  26.4-9  RandomList  30.7-3  RandomMat  24.6-1  RandomPartialPerm, for a positive integer  54.2-7  RandomPrimitivePolynomial  59.5-3  RandomSource  14.7-5  RandomTransformation  53.2-7  RandomUnimodularMat  24.6-3  Range, of a general mapping  32.3-7  RankAction, for a group, an action domain, etc.  41.10-3  RankFilter  13.2-1  RankMat  24.7-1  RankOfPartialPerm  54.3-3  RankOfPartialPermCollection  54.3-3  RankOfPartialPermSemigroup  54.7-2  RankOfTransformation, for a transformation and a list  53.5-4  RankPGroup  39.15-23  Rat  17.2-6  RationalCanonicalFormTransform  24.13-2  RationalClass  39.10-6  RationalClasses  39.10-7  RationalFunctionByExtRep  66.22-1  RationalFunctionByExtRepNC  66.22-1  RationalFunctionByExtRepWithCancellation  66.24-1  RationalFunctionsFamily  66.19-1  RationalizedMat  18.5-6  Rationals  17.1-1  RClassOfHClass  51.8-5  Read  9.7-1  read.g, for a GAP package  76.5  ReadAll  10.3-5  ReadAllLine  10.8-3  ReadAsFunction  9.7-2  ReadByte  10.3-3  ReadCommandLineHistory  6.9-3  ReadCSV  10.11-1  ReadLine  10.3-4  ReadlineInitLine  6.9-1  README, for a GAP package  76.5  ReadPackage  76.3-1  ReadPkg  77.2  RealClasses  71.9-11  RealizableBrauerCharacters  72.15-4  RealPart  18.5-2  RecNames  29.1-2  RedispatchOnCondition  78.6-1  ReduceCoeffs  23.7-3  ReduceCoeffsMod  23.7-4  ReducedAdditiveInverse  38.2-1  ReducedCharacters  72.10-2  ReducedClassFunctions  72.10-1  ReducedComm  38.2-1  ReducedConfluentRewritingSystem  52.5-1  ReducedConjugate  38.2-1  ReducedDifference  38.2-1  ReducedForm  38.1-4  ReducedGroebnerBasis, for a list and a monomial ordering  66.18-2  ReducedInverse  38.2-1  ReducedLeftQuotient  38.2-1  ReducedOne  38.2-1  ReducedPcElement  45.5-10  ReducedPower  38.2-1  ReducedProduct  38.2-1  ReducedQuotient  38.2-1  ReducedScalarProduct  38.2-1  ReducedSum  38.2-1  ReducedZero  38.2-1  ReduceRules  38.1-8  ReduceStabChain  43.11-5  Ree  50.1-15  ReeGroup  50.1-15  ReesCongruenceOfSemigroupIdeal  51.5-2  ReesMatrixSemigroup  51.9-1  ReesMatrixSemigroupElement  51.9-5  ReesMatrixSubsemigroup  51.9-2  ReesZeroMatrixSemigroup  51.9-1  ReesZeroMatrixSemigroupElement  51.9-5  ReesZeroMatrixSubsemigroup  51.9-2  RefinedPcGroup  46.4-9  ReflectionMat  24.5-9  ReflexiveClosureBinaryRelation  33.4-1  RegularActionHomomorphism  41.8-2  RegularModule  71.15-3  RelationsOfFpMonoid  52.4-5  RelationsOfFpSemigroup  52.4-5  RelativeBasis  61.5-4  RelativeBasisNC  61.5-4  RelativeDiameter  19.5-5  RelativeOrderOfPcElement  45.5-1  RelativeOrders  45.4-1  RelativeOrders, of a pcgs  45.4-1  RelatorsOfFpGroup  47.4-3  RemInt  14.3-3  Remove  21.4-3  RemoveCharacters  27.7-19  RemoveFile  9.7-8  RemoveOuterCoeffs  23.5-4  RemoveRelator  48.5-4  RemoveSet  21.19-5  RemoveStabChain  43.11-6  repeat loop  4.19  ReplacedString  27.7-16  RepresentationsOfObject  13.4-3  Representative  30.4-7  RepresentativeAction  41.6-1  RepresentativeLinearOperation  62.10-13  RepresentativeOperation  77.1  RepresentativesContainedRightCosets  39.9-2  RepresentativesFusions  73.4-2  RepresentativeSmallest  30.4-8  RepresentativesMinimalBlocks, for a group, an action domain, etc.  41.11-3  RepresentativesPerfectSubgroups  39.20-10  RepresentativesPowerMaps  73.2-2  RepresentativesSimpleSubgroups  39.20-10  RepresentativeTom  70.10-4  RepresentativeTomByGenerators  70.10-4  RepresentativeTomByGeneratorsNC  70.10-4  RequirePackage  77.2  Reread  9.7-10  REREADING  9.7-10  RereadPackage  76.3-1  RereadPkg  77.2  Reset  14.7-3  ResetFilterObj  13.8-4  ResetMethodReordering  78.8-2  ResetOptionsStack  8.1-3  RespectsAddition  32.10-1  RespectsAdditiveInverses  32.10-2  RespectsInverses  32.9-3  RespectsMultiplication  32.9-1  RespectsOne  32.9-2  RespectsScalarMultiplication  32.11-1  RespectsZero  32.10-3  RestrictedClassFunction  72.9-1  RestrictedClassFunctions  72.9-2  RestrictedInverseGeneralMapping  32.2-4  RestrictedLieAlgebraByStructureConstants  64.2-2  RestrictedMapping  32.2-13  RestrictedPartialPerm  54.2-3  RestrictedPartitions  16.2-25  RestrictedPerm  42.5-4  RestrictedPermNC  42.5-4  RestrictedTransformation  53.3-2  RestrictOutputsOfSLP  37.8-9  Resultant  66.6-7  ResultOfStraightLineProgram  37.8-5  ResumeMethodReordering  78.8-2  return  6.4-2  ReturnFail  5.4-3  ReturnFalse  5.4-2  ReturnFirst  5.4-5  ReturnNothing  5.4-4  ReturnTrue  5.4-1  Reversed  21.20-7  ReverseNaturalPartialOrder  54.7-5  RewindStream  10.3-8  RewriteWord  47.9-4  RightActingAlgebra  62.11-12  RightActingRingOfIdeal  56.2-10  RightAlgebraModule  62.11-5  RightAlgebraModuleByGenerators  62.11-2  RightCoset  39.7-1  RightCosets  39.7-2  RightCosetsNC  39.7-2  RightDerivations  64.2-6  RightIdeal  56.2-1  RightIdealByGenerators  56.2-6  RightIdealNC  56.2-2  RightModuleByHomomorphismToMatAlg  62.11-18  RightOne, for a partial perm  54.3-21  RightShiftRowVector  23.5-2  RightTransversal  39.8-1  Ring, for a collection  56.1-2  RingByGenerators  56.1-4  RingByStructureConstants  56.9-6  RingGeneralMappingByImages  56.8-1  RingHomomorphismByImages  56.8-2  RingHomomorphismByImagesNC  56.8-3  RingWithOne, for a collection  56.3-2  RingWithOneByGenerators  56.3-3  RNamObj, for a positive integer  29.7-2  RootInt  14.2-9  RootMod  15.4-3  RootOfDefiningPolynomial  58.2-8  RootsMod  15.4-4  RootsOfPolynomial  66.5-4  RootsOfUPol  66.5-5  RootsUnityMod  15.4-5  RootSystem  64.6-5  Round  19.2-10  RoundCyc  18.1-9  Rows  51.9-9  RREF  24.7-2  Rules  38.1-2  Runtime  7.6-2  Runtimes  7.6-1  SameBlock  71.11-2  SaveCommandLineHistory  6.9-3  SaveOnExitFile  6.7-6  SaveWorkspace  3.3-1  ScalarProduct, for characters  72.8-5  SchurCover  39.24-2  SchurCoverOfSymmetricGroup  39.24-10  Sec  19.2-10  Sech  19.2-10  SecHMSM  27.10-8  SecondsDMYhms  27.10-10  SeekPositionStream  10.3-9  SemidirectProduct, for a group of automorphisms and a group  49.2-1  SemiEchelonBasis  61.9-8  SemiEchelonBasisNC  61.9-8  SemiEchelonMat  24.10-1  SemiEchelonMatDestructive  24.10-2  SemiEchelonMats  24.10-4  SemiEchelonMatsDestructive  24.10-5  SemiEchelonMatTransformation  24.10-3  Semigroup, for a list  51.1-2  SemigroupByGenerators  51.1-5  SemigroupByMultiplicationTable  51.1-11  SemigroupIdealByGenerators  51.5-1  SemigroupOfRewritingSystem  52.5-4  SemiSimpleType  64.6-1  Set  30.3-7  SetAllBlist  22.4-6  SetAssertionLevel  7.5-1  SetCommutator  46.4-4  SetConjugate  46.4-3  SetCrystGroupDefaultAction  44.7-2  SetCyclotomicsLimit  18.6-1  SetDefaultInfoOutput  7.4-7  SetElmWPObj  86.2-1  SetEntrySCTable  62.4-4  SetFilterObj  13.8-3  SetFloats  19.2-4  SetGasmanMessageStatus  7.12-2  SetHelpViewer  2.3-1  SetIndeterminateName  66.1-4  SetInfoHandler  7.4-7  SetInfoLevel  7.4-3  SetInfoOutput  7.4-7  SetName  12.8-1  SetNameObject  6.3-7  SetPackagePath  76.2-3  SetParent  31.7-1  SetPower  46.4-5  SetPrintFormattingStatus  10.4-8  SetRecursionTrapInterval  7.11-1  SetReducedMultiplication  47.3-4  Setter  13.6-2  SetUserPreference  3.2-3  SetX  21.21-2  ShallowCopy  12.7-1  ShallowCopy, for lists  21.7  ShiftedCoeffs  23.7-6  ShiftedPadicNumber  68.1-4  ShortestVectors  25.6-2  ShortLexLeqPartialPerm  54.5-5  ShortLexOrdering  34.4-6  ShowAdditionTable  55.4-2  ShowArgument  7.1-2  ShowArguments  7.1-1  ShowDeclarationsOfOperation  78.1-3  ShowDetails  7.1-3  ShowGcd  56.7-5  ShowImpliedFilters  13.2-4  ShowMethods  7.1-4  ShowMultiplicationTable  55.4-2  ShowOtherMethods  7.1-5  ShowPackageVariables  76.3-15  ShowPackageVariables  76.10  ShowUsedInfoClasses  7.4-5  ShowUserPreferences  3.2-3  ShrinkAllocationPlist  21.9-1  ShrinkAllocationString  27.4-5  ShrinkRowVector  23.5-3  Shuffle  21.20-8  SiftedPcElement  45.5-8  SiftedPermutation  43.10-12  SiftedVector  61.9-12  Sigma  15.5-1  SigmaL  50.2-10  SignBit  19.2-8  SignFloat  19.2-8  SignInt  14.2-7  SignPartition  16.2-27  SignPerm  42.4-1  SimpleGroup  39.15-13  SimpleGroupsIterator  39.15-14  SimpleLieAlgebra  64.2-7  SimpleSystem  64.6-11  SimplexMethod  24.18-1  SimplifiedFpGroup  48.1-6  SimplifyPresentation  48.6-2  SimultaneousEigenvalues  24.14-4  Sin  19.2-10  SinCos  19.2-10  SingleCollector  46.4-2  Sinh  19.2-10  SIntChar  27.8-3  Size  30.4-6  Size, for groups with pcgs  45.16  SizeBlist  22.2-3  SizeConsiderFunction  39.21-4  SizeNumbersPerfectGroups  50.6-6  SizeOfFieldOfDefinition  72.15-3  SizesCentralisers  71.9-2  SizesCentralizers  71.9-2  SizesConjugacyClasses  71.9-3  SizeScreen  6.12-1  SizesPerfectGroups  50.6-1  SizeStabChain  43.10-3  SL, for dimension and a field size  50.2-2  Sleep  7.6-5  SlotUsagePattern  37.8-14  SmallerDegreePermutationRepresentation  43.3-2  SmallestGeneratorPerm  42.2-3  SmallestIdempotentPower, for a partial perm  54.3-17  SmallestImageOfMovedPoint, for a partial permutation  54.3-14  SmallestMovedPoint, for a list or collection of permutations  42.3-1  SmallestRootInt  14.2-10  SmallGeneratingSet  39.22-4  SmallRing  56.9-1  SmallSimpleGroup  39.15-15  SmithNormalFormIntegerMat  25.2-6  SmithNormalFormIntegerMatTransforms  25.2-7  SMTX.AbsoluteIrreducibilityTest  69.12-8  SMTX.AlgEl  69.13-2  SMTX.AlgElCharPol  69.13-4  SMTX.AlgElCharPolFac  69.13-5  SMTX.AlgElMat  69.13-3  SMTX.AlgElNullspaceDimension  69.13-7  SMTX.AlgElNullspaceVec  69.13-6  SMTX.CentMat  69.13-8  SMTX.CentMatMinPoly  69.13-9  SMTX.CompleteBasis  69.12-11  SMTX.Getter  69.12-6  SMTX.GoodElementGModule  69.12-2  SMTX.IrreducibilityTest  69.12-7  SMTX.MatrixSum  69.12-10  SMTX.MinimalSubGModule  69.12-9  SMTX.MinimalSubGModules  69.12-4  SMTX.RandomIrreducibleSubGModule  69.12-1  SMTX.Setter  69.12-5  SMTX.SortHomGModule  69.12-3  SMTX.Subbasis  69.13-1  SO  50.2-7  Socle  39.12-10  SocleTypePrimitiveGroup  43.5-2  SolutionIntMat  25.1-2  SolutionMat  24.7-6  SolutionMatDestructive  24.7-7  SolutionNullspaceIntMat  25.1-3  SolvableQuotient, for a f.p. group and a list of primes  47.14-5  Sort  21.18-1  SortBy  21.18-1  SortedCharacters  71.21-2  SortedCharacterTable, relative to the table of a factor group  71.21-4  SortedList  30.3-6  SortedSparseActionHomomorphism  41.7-3  SortedTom  70.5-1  Sortex  21.18-3  SortingPerm  21.18-4  SortParallel  21.18-2  Source  32.3-8  SourceOfIsoclinicTable  71.20-4  Sp, for dimension and a ring  50.2-5  SP, for dimension and a ring  50.2-5  Sp, for dimension and field size  50.2-5  SparseActionHomomorphism  41.7-3  SparseCartanMatrix  64.7-2  SparseHashTable  28.7-1  SparseIntKey  28.5-2  SpecialLinearGroup, for dimension and a field size  50.2-2  SpecialOrthogonalGroup  50.2-7  SpecialPcgs, for a group  45.13-2  SpecialSemilinearGroup  50.2-10  SpecialUnitaryGroup  50.2-4  SplitCharacters  71.17-7  SplitExtension  46.8-6  SplitString  27.7-15  SplittingField  66.4-13  SQ, synonym of SolvableQuotient  47.14-5  Sqrt  31.12-5  Square  19.2-10  SquareRoots  35.4-12  SSortedList  30.3-7  StabChain, for a group (and a record)  43.8-1  StabChainBaseStrongGenerators  43.8-4  StabChainImmutable  43.8-1  StabChainMutable, for a group  43.8-1  StabChainOp  43.8-1  StabChainOptions  43.8-2  Stabilizer  41.5-2  StabilizerOfExternalSet  41.12-10  StabilizerPcgs  45.15-1  StableSort  21.18-1  StableSortBy  21.18-1  StableSortParallel  21.18-2  StandardAssociate  56.5-5  StandardAssociateUnit  56.5-6  StandardizeTable  47.7-2  StandardWreathProduct  49.4-1  StarCyc  18.5-3  START_TEST  7.10-1  StartlineFunc  5.1-5  StartsWith  27.7-22  State  14.7-3  Stirling1  16.1-5  Stirling2  16.1-6  STOP_TEST  7.10-1  StoredGroebnerBasis  66.18-3  StoreFusion  73.3-4  StraightLineProgElm  37.9-2  StraightLineProgGens  37.9-3  StraightLineProgram, for a list of lines (and the number of generators)  37.8-2  StraightLineProgramNC, for a list of lines (and the number of generators)  37.8-2  StraightLineProgramsTom  70.10-2  StreamsFamily  10.1-9  StretchImportantSLPElement  37.9-5  String  27.7-6  StringDate  27.10-6  StringFactorizationWord  47.2-4  StringFormatted  27.7-23  StringNumbers  27.7-25  StringOfMemoryAmount  27.7-26  StringOfResultOfStraightLineProgram  37.8-6  StringPP  27.7-9  StringTime  27.10-9  StripLineBreakCharacters  27.7-7  StrongGeneratorsStabChain  43.10-4  StronglyConnectedComponents  33.4-5  StructByGenerators  31.3  StructuralCopy  12.7-2  StructuralCopy, for lists  21.7  StructureConstantsTable  62.4-2  StructureDescription  39.6-1  StructWithGenerators  31.3  SU  50.2-4  SubadditiveGroup  55.2-9  SubadditiveGroupNC  55.2-9  SubadditiveMagma  55.2-7  SubadditiveMagmaNC  55.2-7  SubadditiveMagmaWithZero  55.2-8  SubadditiveMagmaWithZeroNC  55.2-8  Subalgebra  62.6-1  SubAlgebraModule  62.11-16  SubalgebraNC  62.6-2  SubalgebraWithOne  62.6-3  SubalgebraWithOneNC  62.6-4  SubdirectProduct  49.3-1  SubdirectProducts  49.3-2  Subfield  58.2-1  SubfieldNC  58.2-1  Subfields  58.2-10  Subgroup  39.3-1  SubgroupByPcgs  45.7-9  SubgroupByProperty  39.3-11  SubgroupNC  39.3-1  SubgroupOfWholeGroupByCosetTable  47.8-2  SubgroupOfWholeGroupByQuotientSubgroup  47.13-1  SubgroupProperty  43.12-1  SubgroupShell  39.3-12  SubgroupsSolvableGroup  39.21-3  Submagma  35.2-7  SubmagmaNC  35.2-7  SubmagmaWithInverses  35.2-9  SubmagmaWithInversesNC  35.2-9  SubmagmaWithOne  35.2-8  SubmagmaWithOneNC  35.2-8  Submodule  57.2-1  SubmoduleNC  57.2-2  Submonoid  51.2-3  SubmonoidNC  51.2-3  SubnearAdditiveGroup  55.2-9  SubnearAdditiveGroupNC  55.2-9  SubnearAdditiveMagma  55.2-7  SubnearAdditiveMagmaNC  55.2-7  SubnearAdditiveMagmaWithZero  55.2-8  SubnearAdditiveMagmaWithZeroNC  55.2-8  SubnormalSeries  39.17-4  Subring  56.1-7  SubringNC  56.1-7  Subrings  56.9-3  SubringWithOne  56.3-5  SubringWithOneNC  56.3-5  Subsemigroup  51.1-3  SubsemigroupNC  51.1-3  Subspace  61.2-2  SubspaceNC  61.2-2  Subspaces  61.4-1  SubstitutedWord, replace a subword by a given word  37.4-5  SubsTom  70.7-1  Substruct  31.8  SubstructNC  31.8  SubSyllables  37.5-4  SubtractBlist  22.4-4  SubtractSet  21.19-8  Subword  37.4-3  Successors  33.2-9  Sum  21.20-26  SumFactorizationFunctionPcgs  45.12-1  SumIntersectionMat  24.11-4  SumX  21.21-3  Sup  19.5-1  SupersolvableResiduum  39.12-11  SupportedCharacterTableInfo  71.3-4  SurjectiveActionHomomorphismAttr  41.12-17  SuspendMethodReordering  78.8-2  SuzukiGroup  50.1-14  SylowComplement  39.13-2  SylowSubgroup  39.13-1  SylowSystem  39.13-4  SymmetricClosureBinaryRelation  33.4-2  SymmetricGroup, for a degree  50.1-12  SymmetricInverseMonoid  54.7-3  SymmetricInverseSemigroup  54.7-3  SymmetricParentGroup  43.4-4  SymmetricParts  72.11-2  SymmetricPowerOfAlgebraModule  64.15-3  Symmetrizations  72.11-1  SymplecticComponents  72.11-5  SymplecticGroup, for dimension and a ring  50.2-5  SyntaxTree  4.25-1  sysinfo.gap  76.14-1  Sz  50.1-14  TableAutomorphisms  71.22-2  TableOfMarks, for a group  70.3-1  TableOfMarksByLattice  70.3-2  TableOfMarksComponents  70.6-4  TableOfMarksCyclic  70.12-1  TableOfMarksDihedral  70.12-2  TableOfMarksFamily  70.6-3  TableOfMarksFrobenius  70.12-3  Tan  19.2-10  Tanh  19.2-10  Tau  15.5-2  TCENUM  47.6-5  TeachingMode  6.13-1  TemporaryGlobalVarName  77.4  Tensored  72.8-20  TensorProductGModule  69.2-2  TensorProductOfAlgebraModules, for a list of algebra modules  64.15-1  Test  7.10-2  TestConsistencyMaps  73.5-12  TestDirectory  7.10-3  Tester  13.6-1  TestHomogeneous  75.3-1  TestInducedFromNormalSubgroup  75.3-4  TestJacobi  62.4-6  TestMonomial, for a character  75.4-1  TestMonomialQuick, for a character  75.4-4  TestMonomialUseLattice  75.4-2  TestPackage  76.3-5  TestPackageAvailability  76.3-2  TestPerm1  72.14-2  TestPerm2  72.14-2  TestPerm3  72.14-2  TestPerm4  72.14-2  TestPerm5  72.14-2  TestQuasiPrimitive  75.3-3  TestRelativelySM, for a character  75.4-6  TestSubnormallyMonomial, for a character  75.4-5  then  4.17  TietzeWordAbstractWord  48.3-1  time  6.1  time  7.6-4  TotalMemoryAllocated  7.7-1  Trace, for a field element  58.3-5  TraceAllMethods  7.3-2  TracedCosetFpGroup  47.6-2  TraceImmediateMethods  7.3-5  TraceMat  24.4-3  TraceMethods, for a list of operations  7.3-1  TracePolynomial  58.3-3  TransferDiagram  73.5-11  Transformation, for a list and function  53.2-1  TransformationByImageAndKernel, for an image and kernel  53.2-3  TransformationFamily  53.1-3  TransformationList, for an image list  53.2-1  TransformationListList, for a source and destination  53.2-2  TransformationNumber  53.2-6  TransformationOp  53.2-5  TransformationOpNC  53.2-5  TransformingPermutations  71.22-3  TransformingPermutationsCharacterTables  71.22-4  TransitiveClosureBinaryRelation  33.4-3  Transitivity, for a character  72.8-16  TranslatorSubalgebra  62.11-24  TransposedMat  24.5-6  TransposedMatAttr  24.5-6  TransposedMatDestructive  24.5-7  TransposedMatImmutable  24.5-6  TransposedMatMutable  24.5-6  TransposedMatOp  24.5-6  TransposedMatrixGroup  44.2-4  TriangulizedIntegerMat  25.2-1  TriangulizedIntegerMatTransform  25.2-2  TriangulizedMat  24.7-2  TriangulizedNullspaceMat  24.7-4  TriangulizedNullspaceMatDestructive  24.7-5  TriangulizeIntegerMat  25.2-3  TriangulizeMat  24.7-3  TrimPartialPerm  54.5-6  TrimTransformation  53.5-23  TrivialCharacter, for a character table  72.7-1  TrivialGroup  50.1-1  TrivialIterator  30.8-7  TrivialSubalgebra  62.6-5  TrivialSubgroup  39.12-1  TrivialSubmagmaWithOne  35.4-13  TrivialSubmodule  57.2-4  TrivialSubmonoid  51.2-8  TrivialSubnearAdditiveMagmaWithZero  55.3-6  TrivialSubspace  61.3-2  Trunc  19.2-10  TryCosetTableInWholeGroup  47.8-1  TryGcdCancelExtRepPolynomials  66.24-2  TryNextMethod  78.5-1  Tuples  16.2-8  TwoClosure  43.12-3  TwoCoboundaries  46.8-1  TwoCocycles  46.8-2  TwoCohomology  46.8-3  TwoCohomologyGeneric  39.25-1  TwoSidedIdeal  56.2-1  TwoSidedIdealByGenerators  56.2-4  TwoSidedIdealNC  56.2-2  TwoSquares  15.7-2  TypeObj  13.9-1  TypeOfDefaultGeneralMapping  32.14-7  TypeOfOperation  78.1-2  TzEliminate, for a presentation (and a generator)  48.7-1  TzFindCyclicJoins  48.7-4  TzGo  48.6-1  TzGoGo  48.6-3  TzImagesOldGens  48.9-3  TzInitGeneratorImages  48.9-1  TzNewGenerator  48.5-2  TzOptions  48.11-1  TzPreImagesNewGens  48.9-4  TzPrint  48.4-6  TzPrintGeneratorImages  48.9-5  TzPrintGenerators  48.4-1  TzPrintLengths  48.4-3  TzPrintOptions  48.11-2  TzPrintPairs  48.4-7  TzPrintPresentation  48.4-5  TzPrintRelators  48.4-2  TzPrintStatus  48.4-4  TzSearch  48.7-2  TzSearchEqual  48.7-3  TzSort  48.1-2  TzSubstitute, for a presentation (and an integer and 0/1/2)  48.8-1  TzSubstituteCyclicJoins  48.8-2  UglyVector  61.11-2  Unbind, unbind a list entry  21.5-3  Unbind\.  29.7-3  Unbind\[\]  21.2-1  UnbindElmWPObj  86.2-1  UnbindGlobal  4.9-7  UnbindInfoOutput  7.4-7  UncoverageLineByLine  7.8-17  UnderlyingCharacteristic, for a character  71.9-5  UnderlyingCharacterTable  72.2-1  UnderlyingElement, fp group elements  47.4-4  UnderlyingExternalSet  41.12-16  UnderlyingFamily  64.1-4  UnderlyingGeneralMapping  32.3-10  UnderlyingGroup, for character tables  71.6-1  UnderlyingInjectionZeroMagma  35.2-14  UnderlyingLeftModule  61.6-2  UnderlyingLieAlgebra  64.6-6  UnderlyingMagma  65.1-6  UnderlyingRelation  32.3-9  UnderlyingRingElement  64.1-5  UnderlyingSemigroup, for a Rees 0-matrix semigroup  51.9-10  UnInstallCharReadHookFunc  10.10-2  Union, for a list  30.5-3  Union2  30.5-3  UnionBlist, for a list  22.3-1  Unique  21.20-4  UniteBlist  22.4-1  UniteBlistList  22.4-2  UniteSet  21.19-6  Units  56.5-2  UnivariatenessTestRationalFunction  66.5-7  UnivariatePolynomial  66.5-1  UnivariatePolynomialByCoefficients  66.5-2  UnivariatePolynomialRing, for a ring (and a name and an exclusion list)  66.16-1  UnivariateRationalFunctionByCoefficients  66.14-1  UniversalEnvelopingAlgebra  64.10-1  UNIXSelect  10.2-3  Unknown  74.1-1  UnorderedTuples  16.2-6  Unpack, for IsVectorObj  26.4-4  UnprofileFunctions  7.8-6  UnprofileLineByLine  7.8-16  UnprofileMethods  7.8-8  until  4.19  UntraceAllMethods  7.3-4  UntraceImmediateMethods  7.3-5  UntraceMethods, for a list of operations  7.3-3  UpdateMap  73.5-7  UpEnv  6.5-1  UppercaseChar  27.7-14  UppercaseString  27.7-13  UpperCentralSeriesOfGroup  39.17-12  UpperSubdiagonal  24.12-2  UseBasis  57.3-5  UseFactorRelation  31.13-2  UseIsomorphismRelation  31.13-3  UserHomeExpand  9.7-9  UserPreference  3.2-3  UseSubsetRelation  31.13-1  ValidatePackageInfo  76.3-14  ValidatePackageInfo  76.9  Valuation  68.1-3  Value, for a univariate rat. function, a value (and a one)  66.7-1  ValueCochain  64.12-4  ValueGlobal  4.9-5  ValueMolienSeries  72.12-3  ValueOption  8.1-5  ValuePol  23.7-1  ValuesOfClassFunction  72.2-2  VectorSpace  61.2-1  VectorSpaceByPcgsOfElementaryAbelianGroup  45.14-1  vi  6.11  View  6.3-3  ViewObj  6.3-5  ViewString  27.7-3  vim  6.11  VirtualCharacter, for a character table and a list  72.6-2  WeakPointerObj  86.1-1  WedgeGModule  69.2-3  WeekDay  27.10-5  WeightLexOrdering  34.4-8  WeightOfGenerators  34.4-10  WeightOfVector, for IsVectorObj  26.4-10  WeightsTom  70.7-12  WeightVecFFE  23.6-1  WeylGroup  64.7-3  WeylOrbitIterator  64.7-7  Where  6.4-5  WhereWithVars  6.4-5  while loop  4.18  WordAlp  27.7-10  WreathProduct  49.4-1  WreathProductImprimitiveAction  49.4-2  WreathProductOrdering  34.4-13  WreathProductProductAction  49.4-3  WriteAll  10.4-3  WriteByte  10.4-1  WriteGapIniFile  3.2-3  WriteLine  10.4-2  X, for a family and a number  66.1-1  Z, for field size  59.1-2  ZClassRepsQClass  44.6-9  Zero  31.10-3  ZeroAttr  31.10-3  ZeroCoefficient  65.2-5  ZeroCoefficientRatFun  66.21-4  ZeroImmutable  31.10-3  ZeroMapping  32.2-9  ZeroMutable  31.10-3  ZeroOp  31.10-3  ZeroSameMutability  31.10-3  ZeroSM  31.10-3  ZeroVector, for IsInt,IsVectorObj  26.4-7  Zeta  19.2-10  ZippedProduct  66.23-2  ZippedSum  66.23-1  ZmodnZ  14.5-2  ZmodnZObj, for a residue class family and integer  14.5-3  ZmodpZ  14.5-2  ZmodpZNC  14.5-2  ZumbroichBase  60.3-1  Zuppos  39.20-12  
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