2CoreducedChainComplex    Examples: 
 
 AbelianGOuterGroupToCatOneGroup    Examples: 
 
 AbelianInvariantsToTorsionCoefficients    Examples: 
 
 AcyclicSubcomplexOfPureCubicalComplex    Examples: 
 
 AddCell    Examples: 
 
 AddFirst    Examples: 
 
 AdjointGroupOfQuandle    Examples: 1  
 
 AlgebraicReduction_alt    Examples: 
 
 AppendFreeWord    Examples: 
 
 ArcDiagramToTubularSurface    Examples: 
 
 ArcPresentation    Examples: 1 , 2 , 3  
 
 ArcPresentationToKnottedOneComplex    Examples: 
 
 AreIsoclinic    Examples: 
 
 ArrayIterateBreak    Examples: 
 
 ArrayValueKD    Examples: 
 
 AsWordInSL2Z    Examples: 1  
 
 AutomorphismGroupQuandleAsPerm_nonconnected    Examples: 
 
 AverageInnerProduct    Examples: 
 
 BarCodeOfFilteredPureCubicalComplex    Examples: 
 
 BarCodeOfSymmetricMatrix    Examples: 
 
 BarComplexOfMonoid    Examples: 1  
 
 BarycentricallySubdivideCell    Examples: 
 
 BettinumbersOfPureCubicalComplex_dim_2    Examples: 
 
 BocksteinHomology    Examples: 
 
 BogomolovMultiplier_viaTensorSquare    Examples: 
 
 BoundariesOfFilteredChainComplex    Examples: 
 
 BoundaryOfPureComplex    Examples: 1  
 
 BoundaryOfPureRegularCWComplex    Examples: 
 
 BoundaryOfRegularCWCell    Examples: 
 
 BoundaryPairOfPureRegularCWComplex    Examples: 
 
 BoundingPureComplex    Examples: 
 
 CR_ChainMapFromCocycle    Examples: 
 
 CR_CocyclesAndCoboundaries    Examples: 
 
 CR_IntegralClassToCocycle    Examples: 
 
 CR_IntegralCocycleToClass    Examples: 
 
 CR_IntegralCohomology    Examples: 
 
 CR_IntegralCycleToClass    Examples: 
 
 CWMap2ChainMap    Examples: 
 
 CWSubcomplexToRegularCWMap    Examples: 
 
 CanonicalRightCountableCosetElement    Examples: 
 
 CatOneGroupByCrossedModule    Examples: 1  
 
 CatOneGroupsByGroup    Examples: 1  
 
 CcElement    Examples: 
 
 Cedric_CheckThirdAxiomRow    Examples: 
 
 Cedric_ConjugateQuandleElement    Examples: 
 
 Cedric_FromAutGeReToAutQe    Examples: 
 
 Cedric_IsHomomorphism    Examples: 
 
 Cedric_Permute    Examples: 
 
 Cedric_Quandle1    Examples: 
 
 Cedric_Quandle2    Examples: 
 
 Cedric_Quandle3    Examples: 
 
 Cedric_Quandle4    Examples: 
 
 Cedric_Quandle5    Examples: 
 
 Cedric_Quandle6    Examples: 
 
 CellComplexBoundaryCheck    Examples: 
 
 ChainComplexEquivalenceOfRegularCWComplex    Examples: 1  
 
 ChainComplexOfCubicalComplex    Examples: 
 
 ChainComplexOfCubicalPair    Examples: 
 
 ChainComplexOfRegularCWComplexWithVectorField    Examples: 
 
 ChainComplexOfSimplicialComplex    Examples: 
 
 ChainComplexOfSimplicialPair    Examples: 
 
 ChainComplexOfUniversalCover    Examples: 1 , 2 , 3  
 
 ChainComplexToSparseChainComplex    Examples: 
 
 ChainMapOfCubicalPairs    Examples: 
 
 ChainMapOfRegularCWMap    Examples: 
 
 ChildRestart    Examples: 
 
 ClosureCWCell    Examples: 
 
 CoClass    Examples: 
 
 CocriticalCellsOfRegularCWComplex    Examples: 
 
 CocyclicHadamardMatrices    Examples: 1  
 
 CocyclicMatrices    Examples: 
 
 CohomologyHomomorphism    Examples: 1 , 2 , 3  
 
 CohomologyHomomorphismOfRepresentation    Examples: 
 
 CohomologyModule_AsAutModule    Examples: 
 
 CohomologyModule_Gmap    Examples: 
 
 CohomologyRingOfSimplicialComplex    Examples: 
 
 CohomologySimplicialFreeAbelianGroup    Examples: 
 
 CombinationDisjointSets    Examples: 
 
 CommonEndomorphisms    Examples: 
 
 ComplementOfPureComplex    Examples: 1  
 
 ComplementaryBasis    Examples: 
 
 CompositionOfFpGModuleHomomorphisms    Examples: 
 
 CompositionSeriesOfFpGModule    Examples: 
 
 ConcentricallyFilteredPureCubicalComplex    Examples: 1  
 
 CongruenceSubgroup    Examples: 1 , 2  
 
 ConjugateSL2ZGroup    Examples: 
 
 ConnectingCohomologyHomomorphism    Examples: 1 , 2  
 
 ContractArray    Examples: 
 
 ContractCubicalComplex_dim2    Examples: 
 
 ContractCubicalComplex_dim3    Examples: 
 
 ContractMatrix    Examples: 
 
 ContractPermArray    Examples: 
 
 ContractPermMatrix    Examples: 
 
 ContractPureComplex    Examples: 
 
 ContractSimplicialComplex    Examples: 
 
 ContractedFilteredPureCubicalComplex    Examples: 
 
 ContractedFilteredRegularCWComplex    Examples: 
 
 ContractedRegularCWComplex    Examples: 
 
 ContractibleSL2ZComplex    Examples: 
 
 ContractibleSL2ZComplex_alt    Examples: 
 
 ContractibleSubArray    Examples: 
 
 ContractibleSubMatrix    Examples: 
 
 ContractibleSubcomplexOfPureCubicalComplex    Examples: 1  
 
 ConvertTorsionComplexToGcomplex    Examples: 
 
 CosetsQuandle    Examples: 
 
 CountingCellsOfBaryCentricSubdivision    Examples: 
 
 CountingNumberOfCellsInBaryCentricSubdivision    Examples: 
 
 CoxeterComplex_alt    Examples: 1  
 
 CoxeterDiagramMatCoxeterGroup    Examples: 
 
 CoxeterWythoffComplex    Examples: 
 
 CreateCoxeterMatrix    Examples: 1  
 
 CriticalBoundaryCells    Examples: 1  
 
 CropPureComplex    Examples: 
 
 CrossedInvariant    Examples: 
 
 CrossedModuleByAutomorphismGroup    Examples: 
 
 CrossedModuleByCatOneGroup    Examples: 
 
 CrossedModuleByNormalSubgroup    Examples: 1  
 
 CrystCubicalTiling    Examples: 
 
 CrystFinitePartOfMatrix    Examples: 
 
 CrystGFullBasis    Examples: 1 , 2  
 
 CrystGcomplex    Examples: 1 , 2  
 
 CrystMatrix    Examples: 
 
 CrystTranslationMatrixToVector    Examples: 
 
 CubicalToPermutahedralArray    Examples: 
 
 CupProductOfRegularCWComplex    Examples: 
 
 CuspidalCohomologyHomomorphism    Examples: 1  
 
 CyclesOfFilteredChainComplex    Examples: 
 
 DavisComplex    Examples: 1 , 2 , 3 , 4  
 
 DeformationRetract    Examples: 
 
 DensityMat    Examples: 
 
 DerivedGroupOfQuandle    Examples: 1  
 
 DirectProductOfRegularCWComplexes    Examples: 
 
 DisplayCSVknotFile    Examples: 
 
 E1CohomologyPage    Examples: 
 
 E1HomologyPage    Examples: 
 
 EilenbergMacLaneSimplicialFreeAbelianGroup    Examples: 1  
 
 ElementsLazy    Examples: 
 
 EquivariantCWComplexToRegularCWComplex    Examples: 1 , 2 , 3  
 
 EquivariantCWComplexToRegularCWMap    Examples: 1 , 2  
 
 EquivariantCWComplexToResolution    Examples: 
 
 ExcisedPureCubicalPair_dim_2    Examples: 
 
 ExtractTorsionSubcomplex    Examples: 
 
 FactorizationNParts    Examples: 
 
 FilteredChainComplexToFilteredSparseChainComplex    Examples: 
 
 FilteredCubicalComplexToFilteredRegularCWComplex    Examples: 
 
 FilteredPureCubicalComplexToCubicalComplex    Examples: 
 
 FiltrationTermOfGraph    Examples: 
 
 FiltrationTermOfPureCubicalComplex    Examples: 
 
 FiltrationTermOfRegularCWComplex    Examples: 
 
 FirstHomologyCoveringCokernels    Examples: 1 , 2  
 
 FirstHomologySimplicialTwoComplex    Examples: 
 
 FourthHomotopyGroupOfDoubleSuspensionB    Examples: 1  
 
 Fp2PcpAbelianGroupHomomorphism    Examples: 
 
 FpGModuleSection    Examples: 
 
 FreeZGResolution    Examples: 
 
 FundamentalGroupOfRegularCWComplex    Examples: 1  
 
 FundamentalGroupOfRegularCWMap    Examples: 
 
 FundamentalGroupSimplicialTwoComplex    Examples: 
 
 FundamentalMultiplesOfStiefelWhitneyClasses    Examples: 
 
 GChainComplex    Examples: 1  
 
 GModuleAsCatOneGroup    Examples: 
 
 GammaSubgroupInSL3Z    Examples: 
 
 GaussCodeOfPureCubicalKnot    Examples: 1 , 2 , 3 , 4  
 
 GetTorsionPowerSubcomplex    Examples: 
 
 GetTorsionSubcomplex    Examples: 
 
 GraphOfRegularCWComplex    Examples: 
 
 GraphOfResolutionsTest    Examples: 
 
 GraphOfResolutionsToGroups    Examples: 
 
 GroupHomomorphismToMatrix    Examples: 
 
 HAPCocontractRegularCWComplex    Examples: 
 
 HAPContractFilteredRegularCWComplex    Examples: 
 
 HAPContractRegularCWComplex    Examples: 
 
 HAPContractRegularCWComplex_Alt    Examples: 
 
 HAPPRIME_Algebra2Polynomial    Examples: 
 
 HAPPRIME_CohomologyRingWithoutResolution    Examples: 
 
 HAPPRIME_CombineIndeterminateMaps    Examples: 
 
 HAPPRIME_GradedAlgebraPresentationAvoidingIndeterminates    Examples: 
 
 HAPPRIME_LHSSpectralSequence    Examples: 
 
 HAPPRIME_MakeEliminationOrdering    Examples: 
 
 HAPPRIME_MapPolynomialIndeterminates    Examples: 
 
 HAPPRIME_Polynomial2Algebra    Examples: 
 
 HAPPRIME_RingHomomorphismsAreComposable    Examples: 
 
 HAPPRIME_SModule    Examples: 
 
 HAPPRIME_SingularGroebnerBasis    Examples: 
 
 HAPPRIME_SingularReducedGroebnerBasis    Examples: 
 
 HAPPRIME_SwitchGradedAlgebraRing    Examples: 
 
 HAPPRIME_SwitchPolynomialIndeterminates    Examples: 
 
 HAPPRIME_VersionWithSVN    Examples: 
 
 HAPRegularCWComplex    Examples: 
 
 HAPRegularCWPolytope    Examples: 
 
 HAPRemoveCellFromRegularCWComplex    Examples: 
 
 HAPRemoveVectorField    Examples: 
 
 HAPRingModIdeal    Examples: 
 
 HAPRingModIdealObj    Examples: 
 
 HAPTietzeReduction_Inf    Examples: 
 
 HAPTietzeReduction_OneLevel    Examples: 
 
 HAPTietzeReduction_OneStep    Examples: 
 
 HAP_4x4MatTo2x2Mat    Examples: 
 
 HAP_AddGenerator    Examples: 
 
 HAP_AppendTo    Examples: 
 
 HAP_BaryCentricSubdivisionGComplex    Examples: 
 
 HAP_BaryCentricSubdivisionRegularCWComplex    Examples: 
 
 HAP_Binlisttoint    Examples: 
 
 HAP_CocyclesAndCoboundaries    Examples: 
 
 HAP_CongruenceSubgroupGamma0    Examples: 1  
 
 HAP_CongruenceSubgroupGamma0Ideal    Examples: 
 
 HAP_CupProductOfPresentation    Examples: 
 
 HAP_CupProductOfSimplicialComplex    Examples: 
 
 HAP_ElementsSL2Zfn    Examples: 
 
 HAP_GenericSL2OSubgroup    Examples: 
 
 HAP_GenericSL2ZSubgroup    Examples: 
 
 HAP_HomToIntModP_ChainComplex    Examples: 
 
 HAP_HomToIntModP_ChainMap    Examples: 
 
 HAP_HomToIntModP_CochainComplex    Examples: 
 
 HAP_IntegralClassToCocycle    Examples: 
 
 HAP_IntegralCocycleToClass    Examples: 
 
 HAP_IntegralCohomology    Examples: 
 
 HAP_PHI    Examples: 
 
 HAP_PermBinlisttoint    Examples: 
 
 HAP_PrincipalCongruenceSubgroup    Examples: 1  
 
 HAP_PrincipalCongruenceSubgroupIdeal    Examples: 
 
 HAP_PrintTo    Examples: 
 
 HAP_PureComplexSubcomplex    Examples: 
 
 HAP_PureCubicalPairToCWMap    Examples: 
 
 HAP_ResolutionAbelianGroupFromInvariants    Examples: 
 
 HAP_RightTransversalSL2ZSubgroups    Examples: 
 
 HAP_SL2OSubgroupTree_slow    Examples: 
 
 HAP_SL2SubgroupTree    Examples: 
 
 HAP_SL2TreeDisplay    Examples: 1  
 
 HAP_SL2ZSubgroupTree_fast    Examples: 
 
 HAP_SL2ZSubgroupTree_slow    Examples: 
 
 HAP_Sequence2Boundaries    Examples: 
 
 HAP_SimplicialPairToCWMap    Examples: 
 
 HAP_SimplicialProjectivePlane    Examples: 
 
 HAP_SimplicialTorus    Examples: 
 
 HAP_StiefelWhitney    Examples: 
 
 HAP_Tensor    Examples: 
 
 HAP_TransversalCongruenceSubgroups    Examples: 
 
 HAP_TransversalCongruenceSubgroupsIdeal    Examples: 
 
 HAP_TransversalCongruenceSubgroupsIdeal_alt    Examples: 
 
 HAP_TransversalGamma0SubgroupsIdeal    Examples: 
 
 HAP_Triangulation    Examples: 
 
 HAP_TzPair    Examples: 
 
 HAP_WedgeSumOfSimplicialComplexes    Examples: 
 
 HAP_coho_isoms    Examples: 
 
 HAP_nxnMatTo2nx2nMat    Examples: 
 
 HadamardGraph    Examples: 
 
 HapExample    Examples: 
 
 HapFile    Examples: 1 , 2  
 
 HasTrivialPostnikovInvariant    Examples: 
 
 HeckeOperatorWeight2    Examples: 
 
 HenonOrbit    Examples: 1  
 
 HomToGModule_hom    Examples: 
 
 HomToInt_ChainComplex    Examples: 
 
 HomToInt_ChainMap    Examples: 
 
 HomToInt_CochainComplex    Examples: 
 
 HomogeneousPolynomials    Examples: 1  
 
 HomogeneousPolynomials_Bianchi    Examples: 
 
 HomologyOfPureCubicalComplex    Examples: 
 
 HomologyPbs    Examples: 
 
 HomologySimplicialFreeAbelianGroup    Examples: 
 
 HomomorphismAsMatrix    Examples: 1  
 
 HomotopyCatOneGroup    Examples: 
 
 HomotopyCrossedModule    Examples: 
 
 HomotopyEquivalentLargerSubArray    Examples: 
 
 HomotopyEquivalentLargerSubArray3D    Examples: 
 
 HomotopyEquivalentLargerSubMatrix    Examples: 
 
 HomotopyEquivalentLargerSubPermArray    Examples: 
 
 HomotopyEquivalentLargerSubPermArray3D    Examples: 
 
 HomotopyEquivalentLargerSubPermMatrix    Examples: 
 
 HomotopyEquivalentMaximalPureSubcomplex    Examples: 
 
 HomotopyEquivalentMinimalPureSubcomplex    Examples: 
 
 HomotopyEquivalentSmallerSubArray    Examples: 
 
 HomotopyEquivalentSmallerSubArray3D    Examples: 
 
 HomotopyEquivalentSmallerSubMatrix    Examples: 
 
 HomotopyEquivalentSmallerSubPermArray    Examples: 
 
 HomotopyEquivalentSmallerSubPermArray3D    Examples: 
 
 HomotopyEquivalentSmallerSubPermMatrix    Examples: 
 
 HomotopyLowerCentralSeries    Examples: 
 
 HomotopyLowerCentralSeriesOfCrossedModule    Examples: 
 
 HomotopyTruncation    Examples: 
 
 HopfSatohSurface    Examples: 1 , 2  
 
 HybridSubdivision    Examples: 
 
 IdCatOneGroup    Examples: 1 , 2  
 
 IdCrossedModule    Examples: 1  
 
 IdQuasiCatOneGroup    Examples: 1  
 
 IdQuasiCrossedModule    Examples: 
 
 IdentityAmongRelators    Examples: 1 , 2  
 
 ImageOfGOuterGroupHomomorphism    Examples: 1 , 2  
 
 ImageOfMap    Examples: 
 
 InducedSteenrodHomomorphisms    Examples: 
 
 IntegerSimplicialComplex    Examples: 
 
 IntegralCellularHomology    Examples: 
 
 IntegralCohomology    Examples: 
 
 IntegralCohomologyOfCochainComplex    Examples: 
 
 IntegralHomology    Examples: 1  
 
 IntegralHomologyOfChainComplex    Examples: 
 
 IntersectionCWSubcomplex    Examples: 
 
 IsContractibleCube_higherdims    Examples: 
 
 IsCrystSameOrbit    Examples: 
 
 IsCrystSufficientLattice    Examples: 
 
 IsHadamardMatrix    Examples: 
 
 IsIntList    Examples: 
 
 IsIsomorphismOfAbelianFpGroups    Examples: 1  
 
 IsMetricMatrix    Examples: 
 
 IsPureComplex    Examples: 
 
 IsPureRegularCWComplex    Examples: 
 
 IsRigid    Examples: 1  
 
 IsRigidOnRight    Examples: 
 
 IsSphericalCoxeterGroup    Examples: 
 
 IsoclinismClasses    Examples: 1 , 2  
 
 IsomorphismCatOneGroups    Examples: 1 , 2  
 
 IsomorphismCrossedModules    Examples: 
 
 KernelOfGOuterGroupHomomorphism    Examples: 1 , 2  
 
 KernelOfMap    Examples: 
 
 KernelWG    Examples: 
 
 KnotComplement    Examples: 1 , 2 , 3  
 
 KnotComplementWithBoundary    Examples: 1 , 2 , 3  
 
 LazyList    Examples: 
 
 LefschetzNumberOfChainMap    Examples: 
 
 Lfunction    Examples: 1  
 
 LiftColouredSurface    Examples: 
 
 LiftedRegularCWMap    Examples: 
 
 LinearHomomorphismsZZPersistenceMat    Examples: 
 
 ListsOfCellsToRegularCWComplex    Examples: 
 
 MakeHAPprimeDoc    Examples: 
 
 Mapper    Examples: 1  
 
 Mapper_alt    Examples: 
 
 MatrixSize    Examples: 
 
 MaximalSimplicesOfSimplicialComplex    Examples: 1  
 
 MaximalSphericalCoxeterSubgroupsFromAbove    Examples: 
 
 Mod2SteenrodAlgebra    Examples: 1  
 
 ModPCohomologyRing_part_1    Examples: 
 
 ModPCohomologyRing_part_2    Examples: 
 
 ModPRingGeneratorsAlt    Examples: 
 
 ModPSteenrodAlgebra    Examples: 1 , 2  
 
 ModularCohomology    Examples: 
 
 ModularEquivariantChainMap    Examples: 
 
 ModularHomology    Examples: 
 
 Nil3TensorSquare    Examples: 
 
 NonRegularCWBoundary    Examples: 
 
 NonabelianSymmetricKernel_alt    Examples: 1  
 
 NonabelianSymmetricSquare_inf    Examples: 
 
 NonabelianTensorProduct_Inf    Examples: 
 
 NonabelianTensorProduct_alt    Examples: 
 
 NonabelianTensorSquareAsCatOneGroup    Examples: 
 
 NonabelianTensorSquareAsCrossedModule    Examples: 1  
 
 NonabelianTensorSquare_inf    Examples: 
 
 NoncrossingPartitionsLatticeDisplay    Examples: 1  
 
 NullspaceSparseMatDestructive    Examples: 
 
 NumberConnectedQuandles    Examples: 
 
 NumberGeneratorsOfGroupHomology    Examples: 
 
 NumberOfHomomorphisms_connected    Examples: 
 
 NumberOfHomomorphisms_groups    Examples: 
 
 NumberOfPrimeKnots    Examples: 1 , 2  
 
 NumberSmallCatOneGroups    Examples: 
 
 NumberSmallCrossedModules    Examples: 
 
 NumberSmallQuasiCatOneGroups    Examples: 
 
 NumberSmallQuasiCrossedModules    Examples: 
 
 OppositeGroup    Examples: 
 
 OrthogonalizeBasisByAverageInnerProduct    Examples: 
 
 PCentre    Examples: 
 
 PUpperCentralSeries    Examples: 
 
 PartialIsoclinismClasses    Examples: 1  
 
 PartsOfQuadraticInteger    Examples: 
 
 PathComponentOfPureComplex    Examples: 
 
 PathComponentsCWSubcomplex    Examples: 
 
 PathComponentsOfSimplicialComplex_alt    Examples: 
 
 PathObjectForChainComplex    Examples: 
 
 PermutahedralComplexToRegularCWComplex    Examples: 1  
 
 PermutahedralToCubicalArray    Examples: 
 
 PersistentHomologyOfCrossedModule    Examples: 
 
 PersistentHomologyOfFilteredPureCubicalComplex_alt    Examples: 
 
 PersistentHomologyOfFilteredSparseChainComplex    Examples: 1  
 
 PersistentHomologyOfPureCubicalComplex_Alt    Examples: 
 
 PersistentHomologyOfQuotientGroupSeries_Int    Examples: 
 
 PiZeroOfRegularCWComplex    Examples: 
 
 PoincareSeriesApproximation    Examples: 
 
 PoincareSeries_alt    Examples: 
 
 PolymakeFaceLattice    Examples: 
 
 PolytopalRepresentationComplex    Examples: 
 
 PrankAlt    Examples: 
 
 PresentationOfResolution_alt    Examples: 
 
 PrimePartDerivedFunctorViaSubgroupChain    Examples: 
 
 PrintAlgebraWordAsPolynomial    Examples: 
 
 PrintTorsionSubcomplex    Examples: 
 
 PureComplex    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7  
 
 PureCubicalComplexToCubicalComplex    Examples: 1  
 
 PureCubicalLink    Examples: 1 , 2  
 
 PushoutOfFpGroups    Examples: 
 
 QuadraticCharacter    Examples: 
 
 QuadraticNumberField    Examples: 1  
 
 QuandleIsomorphismRepresentatives    Examples: 
 
 QuotientByTorsionSubcomplex    Examples: 
 
 QuotientGroup    Examples: 
 
 QuotientQuasiIsomorph    Examples: 
 
 RadicalSeriesOfResolution    Examples: 
 
 RandomCellOfPureComplex    Examples: 
 
 ReadMatrixAsPureCubicalComplex    Examples: 
 
 ReduceGenerators    Examples: 
 
 ReduceGenerators_alt    Examples: 
 
 ReflectedCubicalKnot    Examples: 1 , 2 , 3 , 4  
 
 RegularCWComplexComplement    Examples: 
 
 RegularCWMapToCWSubcomplex    Examples: 
 
 RegularCWOrbitPolytope    Examples: 
 
 RelativeCentralQuotientSpaceGroup    Examples: 
 
 RelativeGroupHomology    Examples: 
 
 ResolutionAbelianGroup_alt    Examples: 
 
 ResolutionAbelianPcpGroup    Examples: 
 
 ResolutionAffineCrystGroup    Examples: 
 
 ResolutionBoundaryOfWordOnRight    Examples: 
 
 ResolutionDirectProductLazy    Examples: 
 
 ResolutionFiniteCyclicGroup    Examples: 
 
 ResolutionGL2QuadraticIntegers    Examples: 1  
 
 ResolutionGL3QuadraticIntegers    Examples: 1  
 
 ResolutionGenericGroup    Examples: 
 
 ResolutionInfiniteCyclicGroup    Examples: 
 
 ResolutionPGL2QuadraticIntegers    Examples: 1  
 
 ResolutionPGL3QuadraticIntegers    Examples: 1  
 
 ResolutionPSL2QuadraticIntegers    Examples: 1  
 
 ResolutionPrimePowerGroupSparse    Examples: 
 
 ResolutionSL2QuadraticIntegers    Examples: 1  
 
 ResolutionSL2Z_alt    Examples: 1  
 
 ResolutionToEquivariantCWComplex    Examples: 
 
 ResolutionToResolutionOfFpGroup    Examples: 1  
 
 SL2QuadraticIntegers    Examples: 1  
 
 SL2ZResolution    Examples: 
 
 SL2ZResolution_alt    Examples: 
 
 SL2ZTree    Examples: 
 
 SL2ZmElementsDecomposition    Examples: 
 
 SignedPermutationGroup    Examples: 
 
 SimplicesToSimplicialComplex    Examples: 1 , 2 , 3 , 4 , 5  
 
 SimplicialK3Surface    Examples: 1  
 
 SimplicialNerveOfFilteredGraph    Examples: 1  
 
 SimplicialNerveOfTwoComplex    Examples: 
 
 SimplifiedQuandlePresentation    Examples: 
 
 SimplifiedRegularCWComplex    Examples: 1  
 
 SimplifiedSparseChainComplex    Examples: 
 
 SmallCatOneGroup    Examples: 1 , 2  
 
 SmallCrossedModule    Examples: 
 
 SmallQuasiCatOneGroup    Examples: 
 
 SmallQuasiCrossedModule    Examples: 
 
 SmoothedFpGroup    Examples: 
 
 SparseChainComplexOfCubicalComplex    Examples: 
 
 SparseChainComplexOfCubicalPair    Examples: 
 
 SparseChainComplexOfFilteredRegularCWComplex    Examples: 
 
 SparseChainComplexOfRegularCWComplexWithVectorField    Examples: 
 
 SparseChainComplexOfSimplicialComplex    Examples: 
 
 SparseChainComplexToChainComplex    Examples: 
 
 SparseChainMapOfCubicalPairs    Examples: 
 
 SparseFilteredChainComplexOfFilteredCubicalComplex    Examples: 
 
 SparseFilteredChainComplexOfFilteredSimplicialComplex    Examples: 1  
 
 SparseMattoMat    Examples: 
 
 SparseRowReduce    Examples: 
 
 SphericalKnotComplement    Examples: 1  
 
 Spin    Examples: 
 
 SpunAboutHyperplane    Examples: 
 
 SpunKnotComplement    Examples: 1  
 
 SpunLinkComplement    Examples: 
 
 StrongGeneratorsOfDerivedSubgroup    Examples: 
 
 StrongGeneratorsOfDerivedSubgroup_alt    Examples: 
 
 StructuralCopyOfFilteredRegularCWComplex    Examples: 
 
 SubQuasiIsomorph    Examples: 
 
 SubdivideCell    Examples: 
 
 SylowSubgroupOfCatOneGroup    Examples: 
 
 SymmetricCentre    Examples: 
 
 SymmetricCommutativityGroup    Examples: 
 
 TensorWithBurnsideRing    Examples: 1 , 2  
 
 TensorWithComplexRepresentationRing    Examples: 1 , 2  
 
 TensorWithComplexRepresentationRingOnRight    Examples: 
 
 TensorWithIntegersModPSparse    Examples: 
 
 TensorWithIntegersOverSubgroup    Examples: 1 , 2 , 3  
 
 TensorWithIntegersSparse    Examples: 
 
 TestHapBook    Examples: 
 
 ThickenedHEPureCubicalComplex    Examples: 
 
 ThickenedPureComplex    Examples: 1  
 
 ThickenedPureCubicalComplex_dim2    Examples: 
 
 ThirdHomotopyGroupOfSuspensionB_alt    Examples: 1  
 
 TransferChainMap    Examples: 
 
 TranslationSubGroup    Examples: 
 
 TreeOfResolutionsToSL2Zcomplex    Examples: 
 
 TruncatedRegularCWComplex    Examples: 
 
 TupleOrbitReps    Examples: 
 
 TupleOrbitReps_perm    Examples: 
 
 TwistedResolution    Examples: 
 
 UnboundedArrayAssign    Examples: 
 
 UnitBall    Examples: 
 
 UnitCubicalBall    Examples: 
 
 UnitPermutahedralBall    Examples: 
 
 UniversalBarCodeEval    Examples: 
 
 UniversalCover    Examples: 1 , 2 , 3  
 
 VectorToCrystMatrix    Examples: 
 
 VectorsToOneSkeleton    Examples: 1  
 
 VerticesOfRegularCWCell    Examples: 
 
 View3dPureComplex    Examples: 
 
 ViewColouredArcDiagram    Examples: 
 
 ViewPureComplex    Examples: 
 
 VirtuallySimplicialSubdivision    Examples: 
 
 WeakCommutativityGroup    Examples: 
 
 WirtingerGroup    Examples: 1  
 
 WirtingerGroup_gc    Examples: 
 
 WordModP    Examples: 
 
 ZigZagContractedFilteredPureCubicalComplex    Examples: 
 
 ZigZagContractedPureComplex    Examples: 1  
 
 Sq    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11  
 
 ElementsSL2Z    Examples: 
 
 PathComponentOfSimplicialComplex    Examples: 
 
 ResolutionSL2ZInvertedInteger    Examples: 1  
 
 ViewGraph    Examples: 
 
 AsFpGroup    Examples: 
 
 BarycentricSubdivision    Examples: 1  
 
 Bockstein    Examples: 1 , 2  
 
 CategoryArrow    Examples: 
 
 CategoryObject    Examples: 
 
 ClosedSurface    Examples: 1  
 
 CoboundaryMatrix    Examples: 
 
 CoefficientsOfPoincareSeries    Examples: 
 
 CohomologyClass    Examples: 1 , 2  
 
 CohomologyRing    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7  
 
 ComplexProjectiveSpace    Examples: 1  
 
 CompositionRingHomomorphism    Examples: 
 
 ConnectedComponentsQuandle    Examples: 
 
 ConnectedSum    Examples: 1  
 
 DegreeOfRepresentative    Examples: 
 
 Dimensions    Examples: 
 
 ExcisedPair    Examples: 
 
 FilteredRegularCWComplex    Examples: 1  
 
 GDerivedSubgroup    Examples: 
 
 GModuleAsGOuterGroup    Examples: 1 , 2 , 3 , 4  
 
 GOuterGroupHomomorphism    Examples: 1 , 2  
 
 GOuterGroupHomomorphism    Examples: 1 , 2  
 
 GradedAlgebraPresentation    Examples: 
 
 GradedAlgebraPresentationNC    Examples: 
 
 HAPDerivationNC    Examples: 
 
 HAPRingHomomorphismByIndeterminateMap    Examples: 
 
 HAPRingReductionHomomorphism    Examples: 
 
 HAPRingReductionHomomorphism    Examples: 
 
 HAPRingToSubringHomomorphism    Examples: 
 
 HAPSubringToRingHomomorphism    Examples: 
 
 HAPSubringToRingHomomorphism    Examples: 
 
 HAPZeroRingHomomorphism    Examples: 
 
 HAP_EquivalenceClasses    Examples: 
 
 HomomorphismsImages    Examples: 
 
 ImageOfDerivation    Examples: 
 
 ImageOfRingHomomorphism    Examples: 
 
 IsAssociatedGradedRing    Examples: 
 
 KernelOfDerivation    Examples: 
 
 LowerGCentralSeries    Examples: 
 
 PathComponents    Examples: 1  
 
 PersistentHomology    Examples: 1  
 
 PersistentHomology    Examples: 1  
 
 PersistentHomology    Examples: 1  
 
 PolynomialToRModuleRep    Examples: 
 
 PreimageOfRingHomomorphism    Examples: 
 
 PureComplexMeet    Examples: 
 
 PureComplexRandomCell    Examples: 
 
 PureComplexSubcomplex    Examples: 
 
 Pushout    Examples: 
 
 QuadraticIdeal    Examples: 1  
 
 ReduceIdeal    Examples: 
 
 ReducedPolynomialRingPresentation    Examples: 
 
 ReducedPolynomialRingPresentationMap    Examples: 
 
 RefinedColouring    Examples: 
 
 Resolution    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32  
 
 RightTransversal_alt    Examples: 
 
 RingOfIntegers    Examples: 1  
 
 SingularPolynomialNormalForm    Examples: 
 
 SingularSetNormalFormIdeal    Examples: 
 
 SingularSetNormalFormIdealNC    Examples: 
 
 SparseChainComplexOfPair    Examples: 
 
 Sphere    Examples: 1  
 
 Sq    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11  
 
 Standard2Cocycle    Examples: 
 
 Standard2Cocycle    Examples: 
 
 StandardNCocycle    Examples: 
 
 StandardNCocycle    Examples: 
 
 SubspaceBasisRepsByDegree    Examples: 
 
 SubspaceDimensionDegree    Examples: 
 
 TrivialGModuleAsGOuterGroup    Examples: 1 , 2 , 3 , 4  
 
 WedgeSum    Examples: 1  
 
 TensorProductOp    Examples: 
 
 Arity    Examples: 
 
 AssociatedNumberField    Examples: 
 
 AssociatedRing    Examples: 
 
 Base    Examples: 1  
 
 BaseElement    Examples: 
 
 BaseRing    Examples: 
 
 Cocycle    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7  
 
 CoefficientModule    Examples: 
 
 CohomologicalPeriod    Examples: 1  
 
 CoxeterMatrix    Examples: 1  
 
 DerivationImages    Examples: 
 
 DerivationRelations    Examples: 
 
 DerivationRing    Examples: 
 
 Fibre    Examples: 
 
 FibreElement    Examples: 
 
 GeneratorsOfPresentationIdeal    Examples: 
 
 GradedAlgebraPresentationFamily    Examples: 
 
 HAPDerivationFamily    Examples: 
 
 HAPPRIME_HilbertSeries    Examples: 
 
 HAPRingHomomorphismFamily    Examples: 
 
 HAP_MultiplicativeGenerators    Examples: 
 
 IdentityMap    Examples: 
 
 ImageGenerators    Examples: 
 
 ImagePolynomialRing    Examples: 
 
 ImageRelations    Examples: 
 
 InCcGroup    Examples: 
 
 IndeterminateAndExponentOfUnivariateMonomial    Examples: 
 
 IndeterminateDegrees    Examples: 
 
 IndeterminatesOfGradedAlgebraPresentation    Examples: 
 
 IndeterminatesOfPolynomial    Examples: 
 
 IndexInSL2O    Examples: 1  
 
 InitialObject    Examples: 1  
 
 InnerAutomorphismGroupQuandle    Examples: 
 
 InnerAutomorphismGroupQuandleAsPerm    Examples: 
 
 InverseRingHomomorphism    Examples: 
 
 IsConnected    Examples: 1 , 2 , 3  
 
 IsHomogeneousQuandle    Examples: 
 
 IsLatinQuandle    Examples: 1  
 
 MaximumDegreeForPresentation    Examples: 
 
 ModPRingBasisAsPolynomials    Examples: 
 
 ModPRingGeneratorDegrees    Examples: 
 
 ModPRingNiceBasis    Examples: 
 
 ModPRingNiceBasisAsPolynomials    Examples: 
 
 Module    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13  
 
 NormOfIdeal    Examples: 
 
 OuterAction    Examples: 
 
 OuterGroup    Examples: 1 , 2 , 3 , 4  
 
 PresentationIdeal    Examples: 
 
 PresentationOfGradedStructureConstantAlgebra    Examples: 
 
 Pullbacks    Examples: 
 
 Pushouts    Examples: 
 
 RightMultiplicationGroupOfQuandle    Examples: 1 , 2 , 3  
 
 RightMultiplicationGroupOfQuandleAsPerm    Examples: 1  
 
 SingularGroebnerBasis    Examples: 
 
 SingularReducedGroebnerBasis    Examples: 
 
 SourceGenerators    Examples: 
 
 SourcePolynomialRing    Examples: 
 
 SourceRelations    Examples: 
 
 StarGraph    Examples: 
 
 TerminalObject    Examples: 
 
 TermsOfPolynomial    Examples: 
 
 UnivariateMonomialsOfMonomial    Examples: 
 
 CoefficientsRing    Examples: 
 
 ElementsFamily    Examples: 
 
 Generators    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21  
 
 IndexInSL2Z    Examples: 
 
 Name    Examples: 1 , 2 , 3 , 4  
 
 Order    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22  
 
 IsAbelianCategory    Examples: 
 
 IsAdditiveCategory    Examples: 
 
 IsCategoryName    Examples: 
 
 IsCcGroup    Examples: 
 
 IsCrystTranslationSubGroup    Examples: 
 
 IsGOuterGroup    Examples: 
 
 IsGOuterGroupHomomorphism    Examples: 
 
 IsGammaSubgroupInSL3Z    Examples: 
 
 IsHAPRationalMatrixGroup    Examples: 
 
 IsHAPRationalSpecialLinearGroup    Examples: 
 
 IsIdealOfQuadraticIntegers    Examples: 
 
 IsPeriodic    Examples: 1  
 
 IsPseudoListWithFunction    Examples: 
 
 IsQuadraticNumberField    Examples: 
 
 IsRingOfQuadraticIntegers    Examples: 
 
 IsStandard2Cocycle    Examples: 
 
 IsStandardNCocycle    Examples: 
 
 IsCcElement    Examples: 
 
 IsGradedAlgebraPresentation    Examples: 
 
 IsHAPDerivation    Examples: 
 
 IsHAPRingHomomorphism    Examples: 
 
 IsHAPRingModIdealObj    Examples: 
 
 IsHapCatOneGroup    Examples: 
 
 IsHapCatOneGroupMorphism    Examples: 
 
 IsHapChainComplex    Examples: 
 
 IsHapChainMap    Examples: 
 
 IsHapCochainComplex    Examples: 
 
 IsHapCochainMap    Examples: 
 
 IsHapCommutativeDiagram    Examples: 
 
 IsHapConjQuandElt    Examples: 
 
 IsHapCrossedModule    Examples: 
 
 IsHapCrossedModuleMorphism    Examples: 
 
 IsHapCubicalComplex    Examples: 
 
 IsHapEquivariantCWComplex    Examples: 
 
 IsHapEquivariantChainComplex    Examples: 
 
 IsHapEquivariantChainMap    Examples: 
 
 IsHapEquivariantSpectralSequencePage    Examples: 
 
 IsHapFilteredChainComplex    Examples: 
 
 IsHapFilteredCubicalComplex    Examples: 
 
 IsHapFilteredGraph    Examples: 
 
 IsHapFilteredPureCubicalComplex    Examples: 
 
 IsHapFilteredRegularCWComplex    Examples: 
 
 IsHapFilteredSimplicialComplex    Examples: 
 
 IsHapFilteredSparseChainComplex    Examples: 
 
 IsHapGCocomplex    Examples: 
 
 IsHapGComplex    Examples: 
 
 IsHapGComplexMap    Examples: 
 
 IsHapGraph    Examples: 
 
 IsHapOppositeElement    Examples: 
 
 IsHapPureCubicalComplex    Examples: 
 
 IsHapPureCubicalLink    Examples: 
 
 IsHapPurePermutahedralComplex    Examples: 
 
 IsHapQuandlePresentation    Examples: 
 
 IsHapQuotientElement    Examples: 
 
 IsHapRegularCWComplex    Examples: 
 
 IsHapRegularCWMap    Examples: 
 
 IsHapResolution    Examples: 
 
 IsHapSimplicialComplex    Examples: 
 
 IsHapSimplicialFreeAbelianGroup    Examples: 
 
 IsHapSimplicialGroup    Examples: 
 
 IsHapSimplicialGroupMorphism    Examples: 
 
 IsHapSimplicialMap    Examples: 
 
 IsHapSparseChainComplex    Examples: 
 
 IsHapSparseChainMap    Examples: 
 
 IsHapSparseMat    Examples: 
 
 IsHapTorsionSubcomplex    Examples: 
 
 IsPseudoList    Examples: 
 
 IsCcElementRep    Examples: 
 
 IsGradedAlgebraPresentationRep    Examples: 
 
 IsHAPDerivationRep    Examples: 
 
 IsHAPIdealRep    Examples: 
 
 IsHAPRingHomomorphismIndeterminateMapRep    Examples: 
 
 IsHAPRingReductionHomomorphismRep    Examples: 
 
 IsHAPRingToSubringHomomorphismRep    Examples: 
 
 IsHAPSubringToRingHomomorphismRep    Examples: 
 
 IsHAPZeroRingHomomorphismRep    Examples: 
 
 IsHapCatOneGroupMorphismRep    Examples: 
 
 IsHapCatOneGroupRep    Examples: 
 
 IsHapChainComplexRep    Examples: 
 
 IsHapChainMapRep    Examples: 
 
 IsHapCochainComplexRep    Examples: 
 
 IsHapCochainMapRep    Examples: 
 
 IsHapCommutativeDiagramRep    Examples: 
 
 IsHapConjQuandEltRep    Examples: 
 
 IsHapCrossedModuleMorphismRep    Examples: 
 
 IsHapCrossedModuleRep    Examples: 
 
 IsHapCubicalComplexRep    Examples: 
 
 IsHapEquivariantCWComplexRep    Examples: 
 
 IsHapEquivariantChainComplexRep    Examples: 
 
 IsHapEquivariantChainMapRep    Examples: 
 
 IsHapEquivariantSpectralSequencePageRep    Examples: 
 
 IsHapFilteredChainComplexRep    Examples: 
 
 IsHapFilteredCubicalComplexRep    Examples: 
 
 IsHapFilteredGraphRep    Examples: 
 
 IsHapFilteredPureCubicalComplexRep    Examples: 
 
 IsHapFilteredRegularCWComplexRep    Examples: 
 
 IsHapFilteredSimplicialComplexRep    Examples: 
 
 IsHapFilteredSparseChainComplexRep    Examples: 
 
 IsHapGCocomplexRep    Examples: 
 
 IsHapGComplexMapRep    Examples: 
 
 IsHapGComplexRep    Examples: 
 
 IsHapGraphRep    Examples: 
 
 IsHapOppositeElementRep    Examples: 
 
 IsHapPureCubicalComplexRep    Examples: 
 
 IsHapPureCubicalLinkRep    Examples: 
 
 IsHapPurePermutahedralComplexRep    Examples: 
 
 IsHapQuandlePresentationRep    Examples: 
 
 IsHapQuotientElementRep    Examples: 
 
 IsHapRegularCWComplexRep    Examples: 
 
 IsHapRegularCWMapRep    Examples: 
 
 IsHapResolutionRep    Examples: 
 
 IsHapSimplicialComplexRep    Examples: 
 
 IsHapSimplicialFreeAbelianGroupRep    Examples: 
 
 IsHapSimplicialGroupMorphismRep    Examples: 
 
 IsHapSimplicialGroupRep    Examples: 
 
 IsHapSimplicialMapRep    Examples: 
 
 IsHapSparseChainComplexRep    Examples: 
 
 IsHapSparseChainMapRep    Examples: 
 
 IsHapSparseMatRep    Examples: 
 
 IsHapTorsionSubcomplexRep    Examples: 
 
 IsPseudoListRep    Examples: 
 
 IdealOfQuadraticIntegers    Examples: 
 
 QuadraticNF    Examples: 
 
 RingOfQuadraticIntegers    Examples: 
 
 *    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39  
 
 *    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39  
 
 *    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39  
 
 *    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39  
 
 +    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42  
 
 +    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42  
 
 +    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42  
 
     Examples: 
 
     Examples: 
 
 =    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 =    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 =    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 AdditiveInverseMutable    Examples: 
 
 AsFpGroup    Examples: 
 
 AsList    Examples: 
 
 AsSSortedList    Examples: 
 
 BarycentricSubdivision    Examples: 1  
 
 BaseRing    Examples: 
 
 Bockstein    Examples: 1 , 2  
 
 CategoryArrow    Examples: 
 
 CategoryObject    Examples: 
 
 CoboundaryMatrix    Examples: 
 
 CoefficientsOfPoincareSeries    Examples: 
 
 CoefficientsRing    Examples: 
 
 CohomologicalPeriod    Examples: 1  
 
 CohomologyClass    Examples: 1 , 2  
 
 CompositionRingHomomorphism    Examples: 
 
 CompositionRingHomomorphism    Examples: 
 
 CompositionRingHomomorphism    Examples: 
 
 CompositionRingHomomorphism    Examples: 
 
 CompositionRingHomomorphism    Examples: 
 
 ConnectedComponentsQuandle    Examples: 
 
 ConnectedSum    Examples: 1  
 
 CoxeterMatrix    Examples: 1  
 
 DefaultFieldOfMatrixGroup    Examples: 
 
 DegreeOfRepresentative    Examples: 
 
 DerivationImages    Examples: 
 
 DerivationRelations    Examples: 
 
 DerivationRing    Examples: 
 
 Dimensions    Examples: 
 
 Enumerator    Examples: 
 
 ExcisedPair    Examples: 
 
 FilteredRegularCWComplex    Examples: 1  
 
 GModuleAsGOuterGroup    Examples: 1 , 2 , 3 , 4  
 
 GOuterGroupHomomorphism    Examples: 1 , 2  
 
 GOuterGroupHomomorphism    Examples: 1 , 2  
 
 Generators    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21  
 
 GeneratorsOfMagmaWithInverses    Examples: 
 
 GeneratorsOfPresentationIdeal    Examples: 
 
 GradedAlgebraPresentation    Examples: 
 
 GradedAlgebraPresentationNC    Examples: 
 
 HAPDerivationNC    Examples: 
 
 HAPPRIME_HilbertSeries    Examples: 
 
 HAPRingHomomorphismByIndeterminateMap    Examples: 
 
 HAPRingReductionHomomorphism    Examples: 
 
 HAPRingReductionHomomorphism    Examples: 
 
 HAPRingToSubringHomomorphism    Examples: 
 
 HAPSubringToRingHomomorphism    Examples: 
 
 HAPSubringToRingHomomorphism    Examples: 
 
 HAPZeroRingHomomorphism    Examples: 
 
 HAP_MultiplicativeGenerators    Examples: 
 
 HomomorphismsImages    Examples: 
 
 IdGroup    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7  
 
 IdentityMap    Examples: 
 
 ImageOfDerivation    Examples: 
 
 ImageOfRingHomomorphism    Examples: 
 
 ImageOfRingHomomorphism    Examples: 
 
 ImageOfRingHomomorphism    Examples: 
 
 ImageOfRingHomomorphism    Examples: 
 
 ImageOfRingHomomorphism    Examples: 
 
 IndeterminateAndExponentOfUnivariateMonomial    Examples: 
 
 IndeterminateDegrees    Examples: 
 
 IndeterminatesOfGradedAlgebraPresentation    Examples: 
 
 IndeterminatesOfPolynomial    Examples: 
 
 IndexInSL2O    Examples: 1  
 
 IndexInSL2Z    Examples: 
 
 InnerAutomorphismGroupQuandle    Examples: 
 
 InnerAutomorphismGroupQuandleAsPerm    Examples: 
 
 Int    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34  
 
 InverseMutable    Examples: 
 
 InverseMutable    Examples: 
 
 InverseMutable    Examples: 
 
 InverseRingHomomorphism    Examples: 
 
 InverseRingHomomorphism    Examples: 
 
 InverseRingHomomorphism    Examples: 
 
 InverseRingHomomorphism    Examples: 
 
 InverseRingHomomorphism    Examples: 
 
 InverseSameMutability    Examples: 
 
 IsAssociatedGradedRing    Examples: 
 
 IsConnected    Examples: 1 , 2 , 3  
 
 IsHomogeneousQuandle    Examples: 
 
 IsLatinQuandle    Examples: 1  
 
 IsMonomial    Examples: 
 
 IsOne    Examples: 
 
 IsPeriodic    Examples: 1  
 
 Kernel    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9  
 
 KernelOfDerivation    Examples: 
 
 MaximumDegreeForPresentation    Examples: 
 
 ModPRingBasisAsPolynomials    Examples: 
 
 ModPRingGeneratorDegrees    Examples: 
 
 ModPRingNiceBasis    Examples: 
 
 ModPRingNiceBasisAsPolynomials    Examples: 
 
 OneImmutable    Examples: 
 
 OneMutable    Examples: 
 
 PathComponents    Examples: 1  
 
 PreimageOfRingHomomorphism    Examples: 
 
 PresentationIdeal    Examples: 
 
 PresentationOfGradedStructureConstantAlgebra    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 PrintObj    Examples: 
 
 Projection    Examples: 
 
 PureComplexMeet    Examples: 
 
 PureComplexRandomCell    Examples: 
 
 PureComplexSubcomplex    Examples: 
 
 Pushout    Examples: 
 
 QuadraticIdeal    Examples: 1  
 
 Random    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13  
 
 ReduceIdeal    Examples: 
 
 ReducedPolynomialRingPresentation    Examples: 
 
 ReducedPolynomialRingPresentationMap    Examples: 
 
 RefinedColouring    Examples: 
 
 Resolution    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32  
 
 RightMultiplicationGroupOfQuandle    Examples: 1 , 2 , 3  
 
 RightMultiplicationGroupOfQuandleAsPerm    Examples: 1  
 
 RightTransversal    Examples: 
 
 RingOfIntegers    Examples: 1  
 
 SingularGroebnerBasis    Examples: 
 
 SingularPolynomialNormalForm    Examples: 
 
 SingularReducedGroebnerBasis    Examples: 
 
 SingularSetNormalFormIdeal    Examples: 
 
 SingularSetNormalFormIdealNC    Examples: 
 
 SparseChainComplexOfPair    Examples: 
 
 Sq    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11  
 
 Standard2Cocycle    Examples: 
 
 Standard2Cocycle    Examples: 
 
 StandardNCocycle    Examples: 
 
 StandardNCocycle    Examples: 
 
 StarGraph    Examples: 
 
 SubspaceBasisRepsByDegree    Examples: 
 
 SubspaceDimensionDegree    Examples: 
 
 TensorProductOp    Examples: 
 
 TermsOfPolynomial    Examples: 
 
 TrivialGModuleAsGOuterGroup    Examples: 1 , 2 , 3 , 4  
 
 Units    Examples: 
 
 Units    Examples: 
 
 UnivariateMonomialsOfMonomial    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 ViewObj    Examples: 
 
 WedgeSum    Examples: 1  
 
 ZeroMutable    Examples: 
 
 ^    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40  
 
 ^    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40  
 
 ^    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40  
 
 in    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 in    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 in    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 in    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 mod    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38  
 
 *    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39  
 
 *    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39  
 
 *    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39  
 
 *    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39  
 
 *    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39  
 
 +    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42  
 
 +    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42  
 
 +    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42  
 
 -    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 -    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 /    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
     Examples: 
 
     Examples: 
 
     Examples: 
 
     Examples: 
 
 =    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 =    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 =    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 =    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 =    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 =    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 AbelianInvariants    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11  
 
 AbelianInvariants    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11  
 
 BarycentricSubdivision    Examples: 1  
 
 CanonicalRightCosetElement    Examples: 
 
 ClosedSurface    Examples: 1  
 
 CohomologyRing    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7  
 
 ComplexProjectiveSpace    Examples: 1  
 
 ConnectedSum    Examples: 1  
 
 Dimensions    Examples: 
 
 DirectProductOp    Examples: 
 
 DirectProductOp    Examples: 
 
 Discriminant    Examples: 1  
 
 Discriminant    Examples: 1  
 
 Embedding    Examples: 
 
 GDerivedSubgroup    Examples: 
 
 Generators    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21  
 
 HAPRingReductionHomomorphism    Examples: 
 
 HAPRingReductionHomomorphism    Examples: 
 
 HAP_EquivalenceClasses    Examples: 
 
 ImageOfRingHomomorphism    Examples: 
 
 ImageOfRingHomomorphism    Examples: 
 
 IndexNC    Examples: 
 
 IndexNC    Examples: 
 
 InverseMutable    Examples: 
 
 InverseMutable    Examples: 
 
 InverseMutable    Examples: 
 
 InverseSameMutability    Examples: 
 
 IsPrime    Examples: 1 , 2 , 3  
 
 IsomorphismFpGroup    Examples: 1 , 2  
 
 Iterator    Examples: 
 
 KernelOfDerivation    Examples: 
 
 ListOp    Examples: 
 
 ListOp    Examples: 
 
 LowerGCentralSeries    Examples: 
 
 NaturalHomomorphism    Examples: 1 , 2 , 3 , 4 , 5 , 6  
 
 Norm    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15  
 
 Norm    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15  
 
 OneImmutable    Examples: 
 
 OneImmutable    Examples: 
 
 Order    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22  
 
 Order    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22  
 
 PersistentHomology    Examples: 1  
 
 PersistentHomology    Examples: 1  
 
 Position    Examples: 1 , 2  
 
 Position    Examples: 1 , 2  
 
 Position    Examples: 1 , 2  
 
 PositionCanonical    Examples: 
 
 PreimageOfRingHomomorphism    Examples: 
 
 Projection    Examples: 
 
 PureComplexMeet    Examples: 
 
 PureComplexRandomCell    Examples: 
 
 PureComplexSubcomplex    Examples: 
 
 QuadraticIdeal    Examples: 1  
 
 Range    Examples: 1  
 
 ReduceIdeal    Examples: 
 
 ReduceIdeal    Examples: 
 
 ReducedPolynomialRingPresentation    Examples: 
 
 ReducedPolynomialRingPresentation    Examples: 
 
 ReducedPolynomialRingPresentationMap    Examples: 
 
 ReducedPolynomialRingPresentationMap    Examples: 
 
 ReducedPolynomialRingPresentationMap    Examples: 
 
 RefinedColouring    Examples: 
 
 RightTransversal    Examples: 
 
 RightTransversal    Examples: 
 
 RightTransversal    Examples: 
 
 RightTransversal    Examples: 
 
 RightTransversal_alt    Examples: 
 
 SingularPolynomialNormalForm    Examples: 
 
 SparseChainComplexOfPair    Examples: 
 
 Sphere    Examples: 1  
 
 SubspaceBasisRepsByDegree    Examples: 
 
 SubspaceDimensionDegree    Examples: 
 
 TensorProductOp    Examples: 
 
 TensorProductOp    Examples: 
 
 TensorProductOp    Examples: 
 
 Trace    Examples: 
 
 Units    Examples: 
 
 []    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10  
 
 []    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10  
 
 []    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10  
 
 ^    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40  
 
 ^    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40  
 
 ^    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40  
 
 ^    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40  
 
 in    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 in    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 in    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 in    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 in    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65  
 
 mod    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38  
 
 InfoHAPprime    Examples: 
 
 ASY_PATH    Examples: 
 
 AutomorphismGroupAsCrossedModule    Examples: 
 
 BROWSER_PATH    Examples: 
 
 CATONEGROUP_DATA_PERM    Examples: 
 
 CATONEGROUP_DATA_SIZE    Examples: 
 
 Category_Of_Groups    Examples: 1  
 
 Cedric_PlanarDiagram    Examples: 
 
 ChildKill    Examples: 
 
 DISPLAY_PATH    Examples: 
 
 DOT_PATH    Examples: 
 
 FilteredSimplicialComplexToFilteredCWComplex    Examples: 
 
 GradedAlgebraPresentationType    Examples: 
 
 HAPTEMPORARYFUNCTION    Examples: 
 
 HAP_Knots    Examples: 
 
 HAP_ROOT    Examples: 
 
 HapCatOneGroup    Examples: 
 
 HapCatOneGroupFamily    Examples: 
 
 HapCatOneGroupMorphism    Examples: 
 
 HapCatOneGroupMorphismFamily    Examples: 
 
 HapChainComplex    Examples: 
 
 HapChainComplexFamily    Examples: 
 
 HapChainMap    Examples: 
 
 HapChainMapFamily    Examples: 
 
 HapCochainComplex    Examples: 
 
 HapCochainComplexFamily    Examples: 
 
 HapCochainMap    Examples: 
 
 HapCochainMapFamily    Examples: 
 
 HapCommutativeDiagram    Examples: 
 
 HapCommutativeDiagramFamily    Examples: 
 
 HapCrossedModule    Examples: 
 
 HapCrossedModuleFamily    Examples: 
 
 HapCrossedModuleMorphism    Examples: 
 
 HapCrossedModuleMorphismFamily    Examples: 
 
 HapCubicalComplex    Examples: 
 
 HapCubicalComplexFamily    Examples: 
 
 HapEquivariantCWComplex    Examples: 
 
 HapEquivariantCWComplexFamily    Examples: 
 
 HapEquivariantChainMap    Examples: 
 
 HapEquivariantChainMapFamily    Examples: 
 
 HapFPGModule    Examples: 
 
 HapFPGModuleHomomorphism    Examples: 
 
 HapFilteredChainComplex    Examples: 
 
 HapFilteredChainComplexFamily    Examples: 
 
 HapFilteredCubicalComplex    Examples: 
 
 HapFilteredCubicalComplexFamily    Examples: 
 
 HapFilteredGraph    Examples: 
 
 HapFilteredGraphFamily    Examples: 
 
 HapFilteredPureCubicalComplex    Examples: 
 
 HapFilteredPureCubicalComplexFamily    Examples: 
 
 HapFilteredRegularCWComplex    Examples: 
 
 HapFilteredRegularCWComplexFamily    Examples: 
 
 HapFilteredSimplicialComplex    Examples: 
 
 HapFilteredSimplicialComplexFamily    Examples: 
 
 HapFilteredSparseChainComplex    Examples: 
 
 HapFilteredSparseChainComplexFamily    Examples: 
 
 HapGChainComplex    Examples: 
 
 HapGCocomplex    Examples: 
 
 HapGCocomplexFamily    Examples: 
 
 HapGComplex    Examples: 
 
 HapGComplexFamily    Examples: 
 
 HapGlobalDeclarationsAreAlreadyLoaded    Examples: 
 
 HapGraph    Examples: 
 
 HapGraphFamily    Examples: 
 
 HapNonFreeResolution    Examples: 
 
 HapOppositeElement    Examples: 
 
 HapOppositeElementFamily    Examples: 
 
 HapPureCubicalComplex    Examples: 
 
 HapPureCubicalComplexFamily    Examples: 
 
 HapPureCubicalLink    Examples: 
 
 HapPureCubicalLinkFamily    Examples: 
 
 HapPurePermutahedralComplex    Examples: 
 
 HapPurePermutahedralComplexFamily    Examples: 
 
 HapQuotientElement    Examples: 
 
 HapQuotientElementFamily    Examples: 
 
 HapRegularCWComplex    Examples: 
 
 HapRegularCWComplexFamily    Examples: 
 
 HapRegularCWMap    Examples: 
 
 HapRegularCWMapFamily    Examples: 
 
 HapResolution    Examples: 
 
 HapResolutionFamily    Examples: 
 
 HapSimplicialComplex    Examples: 
 
 HapSimplicialComplexFamily    Examples: 
 
 HapSimplicialGroup    Examples: 
 
 HapSimplicialGroupFamily    Examples: 
 
 HapSimplicialGroupMorphism    Examples: 
 
 HapSimplicialGroupMorphismFamily    Examples: 
 
 HapSimplicialMap    Examples: 
 
 HapSimplicialMapFamily    Examples: 
 
 HapSparseChainComplex    Examples: 
 
 HapSparseChainComplexFamily    Examples: 
 
 HapSparseChainMap    Examples: 
 
 HapSparseChainMapFamily    Examples: 
 
 HapSparseMat    Examples: 
 
 HapSparseMatFamily    Examples: 
 
 HomomorphismOfDirectProduct    Examples: 
 
 IDQUASICATONEGROUP_DATA    Examples: 
 
 IsHapChain    Examples: 
 
 IsHapCochain    Examples: 
 
 IsHapComplex    Examples: 
 
 IsHapFPGModule    Examples: 
 
 IsHapFPGModuleHomomorphism    Examples: 
 
 IsHapGChainComplex    Examples: 
 
 IsHapMap    Examples: 
 
 IsHapNonFreeResolution    Examples: 
 
 NEATO_PATH    Examples: 
 
 NerveOfCover    Examples: 
 
 POLYMAKE_PATH    Examples: 
 
 PseudoList    Examples: 
 
 PseudoListFamily    Examples: 
 
 QUASICATONEGROUP_DATA_NOT    Examples: 
 
 QUASICATONEGROUP_DATA_SIZE    Examples: 
 
 ReadBioData    Examples: 
 
 SMALLQUASICATONEGROUP_DATA    Examples: 
 
 CATONEGROUP_DATA    Examples: 
 
 COMPILED    Examples: 
 
 Cedric_XYXYConnQuan    Examples: 
 
 Cedric_XYXYQuandles    Examples: 
 
 CohomologicalData    Examples: 1  
 
 CommutingProbability    Examples: 
 
 GroupIsomorphismRepresentatives    Examples: 
 
 HAPAAA    Examples: 
 
 HAPBARCODE    Examples: 
 
 HAPDerivationType    Examples: 
 
 HAPPRIME_LastLHSBicomplexSize    Examples: 
 
 HAPPRIME_ShuffleRandomSource    Examples: 
 
 HAPRIGXXX    Examples: 
 
 HAP_GCOMPLEX_LIST    Examples: 
 
 HAP_GCOMPLEX_SETUP    Examples: 
 
 HAP_MOVES_DIM_2    Examples: 
 
 HAP_MOVES_DIM_3    Examples: 
 
 HAP_PERMMOVES_DIM_2    Examples: 
 
 HAP_PERMMOVES_DIM_3    Examples: 
 
 HAP_XYXYXYXY    Examples: 
 
 HAP_type    Examples: 
 
 HAPchildFunctionToggle    Examples: 
 
 HAPchildToggle    Examples: 
 
 HAPchildren    Examples: 
 
 HapConjQuandElt    Examples: 
 
 HapConjQuandEltFamily    Examples: 
 
 HapConstantPolRing    Examples: 
 
 HapEquivariantChainComplex    Examples: 
 
 HapEquivariantChainComplexFamily    Examples: 
 
 HapEquivariantSpectralSequencePage    Examples: 
 
 HapEquivariantSpectralSequencePageFamily    Examples: 
 
 HapGComplexMap    Examples: 
 
 HapGComplexMapFamily    Examples: 
 
 HapQuandlePresentation    Examples: 
 
 HapQuandlePresentationFamily    Examples: 
 
 HapRightTransversalSL2ZSubgroup    Examples: 
 
 HapSL2ZSubgroup    Examples: 
 
 HapSimplicialFreeAbelianGroup    Examples: 
 
 HapSimplicialFreeAbelianGroupFamily    Examples: 
 
 HapTorsionSubcomplex    Examples: 
 
 HapTorsionSubcomplexFamily    Examples: 
 
 IntersectionForm    Examples: 1  
 
 IsHapRightTransversalSL2ZSubgroup    Examples: 
 
 IsHapSL2OSubgroup    Examples: 
 
 IsHapSL2Subgroup    Examples: 
 
 IsHapSL2ZSubgroup    Examples: 
 
 MinimizeRingRelations    Examples: 
 
 RT    Examples: 
 
 RefinedColouring_gc    Examples: 
 
 RefinedColouring_group    Examples: 
 
 SimplicialComplexConnectedSum    Examples: 
 
 StemGroups    Examples: 
 
 cat    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27  
 
 cnt    Examples: 
 
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