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40 HAP variables that are not yet documented
 40.1  

40 HAP variables that are not yet documented

40.1  

2CoreducedChainComplex    Examples:

AbelianGOuterGroupToCatOneGroup    Examples:

AbelianInvariantsToTorsionCoefficients    Examples:

AcyclicSubcomplexOfPureCubicalComplex    Examples: 1 

AddFirst    Examples:

AdjointGroupOfQuandle    Examples: 1 

AlgebraicReduction_alt    Examples:

AppendFreeWord    Examples:

ArcDiagramToTubularSurface    Examples:

ArcPresentation    Examples: 1 , 2 , 3 , 4 

ArcPresentationToKnottedOneComplex    Examples:

AreIsoclinic    Examples:

ArrayIterateBreak    Examples:

ArrayValueKD    Examples:

AsWordInSL2Z    Examples:

AutomorphismGroupQuandleAsPerm_nonconnected    Examples:

AverageInnerProduct    Examples:

BarCodeOfFilteredPureCubicalComplex    Examples:

BarCodeOfSymmetricMatrix    Examples:

BarComplexOfMonoid    Examples: 1 

BarycentricallySimplifiedComplex    Examples: 1 

BarycentricallySubdivideCell    Examples:

BettinumbersOfPureCubicalComplex_dim_2    Examples:

BocksteinHomology    Examples:

BogomolovMultiplier_viaTensorSquare    Examples:

BoundariesOfFilteredChainComplex    Examples:

BoundaryOfPureComplex    Examples: 1 

BoundaryOfPureRegularCWComplex    Examples: 1 

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: 1 

CanonicalRightCountableCosetElement    Examples:

CatOneGroupByCrossedModule    Examples:

CatOneGroupsByGroup    Examples:

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 

ChainComplexHomeomorphismEquivalenceOfRegularCWComplex    Examples:

ChainComplexOfCubicalComplex    Examples:

ChainComplexOfCubicalPair    Examples:

ChainComplexOfRegularCWComplexWithVectorField    Examples:

ChainComplexOfSimplicialComplex    Examples:

ChainComplexOfSimplicialPair    Examples:

ChainComplexOfUniversalCover    Examples: 1 , 2 , 3 , 4 

ChainComplexToSparseChainComplex    Examples:

ChainComplexWithChainHomotopy    Examples:

ChainMapOfCubicalPairs    Examples:

ChainMapOfRegularCWMap    Examples:

ChevalleyEilenbergComplexOfModule    Examples:

ChildRestart    Examples:

ClosureCWCell    Examples:

CoClass    Examples:

CocriticalCellsOfRegularCWComplex    Examples:

CocyclicHadamardMatrices    Examples: 1 

CocyclicMatrices    Examples:

CohomologicalData    Examples: 1 

CohomologyHomomorphism    Examples: 1 , 2 

CohomologyHomomorphismOfRepresentation    Examples:

CohomologyModule_AsAutModule    Examples:

CohomologyModule_Gmap    Examples:

CohomologyRingOfSimplicialComplex    Examples:

CohomologySimplicialFreeAbelianGroup    Examples:

CombinationDisjointSets    Examples:

CommonEndomorphisms    Examples:

ComplementOfPureComplex    Examples: 1 

ComplementaryBasis    Examples:

ComposeCWMaps    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:

ContractSimplicialComplex_alt    Examples:

ContractedFilteredPureCubicalComplex    Examples: 1 

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:

CrystallographicComplex    Examples:

CubicalToPermutahedralArray    Examples:

CupProductMatrix    Examples:

CupProductOfRegularCWComplex    Examples: 1 

CupProductOfRegularCWComplex_alt    Examples: 1 

CuspidalCohomologyHomomorphism    Examples:

CyclesOfFilteredChainComplex    Examples:

DavisComplex    Examples: 1 , 2 , 3 , 4 

DeformationRetract    Examples:

DensityMat    Examples:

DerivedGroupOfQuandle    Examples: 1 

DiagonalChainMap    Examples:

DijkgraafWittenInvariant    Examples: 1 

DirectProductOfGroupHomomorphisms    Examples:

DirectProductOfRegularCWComplexes    Examples:

DirectProductOfRegularCWComplexesLazy    Examples:

DirectProductOfSimplicialComplexes    Examples:

DisplayCSVknotFile    Examples:

DisplayVectorField    Examples:

E1CohomologyPage    Examples:

E1HomologyPage    Examples:

EilenbergMacLaneSimplicialFreeAbelianGroup    Examples:

ElementsLazy    Examples:

EquivariantCWComplexToRegularCWComplex    Examples: 1 , 2 , 3 , 4 

EquivariantCWComplexToRegularCWMap    Examples: 1 , 2 , 3 

EquivariantCWComplexToResolution    Examples:

ExcisedPureCubicalPair_dim_2    Examples:

ExtractTorsionSubcomplex    Examples:

FactorizationNParts    Examples:

FilteredChainComplexToFilteredSparseChainComplex    Examples:

FilteredCubicalComplexToFilteredRegularCWComplex    Examples: 1 

FilteredPureCubicalComplexToCubicalComplex    Examples: 1 

FiltrationTermOfGraph    Examples:

FiltrationTermOfPureCubicalComplex    Examples:

FiltrationTermOfRegularCWComplex    Examples:

FiltrationTerms    Examples: 1 

FirstHomologyCoveringCokernels    Examples: 1 , 2 

FirstHomologySimplicialTwoComplex    Examples:

FourthHomotopyGroupOfDoubleSuspensionB    Examples:

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_AllHomomorphisms    Examples:

HAP_AppendTo    Examples:

HAP_AssociahedronBoundaries    Examples:

HAP_AssociahedronCells    Examples:

HAP_BaryCentricSubdivisionGComplex    Examples:

HAP_BaryCentricSubdivisionRegularCWComplex    Examples:

HAP_Binlisttoint    Examples:

HAP_ChainComplexToEquivariantChainComplex    Examples:

HAP_CocyclesAndCoboundaries    Examples:

HAP_CongruenceSubgroupGamma0    Examples: 1 

HAP_CongruenceSubgroupGamma0Ideal    Examples:

HAP_ConjugatedCongruenceSubgroup    Examples:

HAP_ConjugatedCongruenceSubgroupGamma0    Examples:

HAP_CriticalCellsDirected    Examples:

HAP_CupProductOfPresentation    Examples:

HAP_CupProductOfSimplicialComplex    Examples:

HAP_DisplayPlanarTree    Examples:

HAP_DisplayVectorField    Examples:

HAP_ElementsSL2Zfn    Examples:

HAP_FunctorialModPCohomologyRing    Examples:

HAP_GenericSL2OSubgroup    Examples:

HAP_GenericSL2ZConjugatedSubgroup    Examples:

HAP_GenericSL2ZSubgroup    Examples:

HAP_HomToIntModP_ChainComplex    Examples:

HAP_HomToIntModP_ChainMap    Examples:

HAP_HomToIntModP_CochainComplex    Examples:

HAP_HomToIntModP_CochainMap    Examples:

HAP_HomeoLinkingForm    Examples:

HAP_Hurewicz1Cycles    Examples:

HAP_IntegralClassToCocycle    Examples:

HAP_IntegralCocycleToClass    Examples:

HAP_IntegralCohomology    Examples:

HAP_KK_AddCell    Examples:

HAP_KnotGroupInv    Examples:

HAP_MyIsBieberbachFpGroup    Examples:

HAP_MyIsFiniteFpGroup    Examples:

HAP_MyIsInfiniteFpGroup    Examples:

HAP_PHI    Examples:

HAP_PermBinlisttoint    Examples:

HAP_PlanarBinaryTrees    Examples:

HAP_PlanarTreeGraft    Examples:

HAP_PlanarTreeJoin    Examples:

HAP_PlanarTreeLeaves    Examples:

HAP_PlanarTreeRemovableEdge    Examples:

HAP_PlanarTreeRemoveEdge    Examples:

HAP_PrimePartModified    Examples:

HAP_PrincipalCongruenceSubgroup    Examples:

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:

HAP_SL2ZSubgroupTree_fast    Examples:

HAP_SL2ZSubgroupTree_slow    Examples:

HAP_Sequence2Boundaries    Examples:

HAP_SimplicialPairToCWMap    Examples:

HAP_SimplicialProjectivePlane    Examples:

HAP_SimplicialTorus    Examples:

HAP_SimplifiedGaussCode    Examples:

HAP_StiefelWhitney    Examples:

HAP_SylowSubgroups    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_bockstein    Examples:

HAP_chain_bockstein    Examples:

HAP_coho_isoms    Examples:

HAP_nxnMatTo2nx2nMat    Examples:

HadamardGraph    Examples:

HapExample    Examples:

HapFile    Examples: 1 , 2 , 3 , 4 

HasTrivialPostnikovInvariant    Examples:

HeckeOperator    Examples:

HeckeOperatorWeight2    Examples:

HenonOrbit    Examples: 1 

HomToGModule_hom    Examples:

HomToInt_ChainComplex    Examples:

HomToInt_ChainMap    Examples:

HomToInt_CochainComplex    Examples:

HomToModPModule    Examples: 1 

HomogeneousPolynomials    Examples:

HomogeneousPolynomials_Bianchi    Examples:

HomologicalGroupDecomposition    Examples: 1 

HomologyOfPureCubicalComplex    Examples:

HomologyPbs    Examples:

HomologySimplicialFreeAbelianGroup    Examples:

HomomorphismAsMatrix    Examples:

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 

IdCrossedModule    Examples:

IdQuasiCatOneGroup    Examples:

IdQuasiCrossedModule    Examples:

IdentifyKnot    Examples: 1 

IdentityAmongRelators    Examples: 1 , 2 , 3 

ImageOfGOuterGroupHomomorphism    Examples: 1 , 2 

ImageOfMap    Examples:

InducedSteenrodHomomorphisms    Examples:

IntegerSimplicialComplex    Examples: 1 

IntegralCellularHomology    Examples:

IntegralCohomology    Examples:

IntegralCohomologyOfCochainComplex    Examples:

IntegralHomology    Examples: 1 

IntegralHomologyOfChainComplex    Examples:

IntersectionCWSubcomplex    Examples:

IsClosedManifold    Examples: 1 

IsContractibleCube_higherdims    Examples:

IsCrystSameOrbit    Examples:

IsCrystSufficientLattice    Examples:

IsHadamardMatrix    Examples:

IsIntList    Examples:

IsIsomorphismOfAbelianFpGroups    Examples: 1 

IsMetricMatrix    Examples:

IsPeriodicSpaceGroup    Examples: 1 

IsPureComplex    Examples:

IsPureRegularCWComplex    Examples:

IsRigid    Examples: 1 

IsRigidOnRight    Examples:

IsSphericalCoxeterGroup    Examples:

IsoclinismClasses    Examples: 1 , 2 

IsomorphismCatOneGroups    Examples: 1 

IsomorphismCrossedModules    Examples:

KernelOfGOuterGroupHomomorphism    Examples: 1 , 2 

KernelOfMap    Examples:

KernelWG    Examples:

KinkArc2Presentation    Examples:

KnotComplement    Examples: 1 , 2 , 3 

KnotComplementWithBoundary    Examples: 1 , 2 , 3 

LazyList    Examples:

LefschetzNumberOfChainMap    Examples:

Lfunction    Examples:

LiftColouredSurface    Examples:

LiftedRegularCWMap    Examples:

LinearHomomorphismsZZPersistenceMat    Examples:

LinkingForm    Examples: 1 

LinkingFormHomeomorphismInvariant    Examples: 1 

LinkingFormHomotopyInvariant    Examples: 1 

ListsOfCellsToRegularCWComplex    Examples:

LowDimensionalCupProduct    Examples: 1 

MakeHAPprimeDoc    Examples:

ManifoldType    Examples: 1 

Mapper    Examples: 1 

Mapper_alt    Examples:

MatrixSize    Examples:

MaximalSimplicesOfSimplicialComplex    Examples: 1 

MaximalSphericalCoxeterSubgroupsFromAbove    Examples:

MinimizeRingRelations    Examples:

Mod2SteenrodAlgebra    Examples: 1 

ModPCohomologyRing_alt    Examples:

ModPCohomologyRing_part_1    Examples:

ModPCohomologyRing_part_2    Examples:

ModPRingGeneratorsAlt    Examples:

ModPSteenrodAlgebra    Examples: 1 , 2 

ModularCohomology    Examples:

ModularEquivariantChainMap    Examples:

ModularHomology    Examples:

Nil3TensorSquare    Examples:

NonFreeResolutionFiniteSubgroup    Examples:

NonManifoldVertices    Examples:

NonRegularCWBoundary    Examples:

NonabelianSymmetricKernel_alt    Examples: 1 

NonabelianSymmetricSquare_inf    Examples:

NonabelianTensorProduct_Inf    Examples:

NonabelianTensorProduct_alt    Examples:

NonabelianTensorSquareAsCatOneGroup    Examples:

NonabelianTensorSquareAsCrossedModule    Examples:

NonabelianTensorSquare_inf    Examples:

NoncrossingPartitionsLatticeDisplay    Examples: 1 

NullspaceSparseMatDestructive    Examples:

NumberConnectedQuandles    Examples:

NumberGeneratorsOfGroupHomology    Examples:

NumberOfCrossingsInArc2Presentation    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:

PSubgroupGChainComplex    Examples:

PSubgroupSimplicialComplex    Examples:

PUpperCentralSeries    Examples:

PartialIsoclinismClasses    Examples: 1 

PartsOfQuadraticInteger    Examples:

PathComponentOfPureComplex    Examples: 1 

PathComponentsCWSubcomplex    Examples:

PathComponentsOfSimplicialComplex_alt    Examples:

PathObjectForChainComplex    Examples: 1 

PermutahedralComplexToRegularCWComplex    Examples: 1 

PermutahedralToCubicalArray    Examples:

PersistentBettiNumbersViaContractions    Examples:

PersistentHomologyOfCrossedModule    Examples:

PersistentHomologyOfFilteredPureCubicalComplex_alt    Examples:

PersistentHomologyOfFilteredSparseChainComplex    Examples: 1 , 2 

PersistentHomologyOfPureCubicalComplex_Alt    Examples:

PersistentHomologyOfQuotientGroupSeries_Int    Examples:

PiZeroOfRegularCWComplex    Examples:

PoincareBipyramidCWComplex    Examples: 1 

PoincareCubeCWComplex    Examples: 1 

PoincareCubeCWComplexNS    Examples: 1 

PoincareDodecahedronCWComplex    Examples: 1 , 2 

PoincareOctahedronCWComplex    Examples: 1 

PoincarePrismCWComplex    Examples: 1 

PoincareSeriesApproximation    Examples:

PoincareSeries_alt    Examples:

PolymakeFaceLattice    Examples:

PolytopalRepresentationComplex    Examples:

PrankAlt    Examples:

PresentationOfResolution_alt    Examples:

PrimePartDerivedFunctorHomomorphism    Examples:

PrimePartDerivedFunctorViaSubgroupChain    Examples:

PrimePartDerivedTwistedFunctor    Examples:

PrintAlgebraWordAsPolynomial    Examples:

PrintTorsionSubcomplex    Examples:

PureComplex    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 

PureCubicalComplexToCubicalComplex    Examples: 1 , 2 

PureCubicalLink    Examples: 1 , 2 

PushoutOfFpGroups    Examples:

QuadraticCharacter    Examples:

QuadraticNumberField    Examples: 1 

QuandleIsomorphismRepresentatives    Examples:

QuotientByTorsionSubcomplex    Examples:

QuotientChainMap    Examples:

QuotientGroup    Examples:

QuotientQuasiIsomorph    Examples:

RadicalSeriesOfResolution    Examples:

RandomArc2Presentation    Examples:

RandomCellOfPureComplex    Examples:

ReadLinkImageAsGaussCode    Examples: 1 

ReadMatrixAsPureCubicalComplex    Examples:

ReduceGenerators    Examples:

ReduceGenerators_alt    Examples:

ReflectedCubicalKnot    Examples: 1 , 2 , 3 , 4 

RegularCWAssociahedron    Examples:

RegularCWComplexComplement    Examples: 1 

RegularCWComplexWithRemovedCell    Examples: 1 

RegularCWComplex_AttachCellDestructive    Examples: 1 

RegularCWCube    Examples:

RegularCWMapToCWSubcomplex    Examples:

RegularCWOrbitPolytope    Examples:

RegularCWPermutahedron    Examples:

RegularCWPolygon    Examples:

RegularCWSimplex    Examples:

RelativeCentralQuotientSpaceGroup    Examples:

RelativeGroupHomology    Examples:

RelativeRightTransversal    Examples:

RemoveStar    Examples:

ResolutionAbelianGroup_alt    Examples:

ResolutionAbelianPcpGroup    Examples:

ResolutionAffineCrystGroup    Examples:

ResolutionBoundaryOfWordOnRight    Examples:

ResolutionDirectProductLazy    Examples:

ResolutionFiniteCyclicGroup    Examples:

ResolutionGL2QuadraticIntegers    Examples:

ResolutionGL3QuadraticIntegers    Examples:

ResolutionGenericGroup    Examples:

ResolutionInfiniteCyclicGroup    Examples:

ResolutionPGL2QuadraticIntegers    Examples:

ResolutionPGL3QuadraticIntegers    Examples:

ResolutionPSL2QuadraticIntegers    Examples: 1 

ResolutionPrimePowerGroupSparse    Examples:

ResolutionSL2QuadraticIntegers    Examples: 1 

ResolutionSL2ZConjugated    Examples:

ResolutionSL2Z_alt    Examples:

ResolutionSpaceGroup    Examples: 1 

ResolutionToEquivariantCWComplex    Examples:

ResolutionToResolutionOfFpGroup    Examples: 1 

SL2QuadraticIntegers    Examples: 1 

SL2ZResolution    Examples:

SL2ZResolution_alt    Examples:

SL2ZTree    Examples:

SL2ZmElementsDecomposition    Examples:

SequentialRegularCWComplexComplement    Examples:

SignatureOfSymmetricMatrix    Examples: 1 

SignedPermutationGroup    Examples: 1 

SimplicesToSimplicialComplex    Examples: 1 , 2 , 3 , 4 

SimplicialComplexToRegularCWComplex_alt    Examples:

SimplicialK3Surface    Examples: 1 

SimplicialNerveOfFilteredGraph    Examples: 1 , 2 

SimplicialNerveOfTwoComplex    Examples:

SimplifiedQuandlePresentation    Examples:

SimplifiedRegularCWComplex    Examples: 1 

SimplifiedSparseChainComplex    Examples:

SmallCatOneGroup    Examples: 1 

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 , 2 

SparseMattoMat    Examples: 1 

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:

Suspension_alt    Examples:

SylowSubgroupOfCatOneGroup    Examples:

SymmetricCentre    Examples:

SymmetricCommutativityGroup    Examples:

TensorNonFreeResolutionWithRationals    Examples:

TensorWithBurnsideRing    Examples: 1 , 2 

TensorWithComplexRepresentationRing    Examples: 1 , 2 

TensorWithComplexRepresentationRingOnRight    Examples:

TensorWithIntegersModPSparse    Examples:

TensorWithIntegersOverSubgroup    Examples: 1 , 2 , 3 , 4 

TensorWithIntegersSparse    Examples:

TensorWithModPModule    Examples: 1 

TestHapBook    Examples:

TestHapQuick    Examples:

ThickenedHEPureCubicalComplex    Examples:

ThickenedPureComplex    Examples: 1 

ThickenedPureCubicalComplex_dim2    Examples:

ThirdHomotopyGroupOfSuspensionB_alt    Examples: 1 

ThreeManifoldViaDehnSurgery    Examples: 1 

ThreeManifoldWithBoundary    Examples: 1 

TransferChainMap    Examples: 1 

TransferCochainMap    Examples: 1 

TranslationSubGroup    Examples:

TreeOfResolutionsToSL2Zcomplex    Examples:

TruncatedRegularCWComplex    Examples:

Tube    Examples:

TupleOrbitReps    Examples:

TupleOrbitReps_perm    Examples:

TwistedResolution    Examples:

UnboundedArrayAssign    Examples:

UnitBall    Examples:

UnitCubicalBall    Examples:

UnitPermutahedralBall    Examples:

UniversalBarCodeEval    Examples:

UniversalCover    Examples: 1 , 2 , 3 , 4 

VectorToCrystMatrix    Examples:

VectorsToOneSkeleton    Examples: 1 

VerticesOfRegularCWCell    Examples:

View3dPureComplex    Examples:

ViewArc2Presentation    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 

Category_Of_Groups    Examples: 1 

PreImagesElmNC    Examples:

PreImagesNC    Examples:

PreImagesSetNC    Examples:

AsFpGroup    Examples:

BarycentricSubdivision    Examples: 1 , 2 

Bockstein    Examples: 1 , 2 , 3 

CategoryArrow    Examples:

CategoryObject    Examples:

ClosedSurface    Examples: 1 

CoboundaryMatrix    Examples:

CoefficientsOfPoincareSeries    Examples:

CohomologyClass    Examples: 1 , 2 

CohomologyRing    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 

ComplexProjectiveSpace    Examples: 1 

CompositionRingHomomorphism    Examples:

ConnectedComponentsQuandle    Examples:

ConnectedSum    Examples: 1 , 2 

DegreeOfRepresentative    Examples:

Dimensions    Examples:

ExcisedPair    Examples:

ExpandedComplex    Examples: 1 

FilteredRegularCWComplex    Examples: 1 

FundamentalGroupWithPathReps    Examples: 1 , 2 

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 

PersistentBettiNumbersAlt    Examples: 1 

PersistentHomology    Examples: 1 , 2 

PersistentHomology    Examples: 1 , 2 

PersistentHomology    Examples: 1 , 2 

PoincareSeriesAutoMem    Examples:

PoincareSeriesAutoMem    Examples:

PoincareSeriesAutoMemStop    Examples:

PolynomialToRModuleRep    Examples:

PreimageOfRingHomomorphism    Examples:

PureComplexMeet    Examples:

PureComplexRandomCell    Examples: 1 

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 , 33 , 34 

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:

StarGraph    Examples:

SubspaceBasisRepsByDegree    Examples:

SubspaceDimensionDegree    Examples:

Suspension    Examples: 1 , 2 , 3 , 4 , 5 

TrivialGModuleAsGOuterGroup    Examples: 1 , 2 , 3 , 4 

VertexLink    Examples:

VertexStar    Examples:

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:

Generators    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 

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 

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 

NormOfIdeal    Examples:

OuterAction    Examples:

OuterGroup    Examples: 1 , 2 , 3 , 4 

PresentationIdeal    Examples:

PresentationOfGradedStructureConstantAlgebra    Examples: 1 

Pullbacks    Examples:

Pushouts    Examples:

RightMultiplicationGroupOfQuandle    Examples: 1 , 2 , 3 

RightMultiplicationGroupOfQuandleAsPerm    Examples: 1 

SingularGroebnerBasis    Examples:

SingularReducedGroebnerBasis    Examples:

SourceGenerators    Examples:

SourcePolynomialRing    Examples:

SourceRelations    Examples:

StarGraphAttr    Examples:

TermsOfPolynomial    Examples:

UnivariateMonomialsOfMonomial    Examples:

CoefficientsRing    Examples:

ElementsFamily    Examples:

IndexInSL2Z    Examples:

Name    Examples: 1 , 2 , 3 , 4 , 5 , 6 

Order    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 

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 , 2 

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:

IsHapEquivariantNonFreeChainComplex    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:

IsHapEquivariantNonFreeChainComplexRep    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 

*    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 

*    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 , 40 , 41 , 42 , 43 

+    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 

+    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 

    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 

=    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 

=    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 

AdditiveInverseMutable    Examples:

AsFpGroup    Examples:

AsList    Examples:

AsSSortedList    Examples:

BarycentricSubdivision    Examples: 1 , 2 

BaseRing    Examples:

Bockstein    Examples: 1 , 2 , 3 

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 , 2 

CoxeterMatrix    Examples: 1 

DefaultFieldOfMatrixGroup    Examples:

DegreeOfRepresentative    Examples:

DerivationImages    Examples:

DerivationRelations    Examples:

DerivationRing    Examples:

Dimensions    Examples:

Enumerator    Examples:

ExcisedPair    Examples:

FilteredRegularCWComplex    Examples: 1 

FundamentalGroupWithPathReps    Examples: 1 , 2 

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 , 22 , 23 

GeneratorsOfMagmaWithInverses    Examples:

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 

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 , 35 , 36 , 37 , 38 

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 , 2 

Kernel    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 

KernelOfDerivation    Examples:

MaximumDegreeForPresentation    Examples:

ModPRingBasisAsPolynomials    Examples:

ModPRingGeneratorDegrees    Examples:

ModPRingNiceBasis    Examples:

ModPRingNiceBasisAsPolynomials    Examples:

OneImmutable    Examples:

OneMutable    Examples:

PathComponents    Examples: 1 

PersistentBettiNumbersAlt    Examples: 1 

PreimageOfRingHomomorphism    Examples:

PresentationIdeal    Examples:

PresentationOfGradedStructureConstantAlgebra    Examples: 1 

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:

PrintObj    Examples:

PrintObj    Examples:

Projection    Examples:

PureComplexMeet    Examples:

PureComplexRandomCell    Examples: 1 

PureComplexSubcomplex    Examples:

Pushout    Examples:

QuadraticIdeal    Examples: 1 

Random    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 

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 , 33 , 34 

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:

StarGraphAttr    Examples:

SubspaceBasisRepsByDegree    Examples:

SubspaceDimensionDegree    Examples:

Suspension    Examples: 1 , 2 , 3 , 4 , 5 

TensorProductOp    Examples:

TermsOfPolynomial    Examples:

TrivialGModuleAsGOuterGroup    Examples: 1 , 2 , 3 , 4 

Units    Examples:

Units    Examples:

UnivariateMonomialsOfMonomial    Examples:

VertexLink    Examples:

VertexStar    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:

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 

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 

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 

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 

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 

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 

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 , 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 

*    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 

*    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 

+    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 

+    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 

+    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 

-    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 

-    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 

/    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 

    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 

=    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 

=    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 

=    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 

=    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 

=    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 

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 , 2 

Bockstein    Examples: 1 , 2 , 3 

CanonicalRightCosetElement    Examples:

ClosedSurface    Examples: 1 

CohomologyRing    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 

CohomologyRing    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 

ComplexProjectiveSpace    Examples: 1 

ConnectedSum    Examples: 1 , 2 

ConnectedSum    Examples: 1 , 2 

ConnectedSum    Examples: 1 , 2 

Dimensions    Examples:

DirectProductOp    Examples:

DirectProductOp    Examples:

DirectProductOp    Examples:

DirectProductOp    Examples:

Discriminant    Examples:

Discriminant    Examples:

Embedding    Examples:

ExpandedComplex    Examples: 1 

ExpandedComplex    Examples: 1 

ExpandedComplex    Examples: 1 

ExpandedComplex    Examples: 1 

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 , 22 , 23 

HAPRingReductionHomomorphism    Examples:

HAPRingReductionHomomorphism    Examples:

HAP_EquivalenceClasses    Examples:

ImageOfRingHomomorphism    Examples:

ImageOfRingHomomorphism    Examples:

IndexNC    Examples:

IndexNC    Examples:

InverseMutable    Examples:

InverseMutable    Examples:

InverseMutable    Examples:

InverseSameMutability    Examples:

IsEmpty    Examples:

IsEmpty    Examples:

IsPrime    Examples: 1 , 2 

IsomorphismFpGroup    Examples: 1 , 2 

Iterator    Examples:

KernelOfDerivation    Examples:

ListOp    Examples:

ListOp    Examples:

LowerGCentralSeries    Examples:

NaturalHomomorphism    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 

Norm    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 

Norm    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 

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 , 23 

Order    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 

PersistentBettiNumbersAlt    Examples: 1 

PersistentBettiNumbersAlt    Examples: 1 

PersistentBettiNumbersAlt    Examples: 1 

PersistentBettiNumbersAlt    Examples: 1 

PersistentBettiNumbersAlt    Examples: 1 

PersistentHomology    Examples: 1 , 2 

PersistentHomology    Examples: 1 , 2 

Position    Examples: 1 , 2 

Position    Examples: 1 , 2 

Position    Examples: 1 , 2 

PositionCanonical    Examples:

PreimageOfRingHomomorphism    Examples:

Projection    Examples:

PureComplexMeet    Examples:

PureComplexRandomCell    Examples: 1 

PureComplexSubcomplex    Examples:

QuadraticIdeal    Examples: 1 

Range    Examples: 1 , 2 

RankMatrixDestructive    Examples:

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    Examples:

RightTransversal_alt    Examples:

SingularPolynomialNormalForm    Examples:

SparseChainComplexOfPair    Examples:

Sphere    Examples: 1 

SubspaceBasisRepsByDegree    Examples:

SubspaceDimensionDegree    Examples:

Suspension    Examples: 1 , 2 , 3 , 4 , 5 

TensorProductOp    Examples:

TensorProductOp    Examples:

TensorProductOp    Examples:

Trace    Examples:

Units    Examples:

WedgeSum    Examples: 1 

WedgeSum    Examples: 1 

WedgeSum    Examples: 1 

[]    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 

[]    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 

[]    Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 

^    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 

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 

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 

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 

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 

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 , 39 

PathComponentOfSimplicialComplex    Examples:

ResolutionSL2ZInvertedInteger    Examples:

ViewGraph    Examples:

InfoHAPprime    Examples:

ASY_PATH    Examples:

AutomorphismGroupAsCrossedModule    Examples:

BROWSER_PATH    Examples:

CATONEGROUP_DATA_PERM    Examples:

CATONEGROUP_DATA_SIZE    Examples:

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:

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_PoincareCubeManifoldEdgeDegrees    Examples:

HAP_Test    Examples:

HAP_XYXYXYXY    Examples:

HAPchildFunctionToggle    Examples:

HAPchildToggle    Examples:

HAPchildren    Examples:

HapConjQuandElt    Examples:

HapConjQuandEltFamily    Examples:

HapConstantPolRing    Examples:

HapEquivariantChainComplex    Examples:

HapEquivariantChainComplexFamily    Examples:

HapEquivariantNonFreeChainComplex    Examples:

HapEquivariantNonFreeChainComplexFamily    Examples:

HapEquivariantSpectralSequencePage    Examples:

HapEquivariantSpectralSequencePageFamily    Examples:

HapGComplexMap    Examples:

HapGComplexMapFamily    Examples:

HapQuandlePresentation    Examples:

HapQuandlePresentationFamily    Examples:

HapRightTransversalSL2ZSubgroup    Examples:

HapSL2ZConjugatedSubgroup    Examples:

HapSL2ZSubgroup    Examples:

HapSimplicialFreeAbelianGroup    Examples:

HapSimplicialFreeAbelianGroupFamily    Examples:

HapTorsionSubcomplex    Examples:

HapTorsionSubcomplexFamily    Examples:

IntersectionForm    Examples: 1 , 2 

IsHapRightTransversalSL2ZSubgroup    Examples:

IsHapSL2ConjugatedSubgroup    Examples:

IsHapSL2OSubgroup    Examples:

IsHapSL2Subgroup    Examples:

IsHapSL2ZConjugatedSubgroup    Examples:

IsHapSL2ZSubgroup    Examples:

RefinedColouring_gc    Examples:

RefinedColouring_group    Examples:

RegularCWAssociahedronWithDiscreteVectorField    Examples:

RegularCWClosedSurface    Examples:

RegularCWComplexWithAttachedRelatorCells    Examples: 1 

RegularCWComplex_DisjointUnion    Examples:

RegularCWComplex_WedgeSum    Examples:

RegularCWDiscreteSpace    Examples: 1 

RegularCWSphere    Examples: 1 

SimplicialComplexConnectedSum    Examples:

SphericalKnotComplementWithBoundary    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 , 28 

cnt    Examples:

hap_cr    Examples:

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