[1XIndex[0X [2X=[0X (for FpGModuleGF) 5.8-1 [2XAmbientModuleDimension[0X 5.4-9 [2XBaseRing[0X 4.3-1 [2XBestCentralSubgroupForResolutionFiniteExtension[0X 2.6-1 [2XBoundaryFpGModuleHomomorphismGF[0X 2.4-6 [2XCanonicalAction[0X 5.3-4 [2XCanonicalActionOnRight[0X 5.3-4 [2XCanonicalGroupAndAction[0X 5.3-4 [2XCoefficientsOfPoincareSeries[0X 4.4-8 [2XCoefficientsRing[0X 4.3-2 [2XCompositionRingHomomorphism[0X 7.2-8 [2XDegreeOfRepresentative[0X 4.4-4 [2XDerivationImages[0X 8.4-2 [2XDerivationRelations[0X 8.4-3 [2XDerivationRing[0X 8.4-1 [2XDirectDecompositionOfModule[0X 5.7-2 [2XDirectDecompositionOfModuleDestructive[0X 5.7-2 [2XDirectSumOfModules[0X (for collection of modules) 5.7-1 [2XDirectSumOfModules[0X (for n copies of the same module) 5.7-1 [2XDirectSumOfModules[0X (for two modules) 5.7-1 [2XDisplayBlocks[0X (for FpGModuleGF) 5.4-10 [2XDisplayBlocks[0X (for FpGModuleHomomorphismGF) 6.5-4 [2XDisplayModuleHomomorphismGeneratorMatrix[0X 6.5-5 [2XDisplayModuleHomomorphismGeneratorMatrixBlocks[0X 6.5-6 [2XEchelonModuleGenerators[0X 5.6-1 [2XEchelonModuleGeneratorsDestructive[0X 5.6-1 [2XEchelonModuleGeneratorsMinMem[0X 5.6-1 [2XEchelonModuleGeneratorsMinMemDestructive[0X 5.6-1 [2XFpGModuleFromFpGModuleGF[0X 5.3-2 [2XFpGModuleGF[0X (construction from FpGModule) 5.3-1 [2XFpGModuleGF[0X (construction from generators and groupAndAction) 5.3-1 [2XFpGModuleGF[0X (construction from generators, group and action) 5.3-1 [2XFpGModuleGF[0X (construction of empty module from group and action) 5.3-1 [2XFpGModuleGF[0X (construction of empty module from groupAndAction) 5.3-1 [2XFpGModuleGF[0X (construction of full canonical module from groupAndAction) 5.3-1 [2XFpGModuleGF[0X (construction of full canonical module) 5.3-1 [2XFpGModuleGFNC[0X (construction for empty module with group and action) 5.3-1 [2XFpGModuleGFNC[0X (construction from generators and groupAndAction) 5.3-1 [2XFpGModuleGFNC[0X (construction from generators, group and action) 5.3-1 [2XFpGModuleHomomorphismGF[0X 6.4-1 [2XFpGModuleHomomorphismGFNC[0X 6.4-1 [2XGeneratorsOfPresentationIdeal[0X 4.3-4 [2XGradedAlgebraPresentation[0X 4.2-1 [2XGradedAlgebraPresentationNC[0X 4.2-1 [2XHallSeniorNumber[0X (for SmallGroup library ref) 10.4-1 [2XHallSeniorNumber[0X (for group) 10.4-1 [2XHAPDerivation[0X 8.3-1 [2XHAPDerivationNC[0X 8.3-1 [2XHAPRingHomomorphismByIndeterminateMap[0X 7.2-3 [2XHAPRingReductionHomomorphism[0X (for image of ring homomorphism) 7.2-4 [2XHAPRingReductionHomomorphism[0X (for ring presentation) 7.2-4 [2XHAPRingToSubringHomomorphism[0X 7.2-1 [2XHAPSubringToRingHomomorphism[0X (for relations defined at image) 7.2-2 [2XHAPSubringToRingHomomorphism[0X (for relations defined at source) 7.2-2 [2XHAPZeroRingHomomorphism[0X 7.2-6 [2XHilbertPoincareSeries[0X 4.4-9 [2XHomologyOfDerivation[0X 8.5-3 [2XImageGenerators[0X 7.3-4 [2XImageOfDerivation[0X 8.5-1 [2XImageOfModuleHomomorphism[0X (image of homomorphism) 6.6-1 [2XImageOfModuleHomomorphism[0X (of collections of elements) 6.6-1 [2XImageOfModuleHomomorphism[0X (of element) 6.6-1 [2XImageOfModuleHomomorphism[0X (of module) 6.6-1 [2XImageOfModuleHomomorphismDestructive[0X (of collection of elements) 6.6-1 [2XImageOfModuleHomomorphismDestructive[0X (of element) 6.6-1 [2XImageOfRingHomomorphism[0X (for collection of polynomials) 7.4-1 [2XImageOfRingHomomorphism[0X (for one polynomial) 7.4-1 [2XImagePolynomialRing[0X 7.3-6 [2XImageRelations[0X 7.3-5 [2XIndeterminateAndExponentOfUnivariateMonomial[0X 10.2-4 [2XIndeterminateDegrees[0X 4.3-6 [2XIndeterminatesOfGradedAlgebraPresentation[0X 4.3-3 [2XIndeterminatesOfPolynomial[0X 10.2-5 [2XIntersectionModules[0X 5.7-3 [2XIntersectionModulesGF[0X 5.7-3 [2XIntersectionModulesGF2[0X 5.7-3 [2XIntersectionModulesGFDestructive[0X 5.7-3 [2XInverseRingHomomorphism[0X 7.2-7 [2XIsAssociatedGradedRing[0X 4.4-3 [2XIsIsomorphicGradedAlgebra[0X 4.4-2 [2XIsModuleElement[0X (for collection of elements) 5.8-2 [2XIsModuleElement[0X (for element) 5.8-2 [2XIsMonomial[0X (for polynomial) 10.2-2 [2XIsSameSubspace[0X 10.1-3 [2XIsSubModule[0X 5.8-3 [2XKernelOfDerivation[0X 8.5-2 [2XKernelOfModuleHomomorphism[0X 6.6-3 [2XKernelOfModuleHomomorphismGF[0X 6.6-3 [2XKernelOfModuleHomomorphismIndependentSplit[0X 6.6-3 [2XKernelOfModuleHomomorphismSplit[0X 6.6-3 [2XLengthOneResolutionPrimePowerGroup[0X 2.3-1 [2XLengthZeroResolutionPrimePowerGroup[0X 2.3-2 [2XLHSSpectralSequence[0X 4.4-10 [2XLHSSpectralSequenceLastSheet[0X 4.4-10 [2XMaximumDegreeForPresentation[0X 4.4-5 [2XMinimalGeneratorsModuleGF[0X 5.5-9 [2XMinimalGeneratorsModuleGFDestructive[0X 5.5-9 [2XMinimalGeneratorsModuleRadical[0X 5.5-9 [2XModPRingBasisAsPolynomials[0X 3.2-4 [2XModPRingGeneratorDegrees[0X 3.2-1 [2XModPRingNiceBasis[0X 3.2-2 [2XModPRingNiceBasisAsPolynomials[0X 3.2-3 [2XModuleAction[0X 5.4-3 [2XModuleActionBlockSize[0X 5.4-4 [2XModuleAmbientDimension[0X 5.4-8 [2XModuleCharacteristic[0X 5.4-6 [2XModuleField[0X 5.4-7 [2XModuleGenerators[0X 5.5-1 [2XModuleGeneratorsAreEchelonForm[0X 5.5-3 [2XModuleGeneratorsAreMinimal[0X 5.5-2 [2XModuleGeneratorsForm[0X 5.5-5 [2XModuleGroup[0X 5.4-1 [2XModuleGroupAndAction[0X 5.4-5 [2XModuleGroupOrder[0X 5.4-2 [2XModuleHomomorphismGeneratorMatrix[0X 6.5-3 [2XModuleIsFullCanonical[0X 5.5-4 [2XModuleRank[0X 5.5-6 [2XModuleRankDestructive[0X 5.5-6 [2XModuleVectorSpaceBasis[0X 5.5-7 [2XModuleVectorSpaceDimension[0X 5.5-8 [2XMutableCopyModule[0X 5.3-3 [2XPartialCompositionRingHomomorphism[0X 7.2-5 [2XPoincareSeriesAutoMem[0X 9.2-1 [2XPreimageOfRingHomomorphism[0X (for collection of polynomials) 7.4-2 [2XPreimageOfRingHomomorphism[0X (for one polynomial) 7.4-2 [2XPreImageRepresentativeOfModuleHomomorphism[0X (for collection of elements) 6.6-2 [2XPreImageRepresentativeOfModuleHomomorphism[0X (for element) 6.6-2 [2XPreImageRepresentativeOfModuleHomomorphism[0X (for module) 6.6-2 [2XPreImageRepresentativeOfModuleHomomorphismGF[0X (for collection of elements) 6.6-2 [2XPreImageRepresentativeOfModuleHomomorphismGF[0X (for element) 6.6-2 [2XPresentationIdeal[0X 4.3-5 [2XPresentationOfGradedStructureConstantAlgebra[0X 3.3-1 [2XPrintDimensionsMat[0X 10.1-4 [2XRadicalOfModule[0X 5.5-10 [2XRandomElement[0X 5.8-4 [2XRandomSubmodule[0X 5.8-5 [2XReducedPolynomialRingPresentation[0X 10.2-7 [2XReducedPolynomialRingPresentationMap[0X 10.2-7 [2XReduceIdeal[0X (for Ideal) 10.2-6 [2XReduceIdeal[0X (for list of relations) 10.2-6 [2XResolutionFpGModuleGF[0X 2.4-3 [2XResolutionGroup[0X 2.4-2 [2XResolutionLength[0X 2.4-1 [2XResolutionModuleRank[0X 2.4-4 [2XResolutionModuleRanks[0X 2.4-5 [2XResolutionsAreEqual[0X 2.4-7 [2XReverseEchelonModuleGenerators[0X 5.6-2 [2XReverseEchelonModuleGeneratorsDestructive[0X 5.6-2 [2XSemiEchelonModuleGenerators[0X 5.6-1 [2XSemiEchelonModuleGeneratorsDestructive[0X 5.6-1 [2XSemiEchelonModuleGeneratorsMinMem[0X 5.6-1 [2XSemiEchelonModuleGeneratorsMinMemDestructive[0X 5.6-1 [2XSingularGroebnerBasis[0X 10.3-3 [2XSingularPolynomialNormalForm[0X 10.3-2 [2XSingularReducedGroebnerBasis[0X 10.3-4 [2XSingularSetNormalFormIdeal[0X 10.3-1 [2XSingularSetNormalFormIdealNC[0X 10.3-1 [2XSolutionMat[0X (for multiple vectors) 10.1-2 [2XSolutionMatDestructive[0X (for multiple vectors) 10.1-2 [2XSourceGenerators[0X 7.3-1 [2XSourceModule[0X 6.5-1 [2XSourcePolynomialRing[0X 7.3-3 [2XSourceRelations[0X 7.3-2 [2XSubspaceBasisRepsByDegree[0X (for list of degrees) 4.4-7 [2XSubspaceBasisRepsByDegree[0X (for one degree) 4.4-7 [2XSubspaceDimensionDegree[0X (for list of degrees) 4.4-6 [2XSubspaceDimensionDegree[0X (for one degree) 4.4-6 [2XSumIntersectionMatDestructive[0X 10.1-1 [2XSumIntersectionMatDestructiveSE[0X 10.1-1 [2XSumModules[0X 5.7-4 [2XTargetModule[0X 6.5-2 [2XTensorProduct[0X (for collection of algebra presentations) 4.4-1 [2XTensorProduct[0X (for two algebra presentations) 4.4-1 [2XTermsOfPolynomial[0X 10.2-1 [2XUnivariateMonomialsOfMonomial[0X 10.2-3 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