Spracherkennung für: .ipynb vermutete Sprache: Unknown {[0] [0] [0]} [Methode: Schwerpunktbildung, einfache Gewichte, sechs Dimensionen]
{
"cells": [
{
"cell_type": "markdown",
"id": "1023ec3f",
"metadata": {},
"source": [
"### Variables and Objects\n",
"In GAP (and most other programming languages), constants always have the same meaning. On the other side of things are variables, which have an associated identifier and a meaning that depends on what has been assigned to them.\n",
"\n",
"Assignments are done in GAP using the `:=` operator, with the identifier of the variable on the left and the value/object to be assigned on the right. Almost any GAP object can be assigned to a variable. After assignment, the variable will evalute to that object if evaluated. As such, it is possible to refer to the object by the name of the variable in any situation:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "f25c63ce",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2"
]
},
"execution_count": 3,
"metadata": {
"text/plain": ""
},
"output_type": "execute_result"
}
],
"source": [
"a := 9 - 7;"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "7379987a",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"6"
]
},
"execution_count": 4,
"metadata": {
"text/plain": ""
},
"output_type": "execute_result"
}
],
"source": [
"a + 4;"
]
},
{
"cell_type": "markdown",
"id": "62762ac2",
"metadata": {},
"source": [
"After an assignment, the value/object of the assigned variable is printed. This printing can be prevented by doubling up the semicolon at the end of the assignment command:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "44d0f53f",
"metadata": {},
"outputs": [],
"source": [
"b := 22;;"
]
},
{
"cell_type": "markdown",
"id": "361d9381",
"metadata": {},
"source": [
"In Jupyter, variable assignments are kept across cells. As such, the variables defined earlier will be accessible in cells run after, and can be accessed or reassigned as necessary."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "83f675ff",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"24"
]
},
"execution_count": 6,
"metadata": {
"text/plain": ""
},
"output_type": "execute_result"
}
],
"source": [
"a + b;"
]
},
{
"cell_type": "markdown",
"id": "eb591787",
"metadata": {},
"source": [
"GAP also contains a number of pre-defined variables. You can get an overview of all the current variables in GAP by entering the function `NamesGVars()`. Many of these are predefined by the GAP kernel:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "2306161f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[ \"*\", \"+\", \"-\", \".\", \".:=\", \"/\", \"16Bits_AssocWord\", \"16Bits_CombiCollector\", \"16Bits_DepthOfPcElement\", \"16Bits_Equal\", \"16Bits_ExponentOfPcElement\", \"16Bits_ExponentSums1\", \"16Bits_ExponentSums3\", \"16Bits_ExponentSyllable\", \"16Bits_ExponentsOfPcElement\", \"16Bits_ExtRepOfObj\", \"16Bits_GeneratorSyllable\", \"16Bits_HeadByNumber\", \"16Bits_LeadingExponentOfPcElement\", \"16Bits_LengthWord\", \"16Bits_Less\", \"16Bits_ObjByVector\", \"16Bits_Power\", \"16Bits_Product\", \"16Bits_Quotient\", \"16Bits_SingleCollector\", \"32Bits_AssocWord\", \"32Bits_CombiCollector\", \"32Bits_DepthOfPcElement\", \"32Bits_Equal\", \"32Bits_ExponentOfPcElement\", \"32Bits_ExponentSums1\", \"32Bits_ExponentSums3\", \"32Bits_ExponentSyllable\", \"32Bits_ExponentsOfPcElement\", \"32Bits_ExtRepOfObj\", \"32Bits_GeneratorSyllable\", \"32Bits_HeadByNumber\", \"32Bits_LeadingExponentOfPcElement\", \"32Bits_LengthWord\", \"32Bits_Less\", \"32Bits_ObjByVector\", \"32Bits_Power\", \"32Bits_Product\", \"32Bits_Quotient\", \"32Bits_SingleCollector\", \"8Bits_AssocWord\", \"8Bits_CombiCollector\", \"8Bits_DepthOfPcElement\", \"8Bits_Equal\", \"8Bits_ExponentOfPcElement\", \"8Bits_ExponentSums1\", \"8Bits_ExponentSums3\", \"8Bits_ExponentSyllable\", \"8Bits_ExponentsOfPcElement\", \"8Bits_ExtRepOfObj\", \"8Bits_GeneratorSyllable\", \"8Bits_HeadByNumber\", \"8Bits_LeadingExponentOfPcElement\", \"8Bits_LengthWord\", \"8Bits_Less\", \"8Bits_ObjByVector\", \"8Bits_Power\", \"8Bits_Product\", \"8Bits_Quotient\", \"8Bits_SingleCollector\", \"<\", \"=\", \"ABELIAN_NUMBER_FIELDS\", \"ABS_INT\", \"ABS_MACFLOAT\", \"ABS_RAT\", \"ACDim3Funcs\", \"ACDim3Nr01\", \"ACDim3Nr02\", \"ACDim3Nr03\", \"ACDim3Nr04\", \"ACDim3Nr05\", \"ACDim3Nr06\", \"ACDim3Nr07\", \"ACDim3Nr08\", \"ACDim3Nr09\", \"ACDim3Nr10\", \"ACDim3Nr11\", \"ACDim3Nr12\", \"ACDim3Nr13\", \"ACDim3Nr14\", \"ACDim3Nr15\", \"ACDim3Nr16\", \"ACDim3Nr17\", \"ACDim3Param\", \"ACDim4Funcs\", \"ACDim4Nr001\", \"ACDim4Nr002\", \"ACDim4Nr003\", \"ACDim4Nr004\", \"ACDim4Nr004b\", \"ACDim4Nr005\", \"ACDim4Nr006\", \"ACDim4Nr007\", \"ACDim4Nr007b\", \"ACDim4Nr008\", \"ACDim4Nr009\", \"ACDim4Nr009b\", \"ACDim4Nr010\", \"ACDim4Nr011\", \"ACDim4Nr012\", \"ACDim4Nr013\", \"ACDim4Nr014\", \"ACDim4Nr014b\", \"ACDim4Nr015\", \"ACDim4Nr018\", \"ACDim4Nr019\", \"ACDim4Nr019b\", \"ACDim4Nr019c\", \"ACDim4Nr026\", \"ACDim4Nr027\", \"ACDim4Nr029\", \"ACDim4Nr029b\", \"ACDim4Nr029c\", \"ACDim4Nr030\", \"ACDim4Nr031\", \"ACDim4Nr032\", \"ACDim4Nr033\", \"ACDim4Nr033b\", \"ACDim4Nr033c\", \"ACDim4Nr034\", \"ACDim4Nr036\", \"ACDim4Nr037\", \"ACDim4Nr041\", \"ACDim4Nr043\", \"ACDim4Nr045\", \"ACDim4Nr055\", \"ACDim4Nr056\", \"ACDim4Nr058\", \"ACDim4Nr060\", \"ACDim4Nr061\", \"ACDim4Nr061b\", \"ACDim4Nr061c\", \"ACDim4Nr062\", \"ACDim4Nr075\", \"ACDim4Nr076\", \"ACDim4Nr077\", \"ACDim4Nr079\", \"ACDim4Nr080\", \"ACDim4Nr081\", \"ACDim4Nr082\", \"ACDim4Nr083\", \"ACDim4Nr084\", \"ACDim4Nr085\", \"ACDim4Nr086\", \"ACDim4Nr087\", \"ACDim4Nr088\", \"ACDim4Nr103\", \"ACDim4Nr104\", \"ACDim4Nr106\", \"ACDim4Nr110\", \"ACDim4Nr114\", \"ACDim4Nr143\", \"ACDim4Nr144\", \"ACDim4Nr146\", \"ACDim4Nr147\", \"ACDim4Nr148\", \"ACDim4Nr158\", \"ACDim4Nr159\", \"ACDim4Nr161\", \"ACDim4Nr168\", \"ACDim4Nr169\", \"ACDim4Nr172\", \"ACDim4Nr173\", \"ACDim4Nr174\", \"ACDim4Nr175\", \"ACDim4Nr176\", \"ACDim4Nr184\", \"ACDim4NrB1\", \"ACDim4NrB2\", \"ACDim4NrB3\", \"ACDim4NrB3b\", \"ACDim4NrB3c\", \"ACDim4NrB4\", \"ACDim4NrB4b\", \"ACDim4NrB5\", \"ACDim4NrB5b\", \"ACDim4NrB7\", \"ACDim4NrB7b\", \"ACDim4NrB8\", \"ACDim4NrB8b\", \"ACDim4Param\", \"ACDim4Types\", \"ACLT\", \"ACOS_MACFLOAT\", \"ACPcpDim3Funcs\", \"ACPcpDim4Funcs\", \"ACPcpGroupDim3Nr01\", \"ACPcpGroupDim3Nr02\", \"ACPcpGroupDim3Nr03\", \"ACPcpGroupDim3Nr04\", \"ACPcpGroupDim3Nr05\", \"ACPcpGroupDim3Nr06\", \"ACPcpGroupDim3Nr07\", \"ACPcpGroupDim3Nr08\", \"ACPcpGroupDim3Nr09\", \"ACPcpGroupDim3Nr10\", \"ACPcpGroupDim3Nr11\", \"ACPcpGroupDim3Nr12\", \"ACPcpGroupDim3Nr13\", \"ACPcpGroupDim3Nr14\", \"ACPcpGroupDim3Nr15\", \"ACPcpGroupDim3Nr16\", \"ACPcpGroupDim3Nr17\", \"ACPcpGroupDim4Nr001\", \"ACPcpGroupDim4Nr002\", \"ACPcpGroupDim4Nr003\", \"ACPcpGroupDim4Nr004\", \"ACPcpGroupDim4Nr004b\", \"ACPcpGroupDim4Nr005\", \"ACPcpGroupDim4Nr006\", \"ACPcpGroupDim4Nr007\", \"ACPcpGroupDim4Nr007b\", \"ACPcpGroupDim4Nr008\", \"ACPcpGroupDim4Nr009\", \"ACPcpGroupDim4Nr009b\", \"ACPcpGroupDim4Nr010\", \"ACPcpGroupDim4Nr011\", \"ACPcpGroupDim4Nr012\", \"ACPcpGroupDim4Nr013\", \"ACPcpGroupDim4Nr014\", \"ACPcpGroupDim4Nr014b\", \"ACPcpGroupDim4Nr015\", \"ACPcpGroupDim4Nr018\", \"ACPcpGroupDim4Nr019\", \"ACPcpGroupDim4Nr019b\", \"ACPcpGroupDim4Nr019c\", \"ACPcpGroupDim4Nr026\", \"ACPcpGroupDim4Nr027\", \"ACPcpGroupDim4Nr029\", \"ACPcpGroupDim4Nr029b\", \"ACPcpGroupDim4Nr029c\", \"ACPcpGroupDim4Nr030\", \"ACPcpGroupDim4Nr031\", \"ACPcpGroupDim4Nr032\", \"ACPcpGroupDim4Nr033\", \"ACPcpGroupDim4Nr033b\", \"ACPcpGroupDim4Nr033c\", \"ACPcpGroupDim4Nr034\", \"ACPcpGroupDim4Nr036\", \"ACPcpGroupDim4Nr037\", \"ACPcpGroupDim4Nr041\", \"ACPcpGroupDim4Nr043\", \"ACPcpGroupDim4Nr045\", \"ACPcpGroupDim4Nr055\", \"ACPcpGroupDim4Nr056\", \"ACPcpGroupDim4Nr058\", \"ACPcpGroupDim4Nr060\", \"ACPcpGroupDim4Nr061\", \"ACPcpGroupDim4Nr061b\", \"ACPcpGroupDim4Nr061c\", \"ACPcpGroupDim4Nr062\", \"ACPcpGroupDim4Nr075\", \"ACPcpGroupDim4Nr076\", \"ACPcpGroupDim4Nr077\", \"ACPcpGroupDim4Nr079\", \"ACPcpGroupDim4Nr080\", \"ACPcpGroupDim4Nr081\", \"ACPcpGroupDim4Nr082\", \"ACPcpGroupDim4Nr083\", \"ACPcpGroupDim4Nr084\", \"ACPcpGroupDim4Nr085\", \"ACPcpGroupDim4Nr086\", \"ACPcpGroupDim4Nr087\", \"ACPcpGroupDim4Nr088\", \"ACPcpGroupDim4Nr103\", \"ACPcpGroupDim4Nr104\", \"ACPcpGroupDim4Nr106\", \"ACPcpGroupDim4Nr110\", \"ACPcpGroupDim4Nr114\", \"ACPcpGroupDim4Nr143\", \"ACPcpGroupDim4Nr144\", \"ACPcpGroupDim4Nr146\", \"ACPcpGroupDim4Nr147\", \"ACPcpGroupDim4Nr148\", \"ACPcpGroupDim4Nr158\", \"ACPcpGroupDim4Nr159\", \"ACPcpGroupDim4Nr161\", \"ACPcpGroupDim4Nr168\", \"ACPcpGroupDim4Nr169\", \"ACPcpGroupDim4Nr172\", \"ACPcpGroupDim4Nr173\", \"ACPcpGroupDim4Nr174\", \"ACPcpGroupDim4Nr175\", \"ACPcpGroupDim4Nr176\", \"ACPcpGroupDim4Nr184\", \"ACPcpGroupDim4NrB1\", \"ACPcpGroupDim4NrB2\", \"ACPcpGroupDim4NrB3\", \"ACPcpGroupDim4NrB3b\", \"ACPcpGroupDim4NrB3c\", \"ACPcpGroupDim4NrB4\", \"ACPcpGroupDim4NrB4b\", \"ACPcpGroupDim4NrB5\", \"ACPcpGroupDim4NrB5b\", \"ACPcpGroupDim4NrB7\", \"ACPcpGroupDim4NrB7b\", \"ACPcpGroupDim4NrB8\", \"ACPcpGroupDim4NrB8b\", \"ACROREAD_FILE\", \"ACROREAD_OPTIONS\", \"ACTIVATE_COLOR_PROFILING\", \"ACTIVATE_PROFILING\", \"AClosVecLib\", \"AClosestVectorCombinationsMatFFEVecFFE\", \"AClosestVectorCombinationsMatFFEVecFFECoords\", \"AClosestVectorDriver\", \"ADDCOEFFS_GENERIC_3\", \"ADDCOEFFS_GF2VEC_GF2VEC\", \"ADDCOEFFS_GF2VEC_GF2VEC_MULT\", \"ADDITIVE_INV_POLYNOMIAL\", \"ADDITIVE_INV_RATFUN\", \"ADD_COEFFS_VEC8BIT_2\", \"ADD_COEFFS_VEC8BIT_3\", \"ADD_GF2VEC_GF2VEC_SHIFTED\", \"ADD_LIST\", \"ADD_LIST_DEFAULT\", \"ADD_OBJ_MAP\", \"ADD_OBJ_SET\", \"ADD_ROWVECTOR_VEC8BITS_2\", \"ADD_ROWVECTOR_VEC8BITS_3\", \"ADD_ROWVECTOR_VEC8BITS_5\", \"ADD_ROWVECTOR_VECFFES_2\", \"ADD_ROWVECTOR_VECFFES_3\", \"ADD_ROW_VECTOR_2\", \"ADD_ROW_VECTOR_2_FAST\", \"ADD_ROW_VECTOR_3\", \"ADD_ROW_VECTOR_3_FAST\", \"ADD_ROW_VECTOR_5\", \"ADD_ROW_VECTOR_5_FAST\", \"ADD_SET\", \"ADD_TO_LIST_ENTRIES_PLIST_RANGE\", \"ADJUST_FIELDS_VEC8BIT\", \"ADOPT\", \"ADOPT_NORECURSE\", \"AFLT\", \"AGEST\", \"AGESTC\", \"AGR\", \"AGRGNAN\", \"AGRParseFilenameFormat\", \"AGRRNG\", \"AGRTOC\", \"AGRTOCEXT\", \"AGR_InfoForName\", \"AGR_TablesOfContents\", \"AGSRAutomLift\", \"AGSRFindRels\", \"AGSRMatchedCharacteristics\", \"AGSRModuleLayerSeries\", \"AGSRPrepareAutomLift\", \"AGSRSolMat\", \"AINV\", \"AINV_LIST_DEFAULT\", \"AINV_MUT\", \"AINV_MUT_LIST_DEFAULT\", \"AINV_VEC8BIT_IMMUTABLE\", \"AINV_VEC8BIT_MUTABLE\", \"AINV_VEC8BIT_SAME_MUTABILITY\", \"AISMatrixGroup\", \"AK_PM_BK_MOD_2520\", \"ALL_KEYWORDS\", \"ALL_RNAMES\", \"AL_EXECUTABLE\", \"AL_ExponentsTrivialUnits\", \"AL_HomogeneousSeriesAbelianRMGroup\", \"AL_MatricesGeneratingNumberField\", \"AL_OPTIONS\", \"AL_PATH\", \"AL_RadicalOfAbelianRMGroup\", \"AL_STACKSIZE\", \"AL_SplitSemisimple\", \"AND_FLAGS\", \"ANFAutomorphism\", \"ANMAXPRIMS\", \"ANonReesCongruenceOfSemigroup\", \"APPEND_GF2VEC\", \"APPEND_LIST\", \"APPEND_LIST_DEFAULT\", \"APPEND_LIST_INTR\", \"APPEND_TO\", \"APPEND_TO_STREAM\", \"APPEND_VEC8BIT\", \"APPROXROOTS\", \"APolyProd\", \"ARCH_IS_MAC_OS_X\", \"ARCH_IS_UNIX\", \"ARCH_IS_WINDOWS\", \"ASIN_MACFLOAT\", \"ASSS_LIST\", \"ASSS_LIST_DEFAULT\", \"ASS_GF2MAT\", \"ASS_GF2VEC\", \"ASS_GVAR\", \"ASS_LIST\", \"ASS_MAT\", \"ASS_MAT8BIT\", \"ASS_PLIST_DEFAULT\", \"ASS_REC\", \"ASS_VEC8BIT\", \"AS_LIST_SORTED_LIST\", \"AS_PERM_PPERM\", \"AS_PERM_TRANS\", \"AS_PPERM_PERM\", \"AS_TRANS_PERM\", \"AS_TRANS_PERM_INT\", \"AS_TRANS_TRANS\", \"ATAN2_MACFLOAT\", \"ATAN_MACFLOAT\", \"ATOMIC_ADDITION\", \"ATOMIC_BIND\", \"ATOMIC_UNBIND\", \"ATTRIBUTES\", \"ATTR_FUNCS\", \"ATf\", \"AUTO\", \"AUTODOC_APPEND_STRING_ITERATIVE\", \"AUTODOC_AbsolutePath\", \"AUTODOC_CreateDirIfMissing\", \"AUTODOC_CurrentDirectory\", \"AUTODOC_Diff\", \"AUTODOC_ExtractMyManualExamples\", \"AUTODOC_FindMatchingFiles\", \"AUTODOC_FormatDate\", \"AUTODOC_GetSuffix\", \"AUTODOC_INSTALL_TREE_SETTERS\", \"AUTODOC_IdentifierLetters\", \"AUTODOC_LABEL_OF_CONTEXT\", \"AUTODOC_MergeRecords\", \"AUTODOC_OutputTextFile\", \"AUTODOC_PROCESS_INTRO_STRINGS\", \"AUTODOC_PositionElementIfNotAfter\", \"AUTODOC_SetIfMissing\", \"AUTODOC_TREE_NODE_NAME_ITERATOR\", \"AUTODOC_TestWorkSheet\", \"AUTODOC_XML_HEADER\", \"AUTODOC_months\", \"AVLAdd\", \"AVLAdd_C\", \"AVLAdd_GAP\", \"AVLBalFactor\", \"AVLBalFactor_C\", \"AVLBalFactor_GAP\", \"AVLCmp\", \"AVLCmp_C\", \"AVLCmp_GAP\", \"AVLData\", \"AVLData_C\", \"AVLData_GAP\", \"AVLDelete\", \"AVLDelete_C\", \"AVLDelete_GAP\", \"AVLFind\", \"AVLFindIndex\", \"AVLFindIndex_C\", \"AVLFindIndex_GAP\", \"AVLFind_C\", \"AVLFind_GAP\", \"AVLFreeNode\", \"AVLFreeNode_C\", \"AVLFreeNode_GAP\", \"AVLIndex\", \"AVLIndexAdd\", \"AVLIndexAdd_C\", \"AVLIndexAdd_GAP\", \"AVLIndexDelete\", \"AVLIndexDelete_C\", \"AVLIndexDelete_GAP\", \"AVLIndexFind\", \"AVLIndexFind_C\", \"AVLIndexFind_GAP\", \"AVLIndexLookup\", \"AVLIndexLookup_C\", \"AVLIndexLookup_GAP\", \"AVLIndex_C\", \"AVLIndex_GAP\", \"AVLLeft\", \"AVLLeft_C\", \"AVLLeft_GAP\", \"AVLLookup\", \"AVLLookup_C\", \"AVLLookup_GAP\", \"AVLNewNode\", \"AVLNewNode_C\", \"AVLNewNode_GAP\", \"AVLRank\", \"AVLRank_C\", \"AVLRank_GAP\", \"AVLRebalance\", \"AVLRebalance_C\", \"AVLRebalance_GAP\", \"AVLRight\", \"AVLRight_C\", \"AVLRight_GAP\", \"AVLSetBalFactor\", \"AVLSetBalFactor_C\", \"AVLSetBalFactor_GAP\", \"AVLSetData\", \"AVLSetData_C\", \"AVLSetData_GAP\", \"AVLSetLeft\", \"AVLSetLeft_C\", \"AVLSetLeft_GAP\", \"AVLSetRank\", \"AVLSetRank_C\", \"AVLSetRank_GAP\", \"AVLSetRight\", \"AVLSetRight_C\", \"AVLSetRight_GAP\", \"AVLSetValue\", \"AVLSetValue_C\", \"AVLSetValue_GAP\", \"AVLTest\", \"AVLToList\", \"AVLToList_C\", \"AVLToList_GAP\", \"AVLTree\", \"AVLTreeFamily\", \"AVLTreeType\", \"AVLTreeTypeMutable\", \"AVLTree_C\", \"AVLTree_GAP\", \"AVLValue\", \"AVLValue_C\", \"AVLValue_GAP\", \"AWP_FIRST_ENTRY\", \"AWP_FIRST_FREE\", \"AWP_FUN_ASSOC_WORD\", \"AWP_FUN_OBJ_BY_VECTOR\", \"AWP_NR_BITS_EXP\", \"AWP_NR_BITS_PAIR\", \"AWP_NR_GENS\", \"AWP_PURE_TYPE\", \"A_CLOSEST_VEC8BIT\", \"A_CLOSEST_VEC8BIT_COORDS\", \"A_CLOS_VEC\", \"A_CLOS_VEC_COORDS\", \"AbelianExponents\", \"AbelianGroup\", \"AbelianGroupCons\", \"AbelianGroups\", \"AbelianGroupsOfExponent\", \"AbelianIntersection\", \"AbelianInvariants\", \"AbelianInvariantsMultiplier\", \"AbelianInvariantsNormalClosureFpGroup\", \"AbelianInvariantsNormalClosureFpGroupRrs\", \"AbelianInvariantsOfList\", \"AbelianInvariantsSubgroupFpGroup\", \"AbelianInvariantsSubgroupFpGroupMtc\", \"AbelianInvariantsSubgroupFpGroupRrs\", \"AbelianLieAlgebra\", \"AbelianMinimalNormalSubgroups\", \"AbelianNumberField\", \"AbelianNumberFieldByReducedGaloisStabilizerInfo\", \"AbelianPQuotient\", \"AbelianPcpGroup\", \"AbelianQuotientBase\", \"AbelianRank\", \"AbelianSocle\", \"AbelianSocleComponents\", \"AbelianSubfactorAction\", \"AbsAndIrredModules\", \"AbsInt\", \"AbsolutIrreducibleModules\", \"AbsoluteDiameter\", \"AbsoluteIrreducibleModules\", \"AbsoluteValue\", \"AbsolutelyIrreducibleModules\", \"AbsolutelyIrreducibleSolubleMatrixGroup\", \"AbsolutelyIrreducibleSolvableMatrixGroup\", \"AbstractWordTietzeWord\", \"AbstractWordTzWord\", \"AcceptNewConnection\", \"Acos\", \"Acosh\", \"ActWithWord\", \"ActingAlgebra\", \"ActingDomain\", \"Action\", \"ActionAbelianCSPG\", \"ActionHomomorphism\", \"ActionHomomorphismAttr\", \"ActionHomomorphismConstructor\", \"ActionKernelExternalSet\", \"ActionOnDual\", \"ActionOnOrbit\", \"ActionSubspacesElementaryAbelianGroup\", \"ActivateProfileColour\", \"ActorOfExternalSet\", \"Add\", \"AddAbelianRelator\", \"AddAtomicList\", \"AddCoeffs\", \"AddCosetInfoStabChain\", \"AddDictionary\", \"AddEquation\", \"AddEquationsCR\", \"AddEquationsCREndo\", \"AddEquationsCRNorm\", \"AddEquationsSQ\", \"AddFieldCR\", \"AddGenerator\", \"AddGeneratorToProductReplacer\", \"AddGeneratorToStabilizerChain\", \"AddGenerators\", \"AddGeneratorsExtendSchreierTree\", \"AddGeneratorsGenimagesExtendSchreierTree\", \"AddGeneratorsToOrbit\", \"AddHT\", \"AddHallPolynomials\", \"AddHandlerBuildRecBibXMLEntry\", \"AddHashEntry\", \"AddIgsToIgs\", \"AddInfoCover\", \"AddInversesCR\", \"AddMOrder\", \"AddMethod\", \"AddNaturalHomomorphismOfUnitGroup\", \"AddNaturalHomomorphismsPool\", \"AddNormalizingElementPcgs\", \"AddNormalizingGenToLayer\", \"AddOperationCR\", \"AddPackageInfos\", \"AddPageNumbersToSix\", \"AddParagraphNumbersGapDocTree\", \"AddPcElementToPcSequence\", \"AddPermOper\", \"AddRefinement\", \"AddRelator\", \"AddRelatorsCR\", \"AddRootParseTree\", \"AddRowVector\", \"AddRule\", \"AddRuleReduced\", \"AddSExtension\", \"AddSet\", \"AddSetIfCanEasilySortElements\", \"AddSystem\", \"AddTailInfo\", \"AddTailVectorsCR\", \"AddToCRSystem\", \"AddToIgs\", \"AddToIgsParallel\", \"AddToIgs_Old\", \"AddToListEntries\", \"AddTranslationBasis\", \"AddUnitGroupOfNumberField\", \"AddVectorEchelonBase\", \"AddVectorLTM\", \"AddendumSCTable\", \"AdditiveCoset\", \"AdditiveElementAsMultiplicativeElement\", \"AdditiveElementsAsMultiplicativeElementsFamily\", \"AdditiveFactorPcp\", \"AdditiveGroup\", \"AdditiveGroupByGenerators\", \"AdditiveIgsParallel\", \"AdditiveInverse\", \"AdditiveInverseAttr\", \"AdditiveInverseImmutable\", \"AdditiveInverseMutable\", \"AdditiveInverseOp\", \"AdditiveInverseSM\", \"AdditiveInverseSameMutability\", \"AdditiveMagma\", \"AdditiveMagmaByGenerators\", \"AdditiveMagmaWithInverses\", \"AdditiveMagmaWithInversesByGenerators\", \"AdditiveMagmaWithZero\", \"AdditiveMagmaWithZeroByGenerators\", \"AdditiveNeutralElement\", \"AdditivelyActingDomain\", \"AdjoinedIdentityDefaultType\", \"AdjoinedIdentityFamily\", \"AdjointAssociativeAlgebra\", \"AdjointBasis\", \"AdjointMatrix\", \"AdjointModule\", \"AdjustPresentation\", \"AdjustWeights\", \"AdoptObj\", \"AdoptSingleObj\", \"AffMatMutableTrans\", \"AffineAction\", \"AffineActionAsTensor\", \"AffineActionByElement\", \"AffineActionByMatrixGroup\", \"AffineActionLayer\", \"AffineActionOnH1\", \"AffineCrystGroup\", \"AffineCrystGroupLessFun\", \"AffineCrystGroupNC\", \"AffineCrystGroupOfPointGroup\", \"AffineCrystGroupOnLeft\", \"AffineCrystGroupOnLeftNC\", \"AffineCrystGroupOnRight\", \"AffineCrystGroupOnRightNC\", \"AffineInequivalentSubgroups\", \"AffineLift\", \"AffineNormalizer\", \"AffineRepresentation\", \"AgOrbitCover\", \"Agemo\", \"AgemoAbove\", \"AgemoOp\", \"AlgExtElm\", \"AlgExtEmbeddedPol\", \"AlgExtFactSQFree\", \"AlgExtSquareHensel\", \"Algebra\", \"AlgebraBase\", \"AlgebraByGenerators\", \"AlgebraByStructureConstants\", \"AlgebraByStructureConstantsArg\", \"AlgebraGeneralMappingByImages\", \"AlgebraHomomorphismByImages\", \"AlgebraHomomorphismByImagesNC\", \"AlgebraWithOne\", \"AlgebraWithOneByGenerators\", \"AlgebraWithOneGeneralMappingByImages\", \"AlgebraWithOneHomomorphismByImages\", \"AlgebraWithOneHomomorphismByImagesNC\", \"AlgebraicElementsFamilies\", \"AlgebraicElementsFamily\", \"AlgebraicExtension\", \"AlgebraicExtensionNC\", \"AlgebraicPolynomialModP\", \"All2x2IntegerMatricesInHNFWithDeterminantUpTo\", \"AllActionsForTorsionFreeExtension\", \"AllActionsHolonomy\", \"AllAtlasGeneratingSetInfos\", \"AllAutomorphisms\", \"AllBlocks\", \"AllCharTableNames\", \"AllCharacterTableNames\", \"AllComplementsCover\", \"AllEndomorphisms\", \"AllGFqPolynomialsModDegree\", \"AllGraphs\", \"AllGroups\", \"AllHomomorphismClasses\", \"AllHomomorphisms\", \"AllInvariantSubgroupsWithNProperty\", \"AllInvariantSubgroupsWithQProperty\", \"AllIrredSolMatrixGroups\", \"AllIrreducibleMonicPolynomialCoeffsOfDegree\", \"AllIrreducibleMonicPolynomials\", \"AllIrreducibleSolubleMatrixGroups\", \"AllIrreducibleSolvableGroups\", \"AllIrreducibleSolvableMatrixGroups\", \"AllIsomorphisms\", \"AllIsomorphismsIterator\", \"AllIsomorphismsNumber\", \"AllLibTomNames\", \"AllLibraryTransitiveGroups\", \"AllModulesSQ\", \"AllMonicPolynomialCoeffsOfDegree\", \"AllNormalSubgroupsWithNProperty\", \"AllNormalSubgroupsWithQProperty\", \"AllNormalizerfixedBlockSystem\", \"AllPrimes\", \"AllPrimitiveGroups\", \"AllPrimitivePcGroups\", \"AllPrimitiveSolublePermGroups\", \"AllPrimitiveSolublePermutationGroups\", \"AllPrimitiveSolvablePermGroups\", \"AllPrimitiveSolvablePermutationGroups\", \"AllProducts\", \"AllResidueClassesModulo\", \"AllResidueClassesWithFixedRepresentativesModulo\", \"AllResidueClassesWithFixedRepsModulo\", \"AllResidues\", \"AllSmallGroups\", \"AllSmallNonabelianSimpleGroups\", \"AllSmoothIntegers\", \"AllSubgroups\", \"AllSubgroupsAbelian\", \"AllSubgroupsAbelian2\", \"AllSubgroupsIterator\", \"AllSubsetSummations\", \"AllSubspaces\", \"AllTransitiveGroups\", \"AllowableSubgroup\", \"AllowableSubgroupByMatrix\", \"AlmostCrystallographicDim3\", \"AlmostCrystallographicDim4\", \"AlmostCrystallographicGroup\", \"AlmostCrystallographicInfo\", \"AlmostCrystallographicPcpDim3\", \"AlmostCrystallographicPcpDim4\", \"AlmostCrystallographicPcpGroup\", \"Alpha\", \"AlternatingDegree\", \"AlternatingGroup\", \"AlternatingGroupCons\", \"AlternatingSubgroup\", \"AlwaysPrintTracebackOnError\", \"AncestorLVars\", \"AndToCommaNames\", \"AntiIsomorphismTransformationSemigroup\", \"AntiSymmetricParts\", \"Append\", \"AppendCollectedList\", \"AppendTo\", \"AppendTo1\", \"ApplicableMethod\", \"ApplicableMethodTypes\", \"Apply\", \"ApplyAut\", \"ApplyFactoringMethod\", \"ApplyRel\", \"ApplyRel2\", \"ApplySimpleReflection\", \"ApplyToNodesParseTree\", \"ApproxRational\", \"ApproxRelationLattice\", \"ApproxRootBound\", \"ApproximateRoot\", \"ApproximateSuborbitsStabiliserPermGroup\", \"ApproximateSuborbitsStabilizerPermGroup\", \"AreIsomorphicNilpotentLieAlgebras\", \"Argument\", \"ArithmeticElementCreator\", \"Arrangements\", \"ArrangementsA\", \"ArrangementsK\", \"AsAffineCrystGroup\", \"AsAffineCrystGroupOnLeft\", \"AsAffineCrystGroupOnRight\", \"AsAlgebra\", \"AsAlgebraWithOne\", \"AsBBoxProgram\", \"AsBinaryRelation\", \"AsBinaryRelationOnPoints\", \"AsBlockMatrix\", \"AsCharacterMorphismFunction\", \"AsDivisionRing\", \"AsDuplicateFreeList\", \"AsFLMLOR\", \"AsFLMLORWithOne\", \"AsField\", \"AsGroup\", \"AsGroupGeneralMappingByImages\", \"AsInducedPcgs\", \"AsInternalFFE\", \"AsInverseMonoid\", \"AsInverseSemigroup\", \"AsInverseSubmonoid\", \"AsInverseSubsemigroup\", \"AsLeftIdeal\", \"AsLeftMagmaIdeal\", \"AsLeftModule\", \"AsLeftModuleGeneralMappingByImages\", \"AsLieAlgebra\", \"AsList\", \"AsListOfClasses\", \"AsListOfFreeLeftModule\", \"AsList_Subset\", \"AsMagma\", \"AsMagmaIdeal\", \"AsMonoid\", \"AsNearRing\", \"AsOrdinaryUnionOfResidueClasses\", \"AsPartialPerm\", \"AsPermutation\", \"AsPlist\", \"AsPolynomial\", \"AsRightIdeal\", \"AsRightMagmaIdeal\", \"AsRing\", \"AsSSortedList\", \"AsSSortedListList\", \"AsSSortedListNonstored\"
